59460480000

素因数分解:

$2^{10}\times 3^4\times 5^4\times {\mathrm{31}}^1\times {\mathrm{37}}^1$

素因数の和:120

約数の個数: 1100

約数和(自身を含む): 235227353152

約数和(自身を除く): 175766873152

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 31, 32, 36, 37, 40, 45, 48, 50, 54, 60, 62, 64, 72, 74, 75, 80, 81, 90, 93, 96, 100, 108, 111, 120, 124, 125, 128, 135, 144, 148, 150, 155, 160, 162, 180, 185, 186, 192, 200, 216, 222, 225, 240, 248, 250, 256, 270, 279, 288, 296, 300, 310, 320, 324, 333, 360, 370, 372, 375, 384, 400, 405, 432, 444, 450, 465, 480, 496, 500, 512, 540, 555, 558, 576, 592, 600, 620, 625, 640, 648, 666, 675, 720, 740, 744, 750, 768, 775, 800, 810, 837, 864, 888, 900, 925, 930, 960, 992, 999, 1000, 1024, 1080, 1110, 1116, 1125, 1147, 1152, 1184, 1200, 1240, 1250, 1280, 1296, 1332, 1350, 1395, 1440, 1480, 1488, 1500, 1536, 1550, 1600, 1620, 1665, 1674, 1728, 1776, 1800, 1850, 1860, 1875, 1920, 1984, 1998, 2000, 2025, 2160, 2220, 2232, 2250, 2294, 2304, 2325, 2368, 2400, 2480, 2500, 2511, 2560, 2592, 2664, 2700, 2775, 2790, 2880, 2960, 2976, 2997, 3000, 3072, 3100, 3200, 3240, 3330, 3348, 3375, 3441, 3456, 3552, 3600, 3700, 3720, 3750, 3840, 3875, 3968, 3996, 4000, 4050, 4185, 4320, 4440, 4464, 4500, 4588, 4608, 4625, 4650, 4736, 4800, 4960, 4995, 5000, 5022, 5120, 5184, 5328, 5400, 5550, 5580, 5625, 5735, 5760, 5920, 5952, 5994, 6000, 6200, 6400, 6480, 6660, 6696, 6750, 6882, 6912, 6975, 7104, 7200, 7400, 7440, 7500, 7680, 7750, 7936, 7992, 8000, 8100, 8325, 8370, 8640, 8880, 8928, 9000, 9176, 9216, 9250, 9300, 9472, 9600, 9920, 9990, 10000, 10044, 10125, 10323, 10368, 10656, 10800, 11100, 11160, 11250, 11470, 11520, 11625, 11840, 11904, 11988, 12000, 12400, 12555, 12800, 12960, 13320, 13392, 13500, 13764, 13824, 13875, 13950, 14208, 14400, 14800, 14880, 14985, 15000, 15360, 15500, 15872, 15984, 16000, 16200, 16650, 16740, 16875, 17205, 17280, 17760, 17856, 18000, 18352, 18500, 18600, 18944, 19200, 19375, 19840, 19980, 20000, 20088, 20250, 20646, 20736, 20925, 21312, 21600, 22200, 22320, 22500, 22940, 23040, 23125, 23250, 23680, 23808, 23976, 24000, 24800, 24975, 25110, 25600, 25920, 26640, 26784, 27000, 27528, 27648, 27750, 27900, 28416, 28675, 28800, 29600, 29760, 29970, 30000, 30969, 31000, 31744, 31968, 32000, 32400, 33300, 33480, 33750, 34410, 34560, 34875, 35520, 35712, 36000, 36704, 37000, 37200, 37888, 38400, 38750, 39680, 39960, 40000, 40176, 40500, 41292, 41472, 41625, 41850, 42624, 43200, 44400, 44640, 45000, 45880, 46080, 46250, 46500, 47360, 47616, 47952, 48000, 49600, 49950, 50220, 50625, 51615, 51840, 53280, 53568, 54000, 55056, 55500, 55800, 56832, 57350, 57600, 58125, 59200, 59520, 59940, 60000, 61938, 62000, 62775, 63936, 64000, 64800, 66600, 66960, 67500, 68820, 69120, 69375, 69750, 71040, 71424, 72000, 73408, 74000, 74400, 74925, 76800, 77500, 79360, 79920, 80000, 80352, 81000, 82584, 82944, 83250, 83700, 85248, 86025, 86400, 88800, 89280, 90000, 91760, 92500, 92907, 93000, 94720, 95232, 95904, 96000, 99200, 99900, 100440, 101250, 103230, 103680, 104625, 106560, 107136, 108000, 110112, 111000, 111600, 113664, 114700, 115200, 116250, 118400, 119040, 119880, 120000, 123876, 124000, 124875, 125550, 127872, 128000, 129600, 133200, 133920, 135000, 137640, 138240, 138750, 139500, 142080, 142848, 143375, 144000, 146816, 148000, 148800, 149850, 154845, 155000, 158720, 159840, 160000, 160704, 162000, 165168, 166500, 167400, 170496, 172050, 172800, 174375, 177600, 178560, 180000, 183520, 185000, 185814, 186000, 189440, 191808, 192000, 198400, 199800, 200880, 202500, 206460, 207360, 208125, 209250, 213120, 214272, 216000, 220224, 222000, 223200, 229400, 230400, 232500, 236800, 238080, 239760, 240000, 247752, 248000, 249750, 251100, 255744, 258075, 259200, 266400, 267840, 270000, 275280, 277500, 279000, 284160, 285696, 286750, 288000, 293632, 296000, 297600, 299700, 309690, 310000, 313875, 319680, 320000, 321408, 324000, 330336, 333000, 334800, 340992, 344100, 345600, 348750, 355200, 357120, 360000, 367040, 370000, 371628, 372000, 374625, 383616, 384000, 396800, 399600, 401760, 405000, 412920, 414720, 416250, 418500, 426240, 428544, 430125, 432000, 440448, 444000, 446400, 458800, 464535, 465000, 473600, 476160, 479520, 480000, 495504, 496000, 499500, 502200, 511488, 516150, 518400, 523125, 532800, 535680, 540000, 550560, 555000, 558000, 568320, 573500, 576000, 587264, 592000, 595200, 599400, 619380, 620000, 624375, 627750, 639360, 640000, 642816, 648000, 660672, 666000, 669600, 688200, 691200, 697500, 710400, 714240, 716875, 720000, 734080, 740000, 743256, 744000, 749250, 767232, 774225, 793600, 799200, 803520, 810000, 825840, 832500, 837000, 852480, 857088, 860250, 864000, 880896, 888000, 892800, 917600, 929070, 930000, 947200, 959040, 960000, 991008, 992000, 999000, 1004400, 1022976, 1032300, 1036800, 1046250, 1065600, 1071360, 1080000, 1101120, 1110000, 1116000, 1147000, 1152000, 1174528, 1184000, 1190400, 1198800, 1238760, 1240000, 1248750, 1255500, 1278720, 1285632, 1290375, 1296000, 1321344, 1332000, 1339200, 1376400, 1395000, 1420800, 1428480, 1433750, 1440000, 1468160, 1480000, 1486512, 1488000, 1498500, 1534464, 1548450, 1569375, 1598400, 1607040, 1620000, 1651680, 1665000, 1674000, 1704960, 1720500, 1728000, 1761792, 1776000, 1785600, 1835200, 1858140, 1860000, 1873125, 1918080, 1920000, 1982016, 1984000, 1998000, 2008800, 2064600, 2073600, 2092500, 2131200, 2142720, 2150625, 2160000, 2202240, 2220000, 2232000, 2294000, 2322675, 2368000, 2380800, 2397600, 2477520, 2480000, 2497500, 2511000, 2557440, 2571264, 2580750, 2592000, 2642688, 2664000, 2678400, 2752800, 2790000, 2841600, 2867500, 2880000, 2936320, 2960000, 2973024, 2976000, 2997000, 3068928, 3096900, 3138750, 3196800, 3214080, 3240000, 3303360, 3330000, 3348000, 3441000, 3456000, 3523584, 3552000, 3571200, 3670400, 3716280, 3720000, 3746250, 3836160, 3871125, 3964032, 3968000, 3996000, 4017600, 4129200, 4185000, 4262400, 4285440, 4301250, 4320000, 4404480, 4440000, 4464000, 4588000, 4645350, 4736000, 4795200, 4955040, 4960000, 4995000, 5022000, 5114880, 5161500, 5184000, 5285376, 5328000, 5356800, 5505600, 5580000, 5735000, 5760000, 5872640, 5920000, 5946048, 5952000, 5994000, 6193800, 6277500, 6393600, 6428160, 6451875, 6480000, 6606720, 6660000, 6696000, 6882000, 7104000, 7142400, 7340800, 7432560, 7440000, 7492500, 7672320, 7742250, 7928064, 7992000, 8035200, 8258400, 8370000, 8524800, 8602500, 8640000, 8808960, 8880000, 8928000, 9176000, 9290700, 9590400, 9910080, 9920000, 9990000, 10044000, 10323000, 10368000, 10570752, 10656000, 10713600, 11011200, 11160000, 11470000, 11613375, 11840000, 11892096, 11904000, 11988000, 12387600, 12555000, 12787200, 12856320, 12903750, 12960000, 13213440, 13320000, 13392000, 13764000, 14208000, 14681600, 14865120, 14880000, 14985000, 15344640, 15484500, 15856128, 15984000, 16070400, 16516800, 16740000, 17205000, 17280000, 17617920, 17760000, 17856000, 18352000, 18581400, 19180800, 19355625, 19820160, 19840000, 19980000, 20088000, 20646000, 21312000, 21427200, 22022400, 22320000, 22940000, 23226750, 23680000, 23784192, 23976000, 24775200, 25110000, 25574400, 25807500, 25920000, 26426880, 26640000, 26784000, 27528000, 29363200, 29730240, 29760000, 29970000, 30969000, 31712256, 31968000, 32140800, 33033600, 33480000, 34410000, 35520000, 35712000, 36704000, 37162800, 38361600, 38711250, 39640320, 39960000, 40176000, 41292000, 42624000, 44044800, 44640000, 45880000, 46453500, 47568384, 47952000, 49550400, 50220000, 51615000, 51840000, 52853760, 53280000, 53568000, 55056000, 58066875, 59460480, 59520000, 59940000, 61938000, 63936000, 64281600, 66067200, 66960000, 68820000, 71040000, 73408000, 74325600, 76723200, 77422500, 79280640, 79920000, 80352000, 82584000, 88089600, 89280000, 91760000, 92907000, 95136768, 95904000, 99100800, 100440000, 103230000, 106560000, 107136000, 110112000, 116133750, 118920960, 119880000, 123876000, 127872000, 132134400, 133920000, 137640000, 146816000, 148651200, 154845000, 158561280, 159840000, 160704000, 165168000, 178560000, 183520000, 185814000, 191808000, 198201600, 200880000, 206460000, 213120000, 220224000, 232267500, 237841920, 239760000, 247752000, 264268800, 267840000, 275280000, 297302400, 309690000, 319680000, 321408000, 330336000, 367040000, 371628000, 383616000, 396403200, 401760000, 412920000, 440448000, 464535000, 475683840, 479520000, 495504000, 535680000, 550560000, 594604800, 619380000, 639360000, 660672000, 734080000, 743256000, 792806400, 803520000, 825840000, 929070000, 959040000, 991008000, 1101120000, 1189209600, 1238760000, 1321344000, 1486512000, 1607040000, 1651680000, 1858140000, 1918080000, 1982016000, 2202240000, 2378419200, 2477520000, 2973024000, 3303360000, 3716280000, 3964032000, 4955040000, 5946048000, 6606720000, 7432560000, 9910080000, 11892096000, 14865120000, 19820160000, 29730240000, 59460480000]

約数ペア:

[(1, 59460480000), (2, 29730240000), (3, 19820160000), (4, 14865120000), (5, 11892096000), (6, 9910080000), (8, 7432560000), (9, 6606720000), (10, 5946048000), (12, 4955040000), (15, 3964032000), (16, 3716280000), (18, 3303360000), (20, 2973024000), (24, 2477520000), (25, 2378419200), (27, 2202240000), (30, 1982016000), (31, 1918080000), (32, 1858140000), (36, 1651680000), (37, 1607040000), (40, 1486512000), (45, 1321344000), (48, 1238760000), (50, 1189209600), (54, 1101120000), (60, 991008000), (62, 959040000), (64, 929070000), (72, 825840000), (74, 803520000), (75, 792806400), (80, 743256000), (81, 734080000), (90, 660672000), (93, 639360000), (96, 619380000), (100, 594604800), (108, 550560000), (111, 535680000), (120, 495504000), (124, 479520000), (125, 475683840), (128, 464535000), (135, 440448000), (144, 412920000), (148, 401760000), (150, 396403200), (155, 383616000), (160, 371628000), (162, 367040000), (180, 330336000), (185, 321408000), (186, 319680000), (192, 309690000), (200, 297302400), (216, 275280000), (222, 267840000), (225, 264268800), (240, 247752000), (248, 239760000), (250, 237841920), (256, 232267500), (270, 220224000), (279, 213120000), (288, 206460000), (296, 200880000), (300, 198201600), (310, 191808000), (320, 185814000), (324, 183520000), (333, 178560000), (360, 165168000), (370, 160704000), (372, 159840000), (375, 158561280), (384, 154845000), (400, 148651200), (405, 146816000), (432, 137640000), (444, 133920000), (450, 132134400), (465, 127872000), (480, 123876000), (496, 119880000), (500, 118920960), (512, 116133750), (540, 110112000), (555, 107136000), (558, 106560000), (576, 103230000), (592, 100440000), (600, 99100800), (620, 95904000), (625, 95136768), (640, 92907000), (648, 91760000), (666, 89280000), (675, 88089600), (720, 82584000), (740, 80352000), (744, 79920000), (750, 79280640), (768, 77422500), (775, 76723200), (800, 74325600), (810, 73408000), (837, 71040000), (864, 68820000), (888, 66960000), (900, 66067200), (925, 64281600), (930, 63936000), (960, 61938000), (992, 59940000), (999, 59520000), (1000, 59460480), (1024, 58066875), (1080, 55056000), (1110, 53568000), (1116, 53280000), (1125, 52853760), (1147, 51840000), (1152, 51615000), (1184, 50220000), (1200, 49550400), (1240, 47952000), (1250, 47568384), (1280, 46453500), (1296, 45880000), (1332, 44640000), (1350, 44044800), (1395, 42624000), (1440, 41292000), (1480, 40176000), (1488, 39960000), (1500, 39640320), (1536, 38711250), (1550, 38361600), (1600, 37162800), (1620, 36704000), (1665, 35712000), (1674, 35520000), (1728, 34410000), (1776, 33480000), (1800, 33033600), (1850, 32140800), (1860, 31968000), (1875, 31712256), (1920, 30969000), (1984, 29970000), (1998, 29760000), (2000, 29730240), (2025, 29363200), (2160, 27528000), (2220, 26784000), (2232, 26640000), (2250, 26426880), (2294, 25920000), (2304, 25807500), (2325, 25574400), (2368, 25110000), (2400, 24775200), (2480, 23976000), (2500, 23784192), (2511, 23680000), (2560, 23226750), (2592, 22940000), (2664, 22320000), (2700, 22022400), (2775, 21427200), (2790, 21312000), (2880, 20646000), (2960, 20088000), (2976, 19980000), (2997, 19840000), (3000, 19820160), (3072, 19355625), (3100, 19180800), (3200, 18581400), (3240, 18352000), (3330, 17856000), (3348, 17760000), (3375, 17617920), (3441, 17280000), (3456, 17205000), (3552, 16740000), (3600, 16516800), (3700, 16070400), (3720, 15984000), (3750, 15856128), (3840, 15484500), (3875, 15344640), (3968, 14985000), (3996, 14880000), (4000, 14865120), (4050, 14681600), (4185, 14208000), (4320, 13764000), (4440, 13392000), (4464, 13320000), (4500, 13213440), (4588, 12960000), (4608, 12903750), (4625, 12856320), (4650, 12787200), (4736, 12555000), (4800, 12387600), (4960, 11988000), (4995, 11904000), (5000, 11892096), (5022, 11840000), (5120, 11613375), (5184, 11470000), (5328, 11160000), (5400, 11011200), (5550, 10713600), (5580, 10656000), (5625, 10570752), (5735, 10368000), (5760, 10323000), (5920, 10044000), (5952, 9990000), (5994, 9920000), (6000, 9910080), (6200, 9590400), (6400, 9290700), (6480, 9176000), (6660, 8928000), (6696, 8880000), (6750, 8808960), (6882, 8640000), (6912, 8602500), (6975, 8524800), (7104, 8370000), (7200, 8258400), (7400, 8035200), (7440, 7992000), (7500, 7928064), (7680, 7742250), (7750, 7672320), (7936, 7492500), (7992, 7440000), (8000, 7432560), (8100, 7340800), (8325, 7142400), (8370, 7104000), (8640, 6882000), (8880, 6696000), (8928, 6660000), (9000, 6606720), (9176, 6480000), (9216, 6451875), (9250, 6428160), (9300, 6393600), (9472, 6277500), (9600, 6193800), (9920, 5994000), (9990, 5952000), (10000, 5946048), (10044, 5920000), (10125, 5872640), (10323, 5760000), (10368, 5735000), (10656, 5580000), (10800, 5505600), (11100, 5356800), (11160, 5328000), (11250, 5285376), (11470, 5184000), (11520, 5161500), (11625, 5114880), (11840, 5022000), (11904, 4995000), (11988, 4960000), (12000, 4955040), (12400, 4795200), (12555, 4736000), (12800, 4645350), (12960, 4588000), (13320, 4464000), (13392, 4440000), (13500, 4404480), (13764, 4320000), (13824, 4301250), (13875, 4285440), (13950, 4262400), (14208, 4185000), (14400, 4129200), (14800, 4017600), (14880, 3996000), (14985, 3968000), (15000, 3964032), (15360, 3871125), (15500, 3836160), (15872, 3746250), (15984, 3720000), (16000, 3716280), (16200, 3670400), (16650, 3571200), (16740, 3552000), (16875, 3523584), (17205, 3456000), (17280, 3441000), (17760, 3348000), (17856, 3330000), (18000, 3303360), (18352, 3240000), (18500, 3214080), (18600, 3196800), (18944, 3138750), (19200, 3096900), (19375, 3068928), (19840, 2997000), (19980, 2976000), (20000, 2973024), (20088, 2960000), (20250, 2936320), (20646, 2880000), (20736, 2867500), (20925, 2841600), (21312, 2790000), (21600, 2752800), (22200, 2678400), (22320, 2664000), (22500, 2642688), (22940, 2592000), (23040, 2580750), (23125, 2571264), (23250, 2557440), (23680, 2511000), (23808, 2497500), (23976, 2480000), (24000, 2477520), (24800, 2397600), (24975, 2380800), (25110, 2368000), (25600, 2322675), (25920, 2294000), (26640, 2232000), (26784, 2220000), (27000, 2202240), (27528, 2160000), (27648, 2150625), (27750, 2142720), (27900, 2131200), (28416, 2092500), (28675, 2073600), (28800, 2064600), (29600, 2008800), (29760, 1998000), (29970, 1984000), (30000, 1982016), (30969, 1920000), (31000, 1918080), (31744, 1873125), (31968, 1860000), (32000, 1858140), (32400, 1835200), (33300, 1785600), (33480, 1776000), (33750, 1761792), (34410, 1728000), (34560, 1720500), (34875, 1704960), (35520, 1674000), (35712, 1665000), (36000, 1651680), (36704, 1620000), (37000, 1607040), (37200, 1598400), (37888, 1569375), (38400, 1548450), (38750, 1534464), (39680, 1498500), (39960, 1488000), (40000, 1486512), (40176, 1480000), (40500, 1468160), (41292, 1440000), (41472, 1433750), (41625, 1428480), (41850, 1420800), (42624, 1395000), (43200, 1376400), (44400, 1339200), (44640, 1332000), (45000, 1321344), (45880, 1296000), (46080, 1290375), (46250, 1285632), (46500, 1278720), (47360, 1255500), (47616, 1248750), (47952, 1240000), (48000, 1238760), (49600, 1198800), (49950, 1190400), (50220, 1184000), (50625, 1174528), (51615, 1152000), (51840, 1147000), (53280, 1116000), (53568, 1110000), (54000, 1101120), (55056, 1080000), (55500, 1071360), (55800, 1065600), (56832, 1046250), (57350, 1036800), (57600, 1032300), (58125, 1022976), (59200, 1004400), (59520, 999000), (59940, 992000), (60000, 991008), (61938, 960000), (62000, 959040), (62775, 947200), (63936, 930000), (64000, 929070), (64800, 917600), (66600, 892800), (66960, 888000), (67500, 880896), (68820, 864000), (69120, 860250), (69375, 857088), (69750, 852480), (71040, 837000), (71424, 832500), (72000, 825840), (73408, 810000), (74000, 803520), (74400, 799200), (74925, 793600), (76800, 774225), (77500, 767232), (79360, 749250), (79920, 744000), (80000, 743256), (80352, 740000), (81000, 734080), (82584, 720000), (82944, 716875), (83250, 714240), (83700, 710400), (85248, 697500), (86025, 691200), (86400, 688200), (88800, 669600), (89280, 666000), (90000, 660672), (91760, 648000), (92500, 642816), (92907, 640000), (93000, 639360), (94720, 627750), (95232, 624375), (95904, 620000), (96000, 619380), (99200, 599400), (99900, 595200), (100440, 592000), (101250, 587264), (103230, 576000), (103680, 573500), (104625, 568320), (106560, 558000), (107136, 555000), (108000, 550560), (110112, 540000), (111000, 535680), (111600, 532800), (113664, 523125), (114700, 518400), (115200, 516150), (116250, 511488), (118400, 502200), (119040, 499500), (119880, 496000), (120000, 495504), (123876, 480000), (124000, 479520), (124875, 476160), (125550, 473600), (127872, 465000), (128000, 464535), (129600, 458800), (133200, 446400), (133920, 444000), (135000, 440448), (137640, 432000), (138240, 430125), (138750, 428544), (139500, 426240), (142080, 418500), (142848, 416250), (143375, 414720), (144000, 412920), (146816, 405000), (148000, 401760), (148800, 399600), (149850, 396800), (154845, 384000), (155000, 383616), (158720, 374625), (159840, 372000), (160000, 371628), (160704, 370000), (162000, 367040), (165168, 360000), (166500, 357120), (167400, 355200), (170496, 348750), (172050, 345600), (172800, 344100), (174375, 340992), (177600, 334800), (178560, 333000), (180000, 330336), (183520, 324000), (185000, 321408), (185814, 320000), (186000, 319680), (189440, 313875), (191808, 310000), (192000, 309690), (198400, 299700), (199800, 297600), (200880, 296000), (202500, 293632), (206460, 288000), (207360, 286750), (208125, 285696), (209250, 284160), (213120, 279000), (214272, 277500), (216000, 275280), (220224, 270000), (222000, 267840), (223200, 266400), (229400, 259200), (230400, 258075), (232500, 255744), (236800, 251100), (238080, 249750), (239760, 248000), (240000, 247752)]