42065049600

素因数分解:

$2^{11}\times 3^6\times 5^2\times 7^2\times {\mathrm{23}}^1$

素因数の和:87

約数の個数: 1512

約数和(自身を含む): 189811210680

約数和(自身を除く): 147746161080

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 23, 24, 25, 27, 28, 30, 32, 35, 36, 40, 42, 45, 46, 48, 49, 50, 54, 56, 60, 63, 64, 69, 70, 72, 75, 80, 81, 84, 90, 92, 96, 98, 100, 105, 108, 112, 115, 120, 126, 128, 135, 138, 140, 144, 147, 150, 160, 161, 162, 168, 175, 180, 184, 189, 192, 196, 200, 207, 210, 216, 224, 225, 230, 240, 243, 245, 252, 256, 270, 276, 280, 288, 294, 300, 315, 320, 322, 324, 336, 345, 350, 360, 368, 378, 384, 392, 400, 405, 414, 420, 432, 441, 448, 450, 460, 480, 483, 486, 490, 504, 512, 525, 540, 552, 560, 567, 575, 576, 588, 600, 621, 630, 640, 644, 648, 672, 675, 690, 700, 720, 729, 735, 736, 756, 768, 784, 800, 805, 810, 828, 840, 864, 882, 896, 900, 920, 945, 960, 966, 972, 980, 1008, 1024, 1035, 1050, 1080, 1104, 1120, 1127, 1134, 1150, 1152, 1176, 1200, 1215, 1225, 1242, 1260, 1280, 1288, 1296, 1323, 1344, 1350, 1380, 1400, 1440, 1449, 1458, 1470, 1472, 1512, 1536, 1568, 1575, 1600, 1610, 1620, 1656, 1680, 1701, 1725, 1728, 1764, 1792, 1800, 1840, 1863, 1890, 1920, 1932, 1944, 1960, 2016, 2025, 2048, 2070, 2100, 2160, 2205, 2208, 2240, 2254, 2268, 2300, 2304, 2352, 2400, 2415, 2430, 2450, 2484, 2520, 2560, 2576, 2592, 2646, 2688, 2700, 2760, 2800, 2835, 2880, 2898, 2916, 2940, 2944, 3024, 3072, 3105, 3136, 3150, 3200, 3220, 3240, 3312, 3360, 3381, 3402, 3450, 3456, 3528, 3584, 3600, 3645, 3675, 3680, 3726, 3780, 3840, 3864, 3888, 3920, 3969, 4025, 4032, 4050, 4140, 4200, 4320, 4347, 4410, 4416, 4480, 4508, 4536, 4600, 4608, 4704, 4725, 4800, 4830, 4860, 4900, 4968, 5040, 5103, 5120, 5152, 5175, 5184, 5292, 5376, 5400, 5520, 5589, 5600, 5635, 5670, 5760, 5796, 5832, 5880, 5888, 6048, 6075, 6144, 6210, 6272, 6300, 6400, 6440, 6480, 6615, 6624, 6720, 6762, 6804, 6900, 6912, 7056, 7168, 7200, 7245, 7290, 7350, 7360, 7452, 7560, 7680, 7728, 7776, 7840, 7938, 8050, 8064, 8100, 8280, 8400, 8505, 8640, 8694, 8820, 8832, 8960, 9016, 9072, 9200, 9216, 9315, 9408, 9450, 9600, 9660, 9720, 9800, 9936, 10080, 10143, 10206, 10240, 10304, 10350, 10368, 10584, 10752, 10800, 11025, 11040, 11178, 11200, 11270, 11340, 11520, 11592, 11664, 11760, 11776, 11907, 12075, 12096, 12150, 12420, 12544, 12600, 12800, 12880, 12960, 13041, 13230, 13248, 13440, 13524, 13608, 13800, 13824, 14112, 14175, 14336, 14400, 14490, 14580, 14700, 14720, 14904, 15120, 15360, 15456, 15525, 15552, 15680, 15876, 16100, 16128, 16200, 16560, 16767, 16800, 16905, 17010, 17280, 17388, 17640, 17664, 17920, 18032, 18144, 18225, 18400, 18432, 18630, 18816, 18900, 19200, 19320, 19440, 19600, 19845, 19872, 20160, 20286, 20412, 20608, 20700, 20736, 21168, 21504, 21600, 21735, 22050, 22080, 22356, 22400, 22540, 22680, 23040, 23184, 23328, 23520, 23552, 23814, 24150, 24192, 24300, 24840, 25088, 25200, 25515, 25600, 25760, 25920, 26082, 26460, 26496, 26880, 27048, 27216, 27600, 27648, 27945, 28175, 28224, 28350, 28800, 28980, 29160, 29400, 29440, 29808, 30240, 30429, 30720, 30912, 31050, 31104, 31360, 31752, 32200, 32256, 32400, 33075, 33120, 33534, 33600, 33810, 34020, 34560, 34776, 35280, 35328, 35721, 35840, 36064, 36225, 36288, 36450, 36800, 37260, 37632, 37800, 38400, 38640, 38880, 39123, 39200, 39690, 39744, 40320, 40572, 40824, 41216, 41400, 41472, 42336, 42525, 43008, 43200, 43470, 44100, 44160, 44712, 44800, 45080, 45360, 46080, 46368, 46575, 46656, 47040, 47104, 47628, 48300, 48384, 48600, 49680, 50176, 50400, 50715, 51030, 51200, 51520, 51840, 52164, 52920, 52992, 53760, 54096, 54432, 55200, 55296, 55890, 56350, 56448, 56700, 57600, 57960, 58320, 58800, 58880, 59535, 59616, 60480, 60858, 61824, 62100, 62208, 62720, 63504, 64400, 64512, 64800, 65205, 66150, 66240, 67068, 67200, 67620, 68040, 69120, 69552, 70560, 70656, 71442, 71680, 72128, 72450, 72576, 72900, 73600, 74520, 75264, 75600, 76800, 77280, 77760, 78246, 78400, 79380, 79488, 80640, 81144, 81648, 82432, 82800, 82944, 83835, 84525, 84672, 85050, 86400, 86940, 88200, 88320, 89424, 89600, 90160, 90720, 91287, 92160, 92736, 93150, 93312, 94080, 95256, 96600, 96768, 97200, 99225, 99360, 100352, 100800, 101430, 102060, 103040, 103680, 104328, 105840, 105984, 107520, 108192, 108675, 108864, 110400, 111780, 112700, 112896, 113400, 115200, 115920, 116640, 117369, 117600, 117760, 119070, 119232, 120960, 121716, 123648, 124200, 124416, 125440, 127008, 127575, 128800, 129024, 129600, 130410, 132300, 132480, 134136, 134400, 135240, 136080, 138240, 139104, 139725, 141120, 141312, 142884, 144256, 144900, 145152, 145800, 147200, 149040, 150528, 151200, 152145, 153600, 154560, 155520, 156492, 156800, 158760, 158976, 161280, 162288, 163296, 164864, 165600, 165888, 167670, 169050, 169344, 170100, 172800, 173880, 176400, 176640, 178605, 178848, 179200, 180320, 181440, 182574, 185472, 186300, 186624, 188160, 190512, 193200, 193536, 194400, 195615, 198450, 198720, 201600, 202860, 204120, 206080, 207360, 208656, 211680, 211968, 215040, 216384, 217350, 217728, 220800, 223560, 225400, 225792, 226800, 230400, 231840, 233280, 234738, 235200, 235520, 238140, 238464, 241920, 243432, 247296, 248400, 248832, 250880, 253575, 254016, 255150, 257600, 259200, 260820, 264600, 264960, 268272, 268800, 270480, 272160, 273861, 276480, 278208, 279450, 282240, 285768, 288512, 289800, 290304, 291600, 294400, 297675, 298080, 301056, 302400, 304290, 309120, 311040, 312984, 313600, 317520, 317952, 322560, 324576, 326025, 326592, 329728, 331200, 335340, 338100, 338688, 340200, 345600, 347760, 352800, 353280, 357210, 357696, 358400, 360640, 362880, 365148, 370944, 372600, 373248, 376320, 381024, 386400, 387072, 388800, 391230, 396900, 397440, 403200, 405720, 408240, 412160, 414720, 417312, 419175, 423360, 423936, 432768, 434700, 435456, 441600, 447120, 450800, 451584, 453600, 456435, 460800, 463680, 466560, 469476, 470400, 476280, 476928, 483840, 486864, 494592, 496800, 497664, 501760, 507150, 508032, 510300, 515200, 518400, 521640, 529200, 529920, 536544, 537600, 540960, 544320, 547722, 556416, 558900, 564480, 571536, 577024, 579600, 580608, 583200, 586845, 588800, 595350, 596160, 604800, 608580, 618240, 622080, 625968, 627200, 635040, 635904, 645120, 649152, 652050, 653184, 662400, 670680, 676200, 677376, 680400, 691200, 695520, 705600, 706560, 714420, 715392, 721280, 725760, 730296, 741888, 745200, 746496, 752640, 760725, 762048, 772800, 777600, 782460, 793800, 794880, 806400, 811440, 816480, 821583, 824320, 829440, 834624, 838350, 846720, 865536, 869400, 870912, 883200, 893025, 894240, 901600, 903168, 907200, 912870, 927360, 933120, 938952, 940800, 952560, 953856, 967680, 973728, 978075, 989184, 993600, 1014300, 1016064, 1020600, 1030400, 1036800, 1043280, 1058400, 1059840, 1073088, 1075200, 1081920, 1088640, 1095444, 1112832, 1117800, 1128960, 1143072, 1154048, 1159200, 1161216, 1166400, 1173690, 1177600, 1190700, 1192320, 1209600, 1217160, 1236480, 1244160, 1251936, 1254400, 1270080, 1271808, 1298304, 1304100, 1306368, 1324800, 1341360, 1352400, 1354752, 1360800, 1369305, 1382400, 1391040, 1411200, 1428840, 1430784, 1442560, 1451520, 1460592, 1483776, 1490400, 1492992, 1505280, 1521450, 1524096, 1545600, 1555200, 1564920, 1587600, 1589760, 1612800, 1622880, 1632960, 1643166, 1648640, 1669248, 1676700, 1693440, 1731072, 1738800, 1741824, 1766400, 1786050, 1788480, 1803200, 1814400, 1825740, 1854720, 1866240, 1877904, 1881600, 1905120, 1907712, 1935360, 1947456, 1956150, 1987200, 2028600, 2032128, 2041200, 2060800, 2073600, 2086560, 2116800, 2119680, 2146176, 2163840, 2177280, 2190888, 2225664, 2235600, 2257920, 2282175, 2286144, 2308096, 2318400, 2332800, 2347380, 2381400, 2384640, 2419200, 2434320, 2472960, 2488320, 2503872, 2508800, 2540160, 2596608, 2608200, 2612736, 2649600, 2682720, 2704800, 2709504, 2721600, 2738610, 2782080, 2822400, 2857680, 2861568, 2885120, 2903040, 2921184, 2934225, 2967552, 2980800, 3042900, 3048192, 3091200, 3110400, 3129840, 3175200, 3179520, 3225600, 3245760, 3265920, 3286332, 3338496, 3353400, 3386880, 3462144, 3477600, 3483648, 3532800, 3572100, 3576960, 3606400, 3628800, 3651480, 3709440, 3732480, 3755808, 3763200, 3810240, 3815424, 3894912, 3912300, 3974400, 4057200, 4064256, 4082400, 4107915, 4121600, 4147200, 4173120, 4233600, 4292352, 4327680, 4354560, 4381776, 4451328, 4471200, 4515840, 4564350, 4572288, 4636800, 4665600, 4694760, 4762800, 4769280, 4838400, 4868640, 4945920, 5007744, 5080320, 5193216, 5216400, 5225472, 5299200, 5365440, 5409600, 5443200, 5477220, 5564160, 5644800, 5715360, 5723136, 5770240, 5806080, 5842368, 5868450, 5961600, 6085800, 6096384, 6182400, 6220800, 6259680, 6350400, 6359040, 6491520, 6531840, 6572664, 6676992, 6706800, 6773760, 6846525, 6924288, 6955200, 7144200, 7153920, 7212800, 7257600, 7302960, 7418880, 7464960, 7511616, 7526400, 7620480, 7789824, 7824600, 7948800, 8114400, 8128512, 8164800, 8215830, 8243200, 8346240, 8467200, 8584704, 8655360, 8709120, 8763552, 8902656, 8942400, 9128700, 9144576, 9273600, 9331200, 9389520, 9525600, 9538560, 9676800, 9737280, 10015488, 10160640, 10386432, 10432800, 10450944, 10598400, 10730880, 10819200, 10886400, 10954440, 11128320, 11289600, 11430720, 11446272, 11540480, 11684736, 11736900, 11923200, 12171600, 12192768, 12364800, 12441600, 12519360, 12700800, 12983040, 13063680, 13145328, 13353984, 13413600, 13547520, 13693050, 13910400, 14288400, 14307840, 14425600, 14515200, 14605920, 14837760, 15023232, 15240960, 15579648, 15649200, 15897600, 16228800, 16329600, 16431660, 16692480, 16934400, 17169408, 17310720, 17418240, 17527104, 17884800, 18257400, 18289152, 18547200, 18662400, 18779040, 19051200, 19077120, 19474560, 20030976, 20321280, 20539575, 20772864, 20865600, 21461760, 21638400, 21772800, 21908880, 22256640, 22579200, 22861440, 23369472, 23473800, 23846400, 24343200, 24385536, 24729600, 25038720, 25401600, 25966080, 26127360, 26290656, 26707968, 26827200, 27386100, 27820800, 28576800, 28615680, 28851200, 29030400, 29211840, 30046464, 30481920, 31159296, 31298400, 31795200, 32457600, 32659200, 32863320, 33384960, 33868800, 34338816, 34621440, 35054208, 35769600, 36514800, 36578304, 37094400, 37324800, 37558080, 38102400, 38949120, 40061952, 40642560, 41079150, 41731200, 42923520, 43276800, 43545600, 43817760, 44513280, 45722880, 46738944, 46947600, 47692800, 48686400, 50077440, 50803200, 51932160, 52254720, 52581312, 53654400, 54772200, 55641600, 57153600, 57231360, 57702400, 58423680, 60092928, 60963840, 62318592, 62596800, 64915200, 65318400, 65726640, 66769920, 67737600, 70108416, 71539200, 73029600, 73156608, 74188800, 75116160, 76204800, 77898240, 80123904, 82158300, 83462400, 85847040, 86553600, 87091200, 87635520, 91445760, 93477888, 93895200, 95385600, 97372800, 100154880, 101606400, 103864320, 105162624, 107308800, 109544400, 111283200, 114307200, 116847360, 120185856, 121927680, 125193600, 129830400, 130636800, 131453280, 133539840, 140216832, 143078400, 146059200, 150232320, 152409600, 155796480, 164316600, 166924800, 171694080, 173107200, 175271040, 182891520, 186955776, 187790400, 194745600, 200309760, 203212800, 210325248, 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約数ペア:

[(1, 42065049600), (2, 21032524800), (3, 14021683200), (4, 10516262400), (5, 8413009920), (6, 7010841600), (7, 6009292800), (8, 5258131200), (9, 4673894400), (10, 4206504960), (12, 3505420800), (14, 3004646400), (15, 2804336640), (16, 2629065600), (18, 2336947200), (20, 2103252480), (21, 2003097600), (23, 1828915200), (24, 1752710400), (25, 1682601984), (27, 1557964800), (28, 1502323200), (30, 1402168320), (32, 1314532800), (35, 1201858560), (36, 1168473600), (40, 1051626240), (42, 1001548800), (45, 934778880), (46, 914457600), (48, 876355200), (49, 858470400), (50, 841300992), (54, 778982400), (56, 751161600), (60, 701084160), (63, 667699200), (64, 657266400), (69, 609638400), (70, 600929280), (72, 584236800), (75, 560867328), (80, 525813120), (81, 519321600), (84, 500774400), (90, 467389440), (92, 457228800), (96, 438177600), (98, 429235200), (100, 420650496), (105, 400619520), (108, 389491200), (112, 375580800), (115, 365783040), (120, 350542080), (126, 333849600), (128, 328633200), (135, 311592960), (138, 304819200), (140, 300464640), (144, 292118400), (147, 286156800), (150, 280433664), (160, 262906560), (161, 261273600), (162, 259660800), (168, 250387200), (175, 240371712), (180, 233694720), (184, 228614400), (189, 222566400), (192, 219088800), (196, 214617600), (200, 210325248), (207, 203212800), (210, 200309760), (216, 194745600), (224, 187790400), (225, 186955776), (230, 182891520), (240, 175271040), (243, 173107200), (245, 171694080), (252, 166924800), (256, 164316600), (270, 155796480), (276, 152409600), (280, 150232320), (288, 146059200), (294, 143078400), (300, 140216832), (315, 133539840), (320, 131453280), (322, 130636800), (324, 129830400), (336, 125193600), (345, 121927680), (350, 120185856), (360, 116847360), (368, 114307200), (378, 111283200), (384, 109544400), (392, 107308800), (400, 105162624), (405, 103864320), (414, 101606400), (420, 100154880), (432, 97372800), (441, 95385600), (448, 93895200), (450, 93477888), (460, 91445760), (480, 87635520), (483, 87091200), (486, 86553600), (490, 85847040), (504, 83462400), (512, 82158300), (525, 80123904), (540, 77898240), (552, 76204800), (560, 75116160), (567, 74188800), (575, 73156608), (576, 73029600), (588, 71539200), (600, 70108416), (621, 67737600), (630, 66769920), (640, 65726640), (644, 65318400), (648, 64915200), (672, 62596800), (675, 62318592), (690, 60963840), (700, 60092928), (720, 58423680), (729, 57702400), (735, 57231360), (736, 57153600), (756, 55641600), (768, 54772200), (784, 53654400), (800, 52581312), (805, 52254720), (810, 51932160), (828, 50803200), (840, 50077440), (864, 48686400), (882, 47692800), (896, 46947600), (900, 46738944), (920, 45722880), (945, 44513280), (960, 43817760), (966, 43545600), (972, 43276800), (980, 42923520), (1008, 41731200), (1024, 41079150), (1035, 40642560), (1050, 40061952), (1080, 38949120), (1104, 38102400), (1120, 37558080), (1127, 37324800), (1134, 37094400), (1150, 36578304), (1152, 36514800), (1176, 35769600), (1200, 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