About the Number

138070662912

138070662911 ← → 138070662913

2進数表記:10000000100101101001110001111100000000

漢数字表記:千三百八十億七千六十六万二千九百十二

素因数分解:

2 8 × 3 3 × 7 1 × 13 1 × 31 1 × 73 1 × 97 1

素因数の和:246
約数の個数: 1152
約数和(自身を含む): 531259473920
約数和(自身を除く): 393188811008

約数列:
[1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 16, 18, 21, 24, 26, 27, 28, 31, 32, 36, 39, 42, 48, 52, 54, 56, 62, 63, 64, 72, 73, 78, 84, 91, 93, 96, 97, 104, 108, 112, 117, 124, 126, 128, 144, 146, 156, 168, 182, 186, 189, 192, 194, 208, 216, 217, 219, 224, 234, 248, 252, 256, 273, 279, 288, 291, 292, 312, 336, 351, 364, 372, 378, 384, 388, 403, 416, 432, 434, 438, 448, 468, 496, 504, 511, 546, 558, 576, 582, 584, 624, 651, 657, 672, 679, 702, 728, 744, 756, 768, 776, 806, 819, 832, 837, 864, 868, 873, 876, 896, 936, 949, 992, 1008, 1022, 1092, 1116, 1152, 1164, 1168, 1209, 1248, 1261, 1302, 1314, 1344, 1358, 1404, 1456, 1488, 1512, 1533, 1552, 1612, 1638, 1664, 1674, 1728, 1736, 1746, 1752, 1792, 1872, 1898, 1953, 1971, 1984, 2016, 2037, 2044, 2184, 2232, 2263, 2304, 2328, 2336, 2418, 2457, 2496, 2522, 2604, 2619, 2628, 2688, 2716, 2808, 2821, 2847, 2912, 2976, 3007, 3024, 3066, 3104, 3224, 3276, 3328, 3348, 3456, 3472, 3492, 3504, 3627, 3744, 3783, 3796, 3906, 3942, 3968, 4032, 4074, 4088, 4368, 4464, 4526, 4599, 4656, 4672, 4836, 4914, 4992, 5044, 5208, 5238, 5256, 5376, 5432, 5616, 5642, 5694, 5824, 5859, 5952, 6014, 6048, 6111, 6132, 6208, 6448, 6552, 6643, 6696, 6789, 6912, 6944, 6984, 7008, 7081, 7254, 7488, 7566, 7592, 7812, 7884, 7936, 8064, 8148, 8176, 8463, 8541, 8736, 8827, 8928, 9021, 9052, 9198, 9312, 9344, 9672, 9828, 9984, 10088, 10416, 10476, 10512, 10864, 10881, 11232, 11284, 11349, 11388, 11648, 11718, 11904, 12028, 12096, 12222, 12264, 12416, 12896, 13104, 13286, 13392, 13578, 13797, 13888, 13968, 14016, 14162, 14508, 14976, 15132, 15184, 15624, 15768, 15841, 16128, 16296, 16352, 16926, 17082, 17472, 17654, 17856, 18042, 18104, 18333, 18396, 18624, 18688, 19344, 19656, 19929, 20176, 20367, 20832, 20952, 21024, 21049, 21243, 21728, 21762, 22464, 22568, 22698, 22776, 23296, 23436, 23808, 24056, 24192, 24444, 24528, 24832, 25389, 25623, 25792, 26208, 26481, 26572, 26784, 27063, 27156, 27594, 27776, 27936, 28032, 28324, 29016, 29419, 29952, 30264, 30368, 31248, 31536, 31682, 32592, 32704, 33852, 34047, 34164, 34944, 35308, 35712, 36084, 36208, 36666, 36792, 37248, 38688, 39091, 39312, 39858, 40352, 40734, 41664, 41904, 42048, 42098, 42486, 43456, 43524, 44928, 45136, 45396, 45552, 46872, 47523, 48112, 48384, 48888, 49056, 49567, 50778, 51246, 51584, 52416, 52962, 53144, 53568, 54126, 54312, 55188, 55552, 55872, 56064, 56648, 58032, 58838, 59787, 60528, 60736, 61101, 62496, 63072, 63147, 63364, 63729, 65184, 65408, 67704, 68094, 68328, 69888, 70616, 71424, 72168, 72416, 73332, 73584, 74496, 76167, 77376, 78182, 78624, 79443, 79716, 80704, 81189, 81468, 83328, 83808, 84096, 84196, 84972, 86912, 87048, 88257, 89856, 90272, 90792, 91104, 92053, 93744, 95046, 96224, 97776, 98112, 99134, 101556, 102492, 103168, 104832, 105924, 106288, 107136, 108252, 108624, 110376, 111744, 113296, 116064, 117273, 117676, 119574, 121056, 121472, 122202, 124992, 126144, 126294, 126728, 127458, 130368, 130816, 135408, 136188, 136656, 141232, 142569, 144336, 144832, 146664, 147168, 148701, 152334, 154752, 156364, 157248, 158886, 159432, 161408, 162378, 162936, 166656, 167616, 168192, 168392, 169944, 173824, 174096, 176514, 179361, 180544, 181584, 182208, 184106, 187488, 189441, 190092, 191187, 192448, 195552, 196224, 198268, 203112, 204984, 205933, 209664, 211848, 212576, 214272, 216504, 217248, 219511, 220752, 223488, 226592, 232128, 234546, 235352, 238329, 239148, 242112, 242944, 244404, 249984, 252288, 252588, 253456, 254916, 260736, 264771, 270816, 272376, 273312, 273637, 276159, 282464, 285138, 288672, 289664, 293328, 294336, 297402, 304668, 309504, 312728, 314496, 317772, 318864, 322816, 324756, 325872, 335232, 336784, 339888, 348192, 351819, 353028, 358722, 361088, 363168, 364416, 368212, 374976, 378882, 380184, 382374, 384896, 391104, 392448, 396536, 406224, 409968, 411866, 423696, 425152, 427707, 433008, 434496, 439022, 441504, 446103, 453184, 464256, 469092, 470704, 476658, 478296, 484224, 488808, 499968, 504576, 505176, 506912, 509832, 521472, 529542, 541632, 544752, 546624, 547274, 552318, 564928, 568323, 570276, 577344, 579328, 586656, 588672, 594804, 609336, 617799, 625456, 628992, 635544, 637728, 644371, 649512, 651744, 658533, 670464, 673568, 679776, 696384, 703638, 706056, 717444, 722176, 726336, 728832, 736424, 749952, 757764, 760368, 764748, 769792, 782208, 793072, 794313, 812448, 819936, 820911, 823732, 828477, 847392, 850304, 855414, 866016, 868992, 878044, 883008, 892206, 906368, 928512, 938184, 941408, 953316, 956592, 968448, 977616, 1010352, 1013824, 1019664, 1055457, 1059084, 1083264, 1089504, 1093248, 1094548, 1104636, 1129856, 1136646, 1140552, 1154688, 1173312, 1177344, 1189608, 1218672, 1235598, 1250912, 1271088, 1275456, 1288742, 1299024, 1303488, 1317066, 1338309, 1347136, 1359552, 1392768, 1407276, 1412112, 1434888, 1452672, 1472848, 1499904, 1515528, 1520736, 1529496, 1536577, 1564416, 1586144, 1588626, 1624896, 1639872, 1641822, 1647464, 1656954, 1694784, 1700608, 1710828, 1732032, 1737984, 1756088, 1766016, 1784412, 1812736, 1853397, 1876368, 1882816, 1906632, 1913184, 1933113, 1955232, 1975599, 2020704, 2027648, 2039328, 2110914, 2118168, 2166528, 2179008, 2186496, 2189096, 2209272, 2259712, 2273292, 2281104, 2309376, 2346624, 2379216, 2437344, 2462733, 2471196, 2485431, 2501824, 2542176, 2550912, 2577484, 2598048, 2606976, 2634132, 2676618, 2694272, 2719104, 2785536, 2814552, 2824224, 2853643, 2869776, 2905344, 2945696, 3031056, 3041472, 3058992, 3073154, 3172288, 3177252, 3249792, 3279744, 3283644, 3294928, 3313908, 3389568, 3421656, 3464064, 3512176, 3532032, 3568824, 3706794, 3752736, 3765632, 3813264, 3826368, 3866226, 3910464, 3951198, 4041408, 4055296, 4078656, 4221828, 4236336, 4358016, 4378192, 4418544, 4546584, 4562208, 4609731, 4693248, 4758432, 4874688, 4925466, 4942392, 4970862, 5003648, 5084352, 5101824, 5154968, 5196096, 5213952, 5268264, 5353236, 5388544, 5438208, 5560191, 5629104, 5648448, 5707286, 5739552, 5799339, 5891392, 5926797, 6062112, 6082944, 6117984, 6146308, 6344576, 6354504, 6499584, 6559488, 6567288, 6589856, 6627816, 6779136, 6843312, 6928128, 7024352, 7137648, 7388199, 7413588, 7505472, 7531264, 7626528, 7652736, 7732452, 7820928, 7902396, 8082816, 8157312, 8443656, 8472672, 8560929, 8716032, 8756384, 8837088, 9093168, 9124416, 9219462, 9516864, 9749376, 9850932, 9884784, 9941724, 10007296, 10168704, 10309936, 10392192, 10536528, 10706472, 11120382, 11258208, 11296896, 11414572, 11479104, 11598678, 11782784, 11853594, 12124224, 12165888, 12235968, 12292616, 12689152, 12709008, 13134576, 13179712, 13255632, 13686624, 13829193, 14048704, 14275296, 14776398, 14827176, 15010944, 15253056, 15305472, 15464904, 15641856, 15804792, 16165632, 16314624, 16887312, 16945344, 17121858, 17398017, 17512768, 17674176, 18186336, 18248832, 18438924, 19033728, 19498752, 19701864, 19769568, 19883448, 19975501, 20337408, 20619872, 20784384, 21073056, 21412944, 22240764, 22516416, 22593792, 22829144, 22958208, 23197356, 23565568, 23707188, 24248448, 24471936, 24585232, 25418016, 25682787, 26269152, 26359424, 26511264, 27373248, 27658386, 28097408, 28550592, 29552796, 29654352, 30021888, 30506112, 30929808, 31609584, 33774624, 33890688, 34243716, 34796034, 35025536, 35348352, 36372672, 36497664, 36877848, 38067456, 39403728, 39539136, 39766896, 39951002, 41239744, 41487579, 42146112, 42825888, 44481528, 45032832, 45658288, 45916416, 46394712, 47414376, 48496896, 48943872, 49170464, 50836032, 51365574, 52538304, 52718848, 53022528, 54746496, 55316772, 56194816, 57101184, 59105592, 59308704, 59926503, 61012224, 61859616, 63219168, 67549248, 67781376, 68487432, 69592068, 70051072, 70696704, 72745344, 73755696, 77048361, 78807456, 79078272, 79533792, 79902004, 82479488, 82975158, 84292224, 85651776, 88963056, 90065664, 91316576, 92789424, 94828752, 98340928, 101672064, 102731148, 105076608, 106045056, 109492992, 110633544, 114202368, 118211184, 118617408, 119853006, 123719232, 126438336, 135098496, 136974864, 139184136, 145490688, 147511392, 154096722, 157614912, 158156544, 159067584, 159804008, 164958976, 165950316, 168584448, 171303552, 177926112, 179779509, 182633152, 185578848, 189657504, 196681856, 203344128, 205462296, 210153216, 212090112, 221267088, 236422368, 237234816, 239706012, 247438464, 252876672, 270196992, 273949728, 278368272, 295022784, 308193444, 315229824, 318135168, 319608016, 331900632, 342607104, 355852224, 359559018, 365266304, 371157696, 379315008, 393363712, 410924592, 442534176, 472844736, 474469632, 479412024, 494876928, 505753344, 539338527, 547899456, 556736544, 590045568, 616386888, 630459648, 636270336, 639216032, 663801264, 711704448, 719118036, 730532608, 742315392, 758630016, 821849184, 885068352, 945689472, 958824048, 1078677054, 1095798912, 1113473088, 1180091136, 1232773776, 1278432064, 1327602528, 1423408896, 1438236072, 1484630784, 1517260032, 1643698368, 1770136704, 1891378944, 1917648096, 2157354108, 2191597824, 2226946176, 2465547552, 2556864128, 2655205056, 2876472144, 3287396736, 3540273408, 3835296192, 4314708216, 4453892352, 4931095104, 5113728256, 5310410112, 5752944288, 6574793472, 7670592384, 8629416432, 9862190208, 10620820224, 11505888576, 15341184768, 17258832864, 19724380416, 23011777152, 34517665728, 46023554304, 69035331456, 138070662912]

約数ペア:
[(1, 138070662912), (2, 69035331456), (3, 46023554304), (4, 34517665728), (6, 23011777152), (7, 19724380416), (8, 17258832864), (9, 15341184768), (12, 11505888576), (13, 10620820224), (14, 9862190208), (16, 8629416432), (18, 7670592384), (21, 6574793472), (24, 5752944288), (26, 5310410112), (27, 5113728256), (28, 4931095104), (31, 4453892352), (32, 4314708216), (36, 3835296192), (39, 3540273408), (42, 3287396736), (48, 2876472144), (52, 2655205056), (54, 2556864128), (56, 2465547552), (62, 2226946176), (63, 2191597824), (64, 2157354108), (72, 1917648096), (73, 1891378944), (78, 1770136704), (84, 1643698368), (91, 1517260032), (93, 1484630784), (96, 1438236072), (97, 1423408896), (104, 1327602528), (108, 1278432064), (112, 1232773776), (117, 1180091136), (124, 1113473088), (126, 1095798912), (128, 1078677054), (144, 958824048), (146, 945689472), (156, 885068352), (168, 821849184), (182, 758630016), (186, 742315392), (189, 730532608), (192, 719118036), (194, 711704448), (208, 663801264), (216, 639216032), (217, 636270336), (219, 630459648), (224, 616386888), (234, 590045568), (248, 556736544), (252, 547899456), (256, 539338527), (273, 505753344), (279, 494876928), (288, 479412024), (291, 474469632), (292, 472844736), (312, 442534176), (336, 410924592), (351, 393363712), (364, 379315008), (372, 371157696), (378, 365266304), (384, 359559018), (388, 355852224), (403, 342607104), (416, 331900632), (432, 319608016), (434, 318135168), (438, 315229824), (448, 308193444), (468, 295022784), (496, 278368272), (504, 273949728), (511, 270196992), (546, 252876672), (558, 247438464), (576, 239706012), (582, 237234816), (584, 236422368), (624, 221267088), (651, 212090112), (657, 210153216), (672, 205462296), (679, 203344128), (702, 196681856), (728, 189657504), (744, 185578848), (756, 182633152), (768, 179779509), (776, 177926112), (806, 171303552), (819, 168584448), (832, 165950316), (837, 164958976), (864, 159804008), (868, 159067584), (873, 158156544), (876, 157614912), (896, 154096722), (936, 147511392), (949, 145490688), (992, 139184136), (1008, 136974864), (1022, 135098496), (1092, 126438336), (1116, 123719232), (1152, 119853006), (1164, 118617408), (1168, 118211184), (1209, 114202368), (1248, 110633544), (1261, 109492992), (1302, 106045056), (1314, 105076608), (1344, 102731148), (1358, 101672064), (1404, 98340928), (1456, 94828752), (1488, 92789424), (1512, 91316576), (1533, 90065664), (1552, 88963056), (1612, 85651776), (1638, 84292224), (1664, 82975158), (1674, 82479488), (1728, 79902004), (1736, 79533792), (1746, 79078272), (1752, 78807456), (1792, 77048361), (1872, 73755696), (1898, 72745344), (1953, 70696704), (1971, 70051072), (1984, 69592068), (2016, 68487432), (2037, 67781376), (2044, 67549248), (2184, 63219168), (2232, 61859616), (2263, 61012224), (2304, 59926503), (2328, 59308704), (2336, 59105592), (2418, 57101184), (2457, 56194816), (2496, 55316772), (2522, 54746496), (2604, 53022528), (2619, 52718848), (2628, 52538304), (2688, 51365574), (2716, 50836032), (2808, 49170464), (2821, 48943872), (2847, 48496896), (2912, 47414376), (2976, 46394712), (3007, 45916416), (3024, 45658288), (3066, 45032832), (3104, 44481528), (3224, 42825888), (3276, 42146112), (3328, 41487579), (3348, 41239744), (3456, 39951002), (3472, 39766896), (3492, 39539136), (3504, 39403728), (3627, 38067456), (3744, 36877848), (3783, 36497664), (3796, 36372672), (3906, 35348352), (3942, 35025536), (3968, 34796034), (4032, 34243716), (4074, 33890688), (4088, 33774624), (4368, 31609584), (4464, 30929808), (4526, 30506112), (4599, 30021888), (4656, 29654352), (4672, 29552796), (4836, 28550592), (4914, 28097408), (4992, 27658386), (5044, 27373248), (5208, 26511264), (5238, 26359424), (5256, 26269152), (5376, 25682787), (5432, 25418016), (5616, 24585232), (5642, 24471936), (5694, 24248448), (5824, 23707188), (5859, 23565568), (5952, 23197356), (6014, 22958208), (6048, 22829144), (6111, 22593792), (6132, 22516416), (6208, 22240764), (6448, 21412944), (6552, 21073056), (6643, 20784384), (6696, 20619872), (6789, 20337408), (6912, 19975501), (6944, 19883448), (6984, 19769568), (7008, 19701864), (7081, 19498752), (7254, 19033728), (7488, 18438924), (7566, 18248832), (7592, 18186336), (7812, 17674176), (7884, 17512768), (7936, 17398017), (8064, 17121858), (8148, 16945344), (8176, 16887312), (8463, 16314624), (8541, 16165632), (8736, 15804792), (8827, 15641856), (8928, 15464904), (9021, 15305472), (9052, 15253056), (9198, 15010944), (9312, 14827176), (9344, 14776398), (9672, 14275296), (9828, 14048704), (9984, 13829193), (10088, 13686624), (10416, 13255632), (10476, 13179712), (10512, 13134576), (10864, 12709008), (10881, 12689152), (11232, 12292616), (11284, 12235968), (11349, 12165888), (11388, 12124224), (11648, 11853594), (11718, 11782784), (11904, 11598678), (12028, 11479104), (12096, 11414572), (12222, 11296896), (12264, 11258208), (12416, 11120382), (12896, 10706472), (13104, 10536528), (13286, 10392192), (13392, 10309936), (13578, 10168704), (13797, 10007296), (13888, 9941724), (13968, 9884784), (14016, 9850932), (14162, 9749376), (14508, 9516864), (14976, 9219462), (15132, 9124416), (15184, 9093168), (15624, 8837088), (15768, 8756384), (15841, 8716032), (16128, 8560929), (16296, 8472672), (16352, 8443656), (16926, 8157312), (17082, 8082816), (17472, 7902396), (17654, 7820928), (17856, 7732452), (18042, 7652736), (18104, 7626528), (18333, 7531264), (18396, 7505472), (18624, 7413588), (18688, 7388199), (19344, 7137648), (19656, 7024352), (19929, 6928128), (20176, 6843312), (20367, 6779136), (20832, 6627816), (20952, 6589856), (21024, 6567288), (21049, 6559488), (21243, 6499584), (21728, 6354504), (21762, 6344576), (22464, 6146308), (22568, 6117984), (22698, 6082944), (22776, 6062112), (23296, 5926797), (23436, 5891392), (23808, 5799339), (24056, 5739552), (24192, 5707286), (24444, 5648448), (24528, 5629104), (24832, 5560191), (25389, 5438208), (25623, 5388544), (25792, 5353236), (26208, 5268264), (26481, 5213952), (26572, 5196096), (26784, 5154968), (27063, 5101824), (27156, 5084352), (27594, 5003648), (27776, 4970862), (27936, 4942392), (28032, 4925466), (28324, 4874688), (29016, 4758432), (29419, 4693248), (29952, 4609731), (30264, 4562208), (30368, 4546584), (31248, 4418544), (31536, 4378192), (31682, 4358016), (32592, 4236336), (32704, 4221828), (33852, 4078656), (34047, 4055296), (34164, 4041408), (34944, 3951198), (35308, 3910464), (35712, 3866226), (36084, 3826368), (36208, 3813264), (36666, 3765632), (36792, 3752736), (37248, 3706794), (38688, 3568824), (39091, 3532032), (39312, 3512176), (39858, 3464064), (40352, 3421656), (40734, 3389568), (41664, 3313908), (41904, 3294928), (42048, 3283644), (42098, 3279744), (42486, 3249792), (43456, 3177252), (43524, 3172288), (44928, 3073154), (45136, 3058992), (45396, 3041472), (45552, 3031056), (46872, 2945696), (47523, 2905344), (48112, 2869776), (48384, 2853643), (48888, 2824224), (49056, 2814552), (49567, 2785536), (50778, 2719104), (51246, 2694272), (51584, 2676618), (52416, 2634132), (52962, 2606976), (53144, 2598048), (53568, 2577484), (54126, 2550912), (54312, 2542176), (55188, 2501824), (55552, 2485431), (55872, 2471196), (56064, 2462733), (56648, 2437344), (58032, 2379216), (58838, 2346624), (59787, 2309376), (60528, 2281104), (60736, 2273292), (61101, 2259712), (62496, 2209272), (63072, 2189096), (63147, 2186496), (63364, 2179008), (63729, 2166528), (65184, 2118168), (65408, 2110914), (67704, 2039328), (68094, 2027648), (68328, 2020704), (69888, 1975599), (70616, 1955232), (71424, 1933113), (72168, 1913184), (72416, 1906632), (73332, 1882816), (73584, 1876368), (74496, 1853397), (76167, 1812736), (77376, 1784412), (78182, 1766016), (78624, 1756088), (79443, 1737984), (79716, 1732032), (80704, 1710828), (81189, 1700608), (81468, 1694784), (83328, 1656954), (83808, 1647464), (84096, 1641822), (84196, 1639872), (84972, 1624896), (86912, 1588626), (87048, 1586144), (88257, 1564416), (89856, 1536577), (90272, 1529496), (90792, 1520736), (91104, 1515528), (92053, 1499904), (93744, 1472848), (95046, 1452672), (96224, 1434888), (97776, 1412112), (98112, 1407276), (99134, 1392768), (101556, 1359552), (102492, 1347136), (103168, 1338309), (104832, 1317066), (105924, 1303488), (106288, 1299024), (107136, 1288742), (108252, 1275456), (108624, 1271088), (110376, 1250912), (111744, 1235598), (113296, 1218672), (116064, 1189608), (117273, 1177344), (117676, 1173312), (119574, 1154688), (121056, 1140552), (121472, 1136646), (122202, 1129856), (124992, 1104636), (126144, 1094548), (126294, 1093248), (126728, 1089504), (127458, 1083264), (130368, 1059084), (130816, 1055457), (135408, 1019664), (136188, 1013824), (136656, 1010352), (141232, 977616), (142569, 968448), (144336, 956592), (144832, 953316), (146664, 941408), (147168, 938184), (148701, 928512), (152334, 906368), (154752, 892206), (156364, 883008), (157248, 878044), (158886, 868992), (159432, 866016), (161408, 855414), (162378, 850304), (162936, 847392), (166656, 828477), (167616, 823732), (168192, 820911), (168392, 819936), (169944, 812448), (173824, 794313), (174096, 793072), (176514, 782208), (179361, 769792), (180544, 764748), (181584, 760368), (182208, 757764), (184106, 749952), (187488, 736424), (189441, 728832), (190092, 726336), (191187, 722176), (192448, 717444), (195552, 706056), (196224, 703638), (198268, 696384), (203112, 679776), (204984, 673568), (205933, 670464), (209664, 658533), (211848, 651744), (212576, 649512), (214272, 644371), (216504, 637728), (217248, 635544), (219511, 628992), (220752, 625456), (223488, 617799), (226592, 609336), (232128, 594804), (234546, 588672), (235352, 586656), (238329, 579328), (239148, 577344), (242112, 570276), (242944, 568323), (244404, 564928), (249984, 552318), (252288, 547274), (252588, 546624), (253456, 544752), (254916, 541632), (260736, 529542), (264771, 521472), (270816, 509832), (272376, 506912), (273312, 505176), (273637, 504576), (276159, 499968), (282464, 488808), (285138, 484224), (288672, 478296), (289664, 476658), (293328, 470704), (294336, 469092), (297402, 464256), (304668, 453184), (309504, 446103), (312728, 441504), (314496, 439022), (317772, 434496), (318864, 433008), (322816, 427707), (324756, 425152), (325872, 423696), (335232, 411866), (336784, 409968), (339888, 406224), (348192, 396536), (351819, 392448), (353028, 391104), (358722, 384896), (361088, 382374), (363168, 380184), (364416, 378882), (368212, 374976)]

このpageの処理時間: 1.8694789409637451 seconds