29890944000

素因数分解:

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

素因数の和:112

約数の個数: 792

約数和(自身を含む): 115423190064

約数和(自身を除く): 85532246064

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 31, 32, 36, 40, 45, 48, 50, 54, 60, 62, 64, 72, 75, 80, 81, 90, 93, 96, 100, 108, 120, 124, 125, 128, 135, 144, 150, 155, 160, 162, 180, 186, 192, 200, 216, 225, 240, 243, 248, 250, 256, 270, 279, 288, 300, 310, 320, 324, 360, 372, 375, 384, 400, 405, 432, 450, 465, 480, 486, 496, 500, 512, 540, 558, 576, 600, 620, 640, 648, 675, 720, 744, 750, 768, 775, 800, 810, 837, 864, 900, 930, 960, 961, 972, 992, 1000, 1024, 1080, 1116, 1125, 1152, 1200, 1215, 1240, 1280, 1296, 1350, 1395, 1440, 1488, 1500, 1536, 1550, 1600, 1620, 1674, 1728, 1800, 1860, 1920, 1922, 1944, 1984, 2000, 2025, 2160, 2232, 2250, 2304, 2325, 2400, 2430, 2480, 2511, 2560, 2592, 2700, 2790, 2880, 2883, 2976, 3000, 3072, 3100, 3200, 3240, 3348, 3375, 3456, 3600, 3720, 3840, 3844, 3875, 3888, 3968, 4000, 4050, 4185, 4320, 4464, 4500, 4608, 4650, 4800, 4805, 4860, 4960, 5022, 5120, 5184, 5400, 5580, 5760, 5766, 5952, 6000, 6075, 6200, 6400, 6480, 6696, 6750, 6912, 6975, 7200, 7440, 7533, 7680, 7688, 7750, 7776, 7936, 8000, 8100, 8370, 8640, 8649, 8928, 9000, 9216, 9300, 9600, 9610, 9720, 9920, 10044, 10125, 10368, 10800, 11160, 11520, 11532, 11625, 11904, 12000, 12150, 12400, 12555, 12800, 12960, 13392, 13500, 13824, 13950, 14400, 14415, 14880, 15066, 15360, 15376, 15500, 15552, 15872, 16000, 16200, 16740, 17280, 17298, 17856, 18000, 18600, 19200, 19220, 19440, 19840, 20088, 20250, 20736, 20925, 21600, 22320, 23040, 23064, 23250, 23808, 24000, 24025, 24300, 24800, 25110, 25600, 25920, 25947, 26784, 27000, 27648, 27900, 28800, 28830, 29760, 30132, 30375, 30752, 31000, 31104, 31744, 32000, 32400, 33480, 34560, 34596, 34875, 35712, 36000, 37200, 37665, 38400, 38440, 38880, 39680, 40176, 40500, 41472, 41850, 43200, 43245, 44640, 46080, 46128, 46500, 47616, 48000, 48050, 48600, 49600, 50220, 51840, 51894, 53568, 54000, 55800, 57600, 57660, 59520, 60264, 60750, 61504, 62000, 62208, 62775, 64000, 64800, 66960, 69120, 69192, 69750, 71424, 72000, 72075, 74400, 75330, 76800, 76880, 77760, 77841, 79360, 80352, 81000, 82944, 83700, 86400, 86490, 89280, 92256, 93000, 95232, 96000, 96100, 97200, 99200, 100440, 103680, 103788, 104625, 107136, 108000, 111600, 115200, 115320, 119040, 120125, 120528, 121500, 123008, 124000, 124416, 125550, 128000, 129600, 129735, 133920, 138240, 138384, 139500, 142848, 144000, 144150, 148800, 150660, 153760, 155520, 155682, 158720, 160704, 162000, 167400, 172800, 172980, 178560, 184512, 186000, 188325, 192000, 192200, 194400, 198400, 200880, 207360, 207576, 209250, 214272, 216000, 216225, 223200, 230400, 230640, 233523, 238080, 240250, 241056, 243000, 246016, 248000, 248832, 251100, 259200, 259470, 267840, 276768, 279000, 285696, 288000, 288300, 297600, 301320, 307520, 311040, 311364, 313875, 321408, 324000, 334800, 345600, 345960, 357120, 360375, 369024, 372000, 376650, 384000, 384400, 388800, 389205, 396800, 401760, 414720, 415152, 418500, 428544, 432000, 432450, 446400, 461280, 467046, 476160, 480500, 482112, 486000, 492032, 496000, 502200, 518400, 518940, 535680, 553536, 558000, 576000, 576600, 595200, 602640, 615040, 622080, 622728, 627750, 642816, 648000, 648675, 669600, 691200, 691920, 714240, 720750, 738048, 744000, 753300, 768800, 777600, 778410, 793600, 803520, 830304, 837000, 857088, 864000, 864900, 892800, 922560, 934092, 941625, 961000, 964224, 972000, 984064, 992000, 1004400, 1036800, 1037880, 1071360, 1081125, 1107072, 1116000, 1152000, 1153200, 1167615, 1190400, 1205280, 1230080, 1244160, 1245456, 1255500, 1285632, 1296000, 1297350, 1339200, 1383840, 1428480, 1441500, 1476096, 1488000, 1506600, 1537600, 1555200, 1556820, 1607040, 1660608, 1674000, 1728000, 1729800, 1785600, 1845120, 1868184, 1883250, 1922000, 1928448, 1944000, 1946025, 1984000, 2008800, 2073600, 2075760, 2142720, 2162250, 2214144, 2232000, 2306400, 2335230, 2380800, 2410560, 2460160, 2490912, 2511000, 2571264, 2592000, 2594700, 2678400, 2767680, 2883000, 2952192, 2976000, 3013200, 3075200, 3110400, 3113640, 3214080, 3243375, 3321216, 3348000, 3456000, 3459600, 3571200, 3690240, 3736368, 3766500, 3844000, 3856896, 3888000, 3892050, 3968000, 4017600, 4151520, 4285440, 4324500, 4428288, 4464000, 4612800, 4670460, 4821120, 4920320, 4981824, 5022000, 5184000, 5189400, 5356800, 5535360, 5766000, 5838075, 5952000, 6026400, 6150400, 6220800, 6227280, 6428160, 6486750, 6642432, 6696000, 6919200, 7142400, 7380480, 7472736, 7533000, 7688000, 7713792, 7776000, 7784100, 8035200, 8303040, 8649000, 8856576, 8928000, 9225600, 9340920, 9642240, 9730125, 9963648, 10044000, 10368000, 10378800, 10713600, 11070720, 11532000, 11676150, 11904000, 12052800, 12300800, 12454560, 12856320, 12973500, 13284864, 13392000, 13838400, 14760960, 14945472, 15066000, 15376000, 15552000, 15568200, 16070400, 16606080, 17298000, 17856000, 18451200, 18681840, 19284480, 19460250, 19927296, 20088000, 20757600, 21427200, 22141440, 23064000, 23352300, 24105600, 24601600, 24909120, 25947000, 26569728, 26784000, 27676800, 29190375, 29890944, 30132000, 30752000, 31104000, 31136400, 32140800, 33212160, 34596000, 35712000, 36902400, 37363680, 38568960, 38920500, 39854592, 40176000, 41515200, 44282880, 46128000, 46704600, 48211200, 49818240, 51894000, 53568000, 55353600, 58380750, 59781888, 60264000, 61504000, 62272800, 64281600, 66424320, 69192000, 73804800, 74727360, 77841000, 79709184, 80352000, 83030400, 92256000, 93409200, 96422400, 99636480, 103788000, 107136000, 110707200, 116761500, 119563776, 120528000, 123008000, 124545600, 132848640, 138384000, 149454720, 155682000, 160704000, 166060800, 184512000, 186818400, 192844800, 199272960, 207576000, 221414400, 233523000, 239127552, 241056000, 249091200, 276768000, 298909440, 311364000, 321408000, 332121600, 369024000, 373636800, 398545920, 415152000, 467046000, 482112000, 498182400, 553536000, 597818880, 622728000, 664243200, 747273600, 830304000, 934092000, 964224000, 996364800, 1107072000, 1195637760, 1245456000, 1494547200, 1660608000, 1868184000, 1992729600, 2490912000, 2989094400, 3321216000, 3736368000, 4981824000, 5978188800, 7472736000, 9963648000, 14945472000, 29890944000]

約数ペア:

[(1, 29890944000), (2, 14945472000), (3, 9963648000), (4, 7472736000), (5, 5978188800), (6, 4981824000), (8, 3736368000), (9, 3321216000), (10, 2989094400), (12, 2490912000), (15, 1992729600), (16, 1868184000), (18, 1660608000), (20, 1494547200), (24, 1245456000), (25, 1195637760), (27, 1107072000), (30, 996364800), (31, 964224000), (32, 934092000), (36, 830304000), (40, 747273600), (45, 664243200), (48, 622728000), (50, 597818880), (54, 553536000), (60, 498182400), (62, 482112000), (64, 467046000), (72, 415152000), (75, 398545920), (80, 373636800), (81, 369024000), (90, 332121600), (93, 321408000), (96, 311364000), (100, 298909440), (108, 276768000), (120, 249091200), (124, 241056000), (125, 239127552), (128, 233523000), (135, 221414400), (144, 207576000), (150, 199272960), (155, 192844800), (160, 186818400), (162, 184512000), (180, 166060800), (186, 160704000), (192, 155682000), (200, 149454720), (216, 138384000), (225, 132848640), (240, 124545600), (243, 123008000), (248, 120528000), (250, 119563776), (256, 116761500), (270, 110707200), (279, 107136000), (288, 103788000), (300, 99636480), (310, 96422400), (320, 93409200), (324, 92256000), (360, 83030400), (372, 80352000), (375, 79709184), (384, 77841000), (400, 74727360), (405, 73804800), (432, 69192000), (450, 66424320), (465, 64281600), (480, 62272800), (486, 61504000), (496, 60264000), (500, 59781888), (512, 58380750), (540, 55353600), (558, 53568000), (576, 51894000), (600, 49818240), (620, 48211200), (640, 46704600), (648, 46128000), (675, 44282880), (720, 41515200), (744, 40176000), (750, 39854592), (768, 38920500), (775, 38568960), (800, 37363680), (810, 36902400), (837, 35712000), (864, 34596000), (900, 33212160), (930, 32140800), (960, 31136400), (961, 31104000), (972, 30752000), (992, 30132000), (1000, 29890944), (1024, 29190375), (1080, 27676800), (1116, 26784000), (1125, 26569728), (1152, 25947000), (1200, 24909120), (1215, 24601600), (1240, 24105600), (1280, 23352300), (1296, 23064000), (1350, 22141440), (1395, 21427200), (1440, 20757600), (1488, 20088000), (1500, 19927296), (1536, 19460250), (1550, 19284480), (1600, 18681840), (1620, 18451200), (1674, 17856000), (1728, 17298000), (1800, 16606080), (1860, 16070400), (1920, 15568200), (1922, 15552000), (1944, 15376000), (1984, 15066000), (2000, 14945472), (2025, 14760960), (2160, 13838400), (2232, 13392000), (2250, 13284864), (2304, 12973500), (2325, 12856320), (2400, 12454560), (2430, 12300800), (2480, 12052800), (2511, 11904000), (2560, 11676150), (2592, 11532000), (2700, 11070720), (2790, 10713600), (2880, 10378800), (2883, 10368000), (2976, 10044000), (3000, 9963648), (3072, 9730125), (3100, 9642240), (3200, 9340920), (3240, 9225600), (3348, 8928000), (3375, 8856576), (3456, 8649000), (3600, 8303040), (3720, 8035200), (3840, 7784100), (3844, 7776000), (3875, 7713792), (3888, 7688000), (3968, 7533000), (4000, 7472736), (4050, 7380480), (4185, 7142400), (4320, 6919200), (4464, 6696000), (4500, 6642432), (4608, 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