90027571200

素因数分解:

$2^{11}\times 3^1\times 5^2\times 7^1\times {\mathrm{31}}^1\times {\mathrm{37}}^1\times {\mathrm{73}}^1$

素因数の和:183

約数の個数: 1152

約数和(自身を含む): 365536604160

約数和(自身を除く): 275509032960

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 31, 32, 35, 37, 40, 42, 48, 50, 56, 60, 62, 64, 70, 73, 74, 75, 80, 84, 93, 96, 100, 105, 111, 112, 120, 124, 128, 140, 146, 148, 150, 155, 160, 168, 175, 185, 186, 192, 200, 210, 217, 219, 222, 224, 240, 248, 256, 259, 280, 292, 296, 300, 310, 320, 336, 350, 365, 370, 372, 384, 400, 420, 434, 438, 444, 448, 465, 480, 496, 511, 512, 518, 525, 555, 560, 584, 592, 600, 620, 640, 651, 672, 700, 730, 740, 744, 768, 775, 777, 800, 840, 868, 876, 888, 896, 925, 930, 960, 992, 1022, 1024, 1036, 1050, 1085, 1095, 1110, 1120, 1147, 1168, 1184, 1200, 1240, 1280, 1295, 1302, 1344, 1400, 1460, 1480, 1488, 1533, 1536, 1550, 1554, 1600, 1680, 1736, 1752, 1776, 1792, 1825, 1850, 1860, 1920, 1984, 2044, 2048, 2072, 2100, 2170, 2190, 2220, 2240, 2263, 2294, 2325, 2336, 2368, 2400, 2480, 2555, 2560, 2590, 2604, 2688, 2701, 2775, 2800, 2920, 2960, 2976, 3066, 3072, 3100, 3108, 3200, 3255, 3360, 3441, 3472, 3504, 3552, 3584, 3650, 3700, 3720, 3840, 3885, 3968, 4088, 4144, 4200, 4340, 4380, 4440, 4480, 4526, 4588, 4650, 4672, 4736, 4800, 4960, 5110, 5120, 5180, 5208, 5376, 5402, 5425, 5475, 5550, 5600, 5735, 5840, 5920, 5952, 6132, 6144, 6200, 6216, 6400, 6475, 6510, 6720, 6789, 6882, 6944, 7008, 7104, 7168, 7300, 7400, 7440, 7665, 7680, 7770, 7936, 8029, 8103, 8176, 8288, 8400, 8680, 8760, 8880, 8960, 9052, 9176, 9300, 9344, 9472, 9600, 9920, 10220, 10240, 10360, 10416, 10752, 10804, 10850, 10950, 11100, 11200, 11315, 11470, 11680, 11840, 11904, 12264, 12400, 12432, 12775, 12800, 12950, 13020, 13440, 13505, 13578, 13764, 13888, 14016, 14208, 14336, 14600, 14800, 14880, 15330, 15360, 15540, 15841, 15872, 16058, 16206, 16275, 16352, 16576, 16800, 17205, 17360, 17520, 17760, 17920, 18104, 18352, 18600, 18688, 18907, 18944, 19200, 19425, 19840, 20440, 20720, 20832, 21504, 21608, 21700, 21900, 22200, 22400, 22630, 22940, 23360, 23680, 23808, 24087, 24528, 24800, 24864, 25550, 25600, 25900, 26040, 26880, 27010, 27156, 27528, 27776, 28032, 28416, 28675, 29200, 29600, 29760, 30660, 30720, 31080, 31682, 31744, 32116, 32412, 32550, 32704, 33152, 33600, 33945, 34410, 34720, 35040, 35520, 35840, 36208, 36704, 37200, 37376, 37814, 37888, 38325, 38400, 38850, 39680, 40145, 40515, 40880, 41440, 41664, 43008, 43216, 43400, 43800, 44400, 44800, 45260, 45880, 46720, 47360, 47523, 47616, 48174, 49056, 49600, 49728, 51100, 51200, 51800, 52080, 53760, 54020, 54312, 55056, 55552, 56064, 56575, 56721, 56832, 57350, 58400, 59200, 59520, 61320, 62160, 63364, 63488, 64232, 64824, 65100, 65408, 66304, 67200, 67525, 67890, 68820, 69440, 70080, 71040, 71680, 72416, 73408, 74400, 74752, 75628, 75776, 76650, 76800, 77700, 79205, 79360, 80290, 81030, 81760, 82880, 83328, 83731, 86025, 86432, 86800, 87600, 88800, 89600, 90520, 91760, 93440, 94535, 94720, 95046, 95232, 96348, 98112, 99200, 99456, 102200, 103600, 104160, 107520, 108040, 108624, 110112, 111104, 112128, 113150, 113442, 113664, 114700, 116800, 118400, 119040, 120435, 122640, 124320, 126728, 128464, 129648, 130200, 130816, 132608, 134400, 135050, 135780, 137640, 138880, 140160, 142080, 144832, 146816, 148800, 149504, 151256, 153300, 153600, 155400, 158410, 158720, 160580, 162060, 163520, 165760, 166656, 167462, 169725, 172050, 172864, 173600, 175200, 177600, 179200, 181040, 183520, 186880, 189070, 189440, 190092, 190464, 192696, 196224, 198400, 198912, 200725, 202575, 204400, 207200, 208320, 215040, 216080, 217248, 220224, 222208, 224256, 226300, 226884, 227328, 229400, 233600, 236800, 237615, 238080, 240870, 245280, 248640, 251193, 253456, 256928, 259296, 260400, 261632, 265216, 268800, 270100, 271560, 275280, 277760, 280320, 283605, 284160, 289664, 293632, 297600, 302512, 306600, 310800, 316820, 317440, 321160, 324120, 327040, 331520, 333312, 334924, 339450, 344100, 345728, 347200, 350400, 355200, 358400, 362080, 367040, 373760, 378140, 378880, 380184, 385392, 392448, 396025, 396800, 397824, 401450, 405150, 408800, 414400, 416640, 418655, 432160, 434496, 440448, 444416, 448512, 452600, 453768, 458800, 467200, 472675, 473600, 475230, 476160, 481740, 490560, 497280, 502386, 506912, 513856, 518592, 520800, 523264, 530432, 537600, 540200, 543120, 550560, 555520, 560640, 567210, 568320, 579328, 586117, 587264, 595200, 602175, 605024, 613200, 621600, 633640, 642320, 648240, 654080, 663040, 666624, 669848, 678900, 688200, 691456, 694400, 700800, 710400, 724160, 734080, 747520, 756280, 760368, 770784, 784896, 792050, 793600, 795648, 802900, 810300, 817600, 828800, 833280, 837310, 864320, 868992, 880896, 905200, 907536, 917600, 934400, 945350, 947200, 950460, 952320, 963480, 981120, 994560, 1004772, 1013824, 1027712, 1037184, 1041600, 1046528, 1075200, 1080400, 1086240, 1101120, 1111040, 1121280, 1134420, 1136640, 1158656, 1172234, 1174528, 1188075, 1190400, 1204350, 1210048, 1226400, 1243200, 1255965, 1267280, 1284640, 1296480, 1308160, 1326080, 1333248, 1339696, 1357800, 1376400, 1382912, 1388800, 1401600, 1418025, 1420800, 1448320, 1468160, 1512560, 1520736, 1541568, 1569792, 1584100, 1587200, 1591296, 1605800, 1620600, 1635200, 1657600, 1666560, 1674620, 1728640, 1737984, 1758351, 1761792, 1810400, 1815072, 1835200, 1868800, 1890700, 1894400, 1900920, 1926960, 1962240, 1989120, 2009544, 2027648, 2055424, 2074368, 2083200, 2093275, 2160800, 2172480, 2202240, 2222080, 2242560, 2268840, 2317312, 2344468, 2349056, 2376150, 2380800, 2408700, 2420096, 2452800, 2486400, 2511930, 2534560, 2569280, 2592960, 2616320, 2652160, 2679392, 2715600, 2752800, 2765824, 2777600, 2803200, 2836050, 2841600, 2896640, 2930585, 2936320, 3025120, 3041472, 3083136, 3139584, 3168200, 3211600, 3241200, 3270400, 3315200, 3333120, 3349240, 3457280, 3475968, 3516702, 3523584, 3620800, 3630144, 3670400, 3737600, 3781400, 3801840, 3853920, 3924480, 3978240, 4019088, 4055296, 4110848, 4148736, 4166400, 4186550, 4321600, 4344960, 4404480, 4537680, 4634624, 4688936, 4752300, 4761600, 4817400, 4840192, 4905600, 4972800, 5023860, 5069120, 5138560, 5185920, 5232640, 5358784, 5431200, 5505600, 5531648, 5555200, 5606400, 5672100, 5683200, 5793280, 5861170, 5872640, 6050240, 6082944, 6166272, 6279825, 6336400, 6423200, 6482400, 6540800, 6630400, 6666240, 6698480, 6914560, 6951936, 7033404, 7047168, 7241600, 7260288, 7340800, 7562800, 7603680, 7707840, 7848960, 7956480, 8038176, 8110592, 8221696, 8297472, 8332800, 8373100, 8643200, 8689920, 8791755, 8808960, 9075360, 9377872, 9504600, 9634800, 9680384, 9811200, 9945600, 10047720, 10138240, 10277120, 10371840, 10717568, 10862400, 11011200, 11110400, 11212800, 11344200, 11586560, 11722340, 11745280, 12100480, 12165888, 12332544, 12559650, 12672800, 12846400, 12964800, 13081600, 13260800, 13396960, 13829120, 13903872, 14066808, 14483200, 14520576, 14652925, 14681600, 15125600, 15207360, 15415680, 15697920, 16076352, 16221184, 16443392, 16594944, 16665600, 16746200, 17286400, 17379840, 17583510, 17617920, 18150720, 18755744, 19009200, 19269600, 19360768, 19622400, 19891200, 20095440, 20276480, 20554240, 20743680, 21435136, 21724800, 22022400, 22688400, 23173120, 23444680, 24200960, 24331776, 24665088, 25119300, 25345600, 25692800, 25929600, 26163200, 26793920, 27658240, 28133616, 28966400, 29041152, 29305850, 29363200, 30251200, 30414720, 30831360, 32152704, 32442368, 33331200, 33492400, 34572800, 34759680, 35167020, 35235840, 36301440, 37511488, 38018400, 38539200, 38721536, 39244800, 39782400, 40190880, 40552960, 41108480, 41487360, 42870272, 43449600, 43958775, 44044800, 45376800, 46889360, 48401920, 48663552, 49330176, 50238600, 50691200, 51385600, 51859200, 53587840, 56267232, 57932800, 58082304, 58611700, 58726400, 60502400, 60829440, 61662720, 64305408, 66984800, 69145600, 69519360, 70334040, 72602880, 75022976, 76036800, 77078400, 78489600, 80381760, 81105920, 82216960, 82974720, 85740544, 86899200, 87917550, 88089600, 90753600, 93778720, 96803840, 97327104, 100477200, 101382400, 102771200, 103718400, 107175680, 112534464, 115865600, 116164608, 117223400, 121004800, 121658880, 123325440, 128610816, 133969600, 138291200, 140668080, 145205760, 150045952, 152073600, 154156800, 160763520, 162211840, 171481088, 173798400, 175835100, 176179200, 181507200, 187557440, 193607680, 200954400, 202764800, 205542400, 207436800, 214351360, 225068928, 234446800, 242009600, 243317760, 246650880, 257221632, 267939200, 281336160, 290411520, 300091904, 304147200, 308313600, 321527040, 347596800, 351670200, 363014400, 375114880, 401908800, 405529600, 411084800, 414873600, 428702720, 450137856, 468893600, 484019200, 486635520, 514443264, 535878400, 562672320, 580823040, 600183808, 608294400, 616627200, 643054080, 703340400, 726028800, 750229760, 803817600, 811059200, 857405440, 900275712, 937787200, 968038400, 1071756800, 1125344640, 1200367616, 1216588800, 1233254400, 1286108160, 1406680800, 1452057600, 1500459520, 1607635200, 1800551424, 1875574400, 2143513600, 2250689280, 2433177600, 2572216320, 2813361600, 2904115200, 3000919040, 3215270400, 3601102848, 3751148800, 4287027200, 4501378560, 5626723200, 6001838080, 6430540800, 7502297600, 9002757120, 11253446400, 12861081600, 15004595200, 18005514240, 22506892800, 30009190400, 45013785600, 90027571200]

約数ペア:

[(1, 90027571200), (2, 45013785600), (3, 30009190400), (4, 22506892800), (5, 18005514240), (6, 15004595200), (7, 12861081600), (8, 11253446400), (10, 9002757120), (12, 7502297600), (14, 6430540800), (15, 6001838080), (16, 5626723200), (20, 4501378560), (21, 4287027200), (24, 3751148800), (25, 3601102848), (28, 3215270400), (30, 3000919040), (31, 2904115200), (32, 2813361600), (35, 2572216320), (37, 2433177600), (40, 2250689280), (42, 2143513600), (48, 1875574400), (50, 1800551424), (56, 1607635200), (60, 1500459520), (62, 1452057600), (64, 1406680800), (70, 1286108160), (73, 1233254400), (74, 1216588800), (75, 1200367616), (80, 1125344640), (84, 1071756800), (93, 968038400), (96, 937787200), (100, 900275712), (105, 857405440), (111, 811059200), (112, 803817600), (120, 750229760), (124, 726028800), (128, 703340400), (140, 643054080), (146, 616627200), (148, 608294400), (150, 600183808), (155, 580823040), (160, 562672320), (168, 535878400), (175, 514443264), (185, 486635520), (186, 484019200), (192, 468893600), (200, 450137856), (210, 428702720), (217, 414873600), (219, 411084800), (222, 405529600), (224, 401908800), (240, 375114880), (248, 363014400), (256, 351670200), (259, 347596800), (280, 321527040), (292, 308313600), (296, 304147200), (300, 300091904), (310, 290411520), (320, 281336160), (336, 267939200), (350, 257221632), (365, 246650880), (370, 243317760), (372, 242009600), (384, 234446800), (400, 225068928), (420, 214351360), (434, 207436800), (438, 205542400), (444, 202764800), (448, 200954400), (465, 193607680), (480, 187557440), (496, 181507200), (511, 176179200), (512, 175835100), (518, 173798400), (525, 171481088), (555, 162211840), (560, 160763520), (584, 154156800), (592, 152073600), (600, 150045952), (620, 145205760), (640, 140668080), (651, 138291200), (672, 133969600), (700, 128610816), (730, 123325440), (740, 121658880), (744, 121004800), (768, 117223400), (775, 116164608), (777, 115865600), (800, 112534464), (840, 107175680), (868, 103718400), (876, 102771200), (888, 101382400), (896, 100477200), (925, 97327104), (930, 96803840), (960, 93778720), (992, 90753600), (1022, 88089600), (1024, 87917550), (1036, 86899200), (1050, 85740544), (1085, 82974720), (1095, 82216960), (1110, 81105920), (1120, 80381760), (1147, 78489600), (1168, 77078400), (1184, 76036800), (1200, 75022976), (1240, 72602880), (1280, 70334040), (1295, 69519360), (1302, 69145600), (1344, 66984800), (1400, 64305408), (1460, 61662720), (1480, 60829440), (1488, 60502400), (1533, 58726400), (1536, 58611700), (1550, 58082304), (1554, 57932800), (1600, 56267232), (1680, 53587840), (1736, 51859200), (1752, 51385600), (1776, 50691200), (1792, 50238600), (1825, 49330176), (1850, 48663552), (1860, 48401920), (1920, 46889360), (1984, 45376800), (2044, 44044800), (2048, 43958775), (2072, 43449600), (2100, 42870272), (2170, 41487360), (2190, 41108480), (2220, 40552960), (2240, 40190880), (2263, 39782400), (2294, 39244800), (2325, 38721536), (2336, 38539200), (2368, 38018400), (2400, 37511488), (2480, 36301440), (2555, 35235840), (2560, 35167020), (2590, 34759680), (2604, 34572800), (2688, 33492400), (2701, 33331200), (2775, 32442368), (2800, 32152704), (2920, 30831360), (2960, 30414720), (2976, 30251200), (3066, 29363200), (3072, 29305850), (3100, 29041152), (3108, 28966400), (3200, 28133616), (3255, 27658240), (3360, 26793920), (3441, 26163200), (3472, 25929600), (3504, 25692800), (3552, 25345600), (3584, 25119300), (3650, 24665088), (3700, 24331776), (3720, 24200960), (3840, 23444680), (3885, 23173120), (3968, 22688400), (4088, 22022400), (4144, 21724800), (4200, 21435136), (4340, 20743680), (4380, 20554240), (4440, 20276480), (4480, 20095440), (4526, 19891200), (4588, 19622400), (4650, 19360768), (4672, 19269600), (4736, 19009200), (4800, 18755744), (4960, 18150720), (5110, 17617920), (5120, 17583510), (5180, 17379840), (5208, 17286400), (5376, 16746200), (5402, 16665600), (5425, 16594944), (5475, 16443392), (5550, 16221184), (5600, 16076352), (5735, 15697920), (5840, 15415680), (5920, 15207360), (5952, 15125600), (6132, 14681600), (6144, 14652925), (6200, 14520576), (6216, 14483200), (6400, 14066808), (6475, 13903872), (6510, 13829120), (6720, 13396960), (6789, 13260800), (6882, 13081600), (6944, 12964800), (7008, 12846400), (7104, 12672800), (7168, 12559650), (7300, 12332544), (7400, 12165888), (7440, 12100480), (7665, 11745280), (7680, 11722340), (7770, 11586560), (7936, 11344200), (8029, 11212800), (8103, 11110400), (8176, 11011200), (8288, 10862400), (8400, 10717568), (8680, 10371840), (8760, 10277120), (8880, 10138240), (8960, 10047720), (9052, 9945600), (9176, 9811200), (9300, 9680384), (9344, 9634800), (9472, 9504600), (9600, 9377872), (9920, 9075360), (10220, 8808960), (10240, 8791755), (10360, 8689920), (10416, 8643200), (10752, 8373100), (10804, 8332800), (10850, 8297472), (10950, 8221696), (11100, 8110592), (11200, 8038176), (11315, 7956480), (11470, 7848960), (11680, 7707840), (11840, 7603680), (11904, 7562800), (12264, 7340800), (12400, 7260288), (12432, 7241600), (12775, 7047168), (12800, 7033404), (12950, 6951936), (13020, 6914560), (13440, 6698480), (13505, 6666240), (13578, 6630400), (13764, 6540800), (13888, 6482400), (14016, 6423200), (14208, 6336400), (14336, 6279825), (14600, 6166272), (14800, 6082944), (14880, 6050240), (15330, 5872640), (15360, 5861170), (15540, 5793280), (15841, 5683200), (15872, 5672100), (16058, 5606400), (16206, 5555200), (16275, 5531648), (16352, 5505600), (16576, 5431200), (16800, 5358784), (17205, 5232640), (17360, 5185920), (17520, 5138560), (17760, 5069120), (17920, 5023860), (18104, 4972800), (18352, 4905600), (18600, 4840192), (18688, 4817400), (18907, 4761600), (18944, 4752300), (19200, 4688936), (19425, 4634624), (19840, 4537680), (20440, 4404480), (20720, 4344960), (20832, 4321600), (21504, 4186550), (21608, 4166400), (21700, 4148736), (21900, 4110848), (22200, 4055296), (22400, 4019088), (22630, 3978240), (22940, 3924480), (23360, 3853920), (23680, 3801840), (23808, 3781400), (24087, 3737600), (24528, 3670400), (24800, 3630144), (24864, 3620800), (25550, 3523584), (25600, 3516702), (25900, 3475968), (26040, 3457280), (26880, 3349240), (27010, 3333120), (27156, 3315200), (27528, 3270400), (27776, 3241200), (28032, 3211600), (28416, 3168200), (28675, 3139584), (29200, 3083136), (29600, 3041472), (29760, 3025120), (30660, 2936320), (30720, 2930585), (31080, 2896640), (31682, 2841600), (31744, 2836050), (32116, 2803200), (32412, 2777600), (32550, 2765824), (32704, 2752800), (33152, 2715600), (33600, 2679392), (33945, 2652160), (34410, 2616320), (34720, 2592960), (35040, 2569280), (35520, 2534560), (35840, 2511930), (36208, 2486400), (36704, 2452800), (37200, 2420096), (37376, 2408700), (37814, 2380800), (37888, 2376150), (38325, 2349056), (38400, 2344468), (38850, 2317312), (39680, 2268840), (40145, 2242560), (40515, 2222080), (40880, 2202240), (41440, 2172480), (41664, 2160800), (43008, 2093275), (43216, 2083200), (43400, 2074368), (43800, 2055424), (44400, 2027648), (44800, 2009544), (45260, 1989120), (45880, 1962240), (46720, 1926960), (47360, 1900920), (47523, 1894400), (47616, 1890700), (48174, 1868800), (49056, 1835200), (49600, 1815072), (49728, 1810400), (51100, 1761792), (51200, 1758351), (51800, 1737984), (52080, 1728640), (53760, 1674620), (54020, 1666560), (54312, 1657600), (55056, 1635200), (55552, 1620600), (56064, 1605800), (56575, 1591296), (56721, 1587200), (56832, 1584100), (57350, 1569792), (58400, 1541568), (59200, 1520736), (59520, 1512560), (61320, 1468160), (62160, 1448320), (63364, 1420800), (63488, 1418025), (64232, 1401600), (64824, 1388800), (65100, 1382912), (65408, 1376400), (66304, 1357800), (67200, 1339696), (67525, 1333248), (67890, 1326080), (68820, 1308160), (69440, 1296480), (70080, 1284640), (71040, 1267280), (71680, 1255965), (72416, 1243200), (73408, 1226400), (74400, 1210048), (74752, 1204350), (75628, 1190400), (75776, 1188075), (76650, 1174528), (76800, 1172234), (77700, 1158656), (79205, 1136640), (79360, 1134420), (80290, 1121280), (81030, 1111040), (81760, 1101120), (82880, 1086240), (83328, 1080400), (83731, 1075200), (86025, 1046528), (86432, 1041600), (86800, 1037184), (87600, 1027712), (88800, 1013824), (89600, 1004772), (90520, 994560), (91760, 981120), (93440, 963480), (94535, 952320), (94720, 950460), (95046, 947200), (95232, 945350), (96348, 934400), (98112, 917600), (99200, 907536), (99456, 905200), (102200, 880896), (103600, 868992), (104160, 864320), (107520, 837310), (108040, 833280), (108624, 828800), (110112, 817600), (111104, 810300), (112128, 802900), (113150, 795648), (113442, 793600), (113664, 792050), (114700, 784896), (116800, 770784), (118400, 760368), (119040, 756280), (120435, 747520), (122640, 734080), (124320, 724160), (126728, 710400), (128464, 700800), (129648, 694400), (130200, 691456), (130816, 688200), (132608, 678900), (134400, 669848), (135050, 666624), (135780, 663040), (137640, 654080), (138880, 648240), (140160, 642320), (142080, 633640), (144832, 621600), (146816, 613200), (148800, 605024), (149504, 602175), (151256, 595200), (153300, 587264), (153600, 586117), (155400, 579328), (158410, 568320), (158720, 567210), (160580, 560640), (162060, 555520), (163520, 550560), (165760, 543120), (166656, 540200), (167462, 537600), (169725, 530432), (172050, 523264), (172864, 520800), (173600, 518592), (175200, 513856), (177600, 506912), (179200, 502386), (181040, 497280), (183520, 490560), (186880, 481740), (189070, 476160), (189440, 475230), (190092, 473600), (190464, 472675), (192696, 467200), (196224, 458800), (198400, 453768), (198912, 452600), (200725, 448512), (202575, 444416), (204400, 440448), (207200, 434496), (208320, 432160), (215040, 418655), (216080, 416640), (217248, 414400), (220224, 408800), (222208, 405150), (224256, 401450), (226300, 397824), (226884, 396800), (227328, 396025), (229400, 392448), (233600, 385392), (236800, 380184), (237615, 378880), (238080, 378140), (240870, 373760), (245280, 367040), (248640, 362080), (251193, 358400), (253456, 355200), (256928, 350400), (259296, 347200), (260400, 345728), (261632, 344100), (265216, 339450), (268800, 334924), (270100, 333312), (271560, 331520), (275280, 327040), (277760, 324120), (280320, 321160), (283605, 317440), (284160, 316820), (289664, 310800), (293632, 306600), (297600, 302512)]