42542304000

素因数分解:

$2^8\times 3^1\times 5^3\times 7^1\times {\mathrm{29}}^1\times {\mathrm{37}}^1\times {\mathrm{59}}^1$

素因数の和:166

約数の個数: 1152

約数和(自身を含む): 174482380800

約数和(自身を除く): 131940076800

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 29, 30, 32, 35, 37, 40, 42, 48, 50, 56, 58, 59, 60, 64, 70, 74, 75, 80, 84, 87, 96, 100, 105, 111, 112, 116, 118, 120, 125, 128, 140, 145, 148, 150, 160, 168, 174, 175, 177, 185, 192, 200, 203, 210, 222, 224, 232, 236, 240, 250, 256, 259, 280, 290, 295, 296, 300, 320, 336, 348, 350, 354, 370, 375, 384, 400, 406, 413, 420, 435, 444, 448, 464, 472, 480, 500, 518, 525, 555, 560, 580, 590, 592, 600, 609, 640, 672, 696, 700, 708, 725, 740, 750, 768, 777, 800, 812, 826, 840, 870, 875, 885, 888, 896, 925, 928, 944, 960, 1000, 1015, 1036, 1050, 1073, 1110, 1120, 1160, 1180, 1184, 1200, 1218, 1239, 1280, 1295, 1344, 1392, 1400, 1416, 1450, 1475, 1480, 1500, 1554, 1600, 1624, 1652, 1680, 1711, 1740, 1750, 1770, 1776, 1792, 1850, 1856, 1888, 1920, 2000, 2030, 2065, 2072, 2100, 2146, 2175, 2183, 2220, 2240, 2320, 2360, 2368, 2400, 2436, 2478, 2590, 2625, 2688, 2775, 2784, 2800, 2832, 2900, 2950, 2960, 3000, 3045, 3108, 3200, 3219, 3248, 3304, 3360, 3422, 3480, 3500, 3540, 3552, 3625, 3700, 3712, 3776, 3840, 3885, 4000, 4060, 4130, 4144, 4200, 4292, 4350, 4366, 4425, 4440, 4480, 4625, 4640, 4720, 4736, 4800, 4872, 4956, 5075, 5133, 5180, 5250, 5365, 5376, 5550, 5568, 5600, 5664, 5800, 5900, 5920, 6000, 6090, 6195, 6216, 6400, 6438, 6475, 6496, 6549, 6608, 6720, 6844, 6960, 7000, 7080, 7104, 7250, 7375, 7400, 7424, 7511, 7552, 7770, 8000, 8120, 8260, 8288, 8400, 8555, 8584, 8700, 8732, 8850, 8880, 8960, 9250, 9280, 9440, 9472, 9600, 9744, 9912, 10150, 10266, 10325, 10360, 10500, 10730, 10875, 10915, 11100, 11136, 11200, 11328, 11600, 11800, 11840, 11977, 12000, 12180, 12390, 12432, 12876, 12950, 12992, 13098, 13216, 13440, 13688, 13875, 13920, 14000, 14160, 14208, 14500, 14750, 14800, 15022, 15104, 15225, 15281, 15540, 16000, 16095, 16240, 16520, 16576, 16800, 17110, 17168, 17400, 17464, 17700, 17760, 18500, 18560, 18880, 19200, 19425, 19488, 19824, 20300, 20532, 20650, 20720, 21000, 21460, 21750, 21830, 22125, 22200, 22272, 22400, 22533, 22656, 23200, 23600, 23680, 23954, 24000, 24360, 24780, 24864, 25375, 25665, 25752, 25900, 25984, 26196, 26432, 26825, 26880, 27376, 27750, 27840, 28000, 28320, 28416, 29000, 29500, 29600, 30044, 30450, 30562, 30975, 31080, 32000, 32190, 32375, 32480, 32745, 33040, 33152, 33600, 34220, 34336, 34800, 34928, 35400, 35520, 35931, 37000, 37120, 37555, 37760, 38850, 38976, 39648, 40600, 41064, 41300, 41440, 42000, 42775, 42920, 43500, 43660, 44250, 44400, 44800, 45066, 45312, 45843, 46400, 47200, 47360, 47908, 48000, 48720, 49560, 49728, 50750, 51330, 51504, 51625, 51800, 51968, 52392, 52864, 53650, 54575, 54752, 55500, 55680, 56000, 56640, 58000, 59000, 59200, 59885, 60088, 60900, 61124, 61950, 62160, 63307, 64380, 64750, 64960, 65490, 66080, 66304, 67200, 68440, 68672, 69600, 69856, 70800, 71040, 71862, 74000, 75110, 75520, 76125, 76405, 77700, 77952, 79296, 80475, 81200, 82128, 82600, 82880, 84000, 85550, 85840, 87000, 87320, 88500, 88800, 90132, 91686, 92800, 94400, 95816, 96000, 97125, 97440, 99120, 99456, 101500, 102660, 103008, 103250, 103600, 104784, 105728, 107300, 109150, 109504, 111000, 111360, 112000, 112665, 113280, 116000, 118000, 118400, 119770, 120176, 121800, 122248, 123900, 124320, 126614, 128325, 128760, 129500, 129920, 130980, 132160, 134125, 134400, 136880, 137344, 139200, 139712, 141600, 142080, 143724, 148000, 150220, 152250, 152810, 154875, 155400, 155904, 158592, 160950, 162400, 163725, 164256, 165200, 165760, 168000, 171100, 171680, 174000, 174640, 177000, 177600, 179655, 180264, 183372, 185600, 187775, 188800, 189921, 191632, 194250, 194880, 198240, 198912, 203000, 205320, 206016, 206500, 207200, 209568, 213875, 214600, 218300, 219008, 222000, 224000, 225330, 226560, 229215, 232000, 236000, 236800, 239540, 240352, 243600, 244496, 247800, 248640, 253228, 256650, 257520, 259000, 259840, 261960, 264320, 268250, 272875, 273760, 274688, 278400, 279424, 283200, 287448, 296000, 299425, 300440, 304500, 305620, 309750, 310800, 316535, 317184, 321900, 324800, 327450, 328512, 330400, 331520, 336000, 342200, 343360, 348000, 349280, 354000, 355200, 359310, 360528, 366744, 375550, 377600, 379842, 382025, 383264, 388500, 389760, 396480, 402375, 406000, 410640, 412032, 413000, 414400, 419136, 427750, 429200, 436600, 438016, 443149, 444000, 450660, 458430, 464000, 472000, 479080, 480704, 487200, 488992, 495600, 497280, 506456, 513300, 515040, 518000, 523920, 528640, 536500, 545750, 547520, 556800, 558848, 563325, 566400, 574896, 592000, 598850, 600880, 609000, 611240, 619500, 621600, 633070, 641625, 643800, 649600, 654900, 657024, 660800, 672000, 684400, 686720, 696000, 698560, 708000, 710400, 718620, 721056, 733488, 751100, 759684, 764050, 766528, 777000, 779520, 792960, 804750, 812000, 818625, 821280, 824064, 826000, 828800, 838272, 855500, 858400, 873200, 886298, 888000, 898275, 901320, 916860, 928000, 938875, 944000, 949605, 958160, 961408, 974400, 977984, 991200, 994560, 1012912, 1026600, 1030080, 1036000, 1047840, 1073000, 1091500, 1095040, 1126650, 1132800, 1146075, 1149792, 1184000, 1197700, 1201760, 1218000, 1222480, 1239000, 1243200, 1266140, 1283250, 1287600, 1299200, 1309800, 1314048, 1321600, 1329447, 1368800, 1373440, 1392000, 1397120, 1416000, 1437240, 1442112, 1466976, 1497125, 1502200, 1519368, 1528100, 1533056, 1554000, 1582675, 1585920, 1609500, 1624000, 1637250, 1642560, 1652000, 1657600, 1676544, 1711000, 1716800, 1746400, 1772596, 1776000, 1796550, 1802640, 1833720, 1877750, 1888000, 1899210, 1910125, 1916320, 1922816, 1948800, 1955968, 1982400, 2025824, 2053200, 2060160, 2072000, 2095680, 2146000, 2183000, 2190080, 2215745, 2253300, 2292150, 2299584, 2395400, 2403520, 2436000, 2444960, 2478000, 2486400, 2532280, 2566500, 2575200, 2619600, 2643200, 2658894, 2737600, 2784000, 2794240, 2816625, 2832000, 2874480, 2884224, 2933952, 2994250, 3004400, 3038736, 3056200, 3066112, 3108000, 3165350, 3219000, 3248000, 3274500, 3285120, 3304000, 3422000, 3433600, 3492800, 3545192, 3552000, 3593100, 3605280, 3667440, 3755500, 3798420, 3820250, 3832640, 3897600, 3911936, 3964800, 4051648, 4106400, 4120320, 4144000, 4191360, 4292000, 4366000, 4431490, 4491375, 4506600, 4584300, 4599168, 4748025, 4790800, 4807040, 4872000, 4889920, 4956000, 4972800, 5064560, 5133000, 5150400, 5239200, 5317788, 5475200, 5633250, 5664000, 5730375, 5748960, 5768448, 5867904, 5988500, 6008800, 6077472, 6112400, 6216000, 6330700, 6438000, 6496000, 6549000, 6570240, 6608000, 6647235, 6844000, 6867200, 6985600, 7090384, 7186200, 7210560, 7334880, 7511000, 7596840, 7640500, 7665280, 7913375, 7929600, 8103296, 8212800, 8288000, 8382720, 8584000, 8732000, 8862980, 8982750, 9013200, 9168600, 9198336, 9496050, 9581600, 9614080, 9744000, 9779840, 9912000, 10129120, 10266000, 10300800, 10478400, 10635576, 10950400, 11078725, 11266500, 11460750, 11497920, 11735808, 11977000, 12017600, 12154944, 12224800, 12432000, 12661400, 12876000, 13098000, 13216000, 13294470, 13688000, 13971200, 14180768, 14372400, 14421120, 14669760, 15022000, 15193680, 15281000, 15330560, 15826750, 16206592, 16425600, 17168000, 17464000, 17725960, 17965500, 18026400, 18337200, 18992100, 19163200, 19488000, 19559680, 19824000, 20258240, 20532000, 20601600, 20956800, 21271152, 22157450, 22533000, 22921500, 22995840, 23740125, 23954000, 24035200, 24309888, 24449600, 24864000, 25322800, 25752000, 26196000, 26588940, 27376000, 28361536, 28744800, 28842240, 29339520, 30044000, 30387360, 30562000, 31653500, 32851200, 33236175, 34336000, 34928000, 35451920, 35931000, 36052800, 36674400, 37984200, 38326400, 39648000, 40516480, 41064000, 41913600, 42542304, 44314900, 45066000, 45843000, 45991680, 47480250, 47908000, 48070400, 48619776, 48899200, 50645600, 51504000, 52392000, 53177880, 54752000, 55393625, 56723072, 57489600, 58679040, 60088000, 60774720, 61124000, 63307000, 66472350, 69856000, 70903840, 71862000, 72105600, 73348800, 75968400, 76652800, 81032960, 82128000, 85084608, 88629800, 90132000, 91686000, 94960500, 95816000, 97798400, 101291200, 103008000, 104784000, 106355760, 110787250, 113446144, 114979200, 120176000, 121549440, 122248000, 126614000, 132944700, 141807680, 143724000, 144211200, 146697600, 151936800, 164256000, 166180875, 170169216, 177259600, 180264000, 183372000, 189921000, 191632000, 202582400, 209568000, 212711520, 221574500, 229958400, 240352000, 243098880, 244496000, 253228000, 265889400, 283615360, 287448000, 293395200, 303873600, 332361750, 340338432, 354519200, 360528000, 366744000, 379842000, 383264000, 405164800, 425423040, 443149000, 488992000, 506456000, 531778800, 567230720, 574896000, 607747200, 664723500, 709038400, 721056000, 733488000, 759684000, 850846080, 886298000, 1012912000, 1063557600, 1149792000, 1215494400, 1329447000, 1418076800, 1466976000, 1519368000, 1701692160, 1772596000, 2025824000, 2127115200, 2658894000, 2836153600, 3038736000, 3545192000, 4254230400, 5317788000, 6077472000, 7090384000, 8508460800, 10635576000, 14180768000, 21271152000, 42542304000]

約数ペア:

[(1, 42542304000), (2, 21271152000), (3, 14180768000), (4, 10635576000), (5, 8508460800), (6, 7090384000), (7, 6077472000), (8, 5317788000), (10, 4254230400), (12, 3545192000), (14, 3038736000), (15, 2836153600), (16, 2658894000), (20, 2127115200), (21, 2025824000), (24, 1772596000), (25, 1701692160), (28, 1519368000), (29, 1466976000), (30, 1418076800), (32, 1329447000), (35, 1215494400), (37, 1149792000), (40, 1063557600), (42, 1012912000), (48, 886298000), (50, 850846080), (56, 759684000), (58, 733488000), (59, 721056000), (60, 709038400), (64, 664723500), (70, 607747200), (74, 574896000), (75, 567230720), (80, 531778800), (84, 506456000), (87, 488992000), (96, 443149000), (100, 425423040), (105, 405164800), (111, 383264000), (112, 379842000), (116, 366744000), (118, 360528000), (120, 354519200), (125, 340338432), (128, 332361750), (140, 303873600), (145, 293395200), (148, 287448000), (150, 283615360), (160, 265889400), (168, 253228000), (174, 244496000), (175, 243098880), (177, 240352000), (185, 229958400), (192, 221574500), (200, 212711520), (203, 209568000), (210, 202582400), (222, 191632000), (224, 189921000), (232, 183372000), (236, 180264000), (240, 177259600), (250, 170169216), (256, 166180875), (259, 164256000), (280, 151936800), (290, 146697600), (295, 144211200), (296, 143724000), (300, 141807680), (320, 132944700), (336, 126614000), (348, 122248000), (350, 121549440), (354, 120176000), (370, 114979200), (375, 113446144), (384, 110787250), (400, 106355760), (406, 104784000), (413, 103008000), (420, 101291200), (435, 97798400), (444, 95816000), (448, 94960500), (464, 91686000), (472, 90132000), (480, 88629800), (500, 85084608), (518, 82128000), (525, 81032960), (555, 76652800), (560, 75968400), (580, 73348800), (590, 72105600), (592, 71862000), (600, 70903840), (609, 69856000), (640, 66472350), (672, 63307000), (696, 61124000), (700, 60774720), (708, 60088000), (725, 58679040), (740, 57489600), (750, 56723072), (768, 55393625), (777, 54752000), (800, 53177880), (812, 52392000), (826, 51504000), (840, 50645600), (870, 48899200), (875, 48619776), (885, 48070400), (888, 47908000), (896, 47480250), (925, 45991680), (928, 45843000), (944, 45066000), (960, 44314900), (1000, 42542304), (1015, 41913600), (1036, 41064000), (1050, 40516480), (1073, 39648000), (1110, 38326400), (1120, 37984200), (1160, 36674400), (1180, 36052800), (1184, 35931000), (1200, 35451920), (1218, 34928000), (1239, 34336000), (1280, 33236175), (1295, 32851200), (1344, 31653500), (1392, 30562000), (1400, 30387360), (1416, 30044000), (1450, 29339520), (1475, 28842240), (1480, 28744800), (1500, 28361536), (1554, 27376000), (1600, 26588940), (1624, 26196000), (1652, 25752000), (1680, 25322800), (1711, 24864000), (1740, 24449600), (1750, 24309888), (1770, 24035200), (1776, 23954000), (1792, 23740125), (1850, 22995840), (1856, 22921500), (1888, 22533000), (1920, 22157450), (2000, 21271152), (2030, 20956800), (2065, 20601600), (2072, 20532000), (2100, 20258240), (2146, 19824000), (2175, 19559680), (2183, 19488000), (2220, 19163200), (2240, 18992100), (2320, 18337200), (2360, 18026400), (2368, 17965500), (2400, 17725960), (2436, 17464000), (2478, 17168000), (2590, 16425600), (2625, 16206592), (2688, 15826750), (2775, 15330560), (2784, 15281000), (2800, 15193680), (2832, 15022000), (2900, 14669760), (2950, 14421120), (2960, 14372400), (3000, 14180768), (3045, 13971200), (3108, 13688000), (3200, 13294470), (3219, 13216000), (3248, 13098000), (3304, 12876000), (3360, 12661400), (3422, 12432000), (3480, 12224800), (3500, 12154944), (3540, 12017600), (3552, 11977000), (3625, 11735808), (3700, 11497920), (3712, 11460750), (3776, 11266500), (3840, 11078725), (3885, 10950400), (4000, 10635576), (4060, 10478400), (4130, 10300800), (4144, 10266000), (4200, 10129120), (4292, 9912000), (4350, 9779840), (4366, 9744000), (4425, 9614080), (4440, 9581600), (4480, 9496050), (4625, 9198336), (4640, 9168600), (4720, 9013200), (4736, 8982750), (4800, 8862980), (4872, 8732000), (4956, 8584000), (5075, 8382720), (5133, 8288000), (5180, 8212800), (5250, 8103296), (5365, 7929600), (5376, 7913375), (5550, 7665280), (5568, 7640500), (5600, 7596840), (5664, 7511000), (5800, 7334880), (5900, 7210560), (5920, 7186200), (6000, 7090384), (6090, 6985600), (6195, 6867200), (6216, 6844000), (6400, 6647235), (6438, 6608000), (6475, 6570240), (6496, 6549000), (6549, 6496000), (6608, 6438000), (6720, 6330700), (6844, 6216000), (6960, 6112400), (7000, 6077472), (7080, 6008800), (7104, 5988500), (7250, 5867904), (7375, 5768448), (7400, 5748960), (7424, 5730375), (7511, 5664000), (7552, 5633250), (7770, 5475200), (8000, 5317788), (8120, 5239200), (8260, 5150400), (8288, 5133000), (8400, 5064560), (8555, 4972800), (8584, 4956000), (8700, 4889920), (8732, 4872000), (8850, 4807040), (8880, 4790800), (8960, 4748025), (9250, 4599168), (9280, 4584300), (9440, 4506600), (9472, 4491375), (9600, 4431490), (9744, 4366000), (9912, 4292000), (10150, 4191360), (10266, 4144000), (10325, 4120320), (10360, 4106400), (10500, 4051648), (10730, 3964800), (10875, 3911936), (10915, 3897600), (11100, 3832640), (11136, 3820250), (11200, 3798420), (11328, 3755500), (11600, 3667440), (11800, 3605280), (11840, 3593100), (11977, 3552000), (12000, 3545192), (12180, 3492800), (12390, 3433600), (12432, 3422000), (12876, 3304000), (12950, 3285120), (12992, 3274500), (13098, 3248000), (13216, 3219000), (13440, 3165350), (13688, 3108000), (13875, 3066112), (13920, 3056200), (14000, 3038736), (14160, 3004400), (14208, 2994250), (14500, 2933952), (14750, 2884224), (14800, 2874480), (15022, 2832000), (15104, 2816625), (15225, 2794240), (15281, 2784000), (15540, 2737600), (16000, 2658894), (16095, 2643200), (16240, 2619600), (16520, 2575200), (16576, 2566500), (16800, 2532280), (17110, 2486400), (17168, 2478000), (17400, 2444960), (17464, 2436000), (17700, 2403520), (17760, 2395400), (18500, 2299584), (18560, 2292150), (18880, 2253300), (19200, 2215745), (19425, 2190080), (19488, 2183000), (19824, 2146000), (20300, 2095680), (20532, 2072000), (20650, 2060160), (20720, 2053200), (21000, 2025824), (21460, 1982400), (21750, 1955968), (21830, 1948800), (22125, 1922816), (22200, 1916320), (22272, 1910125), (22400, 1899210), (22533, 1888000), (22656, 1877750), (23200, 1833720), (23600, 1802640), (23680, 1796550), (23954, 1776000), (24000, 1772596), (24360, 1746400), (24780, 1716800), (24864, 1711000), (25375, 1676544), (25665, 1657600), (25752, 1652000), (25900, 1642560), (25984, 1637250), (26196, 1624000), (26432, 1609500), (26825, 1585920), (26880, 1582675), (27376, 1554000), (27750, 1533056), (27840, 1528100), (28000, 1519368), (28320, 1502200), (28416, 1497125), (29000, 1466976), (29500, 1442112), (29600, 1437240), (30044, 1416000), (30450, 1397120), (30562, 1392000), (30975, 1373440), (31080, 1368800), (32000, 1329447), (32190, 1321600), (32375, 1314048), (32480, 1309800), (32745, 1299200), (33040, 1287600), (33152, 1283250), (33600, 1266140), (34220, 1243200), (34336, 1239000), (34800, 1222480), (34928, 1218000), (35400, 1201760), (35520, 1197700), (35931, 1184000), (37000, 1149792), (37120, 1146075), (37555, 1132800), (37760, 1126650), (38850, 1095040), (38976, 1091500), (39648, 1073000), (40600, 1047840), (41064, 1036000), (41300, 1030080), (41440, 1026600), (42000, 1012912), (42775, 994560), (42920, 991200), (43500, 977984), (43660, 974400), (44250, 961408), (44400, 958160), (44800, 949605), (45066, 944000), (45312, 938875), (45843, 928000), (46400, 916860), (47200, 901320), (47360, 898275), (47908, 888000), (48000, 886298), (48720, 873200), (49560, 858400), (49728, 855500), (50750, 838272), (51330, 828800), (51504, 826000), (51625, 824064), (51800, 821280), (51968, 818625), (52392, 812000), (52864, 804750), (53650, 792960), (54575, 779520), (54752, 777000), (55500, 766528), (55680, 764050), (56000, 759684), (56640, 751100), (58000, 733488), (59000, 721056), (59200, 718620), (59885, 710400), (60088, 708000), (60900, 698560), (61124, 696000), (61950, 686720), (62160, 684400), (63307, 672000), (64380, 660800), (64750, 657024), (64960, 654900), (65490, 649600), (66080, 643800), (66304, 641625), (67200, 633070), (68440, 621600), (68672, 619500), (69600, 611240), (69856, 609000), (70800, 600880), (71040, 598850), (71862, 592000), (74000, 574896), (75110, 566400), (75520, 563325), (76125, 558848), (76405, 556800), (77700, 547520), (77952, 545750), (79296, 536500), (80475, 528640), (81200, 523920), (82128, 518000), (82600, 515040), (82880, 513300), (84000, 506456), (85550, 497280), (85840, 495600), (87000, 488992), (87320, 487200), (88500, 480704), (88800, 479080), (90132, 472000), (91686, 464000), (92800, 458430), (94400, 450660), (95816, 444000), (96000, 443149), (97125, 438016), (97440, 436600), (99120, 429200), (99456, 427750), (101500, 419136), (102660, 414400), (103008, 413000), (103250, 412032), (103600, 410640), (104784, 406000), (105728, 402375), (107300, 396480), (109150, 389760), (109504, 388500), (111000, 383264), (111360, 382025), (112000, 379842), (112665, 377600), (113280, 375550), (116000, 366744), (118000, 360528), (118400, 359310), (119770, 355200), (120176, 354000), (121800, 349280), (122248, 348000), (123900, 343360), (124320, 342200), (126614, 336000), (128325, 331520), (128760, 330400), (129500, 328512), (129920, 327450), (130980, 324800), (132160, 321900), (134125, 317184), (134400, 316535), (136880, 310800), (137344, 309750), (139200, 305620), (139712, 304500), (141600, 300440), (142080, 299425), (143724, 296000), (148000, 287448), (150220, 283200), (152250, 279424), (152810, 278400), (154875, 274688), (155400, 273760), (155904, 272875), (158592, 268250), (160950, 264320), (162400, 261960), (163725, 259840), (164256, 259000), (165200, 257520), (165760, 256650), (168000, 253228), (171100, 248640), (171680, 247800), (174000, 244496), (174640, 243600), (177000, 240352), (177600, 239540), (179655, 236800), (180264, 236000), (183372, 232000), (185600, 229215), (187775, 226560), (188800, 225330), (189921, 224000), (191632, 222000), (194250, 219008), (194880, 218300), (198240, 214600), (198912, 213875), (203000, 209568), (205320, 207200), (206016, 206500)]