29882160000

素因数分解:

$2^7\times 3^2\times 5^4\times 7^3\times {\mathrm{11}}^2$

素因数の和:83

約数の個数: 1440

約数和(自身を含む): 137735598000

約数和(自身を除く): 107853438000

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 28, 30, 32, 33, 35, 36, 40, 42, 44, 45, 48, 49, 50, 55, 56, 60, 63, 64, 66, 70, 72, 75, 77, 80, 84, 88, 90, 96, 98, 99, 100, 105, 110, 112, 120, 121, 125, 126, 128, 132, 140, 144, 147, 150, 154, 160, 165, 168, 175, 176, 180, 192, 196, 198, 200, 210, 220, 224, 225, 231, 240, 242, 245, 250, 252, 264, 275, 280, 288, 294, 300, 308, 315, 320, 330, 336, 343, 350, 352, 360, 363, 375, 384, 385, 392, 396, 400, 420, 440, 441, 448, 450, 462, 480, 484, 490, 495, 500, 504, 525, 528, 539, 550, 560, 576, 588, 600, 605, 616, 625, 630, 640, 660, 672, 686, 693, 700, 704, 720, 726, 735, 750, 770, 784, 792, 800, 825, 840, 847, 875, 880, 882, 896, 900, 924, 960, 968, 980, 990, 1000, 1008, 1029, 1050, 1056, 1078, 1089, 1100, 1120, 1125, 1152, 1155, 1176, 1200, 1210, 1225, 1232, 1250, 1260, 1320, 1344, 1372, 1375, 1386, 1400, 1408, 1440, 1452, 1470, 1500, 1540, 1568, 1575, 1584, 1600, 1617, 1650, 1680, 1694, 1715, 1750, 1760, 1764, 1800, 1815, 1848, 1875, 1920, 1925, 1936, 1960, 1980, 2000, 2016, 2058, 2100, 2112, 2156, 2178, 2200, 2205, 2240, 2250, 2310, 2352, 2400, 2420, 2450, 2464, 2475, 2500, 2520, 2541, 2625, 2640, 2688, 2695, 2744, 2750, 2772, 2800, 2880, 2904, 2940, 3000, 3025, 3080, 3087, 3136, 3150, 3168, 3200, 3234, 3300, 3360, 3388, 3430, 3465, 3500, 3520, 3528, 3600, 3630, 3675, 3696, 3750, 3773, 3850, 3872, 3920, 3960, 4000, 4032, 4116, 4125, 4200, 4224, 4235, 4312, 4356, 4375, 4400, 4410, 4480, 4500, 4620, 4704, 4800, 4840, 4851, 4900, 4928, 4950, 5000, 5040, 5082, 5145, 5250, 5280, 5390, 5445, 5488, 5500, 5544, 5600, 5625, 5760, 5775, 5808, 5880, 5929, 6000, 6050, 6125, 6160, 6174, 6272, 6300, 6336, 6468, 6600, 6720, 6776, 6860, 6875, 6930, 7000, 7040, 7056, 7200, 7260, 7350, 7392, 7500, 7546, 7623, 7700, 7744, 7840, 7875, 7920, 8000, 8064, 8085, 8232, 8250, 8400, 8470, 8575, 8624, 8712, 8750, 8800, 8820, 9000, 9075, 9240, 9408, 9600, 9625, 9680, 9702, 9800, 9856, 9900, 10000, 10080, 10164, 10290, 10500, 10560, 10780, 10890, 10976, 11000, 11025, 11088, 11200, 11250, 11319, 11550, 11616, 11760, 11858, 12000, 12100, 12250, 12320, 12348, 12375, 12600, 12672, 12705, 12936, 13125, 13200, 13440, 13475, 13552, 13720, 13750, 13860, 14000, 14112, 14400, 14520, 14700, 14784, 15000, 15092, 15125, 15246, 15400, 15435, 15488, 15680, 15750, 15840, 16000, 16170, 16464, 16500, 16800, 16940, 17150, 17248, 17325, 17424, 17500, 17600, 17640, 17787, 18000, 18150, 18375, 18480, 18816, 18865, 19250, 19360, 19404, 19600, 19800, 20000, 20160, 20328, 20580, 20625, 21000, 21120, 21175, 21560, 21780, 21952, 22000, 22050, 22176, 22400, 22500, 22638, 23100, 23232, 23520, 23716, 24000, 24200, 24255, 24500, 24640, 24696, 24750, 25200, 25410, 25725, 25872, 26250, 26400, 26950, 27104, 27225, 27440, 27500, 27720, 28000, 28224, 28800, 28875, 29040, 29400, 29568, 29645, 30000, 30184, 30250, 30492, 30625, 30800, 30870, 31360, 31500, 31680, 32340, 32928, 33000, 33600, 33880, 33957, 34300, 34496, 34650, 34848, 35000, 35200, 35280, 35574, 36000, 36300, 36750, 36960, 37730, 38115, 38500, 38720, 38808, 39200, 39375, 39600, 40000, 40320, 40425, 40656, 41160, 41250, 41503, 42000, 42350, 42875, 43120, 43560, 43904, 44000, 44100, 44352, 45000, 45276, 45375, 46200, 46464, 47040, 47432, 48000, 48125, 48400, 48510, 49000, 49280, 49392, 49500, 50400, 50820, 51450, 51744, 52500, 52800, 53361, 53900, 54208, 54450, 54880, 55000, 55125, 55440, 56000, 56448, 56595, 57750, 58080, 58800, 59290, 60000, 60368, 60500, 60984, 61250, 61600, 61740, 61875, 63000, 63360, 63525, 64680, 65856, 66000, 67200, 67375, 67760, 67914, 68600, 68992, 69300, 69696, 70000, 70560, 71148, 72000, 72600, 73500, 73920, 75460, 75625, 76230, 77000, 77175, 77440, 77616, 78400, 78750, 79200, 80000, 80850, 81312, 82320, 82500, 83006, 84000, 84700, 85750, 86240, 86625, 87120, 88000, 88200, 88704, 88935, 90000, 90552, 90750, 91875, 92400, 94080, 94325, 94864, 96250, 96800, 97020, 98000, 98784, 99000, 100800, 101640, 102900, 103488, 105000, 105600, 105875, 106722, 107800, 108416, 108900, 109760, 110000, 110250, 110880, 112000, 113190, 115500, 116160, 117600, 118580, 120000, 120736, 121000, 121275, 121968, 122500, 123200, 123480, 123750, 124509, 126000, 127050, 128625, 129360, 131712, 132000, 134750, 135520, 135828, 136125, 137200, 138600, 139392, 140000, 141120, 142296, 144000, 144375, 145200, 147000, 147840, 148225, 150920, 151250, 152460, 154000, 154350, 155232, 156800, 157500, 158400, 161700, 162624, 164640, 165000, 166012, 168000, 169400, 169785, 171500, 172480, 173250, 174240, 176000, 176400, 177870, 180000, 181104, 181500, 183750, 184800, 188650, 189728, 190575, 192500, 193600, 194040, 196000, 197568, 198000, 201600, 202125, 203280, 205800, 206976, 207515, 210000, 211750, 213444, 214375, 215600, 217800, 219520, 220000, 220500, 221760, 226380, 226875, 231000, 232320, 235200, 237160, 240000, 241472, 242000, 242550, 243936, 245000, 246400, 246960, 247500, 249018, 252000, 254100, 257250, 258720, 264000, 266805, 269500, 271040, 271656, 272250, 274400, 275625, 277200, 280000, 282240, 282975, 284592, 288750, 290400, 294000, 296450, 301840, 302500, 304920, 308000, 308700, 310464, 315000, 316800, 317625, 323400, 325248, 329280, 330000, 332024, 336000, 336875, 338800, 339570, 343000, 344960, 346500, 348480, 352800, 355740, 360000, 362208, 363000, 367500, 369600, 373527, 377300, 379456, 381150, 385000, 385875, 387200, 388080, 392000, 395136, 396000, 404250, 406560, 411600, 415030, 420000, 423500, 426888, 428750, 431200, 433125, 435600, 440000, 441000, 443520, 444675, 452760, 453750, 462000, 470400, 471625, 474320, 482944, 484000, 485100, 487872, 490000, 493920, 495000, 498036, 504000, 508200, 514500, 517440, 528000, 529375, 533610, 539000, 542080, 543312, 544500, 548800, 551250, 554400, 560000, 565950, 569184, 577500, 580800, 588000, 592900, 603680, 605000, 606375, 609840, 616000, 617400, 620928, 622545, 630000, 635250, 643125, 646800, 658560, 660000, 664048, 673750, 677600, 679140, 680625, 686000, 693000, 696960, 705600, 711480, 720000, 724416, 726000, 735000, 739200, 741125, 747054, 754600, 758912, 762300, 770000, 771750, 776160, 784000, 792000, 808500, 813120, 823200, 830060, 840000, 847000, 848925, 853776, 857500, 862400, 866250, 871200, 880000, 882000, 889350, 905520, 907500, 924000, 943250, 948640, 952875, 968000, 970200, 975744, 980000, 987840, 990000, 996072, 1008000, 1010625, 1016400, 1029000, 1034880, 1037575, 1058750, 1067220, 1078000, 1086624, 1089000, 1097600, 1102500, 1108800, 1131900, 1138368, 1155000, 1161600, 1176000, 1185800, 1207360, 1210000, 1212750, 1219680, 1232000, 1234800, 1245090, 1260000, 1270500, 1286250, 1293600, 1320000, 1328096, 1334025, 1347500, 1355200, 1358280, 1361250, 1372000, 1386000, 1411200, 1414875, 1422960, 1448832, 1452000, 1470000, 1482250, 1494108, 1509200, 1524600, 1540000, 1543500, 1552320, 1584000, 1588125, 1617000, 1626240, 1646400, 1660120, 1680000, 1694000, 1697850, 1707552, 1715000, 1724800, 1732500, 1742400, 1764000, 1778700, 1811040, 1815000, 1848000, 1867635, 1886500, 1897280, 1905750, 1929375, 1936000, 1940400, 1960000, 1975680, 1980000, 1992144, 2021250, 2032800, 2058000, 2075150, 2117500, 2134440, 2156000, 2173248, 2178000, 2205000, 2217600, 2223375, 2263800, 2276736, 2310000, 2352000, 2358125, 2371600, 2414720, 2420000, 2425500, 2439360, 2469600, 2490180, 2520000, 2541000, 2572500, 2587200, 2640000, 2656192, 2668050, 2695000, 2710400, 2716560, 2722500, 2744000, 2772000, 2829750, 2845920, 2904000, 2940000, 2964500, 2988216, 3018400, 3031875, 3049200, 3080000, 3087000, 3104640, 3112725, 3176250, 3234000, 3292800, 3320240, 3388000, 3395700, 3415104, 3430000, 3465000, 3484800, 3528000, 3557400, 3622080, 3630000, 3696000, 3705625, 3735270, 3773000, 3794560, 3811500, 3858750, 3880800, 3920000, 3960000, 3984288, 4042500, 4065600, 4116000, 4150300, 4235000, 4244625, 4268880, 4312000, 4346496, 4356000, 4410000, 4446750, 4527600, 4620000, 4716250, 4743200, 4764375, 4840000, 4851000, 4878720, 4939200, 4980360, 5040000, 5082000, 5145000, 5174400, 5187875, 5312384, 5336100, 5390000, 5433120, 5445000, 5488000, 5544000, 5659500, 5691840, 5808000, 5880000, 5929000, 5976432, 6036800, 6063750, 6098400, 6160000, 6174000, 6225450, 6352500, 6468000, 6640480, 6670125, 6776000, 6791400, 6830208, 6860000, 6930000, 7056000, 7074375, 7114800, 7244160, 7260000, 7411250, 7470540, 7546000, 7623000, 7717500, 7761600, 7920000, 7968576, 8085000, 8131200, 8232000, 8300600, 8470000, 8489250, 8537760, 8624000, 8712000, 8820000, 8893500, 9055200, 9240000, 9338175, 9432500, 9486400, 9528750, 9680000, 9702000, 9878400, 9960720, 10164000, 10290000, 10375750, 10672200, 10780000, 10866240, 10890000, 11088000, 11116875, 11319000, 11383680, 11760000, 11858000, 11952864, 12073600, 12127500, 12196800, 12348000, 12450900, 12705000, 12936000, 13280960, 13340250, 13552000, 13582800, 13720000, 13860000, 14148750, 14229600, 14520000, 14822500, 14941080, 15092000, 15246000, 15435000, 15523200, 15563625, 15937152, 16170000, 16464000, 16601200, 16940000, 16978500, 17075520, 17424000, 17640000, 17787000, 18110400, 18480000, 18676350, 18865000, 18972800, 19057500, 19404000, 19921440, 20328000, 20580000, 20751500, 21223125, 21344400, 21560000, 21732480, 21780000, 22233750, 22638000, 23716000, 23905728, 24255000, 24393600, 24696000, 24901800, 25410000, 25872000, 25939375, 26561920, 26680500, 27165600, 27440000, 27720000, 28297500, 28459200, 29040000, 29645000, 29882160, 30184000, 30492000, 30870000, 31127250, 32340000, 33202400, 33350625, 33880000, 33957000, 34151040, 35280000, 35574000, 36220800, 37352700, 37730000, 38115000, 38808000, 39842880, 40656000, 41160000, 41503000, 42446250, 42688800, 43120000, 43560000, 44467500, 45276000, 46690875, 47432000, 47811456, 48510000, 49392000, 49803600, 50820000, 51878750, 53361000, 54331200, 55440000, 56595000, 56918400, 59290000, 59764320, 60368000, 60984000, 61740000, 62254500, 64680000, 66404800, 66701250, 67760000, 67914000, 71148000, 74705400, 75460000, 76230000, 77616000, 77818125, 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2490180000, 2716560000, 2988216000, 3320240000, 3735270000, 4268880000, 4980360000, 5976432000, 7470540000, 9960720000, 14941080000, 29882160000]

約数ペア:

[(1, 29882160000), (2, 14941080000), (3, 9960720000), (4, 7470540000), (5, 5976432000), (6, 4980360000), (7, 4268880000), (8, 3735270000), (9, 3320240000), (10, 2988216000), (11, 2716560000), (12, 2490180000), (14, 2134440000), (15, 1992144000), (16, 1867635000), (18, 1660120000), (20, 1494108000), (21, 1422960000), (22, 1358280000), (24, 1245090000), (25, 1195286400), (28, 1067220000), (30, 996072000), (32, 933817500), (33, 905520000), (35, 853776000), (36, 830060000), (40, 747054000), (42, 711480000), (44, 679140000), (45, 664048000), (48, 622545000), (49, 609840000), (50, 597643200), (55, 543312000), (56, 533610000), (60, 498036000), (63, 474320000), (64, 466908750), (66, 452760000), (70, 426888000), (72, 415030000), (75, 398428800), (77, 388080000), (80, 373527000), (84, 355740000), (88, 339570000), (90, 332024000), (96, 311272500), (98, 304920000), (99, 301840000), (100, 298821600), (105, 284592000), (110, 271656000), (112, 266805000), (120, 249018000), (121, 246960000), (125, 239057280), (126, 237160000), (128, 233454375), (132, 226380000), (140, 213444000), (144, 207515000), (147, 203280000), (150, 199214400), (154, 194040000), (160, 186763500), (165, 181104000), (168, 177870000), (175, 170755200), (176, 169785000), (180, 166012000), (192, 155636250), (196, 152460000), (198, 150920000), (200, 149410800), (210, 142296000), (220, 135828000), (224, 133402500), (225, 132809600), (231, 129360000), (240, 124509000), (242, 123480000), (245, 121968000), (250, 119528640), (252, 118580000), (264, 113190000), (275, 108662400), (280, 106722000), (288, 103757500), (294, 101640000), (300, 99607200), (308, 97020000), (315, 94864000), (320, 93381750), (330, 90552000), (336, 88935000), (343, 87120000), (350, 85377600), (352, 84892500), (360, 83006000), (363, 82320000), (375, 79685760), (384, 77818125), (385, 77616000), (392, 76230000), (396, 75460000), (400, 74705400), (420, 71148000), (440, 67914000), (441, 67760000), (448, 66701250), (450, 66404800), (462, 64680000), (480, 62254500), (484, 61740000), (490, 60984000), (495, 60368000), (500, 59764320), (504, 59290000), (525, 56918400), (528, 56595000), (539, 55440000), (550, 54331200), (560, 53361000), (576, 51878750), (588, 50820000), (600, 49803600), (605, 49392000), (616, 48510000), (625, 47811456), (630, 47432000), (640, 46690875), (660, 45276000), (672, 44467500), (686, 43560000), (693, 43120000), (700, 42688800), (704, 42446250), (720, 41503000), (726, 41160000), (735, 40656000), (750, 39842880), (770, 38808000), (784, 38115000), (792, 37730000), (800, 37352700), (825, 36220800), (840, 35574000), (847, 35280000), (875, 34151040), (880, 33957000), (882, 33880000), (896, 33350625), (900, 33202400), (924, 32340000), (960, 31127250), (968, 30870000), (980, 30492000), (990, 30184000), (1000, 29882160), (1008, 29645000), (1029, 29040000), (1050, 28459200), (1056, 28297500), (1078, 27720000), (1089, 27440000), (1100, 27165600), (1120, 26680500), (1125, 26561920), (1152, 25939375), (1155, 25872000), (1176, 25410000), (1200, 24901800), (1210, 24696000), (1225, 24393600), (1232, 24255000), (1250, 23905728), (1260, 23716000), (1320, 22638000), (1344, 22233750), (1372, 21780000), (1375, 21732480), (1386, 21560000), (1400, 21344400), (1408, 21223125), (1440, 20751500), (1452, 20580000), (1470, 20328000), (1500, 19921440), (1540, 19404000), (1568, 19057500), (1575, 18972800), (1584, 18865000), (1600, 18676350), (1617, 18480000), (1650, 18110400), (1680, 17787000), (1694, 17640000), (1715, 17424000), (1750, 17075520), (1760, 16978500), (1764, 16940000), (1800, 16601200), (1815, 16464000), (1848, 16170000), (1875, 15937152), (1920, 15563625), (1925, 15523200), (1936, 15435000), (1960, 15246000), (1980, 15092000), (2000, 14941080), (2016, 14822500), (2058, 14520000), (2100, 14229600), (2112, 14148750), (2156, 13860000), (2178, 13720000), (2200, 13582800), (2205, 13552000), (2240, 13340250), (2250, 13280960), (2310, 12936000), (2352, 12705000), (2400, 12450900), (2420, 12348000), (2450, 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