30862944000

素因数分解:

$2^8\times 3^9\times 5^3\times 7^2$

素因数の和:72

約数の個数: 1080

約数和(自身を含む): 134151505488

約数和(自身を除く): 103288561488

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, 32, 35, 36, 40, 42, 45, 48, 49, 50, 54, 56, 60, 63, 64, 70, 72, 75, 80, 81, 84, 90, 96, 98, 100, 105, 108, 112, 120, 125, 126, 128, 135, 140, 144, 147, 150, 160, 162, 168, 175, 180, 189, 192, 196, 200, 210, 216, 224, 225, 240, 243, 245, 250, 252, 256, 270, 280, 288, 294, 300, 315, 320, 324, 336, 350, 360, 375, 378, 384, 392, 400, 405, 420, 432, 441, 448, 450, 480, 486, 490, 500, 504, 525, 540, 560, 567, 576, 588, 600, 630, 640, 648, 672, 675, 700, 720, 729, 735, 750, 756, 768, 784, 800, 810, 840, 864, 875, 882, 896, 900, 945, 960, 972, 980, 1000, 1008, 1050, 1080, 1120, 1125, 1134, 1152, 1176, 1200, 1215, 1225, 1260, 1280, 1296, 1323, 1344, 1350, 1400, 1440, 1458, 1470, 1500, 1512, 1568, 1575, 1600, 1620, 1680, 1701, 1728, 1750, 1764, 1792, 1800, 1890, 1920, 1944, 1960, 2000, 2016, 2025, 2100, 2160, 2187, 2205, 2240, 2250, 2268, 2304, 2352, 2400, 2430, 2450, 2520, 2592, 2625, 2646, 2688, 2700, 2800, 2835, 2880, 2916, 2940, 3000, 3024, 3136, 3150, 3200, 3240, 3360, 3375, 3402, 3456, 3500, 3528, 3600, 3645, 3675, 3780, 3840, 3888, 3920, 3969, 4000, 4032, 4050, 4200, 4320, 4374, 4410, 4480, 4500, 4536, 4704, 4725, 4800, 4860, 4900, 5040, 5103, 5184, 5250, 5292, 5376, 5400, 5600, 5670, 5760, 5832, 5880, 6000, 6048, 6075, 6125, 6272, 6300, 6400, 6480, 6561, 6615, 6720, 6750, 6804, 6912, 7000, 7056, 7200, 7290, 7350, 7560, 7776, 7840, 7875, 7938, 8000, 8064, 8100, 8400, 8505, 8640, 8748, 8820, 8960, 9000, 9072, 9408, 9450, 9600, 9720, 9800, 10080, 10125, 10206, 10368, 10500, 10584, 10800, 10935, 11025, 11200, 11340, 11520, 11664, 11760, 11907, 12000, 12096, 12150, 12250, 12544, 12600, 12960, 13122, 13230, 13440, 13500, 13608, 14000, 14112, 14175, 14400, 14580, 14700, 15120, 15309, 15552, 15680, 15750, 15876, 16000, 16128, 16200, 16800, 17010, 17280, 17496, 17640, 18000, 18144, 18225, 18375, 18816, 18900, 19200, 19440, 19600, 19683, 19845, 20160, 20250, 20412, 20736, 21000, 21168, 21600, 21870, 22050, 22400, 22680, 23328, 23520, 23625, 23814, 24000, 24192, 24300, 24500, 25200, 25515, 25920, 26244, 26460, 26880, 27000, 27216, 28000, 28224, 28350, 28800, 29160, 29400, 30240, 30375, 30618, 31104, 31360, 31500, 31752, 32000, 32400, 32805, 33075, 33600, 34020, 34560, 34992, 35280, 35721, 36000, 36288, 36450, 36750, 37632, 37800, 38880, 39200, 39366, 39690, 40320, 40500, 40824, 42000, 42336, 42525, 43200, 43740, 44100, 44800, 45360, 45927, 46656, 47040, 47250, 47628, 48000, 48384, 48600, 49000, 50400, 51030, 51840, 52488, 52920, 54000, 54432, 54675, 55125, 56000, 56448, 56700, 57600, 58320, 58800, 59535, 60480, 60750, 61236, 62208, 62720, 63000, 63504, 64800, 65610, 66150, 67200, 68040, 69984, 70560, 70875, 71442, 72000, 72576, 72900, 73500, 75600, 76545, 77760, 78400, 78732, 79380, 80640, 81000, 81648, 84000, 84672, 85050, 86400, 87480, 88200, 90720, 91125, 91854, 93312, 94080, 94500, 95256, 96000, 97200, 98000, 98415, 99225, 100800, 102060, 103680, 104976, 105840, 107163, 108000, 108864, 109350, 110250, 112000, 112896, 113400, 116640, 117600, 119070, 120960, 121500, 122472, 126000, 127008, 127575, 129600, 131220, 132300, 134400, 136080, 137781, 139968, 141120, 141750, 142884, 144000, 145152, 145800, 147000, 151200, 153090, 155520, 156800, 157464, 158760, 162000, 163296, 164025, 165375, 168000, 169344, 170100, 172800, 174960, 176400, 178605, 181440, 182250, 183708, 186624, 188160, 189000, 190512, 194400, 196000, 196830, 198450, 201600, 204120, 209952, 211680, 212625, 214326, 216000, 217728, 218700, 220500, 224000, 226800, 229635, 233280, 235200, 238140, 241920, 243000, 244944, 252000, 254016, 255150, 259200, 262440, 264600, 272160, 273375, 275562, 279936, 282240, 283500, 285768, 288000, 291600, 294000, 297675, 302400, 306180, 311040, 313600, 314928, 317520, 321489, 324000, 326592, 328050, 330750, 336000, 338688, 340200, 349920, 352800, 357210, 362880, 364500, 367416, 378000, 381024, 382725, 388800, 392000, 393660, 396900, 403200, 408240, 419904, 423360, 425250, 428652, 432000, 435456, 437400, 441000, 453600, 459270, 466560, 470400, 476280, 486000, 489888, 492075, 496125, 504000, 508032, 510300, 518400, 524880, 529200, 535815, 544320, 546750, 551124, 559872, 564480, 567000, 571536, 583200, 588000, 595350, 604800, 612360, 629856, 635040, 637875, 642978, 648000, 653184, 656100, 661500, 672000, 680400, 688905, 699840, 705600, 714420, 725760, 729000, 734832, 756000, 762048, 765450, 777600, 784000, 787320, 793800, 816480, 820125, 839808, 846720, 850500, 857304, 864000, 874800, 882000, 893025, 907200, 918540, 933120, 940800, 952560, 964467, 972000, 979776, 984150, 992250, 1008000, 1016064, 1020600, 1049760, 1058400, 1071630, 1088640, 1093500, 1102248, 1134000, 1143072, 1148175, 1166400, 1176000, 1190700, 1209600, 1224720, 1259712, 1270080, 1275750, 1285956, 1296000, 1306368, 1312200, 1323000, 1360800, 1377810, 1399680, 1411200, 1428840, 1458000, 1469664, 1488375, 1512000, 1524096, 1530900, 1555200, 1568000, 1574640, 1587600, 1607445, 1632960, 1640250, 1679616, 1693440, 1701000, 1714608, 1749600, 1764000, 1786050, 1814400, 1837080, 1905120, 1913625, 1928934, 1944000, 1959552, 1968300, 1984500, 2016000, 2041200, 2099520, 2116800, 2143260, 2177280, 2187000, 2204496, 2268000, 2286144, 2296350, 2332800, 2352000, 2381400, 2449440, 2460375, 2519424, 2540160, 2551500, 2571912, 2592000, 2624400, 2646000, 2679075, 2721600, 2755620, 2799360, 2822400, 2857680, 2916000, 2939328, 2976750, 3024000, 3048192, 3061800, 3149280, 3175200, 3214890, 3265920, 3280500, 3402000, 3429216, 3444525, 3499200, 3528000, 3572100, 3628800, 3674160, 3810240, 3827250, 3857868, 3888000, 3919104, 3936600, 3969000, 4082400, 4199040, 4233600, 4286520, 4374000, 4408992, 4465125, 4536000, 4572288, 4592700, 4665600, 4704000, 4762800, 4822335, 4898880, 4920750, 5038848, 5080320, 5103000, 5143824, 5248800, 5292000, 5358150, 5443200, 5511240, 5715360, 5740875, 5832000, 5878656, 5953500, 6048000, 6123600, 6298560, 6350400, 6429780, 6531840, 6561000, 6804000, 6858432, 6889050, 6998400, 7056000, 7144200, 7348320, 7620480, 7654500, 7715736, 7776000, 7873200, 7938000, 8037225, 8164800, 8398080, 8467200, 8573040, 8748000, 8817984, 8930250, 9072000, 9144576, 9185400, 9525600, 9644670, 9797760, 9841500, 10206000, 10287648, 10497600, 10584000, 10716300, 10886400, 11022480, 11430720, 11481750, 11664000, 11757312, 11907000, 12247200, 12597120, 12700800, 12859560, 13122000, 13395375, 13608000, 13716864, 13778100, 13996800, 14112000, 14288400, 14696640, 15240960, 15309000, 15431472, 15746400, 15876000, 16074450, 16329600, 17146080, 17222625, 17496000, 17635968, 17860500, 18144000, 18370800, 19051200, 19289340, 19595520, 19683000, 20412000, 20575296, 20995200, 21168000, 21432600, 22044960, 22861440, 22963500, 23328000, 23814000, 24111675, 24494400, 25194240, 25401600, 25719120, 26244000, 26790750, 27216000, 27433728, 27556200, 28576800, 29393280, 30618000, 30862944, 31492800, 31752000, 32148900, 32659200, 34292160, 34445250, 34992000, 35271936, 35721000, 36741600, 38102400, 38578680, 39366000, 40186125, 40824000, 41150592, 41990400, 42336000, 42865200, 44089920, 45722880, 45927000, 47628000, 48223350, 48988800, 51438240, 52488000, 53581500, 54432000, 55112400, 57153600, 58786560, 61236000, 61725888, 62985600, 63504000, 64297800, 68584320, 68890500, 69984000, 71442000, 73483200, 76204800, 77157360, 78732000, 80372250, 81648000, 82301184, 85730400, 88179840, 91854000, 95256000, 96446700, 97977600, 102876480, 104976000, 107163000, 110224800, 114307200, 120558375, 122472000, 123451776, 125971200, 127008000, 128595600, 137168640, 137781000, 142884000, 146966400, 154314720, 157464000, 160744500, 163296000, 171460800, 176359680, 183708000, 190512000, 192893400, 205752960, 209952000, 214326000, 220449600, 228614400, 241116750, 244944000, 246903552, 257191200, 275562000, 285768000, 293932800, 308629440, 314928000, 321489000, 342921600, 367416000, 381024000, 385786800, 411505920, 428652000, 440899200, 482233500, 489888000, 514382400, 551124000, 571536000, 617258880, 629856000, 642978000, 685843200, 734832000, 771573600, 857304000, 881798400, 964467000, 1028764800, 1102248000, 1143072000, 1234517760, 1285956000, 1469664000, 1543147200, 1714608000, 1928934000, 2057529600, 2204496000, 2571912000, 3086294400, 3429216000, 3857868000, 4408992000, 5143824000, 6172588800, 7715736000, 10287648000, 15431472000, 30862944000]

約数ペア:

[(1, 30862944000), (2, 15431472000), (3, 10287648000), (4, 7715736000), (5, 6172588800), (6, 5143824000), (7, 4408992000), (8, 3857868000), (9, 3429216000), (10, 3086294400), (12, 2571912000), (14, 2204496000), (15, 2057529600), (16, 1928934000), (18, 1714608000), (20, 1543147200), (21, 1469664000), (24, 1285956000), (25, 1234517760), (27, 1143072000), (28, 1102248000), (30, 1028764800), (32, 964467000), (35, 881798400), (36, 857304000), (40, 771573600), (42, 734832000), (45, 685843200), (48, 642978000), (49, 629856000), (50, 617258880), (54, 571536000), (56, 551124000), (60, 514382400), (63, 489888000), (64, 482233500), (70, 440899200), (72, 428652000), (75, 411505920), (80, 385786800), (81, 381024000), (84, 367416000), (90, 342921600), (96, 321489000), (98, 314928000), (100, 308629440), (105, 293932800), (108, 285768000), (112, 275562000), (120, 257191200), (125, 246903552), (126, 244944000), (128, 241116750), (135, 228614400), (140, 220449600), (144, 214326000), (147, 209952000), (150, 205752960), (160, 192893400), (162, 190512000), (168, 183708000), (175, 176359680), (180, 171460800), (189, 163296000), (192, 160744500), (196, 157464000), (200, 154314720), (210, 146966400), (216, 142884000), (224, 137781000), (225, 137168640), (240, 128595600), (243, 127008000), (245, 125971200), (250, 123451776), (252, 122472000), (256, 120558375), (270, 114307200), (280, 110224800), (288, 107163000), (294, 104976000), (300, 102876480), (315, 97977600), (320, 96446700), (324, 95256000), (336, 91854000), (350, 88179840), (360, 85730400), (375, 82301184), (378, 81648000), (384, 80372250), (392, 78732000), (400, 77157360), (405, 76204800), (420, 73483200), (432, 71442000), (441, 69984000), (448, 68890500), (450, 68584320), (480, 64297800), (486, 63504000), (490, 62985600), (500, 61725888), (504, 61236000), (525, 58786560), (540, 57153600), (560, 55112400), (567, 54432000), (576, 53581500), (588, 52488000), (600, 51438240), (630, 48988800), (640, 48223350), (648, 47628000), (672, 45927000), (675, 45722880), (700, 44089920), (720, 42865200), (729, 42336000), (735, 41990400), (750, 41150592), (756, 40824000), (768, 40186125), (784, 39366000), (800, 38578680), (810, 38102400), (840, 36741600), (864, 35721000), (875, 35271936), (882, 34992000), (896, 34445250), (900, 34292160), (945, 32659200), (960, 32148900), (972, 31752000), (980, 31492800), (1000, 30862944), (1008, 30618000), (1050, 29393280), (1080, 28576800), (1120, 27556200), (1125, 27433728), (1134, 27216000), (1152, 26790750), (1176, 26244000), (1200, 25719120), (1215, 25401600), (1225, 25194240), (1260, 24494400), (1280, 24111675), (1296, 23814000), (1323, 23328000), (1344, 22963500), (1350, 22861440), (1400, 22044960), (1440, 21432600), (1458, 21168000), (1470, 20995200), (1500, 20575296), (1512, 20412000), (1568, 19683000), (1575, 19595520), (1600, 19289340), (1620, 19051200), (1680, 18370800), (1701, 18144000), (1728, 17860500), (1750, 17635968), (1764, 17496000), (1792, 17222625), (1800, 17146080), (1890, 16329600), (1920, 16074450), (1944, 15876000), (1960, 15746400), (2000, 15431472), (2016, 15309000), (2025, 15240960), (2100, 14696640), (2160, 14288400), (2187, 14112000), (2205, 13996800), (2240, 13778100), (2250, 13716864), (2268, 13608000), (2304, 13395375), (2352, 13122000), (2400, 12859560), (2430, 12700800), (2450, 12597120), (2520, 12247200), (2592, 11907000), (2625, 11757312), (2646, 11664000), (2688, 11481750), (2700, 11430720), (2800, 11022480), (2835, 10886400), (2880, 10716300), (2916, 10584000), (2940, 10497600), (3000, 10287648), (3024, 10206000), (3136, 9841500), (3150, 9797760), (3200, 9644670), (3240, 9525600), (3360, 9185400), (3375, 9144576), (3402, 9072000), (3456, 8930250), (3500, 8817984), (3528, 8748000), (3600, 8573040), (3645, 8467200), (3675, 8398080), (3780, 8164800), (3840, 8037225), (3888, 7938000), (3920, 7873200), (3969, 7776000), (4000, 7715736), (4032, 7654500), (4050, 7620480), (4200, 7348320), (4320, 7144200), (4374, 7056000), (4410, 6998400), (4480, 6889050), (4500, 6858432), (4536, 6804000), (4704, 6561000), (4725, 6531840), (4800, 6429780), (4860, 6350400), (4900, 6298560), (5040, 6123600), (5103, 6048000), (5184, 5953500), (5250, 5878656), (5292, 5832000), (5376, 5740875), (5400, 5715360), (5600, 5511240), (5670, 5443200), (5760, 5358150), (5832, 5292000), (5880, 5248800), (6000, 5143824), (6048, 5103000), (6075, 5080320), (6125, 5038848), (6272, 4920750), (6300, 4898880), (6400, 4822335), (6480, 4762800), (6561, 4704000), (6615, 4665600), (6720, 4592700), (6750, 4572288), (6804, 4536000), (6912, 4465125), (7000, 4408992), (7056, 4374000), (7200, 4286520), (7290, 4233600), (7350, 4199040), (7560, 4082400), (7776, 3969000), (7840, 3936600), (7875, 3919104), (7938, 3888000), (8000, 3857868), (8064, 3827250), (8100, 3810240), (8400, 3674160), (8505, 3628800), (8640, 3572100), (8748, 3528000), (8820, 3499200), (8960, 3444525), (9000, 3429216), (9072, 3402000), (9408, 3280500), (9450, 3265920), (9600, 3214890), (9720, 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(19440, 1587600), (19600, 1574640), (19683, 1568000), (19845, 1555200), (20160, 1530900), (20250, 1524096), (20412, 1512000), (20736, 1488375), (21000, 1469664), (21168, 1458000), (21600, 1428840), (21870, 1411200), (22050, 1399680), (22400, 1377810), (22680, 1360800), (23328, 1323000), (23520, 1312200), (23625, 1306368), (23814, 1296000), (24000, 1285956), (24192, 1275750), (24300, 1270080), (24500, 1259712), (25200, 1224720), (25515, 1209600), (25920, 1190700), (26244, 1176000), (26460, 1166400), (26880, 1148175), (27000, 1143072), (27216, 1134000), (28000, 1102248), (28224, 1093500), (28350, 1088640), (28800, 1071630), (29160, 1058400), (29400, 1049760), (30240, 1020600), (30375, 1016064), (30618, 1008000), (31104, 992250), (31360, 984150), (31500, 979776), (31752, 972000), (32000, 964467), (32400, 952560), (32805, 940800), (33075, 933120), (33600, 918540), (34020, 907200), (34560, 893025), (34992, 882000), (35280, 874800), (35721, 864000), (36000, 857304), (36288, 850500), (36450, 846720), (36750, 839808), (37632, 820125), (37800, 816480), (38880, 793800), (39200, 787320), (39366, 784000), (39690, 777600), (40320, 765450), (40500, 762048), (40824, 756000), (42000, 734832), (42336, 729000), (42525, 725760), (43200, 714420), (43740, 705600), (44100, 699840), (44800, 688905), (45360, 680400), (45927, 672000), (46656, 661500), (47040, 656100), (47250, 653184), (47628, 648000), (48000, 642978), (48384, 637875), (48600, 635040), (49000, 629856), (50400, 612360), (51030, 604800), (51840, 595350), (52488, 588000), (52920, 583200), (54000, 571536), (54432, 567000), (54675, 564480), (55125, 559872), (56000, 551124), (56448, 546750), (56700, 544320), (57600, 535815), (58320, 529200), (58800, 524880), (59535, 518400), (60480, 510300), (60750, 508032), (61236, 504000), (62208, 496125), (62720, 492075), (63000, 489888), (63504, 486000), (64800, 476280), (65610, 470400), (66150, 466560), (67200, 459270), (68040, 453600), (69984, 441000), (70560, 437400), (70875, 435456), (71442, 432000), (72000, 428652), (72576, 425250), (72900, 423360), (73500, 419904), (75600, 408240), (76545, 403200), (77760, 396900), (78400, 393660), (78732, 392000), (79380, 388800), (80640, 382725), (81000, 381024), (81648, 378000), (84000, 367416), (84672, 364500), (85050, 362880), (86400, 357210), (87480, 352800), (88200, 349920), (90720, 340200), (91125, 338688), (91854, 336000), (93312, 330750), (94080, 328050), (94500, 326592), (95256, 324000), (96000, 321489), (97200, 317520), (98000, 314928), (98415, 313600), (99225, 311040), (100800, 306180), (102060, 302400), (103680, 297675), (104976, 294000), (105840, 291600), (107163, 288000), (108000, 285768), (108864, 283500), (109350, 282240), (110250, 279936), (112000, 275562), (112896, 273375), (113400, 272160), (116640, 264600), (117600, 262440), (119070, 259200), (120960, 255150), (121500, 254016), (122472, 252000), (126000, 244944), (127008, 243000), (127575, 241920), (129600, 238140), (131220, 235200), (132300, 233280), (134400, 229635), (136080, 226800), (137781, 224000), (139968, 220500), (141120, 218700), (141750, 217728), (142884, 216000), (144000, 214326), (145152, 212625), (145800, 211680), (147000, 209952), (151200, 204120), (153090, 201600), (155520, 198450), (156800, 196830), (157464, 196000), (158760, 194400), (162000, 190512), (163296, 189000), (164025, 188160), (165375, 186624), (168000, 183708), (169344, 182250), (170100, 181440), (172800, 178605), (174960, 176400)]