56558880000

素因数分解:

$2^8\times 3^2\times 5^4\times 7^1\times {\mathrm{31}}^1\times {\mathrm{181}}^1$

素因数の和:261

約数の個数: 1080

約数和(自身を含む): 241727822336

約数和(自身を除く): 185168942336

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 28, 30, 31, 32, 35, 36, 40, 42, 45, 48, 50, 56, 60, 62, 63, 64, 70, 72, 75, 80, 84, 90, 93, 96, 100, 105, 112, 120, 124, 125, 126, 128, 140, 144, 150, 155, 160, 168, 175, 180, 181, 186, 192, 200, 210, 217, 224, 225, 240, 248, 250, 252, 256, 279, 280, 288, 300, 310, 315, 320, 336, 350, 360, 362, 372, 375, 384, 400, 420, 434, 448, 450, 465, 480, 496, 500, 504, 525, 543, 558, 560, 576, 600, 620, 625, 630, 640, 651, 672, 700, 720, 724, 744, 750, 768, 775, 800, 840, 868, 875, 896, 900, 905, 930, 960, 992, 1000, 1008, 1050, 1085, 1086, 1116, 1120, 1125, 1152, 1200, 1240, 1250, 1260, 1267, 1280, 1302, 1344, 1395, 1400, 1440, 1448, 1488, 1500, 1550, 1575, 1600, 1629, 1680, 1736, 1750, 1792, 1800, 1810, 1860, 1875, 1920, 1953, 1984, 2000, 2016, 2100, 2170, 2172, 2232, 2240, 2250, 2304, 2325, 2400, 2480, 2500, 2520, 2534, 2604, 2625, 2688, 2715, 2790, 2800, 2880, 2896, 2976, 3000, 3100, 3150, 3200, 3255, 3258, 3360, 3472, 3500, 3600, 3620, 3720, 3750, 3801, 3840, 3875, 3906, 3968, 4000, 4032, 4200, 4340, 4344, 4375, 4464, 4480, 4500, 4525, 4650, 4800, 4960, 5000, 5040, 5068, 5208, 5250, 5376, 5425, 5430, 5580, 5600, 5611, 5625, 5760, 5792, 5952, 6000, 6200, 6300, 6335, 6400, 6510, 6516, 6720, 6944, 6975, 7000, 7200, 7240, 7440, 7500, 7602, 7750, 7812, 7875, 7936, 8000, 8064, 8145, 8400, 8680, 8688, 8750, 8928, 8960, 9000, 9050, 9300, 9600, 9765, 9920, 10000, 10080, 10136, 10416, 10500, 10850, 10860, 11160, 11200, 11222, 11250, 11403, 11520, 11584, 11625, 11904, 12000, 12400, 12600, 12670, 13020, 13032, 13125, 13440, 13575, 13888, 13950, 14000, 14400, 14480, 14880, 15000, 15204, 15500, 15624, 15750, 16000, 16128, 16275, 16290, 16800, 16833, 17360, 17376, 17500, 17856, 18000, 18100, 18600, 19005, 19200, 19375, 19530, 19840, 20000, 20160, 20272, 20832, 21000, 21700, 21720, 22320, 22400, 22444, 22500, 22625, 22806, 23168, 23250, 23808, 24000, 24800, 25200, 25340, 26040, 26064, 26250, 26880, 27125, 27150, 27776, 27900, 28000, 28055, 28800, 28960, 29760, 30000, 30408, 31000, 31248, 31500, 31675, 32000, 32550, 32580, 33600, 33666, 34720, 34752, 34875, 35000, 35712, 36000, 36200, 37200, 38010, 38750, 39060, 39277, 39375, 39680, 40000, 40320, 40544, 40725, 41664, 42000, 43400, 43440, 44640, 44800, 44888, 45000, 45250, 45612, 46336, 46500, 48000, 48825, 49600, 50400, 50499, 50680, 52080, 52128, 52500, 54250, 54300, 55552, 55800, 56000, 56110, 57015, 57600, 57920, 58125, 59520, 60000, 60816, 62000, 62496, 63000, 63350, 65100, 65160, 67200, 67332, 67875, 69440, 69504, 69750, 70000, 71424, 72000, 72400, 74400, 76020, 77500, 78120, 78554, 78750, 80000, 80640, 81088, 81375, 81450, 83328, 84000, 84165, 86800, 86880, 89280, 89776, 90000, 90500, 91224, 93000, 95025, 96000, 97650, 99200, 100800, 100998, 101360, 104160, 104256, 105000, 108500, 108600, 111600, 112000, 112220, 113125, 114030, 115840, 116250, 117831, 119040, 120000, 121632, 124000, 124992, 126000, 126700, 130200, 130320, 134400, 134664, 135625, 135750, 138880, 139008, 139500, 140000, 140275, 144000, 144800, 148800, 152040, 155000, 156240, 157108, 157500, 158375, 160000, 162176, 162750, 162900, 166656, 168000, 168330, 173600, 173760, 174375, 178560, 179552, 180000, 181000, 182448, 186000, 190050, 195300, 196385, 198400, 201600, 201996, 202720, 203625, 208320, 208512, 210000, 217000, 217200, 223200, 224000, 224440, 226250, 228060, 231680, 232500, 235662, 240000, 243264, 244125, 248000, 249984, 252000, 252495, 253400, 260400, 260640, 269328, 271250, 271500, 277760, 279000, 280000, 280550, 285075, 288000, 289600, 297600, 304080, 310000, 312480, 314216, 315000, 316750, 324352, 325500, 325800, 336000, 336660, 339375, 347200, 347520, 348750, 353493, 357120, 359104, 360000, 362000, 364896, 372000, 380100, 390600, 392770, 403200, 403992, 405440, 406875, 407250, 416640, 417024, 420000, 420825, 434000, 434400, 446400, 448880, 452500, 456120, 465000, 471324, 475125, 480000, 486528, 488250, 496000, 499968, 504000, 504990, 506800, 520800, 521280, 538656, 542500, 543000, 558000, 560000, 561100, 570150, 579200, 589155, 595200, 608160, 620000, 624960, 628432, 630000, 633500, 651000, 651600, 672000, 673320, 678750, 694400, 695040, 697500, 701375, 706986, 718208, 720000, 724000, 729792, 744000, 760200, 781200, 785540, 791875, 807984, 810880, 813750, 814500, 833280, 840000, 841650, 868000, 868800, 892800, 897760, 905000, 912240, 930000, 942648, 950250, 973056, 976500, 981925, 992000, 1008000, 1009980, 1013600, 1018125, 1041600, 1042560, 1077312, 1085000, 1086000, 1116000, 1120000, 1122200, 1140300, 1158400, 1178310, 1216320, 1220625, 1240000, 1249920, 1256864, 1260000, 1262475, 1267000, 1302000, 1303200, 1346640, 1357500, 1388800, 1395000, 1402750, 1413972, 1425375, 1436416, 1440000, 1448000, 1459584, 1488000, 1520400, 1562400, 1571080, 1583750, 1615968, 1621760, 1627500, 1629000, 1680000, 1683300, 1736000, 1737600, 1767465, 1785600, 1795520, 1810000, 1824480, 1860000, 1885296, 1900500, 1953000, 1963850, 2016000, 2019960, 2027200, 2036250, 2083200, 2085120, 2104125, 2154624, 2170000, 2172000, 2232000, 2244400, 2280600, 2356620, 2375625, 2432640, 2441250, 2480000, 2499840, 2513728, 2520000, 2524950, 2534000, 2604000, 2606400, 2693280, 2715000, 2790000, 2805500, 2827944, 2850750, 2896000, 2919168, 2945775, 2976000, 3040800, 3124800, 3142160, 3167500, 3231936, 3255000, 3258000, 3360000, 3366600, 3472000, 3475200, 3506875, 3534930, 3591040, 3620000, 3648960, 3720000, 3770592, 3801000, 3906000, 3927700, 4039920, 4054400, 4072500, 4166400, 4208250, 4309248, 4340000, 4344000, 4464000, 4488800, 4561200, 4713240, 4751250, 4865280, 4882500, 4909625, 4960000, 5027456, 5040000, 5049900, 5068000, 5208000, 5212800, 5386560, 5430000, 5580000, 5611000, 5655888, 5701500, 5792000, 5891550, 6081600, 6249600, 6284320, 6312375, 6335000, 6463872, 6510000, 6516000, 6733200, 6944000, 7013750, 7069860, 7126875, 7182080, 7240000, 7297920, 7440000, 7541184, 7602000, 7812000, 7855400, 8079840, 8108800, 8145000, 8416500, 8680000, 8688000, 8837325, 8928000, 8977600, 9122400, 9426480, 9502500, 9765000, 9819250, 10054912, 10080000, 10099800, 10136000, 10416000, 10425600, 10520625, 10773120, 10860000, 11160000, 11222000, 11311776, 11403000, 11783100, 12163200, 12499200, 12568640, 12624750, 12670000, 12927744, 13020000, 13032000, 13466400, 14027500, 14139720, 14253750, 14480000, 14595840, 14728875, 14880000, 15082368, 15204000, 15624000, 15710800, 16159680, 16290000, 16833000, 17360000, 17376000, 17674650, 17955200, 18244800, 18852960, 19005000, 19530000, 19638500, 20199600, 20272000, 20832000, 21041250, 21546240, 21720000, 22320000, 22444000, 22623552, 22806000, 23566200, 24326400, 24548125, 25137280, 25249500, 25340000, 26040000, 26064000, 26932800, 28055000, 28279440, 28507500, 28960000, 29457750, 30164736, 30408000, 31248000, 31421600, 31561875, 32319360, 32580000, 33666000, 34720000, 35349300, 35910400, 36489600, 37705920, 38010000, 39060000, 39277000, 40399200, 40544000, 42082500, 43440000, 44186625, 44640000, 44888000, 45247104, 45612000, 47132400, 49096250, 50274560, 50499000, 50680000, 52080000, 52128000, 53865600, 56110000, 56558880, 57015000, 58915500, 60816000, 62496000, 62843200, 63123750, 64638720, 65160000, 67332000, 70698600, 72979200, 73644375, 75411840, 76020000, 78120000, 78554000, 80798400, 84165000, 86880000, 88373250, 89776000, 90494208, 91224000, 94264800, 98192500, 100998000, 101360000, 104160000, 107731200, 112220000, 113117760, 114030000, 117831000, 121632000, 125686400, 126247500, 130320000, 134664000, 141397200, 147288750, 150823680, 152040000, 156240000, 157108000, 161596800, 168330000, 176746500, 179552000, 182448000, 188529600, 196385000, 201996000, 202720000, 220933125, 224440000, 226235520, 228060000, 235662000, 251372800, 252495000, 260640000, 269328000, 282794400, 294577500, 304080000, 312480000, 314216000, 323193600, 336660000, 353493000, 364896000, 377059200, 392770000, 403992000, 441866250, 448880000, 452471040, 456120000, 471324000, 504990000, 538656000, 565588800, 589155000, 608160000, 628432000, 673320000, 706986000, 754118400, 785540000, 807984000, 883732500, 897760000, 912240000, 942648000, 1009980000, 1131177600, 1178310000, 1256864000, 1346640000, 1413972000, 1571080000, 1615968000, 1767465000, 1824480000, 1885296000, 2019960000, 2262355200, 2356620000, 2693280000, 2827944000, 3142160000, 3534930000, 3770592000, 4039920000, 4713240000, 5655888000, 6284320000, 7069860000, 8079840000, 9426480000, 11311776000, 14139720000, 18852960000, 28279440000, 56558880000]

約数ペア:

[(1, 56558880000), (2, 28279440000), (3, 18852960000), (4, 14139720000), (5, 11311776000), (6, 9426480000), (7, 8079840000), (8, 7069860000), (9, 6284320000), (10, 5655888000), (12, 4713240000), (14, 4039920000), (15, 3770592000), (16, 3534930000), (18, 3142160000), (20, 2827944000), (21, 2693280000), (24, 2356620000), (25, 2262355200), (28, 2019960000), (30, 1885296000), (31, 1824480000), (32, 1767465000), (35, 1615968000), (36, 1571080000), (40, 1413972000), (42, 1346640000), (45, 1256864000), (48, 1178310000), (50, 1131177600), (56, 1009980000), (60, 942648000), (62, 912240000), (63, 897760000), (64, 883732500), (70, 807984000), (72, 785540000), (75, 754118400), (80, 706986000), (84, 673320000), (90, 628432000), (93, 608160000), (96, 589155000), (100, 565588800), (105, 538656000), (112, 504990000), (120, 471324000), (124, 456120000), (125, 452471040), (126, 448880000), (128, 441866250), (140, 403992000), (144, 392770000), (150, 377059200), (155, 364896000), (160, 353493000), (168, 336660000), (175, 323193600), (180, 314216000), (181, 312480000), (186, 304080000), (192, 294577500), (200, 282794400), (210, 269328000), (217, 260640000), (224, 252495000), (225, 251372800), (240, 235662000), (248, 228060000), (250, 226235520), (252, 224440000), (256, 220933125), (279, 202720000), (280, 201996000), (288, 196385000), (300, 188529600), (310, 182448000), (315, 179552000), (320, 176746500), (336, 168330000), (350, 161596800), (360, 157108000), (362, 156240000), (372, 152040000), (375, 150823680), (384, 147288750), (400, 141397200), (420, 134664000), (434, 130320000), (448, 126247500), (450, 125686400), (465, 121632000), (480, 117831000), (496, 114030000), (500, 113117760), (504, 112220000), (525, 107731200), (543, 104160000), (558, 101360000), (560, 100998000), (576, 98192500), (600, 94264800), (620, 91224000), (625, 90494208), (630, 89776000), (640, 88373250), (651, 86880000), (672, 84165000), (700, 80798400), (720, 78554000), (724, 78120000), (744, 76020000), (750, 75411840), (768, 73644375), (775, 72979200), (800, 70698600), (840, 67332000), (868, 65160000), (875, 64638720), (896, 63123750), (900, 62843200), (905, 62496000), (930, 60816000), (960, 58915500), (992, 57015000), (1000, 56558880), (1008, 56110000), (1050, 53865600), (1085, 52128000), (1086, 52080000), (1116, 50680000), (1120, 50499000), (1125, 50274560), (1152, 49096250), (1200, 47132400), (1240, 45612000), (1250, 45247104), (1260, 44888000), (1267, 44640000), (1280, 44186625), (1302, 43440000), (1344, 42082500), (1395, 40544000), (1400, 40399200), (1440, 39277000), (1448, 39060000), (1488, 38010000), (1500, 37705920), (1550, 36489600), (1575, 35910400), (1600, 35349300), (1629, 34720000), (1680, 33666000), (1736, 32580000), (1750, 32319360), (1792, 31561875), (1800, 31421600), (1810, 31248000), (1860, 30408000), (1875, 30164736), (1920, 29457750), (1953, 28960000), (1984, 28507500), (2000, 28279440), (2016, 28055000), (2100, 26932800), (2170, 26064000), (2172, 26040000), (2232, 25340000), (2240, 25249500), (2250, 25137280), (2304, 24548125), (2325, 24326400), (2400, 23566200), (2480, 22806000), (2500, 22623552), (2520, 22444000), (2534, 22320000), (2604, 21720000), (2625, 21546240), (2688, 21041250), (2715, 20832000), (2790, 20272000), (2800, 20199600), (2880, 19638500), (2896, 19530000), (2976, 19005000), (3000, 18852960), (3100, 18244800), (3150, 17955200), (3200, 17674650), (3255, 17376000), (3258, 17360000), (3360, 16833000), (3472, 16290000), (3500, 16159680), (3600, 15710800), (3620, 15624000), (3720, 15204000), (3750, 15082368), (3801, 14880000), (3840, 14728875), (3875, 14595840), (3906, 14480000), (3968, 14253750), (4000, 14139720), (4032, 14027500), (4200, 13466400), (4340, 13032000), (4344, 13020000), (4375, 12927744), (4464, 12670000), (4480, 12624750), (4500, 12568640), (4525, 12499200), (4650, 12163200), (4800, 11783100), (4960, 11403000), (5000, 11311776), (5040, 11222000), (5068, 11160000), (5208, 10860000), (5250, 10773120), (5376, 10520625), (5425, 10425600), (5430, 10416000), (5580, 10136000), (5600, 10099800), (5611, 10080000), (5625, 10054912), (5760, 9819250), (5792, 9765000), (5952, 9502500), (6000, 9426480), (6200, 9122400), (6300, 8977600), (6335, 8928000), (6400, 8837325), (6510, 8688000), (6516, 8680000), (6720, 8416500), (6944, 8145000), (6975, 8108800), (7000, 8079840), (7200, 7855400), (7240, 7812000), (7440, 7602000), (7500, 7541184), (7602, 7440000), (7750, 7297920), (7812, 7240000), (7875, 7182080), (7936, 7126875), (8000, 7069860), (8064, 7013750), (8145, 6944000), (8400, 6733200), (8680, 6516000), (8688, 6510000), (8750, 6463872), (8928, 6335000), (8960, 6312375), (9000, 6284320), (9050, 6249600), (9300, 6081600), (9600, 5891550), (9765, 5792000), (9920, 5701500), (10000, 5655888), (10080, 5611000), (10136, 5580000), (10416, 5430000), (10500, 5386560), (10850, 5212800), (10860, 5208000), (11160, 5068000), (11200, 5049900), (11222, 5040000), (11250, 5027456), (11403, 4960000), (11520, 4909625), (11584, 4882500), (11625, 4865280), (11904, 4751250), (12000, 4713240), (12400, 4561200), (12600, 4488800), (12670, 4464000), (13020, 4344000), (13032, 4340000), (13125, 4309248), (13440, 4208250), (13575, 4166400), (13888, 4072500), (13950, 4054400), (14000, 4039920), (14400, 3927700), (14480, 3906000), (14880, 3801000), (15000, 3770592), (15204, 3720000), (15500, 3648960), (15624, 3620000), (15750, 3591040), (16000, 3534930), (16128, 3506875), (16275, 3475200), (16290, 3472000), (16800, 3366600), (16833, 3360000), (17360, 3258000), (17376, 3255000), (17500, 3231936), (17856, 3167500), (18000, 3142160), (18100, 3124800), (18600, 3040800), (19005, 2976000), (19200, 2945775), (19375, 2919168), (19530, 2896000), (19840, 2850750), (20000, 2827944), (20160, 2805500), (20272, 2790000), (20832, 2715000), (21000, 2693280), (21700, 2606400), (21720, 2604000), (22320, 2534000), (22400, 2524950), (22444, 2520000), (22500, 2513728), (22625, 2499840), (22806, 2480000), (23168, 2441250), (23250, 2432640), (23808, 2375625), (24000, 2356620), (24800, 2280600), (25200, 2244400), (25340, 2232000), (26040, 2172000), (26064, 2170000), (26250, 2154624), (26880, 2104125), (27125, 2085120), (27150, 2083200), (27776, 2036250), (27900, 2027200), (28000, 2019960), (28055, 2016000), (28800, 1963850), (28960, 1953000), (29760, 1900500), (30000, 1885296), (30408, 1860000), (31000, 1824480), (31248, 1810000), (31500, 1795520), (31675, 1785600), (32000, 1767465), (32550, 1737600), (32580, 1736000), (33600, 1683300), (33666, 1680000), (34720, 1629000), (34752, 1627500), (34875, 1621760), (35000, 1615968), (35712, 1583750), (36000, 1571080), (36200, 1562400), (37200, 1520400), (38010, 1488000), (38750, 1459584), (39060, 1448000), (39277, 1440000), (39375, 1436416), (39680, 1425375), (40000, 1413972), (40320, 1402750), (40544, 1395000), (40725, 1388800), (41664, 1357500), (42000, 1346640), (43400, 1303200), (43440, 1302000), (44640, 1267000), (44800, 1262475), (44888, 1260000), (45000, 1256864), (45250, 1249920), (45612, 1240000), (46336, 1220625), (46500, 1216320), (48000, 1178310), (48825, 1158400), (49600, 1140300), (50400, 1122200), (50499, 1120000), (50680, 1116000), (52080, 1086000), (52128, 1085000), (52500, 1077312), (54250, 1042560), (54300, 1041600), (55552, 1018125), (55800, 1013600), (56000, 1009980), (56110, 1008000), (57015, 992000), (57600, 981925), (57920, 976500), (58125, 973056), (59520, 950250), (60000, 942648), (60816, 930000), (62000, 912240), (62496, 905000), (63000, 897760), (63350, 892800), (65100, 868800), (65160, 868000), (67200, 841650), (67332, 840000), (67875, 833280), (69440, 814500), (69504, 813750), (69750, 810880), (70000, 807984), (71424, 791875), (72000, 785540), (72400, 781200), (74400, 760200), (76020, 744000), (77500, 729792), (78120, 724000), (78554, 720000), (78750, 718208), (80000, 706986), (80640, 701375), (81088, 697500), (81375, 695040), (81450, 694400), (83328, 678750), (84000, 673320), (84165, 672000), (86800, 651600), (86880, 651000), (89280, 633500), (89776, 630000), (90000, 628432), (90500, 624960), (91224, 620000), (93000, 608160), (95025, 595200), (96000, 589155), (97650, 579200), (99200, 570150), (100800, 561100), (100998, 560000), (101360, 558000), (104160, 543000), (104256, 542500), (105000, 538656), (108500, 521280), (108600, 520800), (111600, 506800), (112000, 504990), (112220, 504000), (113125, 499968), (114030, 496000), (115840, 488250), (116250, 486528), (117831, 480000), (119040, 475125), (120000, 471324), (121632, 465000), (124000, 456120), (124992, 452500), (126000, 448880), (126700, 446400), (130200, 434400), (130320, 434000), (134400, 420825), (134664, 420000), (135625, 417024), (135750, 416640), (138880, 407250), (139008, 406875), (139500, 405440), (140000, 403992), (140275, 403200), (144000, 392770), (144800, 390600), (148800, 380100), (152040, 372000), (155000, 364896), (156240, 362000), (157108, 360000), (157500, 359104), (158375, 357120), (160000, 353493), (162176, 348750), (162750, 347520), (162900, 347200), (166656, 339375), (168000, 336660), (168330, 336000), (173600, 325800), (173760, 325500), (174375, 324352), (178560, 316750), (179552, 315000), (180000, 314216), (181000, 312480), (182448, 310000), (186000, 304080), (190050, 297600), (195300, 289600), (196385, 288000), (198400, 285075), (201600, 280550), (201996, 280000), (202720, 279000), (203625, 277760), (208320, 271500), (208512, 271250), (210000, 269328), (217000, 260640), (217200, 260400), (223200, 253400), (224000, 252495), (224440, 252000), (226250, 249984), (228060, 248000), (231680, 244125), (232500, 243264), (235662, 240000)]