About the Number

138070627200

138070627199 ← → 138070627201

2進数表記:10000000100101101001101001001110000000

漢数字表記:千三百八十億七千六十二万七千二百

素因数分解:

2 7 × 3 2 × 5 2 × 11 1 × 17 1 × 31 1 × 827 1

素因数の和:916
約数の個数: 1152
約数和(自身を含む): 588138071040
約数和(自身を除く): 450067443840

約数列:
[1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 17, 18, 20, 22, 24, 25, 30, 31, 32, 33, 34, 36, 40, 44, 45, 48, 50, 51, 55, 60, 62, 64, 66, 68, 72, 75, 80, 85, 88, 90, 93, 96, 99, 100, 102, 110, 120, 124, 128, 132, 136, 144, 150, 153, 155, 160, 165, 170, 176, 180, 186, 187, 192, 198, 200, 204, 220, 225, 240, 248, 255, 264, 272, 275, 279, 288, 300, 306, 310, 320, 330, 340, 341, 352, 360, 372, 374, 384, 396, 400, 408, 425, 440, 450, 465, 480, 495, 496, 510, 527, 528, 544, 550, 558, 561, 576, 600, 612, 620, 640, 660, 680, 682, 704, 720, 744, 748, 765, 775, 792, 800, 816, 825, 827, 850, 880, 900, 930, 935, 960, 990, 992, 1020, 1023, 1054, 1056, 1088, 1100, 1116, 1122, 1152, 1200, 1224, 1240, 1275, 1320, 1360, 1364, 1395, 1408, 1440, 1488, 1496, 1530, 1550, 1581, 1584, 1600, 1632, 1650, 1654, 1683, 1700, 1705, 1760, 1800, 1860, 1870, 1920, 1980, 1984, 2040, 2046, 2108, 2112, 2176, 2200, 2232, 2244, 2325, 2400, 2448, 2475, 2480, 2481, 2550, 2635, 2640, 2720, 2728, 2790, 2805, 2880, 2976, 2992, 3060, 3069, 3100, 3162, 3168, 3200, 3264, 3300, 3308, 3366, 3400, 3410, 3520, 3600, 3720, 3740, 3825, 3960, 3968, 4080, 4092, 4135, 4216, 4224, 4400, 4464, 4488, 4650, 4675, 4743, 4800, 4896, 4950, 4960, 4962, 5100, 5115, 5270, 5280, 5440, 5456, 5580, 5610, 5760, 5797, 5952, 5984, 6120, 6138, 6200, 6324, 6336, 6528, 6600, 6616, 6732, 6800, 6820, 6975, 7040, 7200, 7440, 7443, 7480, 7650, 7905, 7920, 8160, 8184, 8270, 8415, 8432, 8525, 8800, 8928, 8976, 9097, 9300, 9350, 9486, 9600, 9792, 9900, 9920, 9924, 10200, 10230, 10540, 10560, 10880, 10912, 11160, 11220, 11594, 11904, 11968, 12240, 12276, 12400, 12405, 12648, 12672, 13175, 13200, 13232, 13464, 13600, 13640, 13950, 14025, 14059, 14400, 14880, 14886, 14960, 15300, 15345, 15810, 15840, 16320, 16368, 16540, 16830, 16864, 17050, 17391, 17600, 17856, 17952, 18194, 18600, 18700, 18972, 19584, 19800, 19840, 19848, 20400, 20460, 20675, 21080, 21120, 21824, 22320, 22440, 23188, 23715, 23936, 24480, 24552, 24800, 24810, 25296, 25575, 25637, 26350, 26400, 26464, 26928, 27200, 27280, 27291, 27900, 28050, 28118, 28800, 28985, 29760, 29772, 29920, 30600, 30690, 31620, 31680, 32640, 32736, 33080, 33660, 33728, 34100, 34782, 35200, 35712, 35904, 36388, 37200, 37215, 37400, 37944, 39525, 39600, 39696, 40800, 40920, 41350, 42075, 42160, 42177, 43648, 44640, 44880, 45485, 46376, 47430, 48960, 49104, 49600, 49620, 50592, 51150, 51274, 52173, 52700, 52800, 52928, 53856, 54400, 54560, 54582, 55800, 56100, 56236, 57970, 59520, 59544, 59840, 61200, 61380, 62025, 63240, 63360, 65472, 66160, 67320, 67456, 68200, 69564, 70295, 71808, 72776, 74400, 74430, 74800, 75888, 76725, 76911, 79050, 79200, 79392, 81600, 81840, 81873, 82700, 84150, 84320, 84354, 86955, 89280, 89760, 90970, 92752, 94860, 97920, 98208, 99200, 99240, 101184, 102300, 102548, 104346, 105400, 105600, 105856, 107712, 109120, 109164, 111600, 112200, 112472, 115940, 118575, 119088, 119680, 122400, 122760, 124050, 126480, 126531, 128185, 130944, 132320, 134640, 136400, 136455, 139128, 140590, 144925, 145552, 148800, 148860, 149600, 151776, 153450, 153822, 154649, 158100, 158400, 158784, 163200, 163680, 163746, 165400, 168300, 168640, 168708, 173910, 178560, 179520, 181940, 185504, 186075, 189720, 196416, 198480, 202368, 204600, 205096, 208692, 210800, 210885, 215424, 218240, 218328, 223200, 224400, 224944, 227425, 230733, 231880, 237150, 238176, 244800, 245520, 248100, 252960, 253062, 256370, 260865, 264640, 269280, 272800, 272910, 278256, 281180, 282007, 289850, 291104, 297600, 297720, 299200, 303552, 306900, 307644, 309298, 316200, 316800, 317568, 327360, 327492, 330800, 336600, 337280, 337416, 347820, 351475, 359040, 363880, 371008, 372150, 379440, 384555, 392832, 396960, 409200, 409365, 410192, 417384, 421600, 421770, 434775, 435829, 436656, 446400, 448800, 449888, 454850, 461466, 463760, 463947, 474300, 476352, 489600, 491040, 496200, 505920, 506124, 512740, 521730, 529280, 538560, 545600, 545820, 556512, 562360, 564014, 579700, 582208, 595440, 598400, 607104, 613800, 615288, 618596, 632400, 632655, 640925, 654720, 654984, 661600, 673200, 674832, 682275, 695640, 702950, 727760, 742016, 744300, 758880, 769110, 773245, 793920, 818400, 818730, 820384, 834768, 843200, 843540, 846021, 869550, 871658, 873312, 892800, 897600, 899776, 909700, 922932, 927520, 927894, 948600, 952704, 982080, 992400, 1011840, 1012248, 1025480, 1043460, 1054425, 1077120, 1091200, 1091640, 1113024, 1124720, 1128028, 1153665, 1159400, 1164416, 1190880, 1227600, 1230576, 1237192, 1264800, 1265310, 1281850, 1304325, 1307487, 1309968, 1323200, 1346400, 1349664, 1364550, 1391280, 1391841, 1405900, 1410035, 1455520, 1488600, 1517760, 1538220, 1546490, 1587840, 1636800, 1637460, 1640768, 1669536, 1686400, 1687080, 1692042, 1739100, 1743316, 1746624, 1795200, 1799552, 1819400, 1845864, 1855040, 1855788, 1897200, 1922775, 1964160, 1984800, 2024496, 2046825, 2050960, 2086920, 2108850, 2179145, 2183280, 2226048, 2249440, 2256056, 2307330, 2318800, 2319735, 2381760, 2455200, 2461152, 2474384, 2529600, 2530620, 2538063, 2563700, 2608650, 2614974, 2619936, 2646400, 2692800, 2699328, 2729100, 2782560, 2783682, 2811800, 2820070, 2911040, 2977200, 3035520, 3076440, 3092980, 3163275, 3273600, 3274920, 3281536, 3339072, 3374160, 3384084, 3478200, 3486632, 3493248, 3638800, 3691728, 3710080, 3711576, 3794400, 3845550, 3866225, 3922461, 3969600, 4048992, 4093650, 4101920, 4173840, 4217700, 4230105, 4358290, 4366560, 4498880, 4512112, 4614660, 4637600, 4639470, 4763520, 4794119, 4910400, 4922304, 4948768, 5059200, 5061240, 5076126, 5127400, 5217300, 5229948, 5239872, 5385600, 5398656, 5458200, 5565120, 5567364, 5623600, 5640140, 5768325, 5822080, 5954400, 6152880, 6185960, 6326550, 6537435, 6549840, 6678144, 6748320, 6768168, 6956400, 6959205, 6973264, 7050175, 7277600, 7383456, 7423152, 7588800, 7691100, 7732450, 7844922, 7939200, 8097984, 8187300, 8203840, 8347680, 8435400, 8460210, 8716580, 8733120, 8997760, 9024224, 9229320, 9275200, 9278940, 9588238, 9820800, 9844608, 9897536, 10122480, 10152252, 10254800, 10434600, 10459896, 10479744, 10895725, 10916400, 11130240, 11134728, 11247200, 11280280, 11536650, 11598675, 11908800, 12305760, 12371920, 12653100, 12690315, 13074870, 13099680, 13496640, 13536336, 13912800, 13918410, 13946528, 14100350, 14382357, 14555200, 14766912, 14846304, 15177600, 15382200, 15464900, 15689844, 16195968, 16374600, 16407680, 16695360, 16870800, 16920420, 17433160, 17466240, 18048448, 18458640, 18550400, 18557880, 19176476, 19612305, 19795072, 20244960, 20304504, 20509600, 20869200, 20919792, 21150525, 21791450, 21832800, 22269456, 22494400, 22560560, 23073300, 23197350, 23817600, 23970595, 24611520, 24743840, 25306200, 25380630, 26149740, 26199360, 26993280, 27072672, 27825600, 27836820, 27893056, 28200700, 28764714, 29110400, 29533824, 29692608, 30764400, 30929800, 31379688, 32687175, 32749200, 33390720, 33741600, 33840840, 34796025, 34866320, 36096896, 36917280, 37115760, 38352952, 39224610, 40489920, 40609008, 41019200, 41738400, 41839584, 42301050, 43147071, 43582900, 43665600, 44538912, 44988800, 45121120, 46146600, 46394700, 47941190, 49223040, 49487680, 50612400, 50761260, 52299480, 52398720, 54145344, 55651200, 55673640, 55786112, 56401400, 57529428, 59385216, 61528800, 61859600, 62759376, 63451575, 65374350, 65498400, 67483200, 67681680, 69592050, 69732640, 71911785, 73834560, 74231520, 76705904, 78449220, 80979840, 81218016, 82038400, 83476800, 83679168, 84602100, 86294142, 87165800, 87331200, 89077824, 90242240, 92293200, 92789400, 95882380, 98061525, 98975360, 101224800, 101522520, 104598960, 108290688, 111347280, 112802800, 115058856, 119852975, 123057600, 123719200, 125518752, 126903150, 130748700, 130996800, 134966400, 135363360, 139184100, 139465280, 143823570, 147669120, 148463040, 153411808, 156898440, 162436032, 166953600, 167358336, 169204200, 172588284, 174331600, 178155648, 180484480, 184586400, 185578800, 191764760, 196123050, 202449600, 203045040, 209197920, 215735355, 222694560, 225605600, 230117712, 239705950, 246115200, 247438400, 251037504, 253806300, 261497400, 261993600, 270726720, 278368200, 278930560, 287647140, 296926080, 306823616, 313796880, 324872064, 338408400, 345176568, 348663200, 359558925, 369172800, 371157600, 383529520, 392246100, 404899200, 406090080, 418395840, 431470710, 445389120, 451211200, 460235424, 479411900, 494876800, 502075008, 507612600, 522994800, 541453440, 556736400, 575294280, 613647232, 627593760, 676816800, 690353136, 697326400, 719117850, 738345600, 742315200, 767059040, 784492200, 812180160, 836791680, 862941420, 890778240, 902422400, 920470848, 958823800, 1015225200, 1045989600, 1078676775, 1113472800, 1150588560, 1255187520, 1353633600, 1380706272, 1394652800, 1438235700, 1484630400, 1534118080, 1568984400, 1624360320, 1725882840, 1840941696, 1917647600, 2030450400, 2091979200, 2157353550, 2226945600, 2301177120, 2510375040, 2707267200, 2761412544, 2876471400, 3068236160, 3137968800, 3451765680, 3835295200, 4060900800, 4183958400, 4314707100, 4453891200, 4602354240, 5522825088, 5752942800, 6275937600, 6903531360, 7670590400, 8121801600, 8629414200, 9204708480, 11505885600, 12551875200, 13807062720, 15341180800, 17258828400, 23011771200, 27614125440, 34517656800, 46023542400, 69035313600, 138070627200]

約数ペア:
[(1, 138070627200), (2, 69035313600), (3, 46023542400), (4, 34517656800), (5, 27614125440), (6, 23011771200), (8, 17258828400), (9, 15341180800), (10, 13807062720), (11, 12551875200), (12, 11505885600), (15, 9204708480), (16, 8629414200), (17, 8121801600), (18, 7670590400), (20, 6903531360), (22, 6275937600), (24, 5752942800), (25, 5522825088), (30, 4602354240), (31, 4453891200), (32, 4314707100), (33, 4183958400), (34, 4060900800), (36, 3835295200), (40, 3451765680), (44, 3137968800), (45, 3068236160), (48, 2876471400), (50, 2761412544), (51, 2707267200), (55, 2510375040), (60, 2301177120), (62, 2226945600), (64, 2157353550), (66, 2091979200), (68, 2030450400), (72, 1917647600), (75, 1840941696), (80, 1725882840), (85, 1624360320), (88, 1568984400), (90, 1534118080), (93, 1484630400), (96, 1438235700), (99, 1394652800), (100, 1380706272), (102, 1353633600), (110, 1255187520), (120, 1150588560), (124, 1113472800), (128, 1078676775), (132, 1045989600), (136, 1015225200), (144, 958823800), (150, 920470848), (153, 902422400), (155, 890778240), (160, 862941420), (165, 836791680), (170, 812180160), (176, 784492200), (180, 767059040), (186, 742315200), (187, 738345600), (192, 719117850), (198, 697326400), (200, 690353136), (204, 676816800), (220, 627593760), (225, 613647232), (240, 575294280), (248, 556736400), (255, 541453440), (264, 522994800), (272, 507612600), (275, 502075008), (279, 494876800), (288, 479411900), (300, 460235424), (306, 451211200), (310, 445389120), (320, 431470710), (330, 418395840), (340, 406090080), (341, 404899200), (352, 392246100), (360, 383529520), (372, 371157600), (374, 369172800), (384, 359558925), (396, 348663200), (400, 345176568), (408, 338408400), (425, 324872064), (440, 313796880), (450, 306823616), (465, 296926080), (480, 287647140), (495, 278930560), (496, 278368200), (510, 270726720), (527, 261993600), (528, 261497400), (544, 253806300), (550, 251037504), (558, 247438400), (561, 246115200), (576, 239705950), (600, 230117712), (612, 225605600), (620, 222694560), (640, 215735355), (660, 209197920), (680, 203045040), (682, 202449600), (704, 196123050), (720, 191764760), (744, 185578800), (748, 184586400), (765, 180484480), (775, 178155648), (792, 174331600), (800, 172588284), (816, 169204200), (825, 167358336), (827, 166953600), (850, 162436032), (880, 156898440), (900, 153411808), (930, 148463040), (935, 147669120), (960, 143823570), (990, 139465280), (992, 139184100), (1020, 135363360), (1023, 134966400), (1054, 130996800), (1056, 130748700), (1088, 126903150), (1100, 125518752), (1116, 123719200), (1122, 123057600), (1152, 119852975), (1200, 115058856), (1224, 112802800), (1240, 111347280), (1275, 108290688), (1320, 104598960), (1360, 101522520), (1364, 101224800), (1395, 98975360), (1408, 98061525), (1440, 95882380), (1488, 92789400), (1496, 92293200), (1530, 90242240), (1550, 89077824), (1581, 87331200), (1584, 87165800), (1600, 86294142), (1632, 84602100), (1650, 83679168), (1654, 83476800), (1683, 82038400), (1700, 81218016), (1705, 80979840), (1760, 78449220), (1800, 76705904), (1860, 74231520), (1870, 73834560), (1920, 71911785), (1980, 69732640), (1984, 69592050), (2040, 67681680), (2046, 67483200), (2108, 65498400), (2112, 65374350), (2176, 63451575), (2200, 62759376), (2232, 61859600), (2244, 61528800), (2325, 59385216), (2400, 57529428), (2448, 56401400), (2475, 55786112), (2480, 55673640), (2481, 55651200), (2550, 54145344), (2635, 52398720), (2640, 52299480), (2720, 50761260), (2728, 50612400), (2790, 49487680), (2805, 49223040), (2880, 47941190), (2976, 46394700), (2992, 46146600), (3060, 45121120), (3069, 44988800), (3100, 44538912), (3162, 43665600), (3168, 43582900), (3200, 43147071), (3264, 42301050), (3300, 41839584), (3308, 41738400), (3366, 41019200), (3400, 40609008), (3410, 40489920), (3520, 39224610), (3600, 38352952), (3720, 37115760), (3740, 36917280), (3825, 36096896), (3960, 34866320), (3968, 34796025), (4080, 33840840), (4092, 33741600), (4135, 33390720), (4216, 32749200), (4224, 32687175), (4400, 31379688), (4464, 30929800), (4488, 30764400), (4650, 29692608), (4675, 29533824), (4743, 29110400), (4800, 28764714), (4896, 28200700), (4950, 27893056), (4960, 27836820), (4962, 27825600), (5100, 27072672), (5115, 26993280), (5270, 26199360), (5280, 26149740), (5440, 25380630), (5456, 25306200), (5580, 24743840), (5610, 24611520), (5760, 23970595), (5797, 23817600), (5952, 23197350), (5984, 23073300), (6120, 22560560), (6138, 22494400), (6200, 22269456), (6324, 21832800), (6336, 21791450), (6528, 21150525), (6600, 20919792), (6616, 20869200), (6732, 20509600), (6800, 20304504), (6820, 20244960), (6975, 19795072), (7040, 19612305), (7200, 19176476), (7440, 18557880), (7443, 18550400), (7480, 18458640), (7650, 18048448), (7905, 17466240), (7920, 17433160), (8160, 16920420), (8184, 16870800), (8270, 16695360), (8415, 16407680), (8432, 16374600), (8525, 16195968), (8800, 15689844), (8928, 15464900), (8976, 15382200), (9097, 15177600), (9300, 14846304), (9350, 14766912), (9486, 14555200), (9600, 14382357), (9792, 14100350), (9900, 13946528), (9920, 13918410), (9924, 13912800), (10200, 13536336), (10230, 13496640), (10540, 13099680), (10560, 13074870), (10880, 12690315), (10912, 12653100), (11160, 12371920), (11220, 12305760), (11594, 11908800), (11904, 11598675), (11968, 11536650), (12240, 11280280), (12276, 11247200), (12400, 11134728), (12405, 11130240), (12648, 10916400), (12672, 10895725), (13175, 10479744), (13200, 10459896), (13232, 10434600), (13464, 10254800), (13600, 10152252), (13640, 10122480), (13950, 9897536), (14025, 9844608), (14059, 9820800), (14400, 9588238), (14880, 9278940), (14886, 9275200), (14960, 9229320), (15300, 9024224), (15345, 8997760), (15810, 8733120), (15840, 8716580), (16320, 8460210), (16368, 8435400), (16540, 8347680), (16830, 8203840), (16864, 8187300), (17050, 8097984), (17391, 7939200), (17600, 7844922), (17856, 7732450), (17952, 7691100), (18194, 7588800), (18600, 7423152), (18700, 7383456), (18972, 7277600), (19584, 7050175), (19800, 6973264), (19840, 6959205), (19848, 6956400), (20400, 6768168), (20460, 6748320), (20675, 6678144), (21080, 6549840), (21120, 6537435), (21824, 6326550), (22320, 6185960), (22440, 6152880), (23188, 5954400), (23715, 5822080), (23936, 5768325), (24480, 5640140), (24552, 5623600), (24800, 5567364), (24810, 5565120), (25296, 5458200), (25575, 5398656), (25637, 5385600), (26350, 5239872), (26400, 5229948), (26464, 5217300), (26928, 5127400), (27200, 5076126), (27280, 5061240), (27291, 5059200), (27900, 4948768), (28050, 4922304), (28118, 4910400), (28800, 4794119), (28985, 4763520), (29760, 4639470), (29772, 4637600), (29920, 4614660), (30600, 4512112), (30690, 4498880), (31620, 4366560), (31680, 4358290), (32640, 4230105), (32736, 4217700), (33080, 4173840), (33660, 4101920), (33728, 4093650), (34100, 4048992), (34782, 3969600), (35200, 3922461), (35712, 3866225), (35904, 3845550), (36388, 3794400), (37200, 3711576), (37215, 3710080), (37400, 3691728), (37944, 3638800), (39525, 3493248), (39600, 3486632), (39696, 3478200), (40800, 3384084), (40920, 3374160), (41350, 3339072), (42075, 3281536), (42160, 3274920), (42177, 3273600), (43648, 3163275), (44640, 3092980), (44880, 3076440), (45485, 3035520), (46376, 2977200), (47430, 2911040), (48960, 2820070), (49104, 2811800), (49600, 2783682), (49620, 2782560), (50592, 2729100), (51150, 2699328), (51274, 2692800), (52173, 2646400), (52700, 2619936), (52800, 2614974), (52928, 2608650), (53856, 2563700), (54400, 2538063), (54560, 2530620), (54582, 2529600), (55800, 2474384), (56100, 2461152), (56236, 2455200), (57970, 2381760), (59520, 2319735), (59544, 2318800), (59840, 2307330), (61200, 2256056), (61380, 2249440), (62025, 2226048), (63240, 2183280), (63360, 2179145), (65472, 2108850), (66160, 2086920), (67320, 2050960), (67456, 2046825), (68200, 2024496), (69564, 1984800), (70295, 1964160), (71808, 1922775), (72776, 1897200), (74400, 1855788), (74430, 1855040), (74800, 1845864), (75888, 1819400), (76725, 1799552), (76911, 1795200), (79050, 1746624), (79200, 1743316), (79392, 1739100), (81600, 1692042), (81840, 1687080), (81873, 1686400), (82700, 1669536), (84150, 1640768), (84320, 1637460), (84354, 1636800), (86955, 1587840), (89280, 1546490), (89760, 1538220), (90970, 1517760), (92752, 1488600), (94860, 1455520), (97920, 1410035), (98208, 1405900), (99200, 1391841), (99240, 1391280), (101184, 1364550), (102300, 1349664), (102548, 1346400), (104346, 1323200), (105400, 1309968), (105600, 1307487), (105856, 1304325), (107712, 1281850), (109120, 1265310), (109164, 1264800), (111600, 1237192), (112200, 1230576), (112472, 1227600), (115940, 1190880), (118575, 1164416), (119088, 1159400), (119680, 1153665), (122400, 1128028), (122760, 1124720), (124050, 1113024), (126480, 1091640), (126531, 1091200), (128185, 1077120), (130944, 1054425), (132320, 1043460), (134640, 1025480), (136400, 1012248), (136455, 1011840), (139128, 992400), (140590, 982080), (144925, 952704), (145552, 948600), (148800, 927894), (148860, 927520), (149600, 922932), (151776, 909700), (153450, 899776), (153822, 897600), (154649, 892800), (158100, 873312), (158400, 871658), (158784, 869550), (163200, 846021), (163680, 843540), (163746, 843200), (165400, 834768), (168300, 820384), (168640, 818730), (168708, 818400), (173910, 793920), (178560, 773245), (179520, 769110), (181940, 758880), (185504, 744300), (186075, 742016), (189720, 727760), (196416, 702950), (198480, 695640), (202368, 682275), (204600, 674832), (205096, 673200), (208692, 661600), (210800, 654984), (210885, 654720), (215424, 640925), (218240, 632655), (218328, 632400), (223200, 618596), (224400, 615288), (224944, 613800), (227425, 607104), (230733, 598400), (231880, 595440), (237150, 582208), (238176, 579700), (244800, 564014), (245520, 562360), (248100, 556512), (252960, 545820), (253062, 545600), (256370, 538560), (260865, 529280), (264640, 521730), (269280, 512740), (272800, 506124), (272910, 505920), (278256, 496200), (281180, 491040), (282007, 489600), (289850, 476352), (291104, 474300), (297600, 463947), (297720, 463760), (299200, 461466), (303552, 454850), (306900, 449888), (307644, 448800), (309298, 446400), (316200, 436656), (316800, 435829), (317568, 434775), (327360, 421770), (327492, 421600), (330800, 417384), (336600, 410192), (337280, 409365), (337416, 409200), (347820, 396960), (351475, 392832), (359040, 384555), (363880, 379440), (371008, 372150)]

このpageの処理時間: 1.3033230304718018 seconds