87069340800

素因数分解:

$2^7\times 3^3\times 5^2\times {\mathrm{13}}^2\times {\mathrm{67}}^1\times {\mathrm{89}}^1$

素因数の和:215

約数の個数: 1152

約数和(自身を含む): 354131352000

約数和(自身を除く): 267062011200

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 25, 26, 27, 30, 32, 36, 39, 40, 45, 48, 50, 52, 54, 60, 64, 65, 67, 72, 75, 78, 80, 89, 90, 96, 100, 104, 108, 117, 120, 128, 130, 134, 135, 144, 150, 156, 160, 169, 178, 180, 192, 195, 200, 201, 208, 216, 225, 234, 240, 260, 267, 268, 270, 288, 300, 312, 320, 325, 335, 338, 351, 356, 360, 384, 390, 400, 402, 416, 432, 445, 450, 468, 480, 507, 520, 534, 536, 540, 576, 585, 600, 603, 624, 640, 650, 670, 675, 676, 702, 712, 720, 780, 800, 801, 804, 832, 845, 864, 871, 890, 900, 936, 960, 975, 1005, 1014, 1040, 1068, 1072, 1080, 1152, 1157, 1170, 1200, 1206, 1248, 1300, 1335, 1340, 1350, 1352, 1404, 1424, 1440, 1521, 1560, 1600, 1602, 1608, 1664, 1675, 1690, 1728, 1742, 1755, 1780, 1800, 1809, 1872, 1920, 1950, 2010, 2028, 2080, 2136, 2144, 2160, 2225, 2314, 2340, 2400, 2403, 2412, 2496, 2535, 2600, 2613, 2670, 2680, 2700, 2704, 2808, 2848, 2880, 2925, 3015, 3042, 3120, 3200, 3204, 3216, 3350, 3380, 3456, 3471, 3484, 3510, 3560, 3600, 3618, 3744, 3900, 4005, 4020, 4056, 4160, 4225, 4272, 4288, 4320, 4355, 4450, 4563, 4628, 4680, 4800, 4806, 4824, 4992, 5025, 5070, 5200, 5226, 5340, 5360, 5400, 5408, 5616, 5696, 5760, 5785, 5850, 5963, 6030, 6084, 6240, 6408, 6432, 6675, 6700, 6760, 6942, 6968, 7020, 7120, 7200, 7236, 7488, 7605, 7800, 7839, 8010, 8040, 8112, 8320, 8450, 8544, 8576, 8640, 8710, 8775, 8900, 9045, 9126, 9256, 9360, 9600, 9612, 9648, 10050, 10140, 10400, 10413, 10452, 10680, 10720, 10800, 10816, 11232, 11323, 11392, 11570, 11700, 11926, 12015, 12060, 12168, 12480, 12675, 12816, 12864, 13065, 13350, 13400, 13520, 13884, 13936, 14040, 14240, 14400, 14472, 14976, 15041, 15075, 15210, 15600, 15678, 16020, 16080, 16224, 16900, 17088, 17280, 17355, 17420, 17550, 17800, 17889, 18090, 18252, 18512, 18720, 19224, 19296, 20025, 20100, 20280, 20800, 20826, 20904, 21360, 21440, 21600, 21632, 21775, 22464, 22646, 22815, 23140, 23400, 23517, 23852, 24030, 24120, 24336, 24960, 25350, 25632, 25728, 26130, 26700, 26800, 27040, 27768, 27872, 28080, 28480, 28800, 28925, 28944, 29815, 30082, 30150, 30420, 31200, 31239, 31356, 32040, 32160, 32448, 33800, 33969, 34176, 34710, 34840, 35100, 35600, 35778, 36180, 36504, 37024, 37440, 38025, 38448, 38592, 39195, 40050, 40200, 40560, 41600, 41652, 41808, 42720, 42880, 43200, 43550, 44928, 45123, 45225, 45292, 45630, 46280, 46800, 47034, 47704, 48060, 48240, 48672, 50700, 51264, 52065, 52260, 53400, 53600, 53667, 54080, 55536, 55744, 56160, 56615, 56960, 57850, 57888, 59630, 60075, 60164, 60300, 60840, 62400, 62478, 62712, 64080, 64320, 64896, 65325, 67600, 67938, 69420, 69680, 70200, 71200, 71556, 72360, 73008, 74048, 74880, 75205, 76050, 76896, 77184, 77519, 78390, 80100, 80400, 81120, 83304, 83616, 85440, 86400, 86775, 87100, 89445, 90246, 90450, 90584, 91260, 92560, 93600, 94068, 95408, 96120, 96480, 97344, 101400, 101907, 102528, 104130, 104520, 106800, 107200, 107334, 108160, 111072, 111488, 112320, 113230, 114075, 115700, 115776, 117585, 119260, 120150, 120328, 120600, 121680, 124800, 124956, 125424, 128160, 128640, 130650, 135200, 135369, 135876, 138840, 139360, 140400, 142400, 143112, 144720, 146016, 148096, 149075, 150410, 152100, 153792, 155038, 156195, 156780, 160200, 160800, 161001, 162240, 166608, 167232, 169845, 170880, 173550, 174200, 178890, 180492, 180900, 181168, 182520, 185120, 187200, 188136, 190816, 192240, 192960, 194688, 195975, 202800, 203814, 208260, 209040, 213600, 214400, 214668, 222144, 224640, 225615, 226460, 228150, 231400, 231552, 232557, 235170, 238520, 240300, 240656, 241200, 243360, 249912, 250848, 256320, 260325, 261300, 268335, 270400, 270738, 271752, 277680, 278720, 280800, 283075, 284800, 286224, 289440, 292032, 298150, 300820, 304200, 305721, 307584, 310076, 312390, 313560, 320400, 321600, 322002, 324480, 333216, 334464, 339690, 347100, 348400, 357780, 360984, 361800, 362336, 365040, 370240, 374400, 376025, 376272, 381632, 384480, 385920, 387595, 391950, 405600, 406107, 407628, 416520, 418080, 427200, 429336, 444288, 447225, 451230, 452920, 456300, 462800, 465114, 470340, 477040, 480600, 481312, 482400, 486720, 499824, 501696, 509535, 512640, 520650, 522600, 536670, 540800, 541476, 543504, 555360, 557440, 561600, 566150, 572448, 578880, 584064, 587925, 596300, 601640, 608400, 611442, 620152, 624780, 627120, 640800, 643200, 644004, 666432, 676845, 679380, 694200, 696800, 697671, 715560, 721968, 723600, 724672, 730080, 740480, 752050, 752544, 763264, 768960, 775190, 780975, 783900, 805005, 811200, 812214, 815256, 833040, 836160, 849225, 854400, 858672, 894450, 902460, 905840, 912600, 925600, 930228, 940680, 954080, 961200, 962624, 964800, 973440, 999648, 1003392, 1007747, 1019070, 1041300, 1045200, 1073340, 1082952, 1087008, 1110720, 1123200, 1128075, 1132300, 1144896, 1157760, 1162785, 1175850, 1192600, 1203280, 1216800, 1222884, 1240304, 1249560, 1254240, 1281600, 1288008, 1332864, 1341675, 1353690, 1358760, 1388400, 1393600, 1395342, 1431120, 1443936, 1447200, 1449344, 1460160, 1504100, 1505088, 1528605, 1537920, 1550380, 1561950, 1567800, 1610010, 1622400, 1624428, 1630512, 1666080, 1672320, 1698450, 1717344, 1788900, 1804920, 1811680, 1825200, 1851200, 1860456, 1881360, 1908160, 1922400, 1925248, 1929600, 1937975, 1999296, 2015494, 2030535, 2038140, 2082600, 2090400, 2093013, 2146680, 2165904, 2174016, 2221440, 2256150, 2264600, 2289792, 2325570, 2351700, 2385200, 2406560, 2433600, 2445768, 2480608, 2499120, 2508480, 2547675, 2563200, 2576016, 2683350, 2707380, 2717520, 2776800, 2787200, 2790684, 2862240, 2887872, 2894400, 2920320, 3008200, 3010176, 3023241, 3057210, 3100760, 3123900, 3135600, 3220020, 3248856, 3261024, 3332160, 3384225, 3396900, 3434688, 3488355, 3577800, 3609840, 3623360, 3650400, 3702400, 3720912, 3762720, 3816320, 3844800, 3875950, 3998592, 4025025, 4030988, 4061070, 4076280, 4165200, 4180800, 4186026, 4293360, 4331808, 4348032, 4512300, 4529200, 4651140, 4703400, 4770400, 4813120, 4867200, 4891536, 4961216, 4998240, 5016960, 5038735, 5095350, 5152032, 5366700, 5414760, 5435040, 5553600, 5581368, 5724480, 5775744, 5788800, 5813925, 6016400, 6046482, 6114420, 6201520, 6247800, 6271200, 6440040, 6497712, 6522048, 6664320, 6768450, 6793800, 6869376, 6976710, 7155600, 7219680, 7246720, 7300800, 7441824, 7525440, 7643025, 7689600, 7751900, 8050050, 8061976, 8122140, 8152560, 8330400, 8361600, 8372052, 8586720, 8663616, 9024600, 9058400, 9069723, 9302280, 9406800, 9540800, 9626240, 9783072, 9922432, 9996480, 10077470, 10152675, 10190700, 10304064, 10465065, 10733400, 10829520, 10870080, 11107200, 11162736, 11448960, 11627850, 12032800, 12092964, 12228840, 12403040, 12495600, 12542400, 12880080, 12995424, 13044096, 13536900, 13587600, 13953420, 14311200, 14439360, 14601600, 14883648, 15050880, 15116205, 15286050, 15503800, 16100100, 16123952, 16244280, 16305120, 16660800, 16744104, 17173440, 17327232, 17441775, 18049200, 18116800, 18139446, 18604560, 18813600, 19081600, 19566144, 19992960, 20154940, 20305350, 20381400, 20608128, 20930130, 21466800, 21659040, 21740160, 22325472, 23255700, 24065600, 24185928, 24457680, 24806080, 24991200, 25084800, 25193675, 25760160, 25990848, 27073800, 27175200, 27209169, 27906840, 28622400, 28878720, 29767296, 30232410, 30572100, 31007600, 32200200, 32247904, 32488560, 32610240, 33321600, 33488208, 34346880, 34883550, 36098400, 36233600, 36278892, 37209120, 37627200, 39132288, 40309880, 40610700, 40762800, 41860260, 42933600, 43318080, 44650944, 45348615, 46511400, 48131200, 48371856, 48915360, 49612160, 49982400, 50387350, 51520320, 51981696, 52325325, 54147600, 54350400, 54418338, 55813680, 57244800, 60464820, 61144200, 62015200, 64400400, 64495808, 64977120, 65220480, 66976416, 69767100, 72196800, 72557784, 74418240, 75254400, 75581025, 80619760, 81221400, 81525600, 83720520, 85867200, 86636160, 89301888, 90697230, 93022800, 96743712, 97830720, 99964800, 100774700, 103040640, 104650650, 108295200, 108700800, 108836676, 111627360, 120929640, 122288400, 124030400, 128800800, 128991616, 129954240, 133952832, 136045845, 139534200, 144393600, 145115568, 148836480, 151162050, 161239520, 162442800, 163051200, 167441040, 171734400, 181394460, 186045600, 193487424, 195661440, 201549400, 209301300, 216590400, 217673352, 223254720, 226743075, 241859280, 244576800, 248060800, 257601600, 259908480, 267905664, 272091690, 279068400, 290231136, 302324100, 322479040, 324885600, 326102400, 334882080, 362788920, 372091200, 386974848, 403098800, 418602600, 433180800, 435346704, 446509440, 453486150, 483718560, 489153600, 515203200, 544183380, 558136800, 580462272, 604648200, 644958080, 649771200, 669764160, 680229225, 725577840, 744182400, 806197600, 837205200, 870693408, 906972300, 967437120, 978307200, 1088366760, 1116273600, 1160924544, 1209296400, 1299542400, 1339528320, 1360458450, 1451155680, 1612395200, 1674410400, 1741386816, 1813944600, 1934874240, 2176733520, 2232547200, 2418592800, 2720916900, 2902311360, 3224790400, 3348820800, 3482773632, 3627889200, 4353467040, 4837185600, 5441833800, 5804622720, 6697641600, 7255778400, 8706934080, 9674371200, 10883667600, 14511556800, 17413868160, 21767335200, 29023113600, 43534670400, 87069340800]

約数ペア:

[(1, 87069340800), (2, 43534670400), (3, 29023113600), (4, 21767335200), (5, 17413868160), (6, 14511556800), (8, 10883667600), (9, 9674371200), (10, 8706934080), (12, 7255778400), (13, 6697641600), (15, 5804622720), (16, 5441833800), (18, 4837185600), (20, 4353467040), (24, 3627889200), (25, 3482773632), (26, 3348820800), (27, 3224790400), (30, 2902311360), (32, 2720916900), (36, 2418592800), (39, 2232547200), (40, 2176733520), (45, 1934874240), (48, 1813944600), (50, 1741386816), (52, 1674410400), (54, 1612395200), (60, 1451155680), (64, 1360458450), (65, 1339528320), (67, 1299542400), (72, 1209296400), (75, 1160924544), (78, 1116273600), (80, 1088366760), (89, 978307200), (90, 967437120), (96, 906972300), (100, 870693408), (104, 837205200), (108, 806197600), (117, 744182400), (120, 725577840), (128, 680229225), (130, 669764160), (134, 649771200), (135, 644958080), (144, 604648200), (150, 580462272), (156, 558136800), (160, 544183380), (169, 515203200), (178, 489153600), (180, 483718560), (192, 453486150), (195, 446509440), (200, 435346704), (201, 433180800), (208, 418602600), (216, 403098800), (225, 386974848), (234, 372091200), (240, 362788920), (260, 334882080), (267, 326102400), (268, 324885600), (270, 322479040), (288, 302324100), (300, 290231136), (312, 279068400), (320, 272091690), (325, 267905664), (335, 259908480), (338, 257601600), (351, 248060800), (356, 244576800), (360, 241859280), (384, 226743075), (390, 223254720), (400, 217673352), (402, 216590400), (416, 209301300), (432, 201549400), (445, 195661440), (450, 193487424), (468, 186045600), (480, 181394460), (507, 171734400), (520, 167441040), (534, 163051200), (536, 162442800), (540, 161239520), (576, 151162050), (585, 148836480), (600, 145115568), (603, 144393600), (624, 139534200), (640, 136045845), (650, 133952832), (670, 129954240), (675, 128991616), (676, 128800800), (702, 124030400), (712, 122288400), (720, 120929640), (780, 111627360), (800, 108836676), (801, 108700800), (804, 108295200), (832, 104650650), (845, 103040640), (864, 100774700), (871, 99964800), (890, 97830720), (900, 96743712), (936, 93022800), (960, 90697230), (975, 89301888), (1005, 86636160), (1014, 85867200), (1040, 83720520), (1068, 81525600), (1072, 81221400), (1080, 80619760), (1152, 75581025), (1157, 75254400), (1170, 74418240), (1200, 72557784), (1206, 72196800), (1248, 69767100), (1300, 66976416), (1335, 65220480), (1340, 64977120), (1350, 64495808), (1352, 64400400), (1404, 62015200), (1424, 61144200), (1440, 60464820), (1521, 57244800), (1560, 55813680), (1600, 54418338), (1602, 54350400), (1608, 54147600), (1664, 52325325), (1675, 51981696), (1690, 51520320), (1728, 50387350), (1742, 49982400), (1755, 49612160), (1780, 48915360), (1800, 48371856), (1809, 48131200), (1872, 46511400), (1920, 45348615), (1950, 44650944), (2010, 43318080), (2028, 42933600), (2080, 41860260), (2136, 40762800), (2144, 40610700), (2160, 40309880), (2225, 39132288), (2314, 37627200), (2340, 37209120), (2400, 36278892), (2403, 36233600), (2412, 36098400), (2496, 34883550), (2535, 34346880), (2600, 33488208), (2613, 33321600), (2670, 32610240), (2680, 32488560), (2700, 32247904), (2704, 32200200), (2808, 31007600), (2848, 30572100), (2880, 30232410), (2925, 29767296), (3015, 28878720), (3042, 28622400), (3120, 27906840), (3200, 27209169), (3204, 27175200), (3216, 27073800), (3350, 25990848), (3380, 25760160), (3456, 25193675), (3471, 25084800), (3484, 24991200), (3510, 24806080), (3560, 24457680), (3600, 24185928), (3618, 24065600), (3744, 23255700), (3900, 22325472), (4005, 21740160), (4020, 21659040), (4056, 21466800), (4160, 20930130), (4225, 20608128), (4272, 20381400), (4288, 20305350), (4320, 20154940), (4355, 19992960), (4450, 19566144), (4563, 19081600), (4628, 18813600), (4680, 18604560), (4800, 18139446), (4806, 18116800), (4824, 18049200), (4992, 17441775), (5025, 17327232), (5070, 17173440), (5200, 16744104), (5226, 16660800), (5340, 16305120), (5360, 16244280), (5400, 16123952), (5408, 16100100), (5616, 15503800), (5696, 15286050), (5760, 15116205), (5785, 15050880), (5850, 14883648), (5963, 14601600), (6030, 14439360), (6084, 14311200), (6240, 13953420), (6408, 13587600), (6432, 13536900), (6675, 13044096), (6700, 12995424), (6760, 12880080), (6942, 12542400), (6968, 12495600), (7020, 12403040), (7120, 12228840), (7200, 12092964), (7236, 12032800), (7488, 11627850), (7605, 11448960), (7800, 11162736), (7839, 11107200), (8010, 10870080), (8040, 10829520), (8112, 10733400), (8320, 10465065), (8450, 10304064), (8544, 10190700), (8576, 10152675), (8640, 10077470), (8710, 9996480), (8775, 9922432), (8900, 9783072), (9045, 9626240), (9126, 9540800), (9256, 9406800), (9360, 9302280), (9600, 9069723), (9612, 9058400), (9648, 9024600), (10050, 8663616), (10140, 8586720), (10400, 8372052), (10413, 8361600), (10452, 8330400), (10680, 8152560), (10720, 8122140), (10800, 8061976), (10816, 8050050), (11232, 7751900), (11323, 7689600), (11392, 7643025), (11570, 7525440), (11700, 7441824), (11926, 7300800), (12015, 7246720), (12060, 7219680), (12168, 7155600), (12480, 6976710), (12675, 6869376), (12816, 6793800), (12864, 6768450), (13065, 6664320), (13350, 6522048), (13400, 6497712), (13520, 6440040), (13884, 6271200), (13936, 6247800), (14040, 6201520), (14240, 6114420), (14400, 6046482), (14472, 6016400), (14976, 5813925), (15041, 5788800), (15075, 5775744), (15210, 5724480), (15600, 5581368), (15678, 5553600), (16020, 5435040), (16080, 5414760), (16224, 5366700), (16900, 5152032), (17088, 5095350), (17280, 5038735), (17355, 5016960), (17420, 4998240), (17550, 4961216), (17800, 4891536), (17889, 4867200), (18090, 4813120), (18252, 4770400), (18512, 4703400), (18720, 4651140), (19224, 4529200), (19296, 4512300), (20025, 4348032), (20100, 4331808), (20280, 4293360), (20800, 4186026), (20826, 4180800), (20904, 4165200), (21360, 4076280), (21440, 4061070), (21600, 4030988), (21632, 4025025), (21775, 3998592), (22464, 3875950), (22646, 3844800), (22815, 3816320), (23140, 3762720), (23400, 3720912), (23517, 3702400), (23852, 3650400), (24030, 3623360), (24120, 3609840), (24336, 3577800), (24960, 3488355), (25350, 3434688), (25632, 3396900), (25728, 3384225), (26130, 3332160), (26700, 3261024), (26800, 3248856), (27040, 3220020), (27768, 3135600), (27872, 3123900), (28080, 3100760), (28480, 3057210), (28800, 3023241), (28925, 3010176), (28944, 3008200), (29815, 2920320), (30082, 2894400), (30150, 2887872), (30420, 2862240), (31200, 2790684), (31239, 2787200), (31356, 2776800), (32040, 2717520), (32160, 2707380), (32448, 2683350), (33800, 2576016), (33969, 2563200), (34176, 2547675), (34710, 2508480), (34840, 2499120), (35100, 2480608), (35600, 2445768), (35778, 2433600), (36180, 2406560), (36504, 2385200), (37024, 2351700), (37440, 2325570), (38025, 2289792), (38448, 2264600), (38592, 2256150), (39195, 2221440), (40050, 2174016), (40200, 2165904), (40560, 2146680), (41600, 2093013), (41652, 2090400), (41808, 2082600), (42720, 2038140), (42880, 2030535), (43200, 2015494), (43550, 1999296), (44928, 1937975), (45123, 1929600), (45225, 1925248), (45292, 1922400), (45630, 1908160), (46280, 1881360), (46800, 1860456), (47034, 1851200), (47704, 1825200), (48060, 1811680), (48240, 1804920), (48672, 1788900), (50700, 1717344), (51264, 1698450), (52065, 1672320), (52260, 1666080), (53400, 1630512), (53600, 1624428), (53667, 1622400), (54080, 1610010), (55536, 1567800), (55744, 1561950), (56160, 1550380), (56615, 1537920), (56960, 1528605), (57850, 1505088), (57888, 1504100), (59630, 1460160), (60075, 1449344), (60164, 1447200), (60300, 1443936), (60840, 1431120), (62400, 1395342), (62478, 1393600), (62712, 1388400), (64080, 1358760), (64320, 1353690), (64896, 1341675), (65325, 1332864), (67600, 1288008), (67938, 1281600), (69420, 1254240), (69680, 1249560), (70200, 1240304), (71200, 1222884), (71556, 1216800), (72360, 1203280), (73008, 1192600), (74048, 1175850), (74880, 1162785), (75205, 1157760), (76050, 1144896), (76896, 1132300), (77184, 1128075), (77519, 1123200), (78390, 1110720), (80100, 1087008), (80400, 1082952), (81120, 1073340), (83304, 1045200), (83616, 1041300), (85440, 1019070), (86400, 1007747), (86775, 1003392), (87100, 999648), (89445, 973440), (90246, 964800), (90450, 962624), (90584, 961200), (91260, 954080), (92560, 940680), (93600, 930228), (94068, 925600), (95408, 912600), (96120, 905840), (96480, 902460), (97344, 894450), (101400, 858672), (101907, 854400), (102528, 849225), (104130, 836160), (104520, 833040), (106800, 815256), (107200, 812214), (107334, 811200), (108160, 805005), (111072, 783900), (111488, 780975), (112320, 775190), (113230, 768960), (114075, 763264), (115700, 752544), (115776, 752050), (117585, 740480), (119260, 730080), (120150, 724672), (120328, 723600), (120600, 721968), (121680, 715560), (124800, 697671), (124956, 696800), (125424, 694200), (128160, 679380), (128640, 676845), (130650, 666432), (135200, 644004), (135369, 643200), (135876, 640800), (138840, 627120), (139360, 624780), (140400, 620152), (142400, 611442), (143112, 608400), (144720, 601640), (146016, 596300), (148096, 587925), (149075, 584064), (150410, 578880), (152100, 572448), (153792, 566150), (155038, 561600), (156195, 557440), (156780, 555360), (160200, 543504), (160800, 541476), (161001, 540800), (162240, 536670), (166608, 522600), (167232, 520650), (169845, 512640), (170880, 509535), (173550, 501696), (174200, 499824), (178890, 486720), (180492, 482400), (180900, 481312), (181168, 480600), (182520, 477040), (185120, 470340), (187200, 465114), (188136, 462800), (190816, 456300), (192240, 452920), (192960, 451230), (194688, 447225), (195975, 444288), (202800, 429336), (203814, 427200), (208260, 418080), (209040, 416520), (213600, 407628), (214400, 406107), (214668, 405600), (222144, 391950), (224640, 387595), (225615, 385920), (226460, 384480), (228150, 381632), (231400, 376272), (231552, 376025), (232557, 374400), (235170, 370240), (238520, 365040), (240300, 362336), (240656, 361800), (241200, 360984), (243360, 357780), (249912, 348400), (250848, 347100), (256320, 339690), (260325, 334464), (261300, 333216), (268335, 324480), (270400, 322002), (270738, 321600), (271752, 320400), (277680, 313560), (278720, 312390), (280800, 310076), (283075, 307584), (284800, 305721), (286224, 304200), (289440, 300820), (292032, 298150)]