42109670400

素因数分解:

$2^{10}\times 3^1\times 5^2\times 7^1\times {\mathrm{29}}^1\times {\mathrm{37}}^1\times {\mathrm{73}}^1$

素因数の和:179

約数の個数: 1056

約数和(自身を含む): 171303440640

約数和(自身を除く): 129193770240

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, 60, 64, 70, 73, 74, 75, 80, 84, 87, 96, 100, 105, 111, 112, 116, 120, 128, 140, 145, 146, 148, 150, 160, 168, 174, 175, 185, 192, 200, 203, 210, 219, 222, 224, 232, 240, 256, 259, 280, 290, 292, 296, 300, 320, 336, 348, 350, 365, 370, 384, 400, 406, 420, 435, 438, 444, 448, 464, 480, 511, 512, 518, 525, 555, 560, 580, 584, 592, 600, 609, 640, 672, 696, 700, 725, 730, 740, 768, 777, 800, 812, 840, 870, 876, 888, 896, 925, 928, 960, 1015, 1022, 1024, 1036, 1050, 1073, 1095, 1110, 1120, 1160, 1168, 1184, 1200, 1218, 1280, 1295, 1344, 1392, 1400, 1450, 1460, 1480, 1533, 1536, 1554, 1600, 1624, 1680, 1740, 1752, 1776, 1792, 1825, 1850, 1856, 1920, 2030, 2044, 2072, 2100, 2117, 2146, 2175, 2190, 2220, 2240, 2320, 2336, 2368, 2400, 2436, 2555, 2560, 2590, 2688, 2701, 2775, 2784, 2800, 2900, 2920, 2960, 3045, 3066, 3072, 3108, 3200, 3219, 3248, 3360, 3480, 3504, 3552, 3584, 3650, 3700, 3712, 3840, 3885, 4060, 4088, 4144, 4200, 4234, 4292, 4350, 4380, 4440, 4480, 4640, 4672, 4736, 4800, 4872, 5075, 5110, 5120, 5180, 5365, 5376, 5402, 5475, 5550, 5568, 5600, 5800, 5840, 5920, 6090, 6132, 6216, 6351, 6400, 6438, 6475, 6496, 6720, 6960, 7008, 7104, 7168, 7300, 7400, 7424, 7511, 7665, 7680, 7770, 8103, 8120, 8176, 8288, 8400, 8468, 8584, 8700, 8760, 8880, 8960, 9280, 9344, 9472, 9600, 9744, 10150, 10220, 10360, 10585, 10730, 10752, 10804, 10950, 11100, 11136, 11200, 11600, 11680, 11840, 12180, 12264, 12432, 12702, 12775, 12800, 12876, 12950, 12992, 13440, 13505, 13920, 14016, 14208, 14600, 14800, 14819, 14848, 15022, 15225, 15330, 15360, 15540, 16095, 16206, 16240, 16352, 16576, 16800, 16936, 17168, 17400, 17520, 17760, 17920, 18560, 18688, 18907, 18944, 19200, 19425, 19488, 20300, 20440, 20720, 21170, 21460, 21504, 21608, 21900, 22200, 22272, 22400, 22533, 23200, 23360, 23680, 24360, 24528, 24864, 25404, 25550, 25600, 25752, 25900, 25984, 26825, 26880, 27010, 27840, 28032, 28416, 29200, 29600, 29638, 29696, 30044, 30450, 30660, 31080, 31755, 32190, 32412, 32480, 32704, 33152, 33600, 33872, 34336, 34800, 35040, 35520, 35840, 37120, 37376, 37555, 37814, 37888, 38325, 38400, 38850, 38976, 40515, 40600, 40880, 41440, 42340, 42920, 43216, 43800, 44400, 44457, 44544, 44800, 45066, 46400, 46720, 47360, 48720, 49056, 49728, 50808, 51100, 51504, 51800, 51968, 52925, 53650, 53760, 54020, 55680, 56064, 56721, 56832, 58400, 59200, 59276, 60088, 60900, 61320, 62160, 63510, 64380, 64824, 64960, 65408, 66304, 67200, 67525, 67744, 68672, 69600, 70080, 71040, 74095, 74240, 74752, 75110, 75628, 76650, 76800, 77700, 77952, 78329, 80475, 81030, 81200, 81760, 82880, 84680, 85840, 86432, 87600, 88800, 88914, 89088, 89600, 90132, 92800, 93440, 94535, 94720, 97440, 98112, 99456, 101616, 102200, 103008, 103600, 103936, 105850, 107300, 107520, 108040, 111360, 112128, 112665, 113442, 113664, 116800, 118400, 118552, 120176, 121800, 122640, 124320, 127020, 128760, 129648, 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497280, 508080, 515040, 518592, 519680, 523264, 537600, 540200, 541952, 548303, 549376, 556800, 560640, 563325, 567210, 568320, 592760, 600880, 605024, 613200, 621600, 623616, 626632, 635100, 643800, 648240, 649600, 654080, 663040, 677440, 686720, 691456, 700800, 710400, 711312, 721056, 740950, 742400, 751100, 756280, 779520, 783290, 784896, 795648, 810300, 812928, 817600, 824064, 828800, 846800, 858400, 864320, 889140, 901320, 907536, 934400, 939948, 945350, 947200, 948416, 961408, 974400, 981120, 994560, 1016160, 1030080, 1037184, 1039360, 1080400, 1083904, 1096606, 1098752, 1111425, 1113600, 1121280, 1126650, 1134420, 1174935, 1185520, 1201760, 1210048, 1226400, 1243200, 1253264, 1270200, 1287600, 1296480, 1299200, 1308160, 1326080, 1354880, 1373440, 1382912, 1401600, 1418025, 1420800, 1422624, 1442112, 1481900, 1502200, 1512560, 1559040, 1566580, 1569792, 1620600, 1625856, 1635200, 1644909, 1648128, 1657600, 1693600, 1716800, 1728640, 1778280, 1802640, 1815072, 1868800, 1879896, 1890700, 1896832, 1922816, 1948800, 1958225, 1962240, 1989120, 2032320, 2060160, 2074368, 2160800, 2167808, 2193212, 2222850, 2227200, 2253300, 2268840, 2349870, 2371040, 2403520, 2420096, 2452800, 2486400, 2506528, 2540400, 2575200, 2592960, 2598400, 2616320, 2709760, 2741515, 2746880, 2765824, 2803200, 2836050, 2841600, 2845248, 2884224, 2963800, 3004400, 3025120, 3118080, 3133160, 3241200, 3251712, 3270400, 3289818, 3296256, 3315200, 3387200, 3433600, 3457280, 3556560, 3605280, 3630144, 3759792, 3781400, 3793664, 3845632, 3897600, 3916450, 3924480, 3978240, 4064640, 4120320, 4148736, 4321600, 4386424, 4445700, 4506600, 4537680, 4699740, 4742080, 4807040, 4840192, 4905600, 4972800, 5013056, 5080800, 5150400, 5185920, 5196800, 5419520, 5483030, 5493760, 5606400, 5672100, 5690496, 5768448, 5874675, 5927600, 6008800, 6050240, 6266320, 6482400, 6503424, 6540800, 6579636, 6630400, 6774400, 6867200, 6914560, 7113120, 7210560, 7260288, 7519584, 7562800, 7587328, 7691264, 7795200, 7832900, 7848960, 8129280, 8224545, 8240640, 8297472, 8643200, 8772848, 8891400, 9013200, 9075360, 9399480, 9484160, 9614080, 9680384, 9811200, 9945600, 10026112, 10161600, 10300800, 10371840, 10839040, 10966060, 11344200, 11380992, 11536896, 11749350, 11855200, 12017600, 12100480, 12532640, 12964800, 13081600, 13159272, 13548800, 13707575, 13734400, 13829120, 14226240, 14421120, 14520576, 15039168, 15125600, 15174656, 15590400, 15665800, 16258560, 16449090, 16481280, 17286400, 17545696, 17782800, 18026400, 18150720, 18798960, 18968320, 19228160, 19360768, 19622400, 19891200, 20052224, 20323200, 20601600, 20743680, 21932120, 22688400, 22761984, 23073792, 23498700, 23710400, 24035200, 24200960, 25065280, 25929600, 26318544, 27097600, 27415150, 27468800, 28452480, 28842240, 29041152, 30078336, 30251200, 31331600, 32517120, 32898180, 34572800, 35091392, 35565600, 36052800, 36301440, 37597920, 37936640, 38456320, 39244800, 40104448, 40646400, 41122725, 41203200, 41487360, 43864240, 45376800, 45523968, 46997400, 47420800, 48070400, 48401920, 50130560, 51859200, 52637088, 54195200, 54830300, 56904960, 57684480, 58082304, 60156672, 60502400, 62663200, 65796360, 69145600, 70182784, 71131200, 72105600, 72602880, 75195840, 75873280, 80208896, 81292800, 82245450, 82406400, 87728480, 90753600, 93994800, 94841600, 96140800, 96803840, 100261120, 103718400, 105274176, 109660600, 113809920, 115368960, 120313344, 121004800, 125326400, 131592720, 140365568, 142262400, 144211200, 145205760, 150391680, 162585600, 164490900, 175456960, 181507200, 187989600, 189683200, 192281600, 200522240, 207436800, 210548352, 219321200, 227619840, 240626688, 242009600, 250652800, 263185440, 280731136, 284524800, 288422400, 290411520, 300783360, 328981800, 350913920, 363014400, 375979200, 379366400, 401044480, 421096704, 438642400, 484019200, 501305600, 526370880, 561462272, 569049600, 576844800, 601566720, 657963600, 701827840, 726028800, 751958400, 842193408, 877284800, 1002611200, 1052741760, 1138099200, 1203133440, 1315927200, 1403655680, 1452057600, 1503916800, 1684386816, 1754569600, 2005222400, 2105483520, 2631854400, 2807311360, 3007833600, 3509139200, 4210967040, 5263708800, 6015667200, 7018278400, 8421934080, 10527417600, 14036556800, 21054835200, 42109670400]

約数ペア:

[(1, 42109670400), (2, 21054835200), (3, 14036556800), (4, 10527417600), (5, 8421934080), (6, 7018278400), (7, 6015667200), (8, 5263708800), (10, 4210967040), (12, 3509139200), (14, 3007833600), (15, 2807311360), (16, 2631854400), (20, 2105483520), (21, 2005222400), (24, 1754569600), (25, 1684386816), (28, 1503916800), (29, 1452057600), (30, 1403655680), (32, 1315927200), (35, 1203133440), (37, 1138099200), (40, 1052741760), (42, 1002611200), (48, 877284800), (50, 842193408), (56, 751958400), (58, 726028800), (60, 701827840), (64, 657963600), (70, 601566720), (73, 576844800), (74, 569049600), (75, 561462272), (80, 526370880), (84, 501305600), (87, 484019200), (96, 438642400), (100, 421096704), (105, 401044480), (111, 379366400), (112, 375979200), (116, 363014400), (120, 350913920), (128, 328981800), (140, 300783360), (145, 290411520), (146, 288422400), (148, 284524800), (150, 280731136), (160, 263185440), (168, 250652800), (174, 242009600), (175, 240626688), (185, 227619840), (192, 219321200), (200, 210548352), (203, 207436800), (210, 200522240), (219, 192281600), (222, 189683200), (224, 187989600), (232, 181507200), (240, 175456960), (256, 164490900), (259, 162585600), (280, 150391680), (290, 145205760), (292, 144211200), (296, 142262400), (300, 140365568), (320, 131592720), (336, 125326400), (348, 121004800), (350, 120313344), (365, 115368960), (370, 113809920), (384, 109660600), (400, 105274176), (406, 103718400), (420, 100261120), (435, 96803840), (438, 96140800), (444, 94841600), (448, 93994800), (464, 90753600), (480, 87728480), (511, 82406400), (512, 82245450), (518, 81292800), (525, 80208896), (555, 75873280), (560, 75195840), (580, 72602880), (584, 72105600), (592, 71131200), (600, 70182784), (609, 69145600), (640, 65796360), (672, 62663200), (696, 60502400), (700, 60156672), (725, 58082304), (730, 57684480), (740, 56904960), (768, 54830300), (777, 54195200), (800, 52637088), (812, 51859200), (840, 50130560), (870, 48401920), (876, 48070400), (888, 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(2555, 16481280), (2560, 16449090), (2590, 16258560), (2688, 15665800), (2701, 15590400), (2775, 15174656), (2784, 15125600), (2800, 15039168), (2900, 14520576), (2920, 14421120), (2960, 14226240), (3045, 13829120), (3066, 13734400), (3072, 13707575), (3108, 13548800), (3200, 13159272), (3219, 13081600), (3248, 12964800), (3360, 12532640), (3480, 12100480), (3504, 12017600), (3552, 11855200), (3584, 11749350), (3650, 11536896), (3700, 11380992), (3712, 11344200), (3840, 10966060), (3885, 10839040), (4060, 10371840), (4088, 10300800), (4144, 10161600), (4200, 10026112), (4234, 9945600), (4292, 9811200), (4350, 9680384), (4380, 9614080), (4440, 9484160), (4480, 9399480), (4640, 9075360), (4672, 9013200), (4736, 8891400), (4800, 8772848), (4872, 8643200), (5075, 8297472), (5110, 8240640), (5120, 8224545), (5180, 8129280), (5365, 7848960), (5376, 7832900), (5402, 7795200), (5475, 7691264), (5550, 7587328), (5568, 7562800), (5600, 7519584), (5800, 7260288), (5840, 7210560), (5920, 7113120), (6090, 6914560), (6132, 6867200), (6216, 6774400), (6351, 6630400), (6400, 6579636), (6438, 6540800), (6475, 6503424), (6496, 6482400), (6720, 6266320), (6960, 6050240), (7008, 6008800), (7104, 5927600), (7168, 5874675), (7300, 5768448), (7400, 5690496), (7424, 5672100), (7511, 5606400), (7665, 5493760), (7680, 5483030), (7770, 5419520), (8103, 5196800), (8120, 5185920), (8176, 5150400), (8288, 5080800), (8400, 5013056), (8468, 4972800), (8584, 4905600), (8700, 4840192), (8760, 4807040), (8880, 4742080), (8960, 4699740), (9280, 4537680), (9344, 4506600), (9472, 4445700), (9600, 4386424), (9744, 4321600), (10150, 4148736), (10220, 4120320), (10360, 4064640), (10585, 3978240), (10730, 3924480), (10752, 3916450), (10804, 3897600), (10950, 3845632), (11100, 3793664), (11136, 3781400), (11200, 3759792), (11600, 3630144), (11680, 3605280), (11840, 3556560), (12180, 3457280), (12264, 3433600), (12432, 3387200), (12702, 3315200), (12775, 3296256), (12800, 3289818), (12876, 3270400), (12950, 3251712), (12992, 3241200), (13440, 3133160), (13505, 3118080), (13920, 3025120), (14016, 3004400), (14208, 2963800), (14600, 2884224), (14800, 2845248), (14819, 2841600), (14848, 2836050), (15022, 2803200), (15225, 2765824), (15330, 2746880), (15360, 2741515), (15540, 2709760), (16095, 2616320), (16206, 2598400), (16240, 2592960), (16352, 2575200), (16576, 2540400), (16800, 2506528), (16936, 2486400), (17168, 2452800), (17400, 2420096), (17520, 2403520), (17760, 2371040), (17920, 2349870), (18560, 2268840), (18688, 2253300), (18907, 2227200), (18944, 2222850), (19200, 2193212), (19425, 2167808), (19488, 2160800), (20300, 2074368), (20440, 2060160), (20720, 2032320), (21170, 1989120), (21460, 1962240), (21504, 1958225), (21608, 1948800), (21900, 1922816), (22200, 1896832), (22272, 1890700), (22400, 1879896), (22533, 1868800), (23200, 1815072), (23360, 1802640), (23680, 1778280), (24360, 1728640), (24528, 1716800), (24864, 1693600), (25404, 1657600), (25550, 1648128), (25600, 1644909), (25752, 1635200), (25900, 1625856), (25984, 1620600), (26825, 1569792), (26880, 1566580), (27010, 1559040), (27840, 1512560), (28032, 1502200), (28416, 1481900), (29200, 1442112), (29600, 1422624), (29638, 1420800), (29696, 1418025), (30044, 1401600), (30450, 1382912), (30660, 1373440), (31080, 1354880), (31755, 1326080), (32190, 1308160), (32412, 1299200), (32480, 1296480), (32704, 1287600), (33152, 1270200), (33600, 1253264), (33872, 1243200), (34336, 1226400), (34800, 1210048), (35040, 1201760), (35520, 1185520), (35840, 1174935), (37120, 1134420), (37376, 1126650), (37555, 1121280), (37814, 1113600), (37888, 1111425), (38325, 1098752), (38400, 1096606), (38850, 1083904), (38976, 1080400), (40515, 1039360), (40600, 1037184), (40880, 1030080), (41440, 1016160), (42340, 994560), (42920, 981120), (43216, 974400), (43800, 961408), (44400, 948416), (44457, 947200), (44544, 945350), (44800, 939948), (45066, 934400), (46400, 907536), (46720, 901320), (47360, 889140), (48720, 864320), (49056, 858400), (49728, 846800), (50808, 828800), (51100, 824064), (51504, 817600), (51800, 812928), (51968, 810300), (52925, 795648), (53650, 784896), (53760, 783290), (54020, 779520), (55680, 756280), (56064, 751100), (56721, 742400), (56832, 740950), (58400, 721056), (59200, 711312), (59276, 710400), (60088, 700800), (60900, 691456), (61320, 686720), (62160, 677440), (63510, 663040), (64380, 654080), (64824, 649600), (64960, 648240), (65408, 643800), (66304, 635100), (67200, 626632), (67525, 623616), (67744, 621600), (68672, 613200), (69600, 605024), (70080, 600880), (71040, 592760), (74095, 568320), (74240, 567210), (74752, 563325), (75110, 560640), (75628, 556800), (76650, 549376), (76800, 548303), (77700, 541952), (77952, 540200), (78329, 537600), (80475, 523264), (81030, 519680), (81200, 518592), (81760, 515040), (82880, 508080), (84680, 497280), (85840, 490560), (86432, 487200), (87600, 480704), (88800, 474208), (88914, 473600), (89088, 472675), (89600, 469974), (90132, 467200), (92800, 453768), (93440, 450660), (94535, 445440), (94720, 444570), (97440, 432160), (98112, 429200), (99456, 423400), (101616, 414400), (102200, 412032), (103008, 408800), (103600, 406464), (103936, 405150), (105850, 397824), (107300, 392448), (107520, 391645), (108040, 389760), (111360, 378140), (112128, 375550), (112665, 373760), (113442, 371200), (113664, 370475), (116800, 360528), (118400, 355656), (118552, 355200), (120176, 350400), (121800, 345728), (122640, 343360), (124320, 338720), (127020, 331520), (128760, 327040), (129648, 324800), (129920, 324120), (130816, 321900), (132608, 317550), (134400, 313316), (135050, 311808), (135488, 310800), (137344, 306600), (139200, 302512), (140160, 300440), (142080, 296380), (148190, 284160), (148480, 283605), (150220, 280320), (151256, 278400), (153300, 274688), (155400, 270976), (155904, 270100), (156658, 268800), (158775, 265216), (160950, 261632), (162060, 259840), (162400, 259296), (163520, 257520), (165760, 254040), (169360, 248640), (171680, 245280), (172864, 243600), (175200, 240352), (177600, 237104), (177828, 236800), (179200, 234987), (180264, 233600), (185600, 226884), (186880, 225330), (187775, 224256), (189070, 222720), (189440, 222285), (194880, 216080), (196224, 214600), (198912, 211700), (202575, 207872), (203232, 207200), (204400, 206016)]