12711686400

素因数分解:

$2^8\times 3^4\times 5^2\times 7^1\times {\mathrm{31}}^1\times {\mathrm{113}}^1$

素因数の和:189

約数の個数: 1080

約数和(自身を含む): 55938753024

約数和(自身を除く): 43227066624

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, 28, 30, 31, 32, 35, 36, 40, 42, 45, 48, 50, 54, 56, 60, 62, 63, 64, 70, 72, 75, 80, 81, 84, 90, 93, 96, 100, 105, 108, 112, 113, 120, 124, 126, 128, 135, 140, 144, 150, 155, 160, 162, 168, 175, 180, 186, 189, 192, 200, 210, 216, 217, 224, 225, 226, 240, 248, 252, 256, 270, 279, 280, 288, 300, 310, 315, 320, 324, 336, 339, 350, 360, 372, 378, 384, 400, 405, 420, 432, 434, 448, 450, 452, 465, 480, 496, 504, 525, 540, 558, 560, 565, 567, 576, 600, 620, 630, 640, 648, 651, 672, 675, 678, 700, 720, 744, 756, 768, 775, 791, 800, 810, 837, 840, 864, 868, 896, 900, 904, 930, 945, 960, 992, 1008, 1017, 1050, 1080, 1085, 1116, 1120, 1130, 1134, 1152, 1200, 1240, 1260, 1280, 1296, 1302, 1344, 1350, 1356, 1395, 1400, 1440, 1488, 1512, 1550, 1575, 1582, 1600, 1620, 1674, 1680, 1695, 1728, 1736, 1792, 1800, 1808, 1860, 1890, 1920, 1953, 1984, 2016, 2025, 2034, 2100, 2160, 2170, 2232, 2240, 2260, 2268, 2304, 2325, 2373, 2400, 2480, 2511, 2520, 2592, 2604, 2688, 2700, 2712, 2790, 2800, 2825, 2835, 2880, 2976, 3024, 3051, 3100, 3150, 3164, 3200, 3240, 3255, 3348, 3360, 3390, 3456, 3472, 3503, 3600, 3616, 3720, 3780, 3840, 3906, 3955, 3968, 4032, 4050, 4068, 4185, 4200, 4320, 4340, 4464, 4480, 4520, 4536, 4650, 4725, 4746, 4800, 4960, 5022, 5040, 5085, 5184, 5208, 5376, 5400, 5424, 5425, 5580, 5600, 5650, 5670, 5760, 5859, 5952, 6048, 6102, 6200, 6300, 6328, 6400, 6480, 6510, 6696, 6720, 6780, 6912, 6944, 6975, 7006, 7119, 7200, 7232, 7440, 7560, 7812, 7910, 7936, 8064, 8100, 8136, 8370, 8400, 8475, 8640, 8680, 8928, 8960, 9040, 9072, 9153, 9300, 9450, 9492, 9600, 9765, 9920, 10044, 10080, 10170, 10368, 10416, 10509, 10800, 10848, 10850, 11160, 11200, 11300, 11340, 11520, 11718, 11865, 11904, 12096, 12204, 12400, 12555, 12600, 12656, 12960, 13020, 13392, 13440, 13560, 13888, 13950, 14012, 14175, 14238, 14400, 14464, 14880, 15120, 15255, 15624, 15820, 16128, 16200, 16272, 16275, 16740, 16800, 16950, 17280, 17360, 17515, 17577, 17856, 18080, 18144, 18306, 18600, 18900, 18984, 19200, 19530, 19775, 19840, 20088, 20160, 20340, 20736, 20832, 20925, 21018, 21357, 21600, 21696, 21700, 22320, 22400, 22600, 22680, 23436, 23730, 23808, 24192, 24408, 24521, 24800, 25110, 25200, 25312, 25425, 25920, 26040, 26784, 26880, 27120, 27776, 27900, 28024, 28350, 28476, 28800, 28928, 29295, 29760, 30240, 30510, 31248, 31527, 31640, 32400, 32544, 32550, 33480, 33600, 33900, 34560, 34720, 35030, 35154, 35595, 35712, 36160, 36288, 36612, 37200, 37800, 37968, 39060, 39550, 39680, 40176, 40320, 40680, 41664, 41850, 42036, 42714, 43200, 43392, 43400, 44640, 44800, 45200, 45360, 45765, 46872, 47460, 48384, 48816, 48825, 49042, 49600, 50220, 50400, 50624, 50850, 51840, 52080, 52545, 53568, 54240, 55552, 55800, 56048, 56700, 56952, 57600, 58590, 59325, 59520, 60480, 61020, 62496, 62775, 63054, 63280, 64071, 64800, 65088, 65100, 66960, 67200, 67800, 69440, 70060, 70308, 71190, 71424, 72320, 72576, 73224, 73563, 74400, 75600, 75936, 76275, 78120, 79100, 80352, 80640, 81360, 83328, 83700, 84072, 85428, 86400, 86784, 86800, 87575, 87885, 89280, 90400, 90720, 91530, 93744, 94581, 94920, 97632, 97650, 98084, 99200, 100440, 100800, 101248, 101700, 103680, 104160, 105090, 106785, 107136, 108480, 111600, 112096, 113400, 113904, 117180, 118650, 119040, 120960, 122040, 122605, 124992, 125550, 126108, 126560, 128142, 129600, 130176, 130200, 133920, 134400, 135600, 138880, 140120, 140616, 142380, 144640, 145152, 146448, 146475, 147126, 148800, 151200, 151872, 152550, 156240, 157635, 158200, 160704, 162720, 166656, 167400, 168144, 170856, 172800, 173600, 175150, 175770, 177975, 178560, 180800, 181440, 183060, 187488, 189162, 189840, 195264, 195300, 196168, 198400, 200880, 201600, 202496, 203400, 208320, 210180, 213570, 214272, 216960, 220689, 223200, 224192, 226800, 227808, 228825, 234360, 237300, 241920, 244080, 245210, 249984, 251100, 252216, 253120, 256284, 259200, 260352, 260400, 262725, 267840, 271200, 277760, 280240, 281232, 283743, 284760, 292896, 292950, 294252, 297600, 302400, 303744, 305100, 312480, 315270, 316400, 320355, 321408, 325440, 334800, 336288, 341712, 347200, 350300, 351540, 355950, 357120, 361600, 362880, 366120, 367815, 374976, 378324, 379680, 390528, 390600, 392336, 401760, 403200, 406800, 416640, 420360, 427140, 433920, 439425, 441378, 446400, 448384, 453600, 455616, 457650, 468720, 472905, 474600, 488160, 490420, 499968, 502200, 504432, 506240, 512568, 518400, 520800, 525450, 533925, 535680, 542400, 560480, 562464, 567486, 569520, 585792, 585900, 588504, 595200, 604800, 607488, 610200, 613025, 624960, 630540, 632800, 640710, 642816, 650880, 662067, 669600, 672576, 683424, 694400, 700600, 703080, 711900, 723200, 725760, 732240, 735630, 749952, 756648, 759360, 781056, 781200, 784672, 788175, 803520, 813600, 833280, 840720, 854280, 878850, 882756, 892800, 896768, 907200, 911232, 915300, 937440, 945810, 949200, 976320, 980840, 1004400, 1008864, 1012480, 1025136, 1041600, 1050900, 1067850, 1071360, 1084800, 1103445, 1120960, 1124928, 1134972, 1139040, 1171584, 1171800, 1177008, 1209600, 1220400, 1226050, 1249920, 1261080, 1265600, 1281420, 1301760, 1324134, 1339200, 1345152, 1366848, 1388800, 1401200, 1406160, 1418715, 1423800, 1464480, 1471260, 1499904, 1513296, 1518720, 1562400, 1569344, 1576350, 1601775, 1607040, 1627200, 1681440, 1708560, 1757700, 1765512, 1785600, 1814400, 1822464, 1830600, 1839075, 1874880, 1891620, 1898400, 1952640, 1961680, 1986201, 2008800, 2017728, 2050272, 2083200, 2101800, 2135700, 2169600, 2206890, 2241920, 2249856, 2269944, 2278080, 2343168, 2343600, 2354016, 2364525, 2440800, 2452100, 2499840, 2522160, 2531200, 2562840, 2648268, 2678400, 2690304, 2733696, 2802400, 2812320, 2837430, 2847600, 2928960, 2942520, 3026592, 3037440, 3124800, 3138688, 3152700, 3203550, 3214080, 3254400, 3310335, 3362880, 3417120, 3515400, 3531024, 3628800, 3661200, 3678150, 3749760, 3783240, 3796800, 3905280, 3923360, 3972402, 4017600, 4035456, 4100544, 4166400, 4203600, 4271400, 4413780, 4483840, 4499712, 4539888, 4556160, 4687200, 4708032, 4729050, 4881600, 4904200, 5044320, 5062400, 5125680, 5296536, 5356800, 5467392, 5517225, 5604800, 5624640, 5674860, 5695200, 5857920, 5885040, 6053184, 6249600, 6277376, 6305400, 6407100, 6508800, 6620670, 6725760, 6834240, 7030800, 7062048, 7093575, 7322400, 7356300, 7499520, 7566480, 7593600, 7846720, 7944804, 8035200, 8070912, 8201088, 8407200, 8542800, 8827560, 9079776, 9112320, 9374400, 9416064, 9458100, 9763200, 9808400, 9931005, 10088640, 10251360, 10593072, 11034450, 11209600, 11249280, 11349720, 11390400, 11715840, 11770080, 12106368, 12499200, 12610800, 12814200, 13241340, 13451520, 13668480, 14061600, 14124096, 14187150, 14644800, 14712600, 15132960, 15187200, 15693440, 15889608, 16070400, 16402176, 16551675, 16814400, 17085600, 17655120, 18159552, 18748800, 18832128, 18916200, 19526400, 19616800, 19862010, 20177280, 20502720, 21186144, 22068900, 22419200, 22498560, 22699440, 22780800, 23540160, 24212736, 25221600, 25628400, 26482680, 27336960, 28123200, 28248192, 28374300, 29289600, 29425200, 30265920, 31386880, 31779216, 33103350, 33628800, 34171200, 35310240, 36319104, 37497600, 37832400, 39233600, 39724020, 40354560, 41005440, 42372288, 44137800, 45398880, 45561600, 47080320, 49655025, 50443200, 51256800, 52965360, 56246400, 56496384, 56748600, 58579200, 58850400, 60531840, 63558432, 66206700, 67257600, 68342400, 70620480, 72638208, 75664800, 78467200, 79448040, 82010880, 84744576, 88275600, 90797760, 94160640, 99310050, 100886400, 102513600, 105930720, 112492800, 113497200, 117700800, 121063680, 127116864, 132413400, 136684800, 141240960, 151329600, 156934400, 158896080, 169489152, 176551200, 181595520, 198620100, 201772800, 205027200, 211861440, 226994400, 235401600, 254233728, 264826800, 282481920, 302659200, 317792160, 353102400, 363191040, 397240200, 410054400, 423722880, 453988800, 470803200, 508467456, 529653600, 605318400, 635584320, 706204800, 794480400, 847445760, 907977600, 1059307200, 1271168640, 1412409600, 1588960800, 1815955200, 2118614400, 2542337280, 3177921600, 4237228800, 6355843200, 12711686400]

約数ペア:

[(1, 12711686400), (2, 6355843200), (3, 4237228800), (4, 3177921600), (5, 2542337280), (6, 2118614400), (7, 1815955200), (8, 1588960800), (9, 1412409600), (10, 1271168640), (12, 1059307200), (14, 907977600), (15, 847445760), (16, 794480400), (18, 706204800), (20, 635584320), (21, 605318400), (24, 529653600), (25, 508467456), (27, 470803200), (28, 453988800), (30, 423722880), (31, 410054400), (32, 397240200), (35, 363191040), (36, 353102400), (40, 317792160), (42, 302659200), (45, 282481920), (48, 264826800), (50, 254233728), (54, 235401600), (56, 226994400), (60, 211861440), (62, 205027200), (63, 201772800), (64, 198620100), (70, 181595520), (72, 176551200), (75, 169489152), (80, 158896080), (81, 156934400), (84, 151329600), (90, 141240960), (93, 136684800), (96, 132413400), (100, 127116864), (105, 121063680), (108, 117700800), (112, 113497200), (113, 112492800), (120, 105930720), (124, 102513600), (126, 100886400), (128, 99310050), (135, 94160640), (140, 90797760), (144, 88275600), (150, 84744576), (155, 82010880), (160, 79448040), (162, 78467200), (168, 75664800), (175, 72638208), (180, 70620480), (186, 68342400), (189, 67257600), (192, 66206700), (200, 63558432), (210, 60531840), (216, 58850400), (217, 58579200), (224, 56748600), (225, 56496384), (226, 56246400), (240, 52965360), (248, 51256800), (252, 50443200), (256, 49655025), (270, 47080320), (279, 45561600), (280, 45398880), (288, 44137800), (300, 42372288), (310, 41005440), (315, 40354560), (320, 39724020), (324, 39233600), (336, 37832400), (339, 37497600), (350, 36319104), (360, 35310240), (372, 34171200), (378, 33628800), (384, 33103350), (400, 31779216), (405, 31386880), (420, 30265920), (432, 29425200), (434, 29289600), (448, 28374300), (450, 28248192), (452, 28123200), (465, 27336960), (480, 26482680), (496, 25628400), (504, 25221600), (525, 24212736), (540, 23540160), (558, 22780800), (560, 22699440), (565, 22498560), (567, 22419200), (576, 22068900), (600, 21186144), (620, 20502720), (630, 20177280), (640, 19862010), (648, 19616800), (651, 19526400), (672, 18916200), (675, 18832128), (678, 18748800), (700, 18159552), (720, 17655120), (744, 17085600), (756, 16814400), (768, 16551675), (775, 16402176), (791, 16070400), (800, 15889608), (810, 15693440), (837, 15187200), (840, 15132960), (864, 14712600), (868, 14644800), (896, 14187150), (900, 14124096), (904, 14061600), (930, 13668480), (945, 13451520), (960, 13241340), (992, 12814200), (1008, 12610800), (1017, 12499200), (1050, 12106368), (1080, 11770080), (1085, 11715840), (1116, 11390400), (1120, 11349720), (1130, 11249280), (1134, 11209600), (1152, 11034450), (1200, 10593072), (1240, 10251360), (1260, 10088640), (1280, 9931005), (1296, 9808400), (1302, 9763200), (1344, 9458100), (1350, 9416064), (1356, 9374400), (1395, 9112320), (1400, 9079776), (1440, 8827560), (1488, 8542800), (1512, 8407200), (1550, 8201088), (1575, 8070912), (1582, 8035200), (1600, 7944804), (1620, 7846720), (1674, 7593600), (1680, 7566480), (1695, 7499520), (1728, 7356300), (1736, 7322400), (1792, 7093575), (1800, 7062048), (1808, 7030800), (1860, 6834240), (1890, 6725760), (1920, 6620670), (1953, 6508800), (1984, 6407100), (2016, 6305400), (2025, 6277376), (2034, 6249600), (2100, 6053184), (2160, 5885040), (2170, 5857920), (2232, 5695200), (2240, 5674860), (2260, 5624640), (2268, 5604800), (2304, 5517225), (2325, 5467392), (2373, 5356800), (2400, 5296536), (2480, 5125680), (2511, 5062400), (2520, 5044320), (2592, 4904200), (2604, 4881600), (2688, 4729050), (2700, 4708032), (2712, 4687200), (2790, 4556160), (2800, 4539888), (2825, 4499712), (2835, 4483840), (2880, 4413780), (2976, 4271400), (3024, 4203600), (3051, 4166400), (3100, 4100544), (3150, 4035456), (3164, 4017600), (3200, 3972402), (3240, 3923360), (3255, 3905280), (3348, 3796800), (3360, 3783240), (3390, 3749760), (3456, 3678150), (3472, 3661200), (3503, 3628800), (3600, 3531024), (3616, 3515400), (3720, 3417120), (3780, 3362880), (3840, 3310335), (3906, 3254400), (3955, 3214080), (3968, 3203550), (4032, 3152700), (4050, 3138688), (4068, 3124800), (4185, 3037440), (4200, 3026592), (4320, 2942520), (4340, 2928960), (4464, 2847600), (4480, 2837430), (4520, 2812320), (4536, 2802400), (4650, 2733696), (4725, 2690304), (4746, 2678400), (4800, 2648268), (4960, 2562840), (5022, 2531200), (5040, 2522160), (5085, 2499840), (5184, 2452100), (5208, 2440800), (5376, 2364525), (5400, 2354016), (5424, 2343600), (5425, 2343168), (5580, 2278080), (5600, 2269944), (5650, 2249856), (5670, 2241920), (5760, 2206890), (5859, 2169600), (5952, 2135700), (6048, 2101800), (6102, 2083200), (6200, 2050272), (6300, 2017728), (6328, 2008800), (6400, 1986201), (6480, 1961680), (6510, 1952640), (6696, 1898400), (6720, 1891620), (6780, 1874880), (6912, 1839075), (6944, 1830600), (6975, 1822464), (7006, 1814400), (7119, 1785600), (7200, 1765512), (7232, 1757700), (7440, 1708560), (7560, 1681440), (7812, 1627200), (7910, 1607040), (7936, 1601775), (8064, 1576350), (8100, 1569344), (8136, 1562400), (8370, 1518720), (8400, 1513296), (8475, 1499904), (8640, 1471260), (8680, 1464480), (8928, 1423800), (8960, 1418715), (9040, 1406160), (9072, 1401200), (9153, 1388800), (9300, 1366848), (9450, 1345152), (9492, 1339200), (9600, 1324134), (9765, 1301760), (9920, 1281420), (10044, 1265600), (10080, 1261080), (10170, 1249920), (10368, 1226050), (10416, 1220400), (10509, 1209600), (10800, 1177008), (10848, 1171800), (10850, 1171584), (11160, 1139040), (11200, 1134972), (11300, 1124928), (11340, 1120960), (11520, 1103445), (11718, 1084800), (11865, 1071360), (11904, 1067850), (12096, 1050900), (12204, 1041600), (12400, 1025136), (12555, 1012480), (12600, 1008864), (12656, 1004400), (12960, 980840), (13020, 976320), (13392, 949200), (13440, 945810), (13560, 937440), (13888, 915300), (13950, 911232), (14012, 907200), (14175, 896768), (14238, 892800), (14400, 882756), (14464, 878850), (14880, 854280), (15120, 840720), (15255, 833280), (15624, 813600), (15820, 803520), (16128, 788175), (16200, 784672), (16272, 781200), (16275, 781056), (16740, 759360), (16800, 756648), (16950, 749952), (17280, 735630), (17360, 732240), (17515, 725760), (17577, 723200), (17856, 711900), (18080, 703080), (18144, 700600), (18306, 694400), (18600, 683424), (18900, 672576), (18984, 669600), (19200, 662067), (19530, 650880), (19775, 642816), (19840, 640710), (20088, 632800), (20160, 630540), (20340, 624960), (20736, 613025), (20832, 610200), (20925, 607488), (21018, 604800), (21357, 595200), (21600, 588504), (21696, 585900), (21700, 585792), (22320, 569520), (22400, 567486), (22600, 562464), (22680, 560480), (23436, 542400), (23730, 535680), (23808, 533925), (24192, 525450), (24408, 520800), (24521, 518400), (24800, 512568), (25110, 506240), (25200, 504432), (25312, 502200), (25425, 499968), (25920, 490420), (26040, 488160), (26784, 474600), (26880, 472905), (27120, 468720), (27776, 457650), (27900, 455616), (28024, 453600), (28350, 448384), (28476, 446400), (28800, 441378), (28928, 439425), (29295, 433920), (29760, 427140), (30240, 420360), (30510, 416640), (31248, 406800), (31527, 403200), (31640, 401760), (32400, 392336), (32544, 390600), (32550, 390528), (33480, 379680), (33600, 378324), (33900, 374976), (34560, 367815), (34720, 366120), (35030, 362880), (35154, 361600), (35595, 357120), (35712, 355950), (36160, 351540), (36288, 350300), (36612, 347200), (37200, 341712), (37800, 336288), (37968, 334800), (39060, 325440), (39550, 321408), (39680, 320355), (40176, 316400), (40320, 315270), (40680, 312480), (41664, 305100), (41850, 303744), (42036, 302400), (42714, 297600), (43200, 294252), (43392, 292950), (43400, 292896), (44640, 284760), (44800, 283743), (45200, 281232), (45360, 280240), (45765, 277760), (46872, 271200), (47460, 267840), (48384, 262725), (48816, 260400), (48825, 260352), (49042, 259200), (49600, 256284), (50220, 253120), (50400, 252216), (50624, 251100), (50850, 249984), (51840, 245210), (52080, 244080), (52545, 241920), (53568, 237300), (54240, 234360), (55552, 228825), (55800, 227808), (56048, 226800), (56700, 224192), (56952, 223200), (57600, 220689), (58590, 216960), (59325, 214272), (59520, 213570), (60480, 210180), (61020, 208320), (62496, 203400), (62775, 202496), (63054, 201600), (63280, 200880), (64071, 198400), (64800, 196168), (65088, 195300), (65100, 195264), (66960, 189840), (67200, 189162), (67800, 187488), (69440, 183060), (70060, 181440), (70308, 180800), (71190, 178560), (71424, 177975), (72320, 175770), (72576, 175150), (73224, 173600), (73563, 172800), (74400, 170856), (75600, 168144), (75936, 167400), (76275, 166656), (78120, 162720), (79100, 160704), (80352, 158200), (80640, 157635), (81360, 156240), (83328, 152550), (83700, 151872), (84072, 151200), (85428, 148800), (86400, 147126), (86784, 146475), (86800, 146448), (87575, 145152), (87885, 144640), (89280, 142380), (90400, 140616), (90720, 140120), (91530, 138880), (93744, 135600), (94581, 134400), (94920, 133920), (97632, 130200), (97650, 130176), (98084, 129600), (99200, 128142), (100440, 126560), (100800, 126108), (101248, 125550), (101700, 124992), (103680, 122605), (104160, 122040), (105090, 120960), (106785, 119040), (107136, 118650), (108480, 117180), (111600, 113904), (112096, 113400)]