42420470400

素因数分解:

$2^7\times 3^2\times 5^2\times 7^1\times {\mathrm{11}}^2\times {\mathrm{37}}^1\times {\mathrm{47}}^1$

素因数の和:143

約数の個数: 1728

約数和(自身を含む): 199439735040

約数和(自身を除く): 157019264640

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 28, 30, 32, 33, 35, 36, 37, 40, 42, 44, 45, 47, 48, 50, 55, 56, 60, 63, 64, 66, 70, 72, 74, 75, 77, 80, 84, 88, 90, 94, 96, 99, 100, 105, 110, 111, 112, 120, 121, 126, 128, 132, 140, 141, 144, 148, 150, 154, 160, 165, 168, 175, 176, 180, 185, 188, 192, 198, 200, 210, 220, 222, 224, 225, 231, 235, 240, 242, 252, 259, 264, 275, 280, 282, 288, 296, 300, 308, 315, 320, 329, 330, 333, 336, 350, 352, 360, 363, 370, 376, 384, 385, 396, 400, 407, 420, 423, 440, 444, 448, 450, 462, 470, 480, 484, 495, 504, 517, 518, 525, 528, 550, 555, 560, 564, 576, 592, 600, 605, 616, 630, 640, 658, 660, 666, 672, 693, 700, 704, 705, 720, 726, 740, 752, 770, 777, 792, 800, 814, 825, 840, 846, 847, 880, 888, 896, 900, 924, 925, 940, 960, 968, 987, 990, 1008, 1034, 1036, 1050, 1056, 1089, 1100, 1110, 1120, 1128, 1152, 1155, 1175, 1184, 1200, 1210, 1221, 1232, 1260, 1295, 1316, 1320, 1332, 1344, 1386, 1400, 1408, 1410, 1440, 1452, 1480, 1504, 1540, 1551, 1554, 1575, 1584, 1600, 1628, 1645, 1650, 1665, 1680, 1692, 1694, 1739, 1760, 1776, 1800, 1815, 1848, 1850, 1880, 1920, 1925, 1936, 1974, 1980, 2016, 2035, 2068, 2072, 2100, 2112, 2115, 2178, 2200, 2220, 2240, 2256, 2310, 2331, 2350, 2368, 2400, 2420, 2442, 2464, 2475, 2520, 2541, 2585, 2590, 2632, 2640, 2664, 2688, 2772, 2775, 2800, 2820, 2849, 2880, 2904, 2960, 2961, 3008, 3025, 3080, 3102, 3108, 3150, 3168, 3200, 3256, 3290, 3300, 3330, 3360, 3384, 3388, 3465, 3478, 3520, 3525, 3552, 3600, 3619, 3630, 3663, 3696, 3700, 3760, 3850, 3872, 3885, 3948, 3960, 4032, 4070, 4136, 4144, 4200, 4224, 4230, 4235, 4356, 4400, 4440, 4477, 4480, 4512, 4620, 4653, 4662, 4700, 4736, 4800, 4840, 4884, 4928, 4935, 4950, 5040, 5082, 5170, 5180, 5217, 5264, 5280, 5328, 5445, 5544, 5550, 5600, 5640, 5687, 5698, 5760, 5775, 5808, 5920, 5922, 6016, 6050, 6105, 6160, 6204, 6216, 6300, 6336, 6475, 6512, 6580, 6600, 6660, 6720, 6768, 6776, 6930, 6956, 7040, 7050, 7104, 7200, 7238, 7260, 7326, 7392, 7400, 7520, 7623, 7700, 7744, 7755, 7770, 7896, 7920, 8064, 8140, 8225, 8272, 8288, 8325, 8400, 8460, 8470, 8547, 8695, 8712, 8800, 8880, 8954, 9024, 9075, 9240, 9306, 9324, 9400, 9600, 9680, 9768, 9856, 9870, 9900, 10080, 10164, 10175, 10340, 10360, 10434, 10528, 10560, 10575, 10656, 10857, 10890, 11088, 11100, 11200, 11280, 11374, 11396, 11550, 11616, 11655, 11840, 11844, 12100, 12173, 12210, 12320, 12408, 12432, 12600, 12672, 12705, 12925, 12950, 13024, 13160, 13200, 13320, 13431, 13440, 13536, 13552, 13860, 13912, 14100, 14208, 14245, 14400, 14476, 14520, 14652, 14784, 14800, 14805, 15040, 15246, 15400, 15488, 15510, 15540, 15651, 15792, 15840, 16280, 16450, 16544, 16576, 16650, 16800, 16920, 16940, 17061, 17094, 17325, 17390, 17424, 17600, 17760, 17908, 18048, 18095, 18150, 18315, 18480, 18612, 18648, 18800, 19129, 19360, 19425, 19536, 19740, 19800, 20160, 20328, 20350, 20680, 20720, 20868, 21056, 21120, 21150, 21175, 21312, 21714, 21780, 22176, 22200, 22385, 22400, 22560, 22748, 22792, 23100, 23232, 23265, 23310, 23680, 23688, 24200, 24346, 24420, 24640, 24675, 24816, 24864, 25200, 25410, 25641, 25850, 25900, 26048, 26085, 26320, 26400, 26640, 26862, 27072, 27104, 27225, 27720, 27824, 28200, 28435, 28490, 28800, 28952, 29040, 29304, 29568, 29600, 29610, 30080, 30492, 30525, 30800, 31020, 31080, 31302, 31339, 31584, 31680, 32560, 32571, 32900, 33088, 33152, 33300, 33600, 33840, 33880, 34122, 34188, 34650, 34780, 34848, 35200, 35520, 35816, 36190, 36300, 36519, 36630, 36960, 37224, 37296, 37600, 38115, 38258, 38720, 38775, 38850, 39072, 39480, 39600, 39809, 40293, 40320, 40656, 40700, 41360, 41440, 41736, 42112, 42300, 42350, 42624, 42735, 43428, 43475, 43560, 44352, 44400, 44770, 45120, 45496, 45584, 46200, 46464, 46530, 46620, 47376, 48400, 48692, 48840, 49280, 49350, 49632, 49728, 50400, 50820, 51183, 51282, 51700, 51800, 52096, 52170, 52640, 52800, 53280, 53724, 54144, 54208, 54285, 54450, 55440, 55648, 56400, 56870, 56980, 57387, 57904, 58080, 58275, 58608, 59200, 59220, 60865, 60984, 61050, 61600, 62040, 62160, 62604, 62678, 63168, 63360, 63525, 65120, 65142, 65800, 66176, 66600, 67155, 67200, 67680, 67760, 68244, 68376, 69300, 69560, 69696, 71040, 71225, 71632, 72380, 72600, 73038, 73260, 73920, 74025, 74448, 74592, 75200, 76230, 76516, 77440, 77550, 77700, 78144, 78255, 78960, 79200, 79618, 80586, 81312, 81400, 82720, 82880, 83472, 84600, 84700, 85305, 85470, 86856, 86950, 87120, 88704, 88800, 89540, 90240, 90475, 90992, 91168, 91575, 92400, 93060, 93240, 94017, 94752, 95645, 96800, 97384, 97680, 98700, 99264, 99456, 100800, 101640, 102366, 102564, 103400, 103600, 104340, 105280, 105600, 106560, 107448, 108416, 108570, 108900, 109557, 110880, 111296, 111925, 112800, 113740, 113960, 114774, 115808, 116160, 116325, 116550, 117216, 118400, 118440, 119427, 121730, 121968, 122100, 123200, 124080, 124320, 125208, 125356, 126336, 127050, 128205, 130240, 130284, 130425, 131600, 133200, 133903, 134310, 135360, 135520, 136488, 136752, 138600, 139120, 139392, 142175, 142450, 143264, 144760, 145200, 146076, 146520, 147840, 148050, 148896, 149184, 150400, 152460, 153032, 155100, 155400, 156288, 156510, 156695, 157920, 158400, 159236, 161172, 162624, 162800, 162855, 165440, 165760, 166944, 169200, 169400, 170610, 170940, 172161, 173712, 173900, 174240, 177600, 179080, 180950, 181984, 182336, 182595, 183150, 184800, 186120, 186480, 188034, 189504, 190575, 191290, 193600, 194768, 195360, 197400, 198528, 199045, 201465, 201600, 203280, 204732, 205128, 206800, 207200, 208680, 210419, 210560, 213120, 213675, 214896, 217140, 217800, 219114, 221760, 222592, 223850, 225600, 227480, 227920, 229548, 231616, 232320, 232650, 233100, 234432, 236880, 238854, 243460, 243936, 244200, 246400, 248160, 248640, 250416, 250712, 254100, 255915, 256410, 260480, 260568, 260850, 263200, 266400, 267806, 268620, 270720, 271040, 271425, 272976, 273504, 277200, 278240, 282051, 284350, 284900, 286528, 286935, 289520, 290400, 292152, 293040, 296100, 297792, 298368, 304325, 304920, 306064, 310200, 310800, 313020, 313390, 315840, 316800, 318472, 322344, 325248, 325600, 325710, 330880, 333888, 335775, 338400, 338800, 341220, 341880, 344322, 347424, 347800, 348480, 355200, 358160, 358281, 361900, 363968, 364672, 365190, 366300, 369600, 372240, 372960, 376068, 379008, 381150, 382580, 387200, 389536, 390720, 391275, 394800, 398090, 401709, 402930, 406560, 409464, 410256, 413600, 414400, 417360, 420838, 426525, 427350, 429792, 434280, 435600, 438228, 443520, 447700, 451200, 454960, 455840, 459096, 463232, 465300, 466200, 468864, 470085, 473760, 477708, 478225, 486920, 487872, 488400, 496320, 497280, 500832, 501424, 508200, 511830, 512820, 521136, 521700, 526400, 532800, 535612, 537240, 542080, 542850, 545952, 547008, 547785, 554400, 556480, 564102, 568700, 569800, 573056, 573870, 579040, 580800, 584304, 586080, 592200, 595584, 597135, 608650, 609840, 612128, 620400, 621600, 626040, 626780, 631257, 631680, 636944, 641025, 644688, 651200, 651420, 667776, 669515, 671550, 676800, 677600, 682440, 683760, 688644, 694848, 695600, 696960, 716320, 716562, 723800, 727936, 730380, 732600, 739200, 744480, 745920, 752136, 762300, 765160, 779072, 781440, 782550, 783475, 789600, 796180, 803418, 805860, 813120, 814275, 818928, 820512, 827200, 828800, 834720, 841676, 853050, 854700, 859584, 860805, 868560, 871200, 876456, 895400, 909920, 911680, 912975, 918192, 930600, 932400, 940170, 947520, 955416, 956450, 973840, 975744, 976800, 992640, 995225, 1001664, 1002848, 1007325, 1016400, 1023660, 1025640, 1042272, 1043400, 1052095, 1052800, 1065600, 1071224, 1074480, 1085700, 1091904, 1094016, 1095570, 1108800, 1112960, 1128204, 1137400, 1139600, 1147740, 1158080, 1161600, 1168608, 1172160, 1184400, 1194270, 1205127, 1217300, 1219680, 1224256, 1240800, 1243200, 1252080, 1253560, 1262514, 1273888, 1279575, 1282050, 1289376, 1302400, 1302840, 1339030, 1343100, 1353600, 1355200, 1364880, 1367520, 1377288, 1389696, 1391200, 1410255, 1432640, 1433124, 1434675, 1447600, 1460760, 1465200, 1472933, 1488960, 1491840, 1504272, 1524600, 1530320, 1558144, 1565100, 1566950, 1579200, 1592360, 1606836, 1611720, 1626240, 1628550, 1637856, 1641024, 1654400, 1669440, 1683352, 1706100, 1709400, 1719168, 1721610, 1737120, 1742400, 1752912, 1790800, 1791405, 1819840, 1823360, 1825950, 1836384, 1861200, 1864800, 1880340, 1893771, 1895040, 1910832, 1912900, 1947680, 1953600, 1990450, 2003328, 2005696, 2008545, 2014650, 2032800, 2047320, 2051280, 2084544, 2086800, 2104190, 2142448, 2148960, 2171400, 2183808, 2191140, 2217600, 2256408, 2274800, 2279200, 2295480, 2316160, 2337216, 2344320, 2350425, 2368800, 2388540, 2410254, 2434600, 2439360, 2448512, 2481600, 2486400, 2504160, 2507120, 2525028, 2547776, 2559150, 2564100, 2578752, 2605680, 2678060, 2686200, 2710400, 2729760, 2735040, 2738925, 2754576, 2782400, 2820510, 2865280, 2866248, 2869350, 2895200, 2921520, 2930400, 2945866, 2977920, 2985675, 3008544, 3049200, 3060640, 3130200, 3133900, 3156285, 3158400, 3184720, 3213672, 3223440, 3257100, 3275712, 3282048, 3338880, 3347575, 3366704, 3412200, 3418800, 3443220, 3474240, 3484800, 3505824, 3581600, 3582810, 3639680, 3651900, 3672768, 3722400, 3729600, 3760680, 3787542, 3821664, 3825800, 3895360, 3907200, 3980900, 4011392, 4017090, 4029300, 4065600, 4094640, 4102560, 4169088, 4173600, 4208380, 4284896, 4297920, 4304025, 4342800, 4382280, 4418799, 4512816, 4549600, 4558400, 4590960, 4674432, 4700850, 4737600, 4777080, 4820508, 4869200, 4878720, 4963200, 5008320, 5014240, 5050056, 5095552, 5118300, 5128200, 5157504, 5211360, 5260475, 5356120, 5372400, 5459520, 5470080, 5477850, 5509152, 5564800, 5641020, 5732496, 5738700, 5790400, 5843040, 5860800, 5891732, 5971350, 6017088, 6025635, 6098400, 6121280, 6260400, 6267800, 6312570, 6369440, 6427344, 6446880, 6514200, 6551424, 6695150, 6733408, 6824400, 6837600, 6886440, 6948480, 7011648, 7051275, 7163200, 7165620, 7303800, 7345536, 7364665, 7444800, 7459200, 7521360, 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約数ペア:

[(1, 42420470400), (2, 21210235200), (3, 14140156800), (4, 10605117600), (5, 8484094080), (6, 7070078400), (7, 6060067200), (8, 5302558800), (9, 4713385600), (10, 4242047040), (11, 3856406400), (12, 3535039200), (14, 3030033600), (15, 2828031360), (16, 2651279400), (18, 2356692800), (20, 2121023520), (21, 2020022400), (22, 1928203200), (24, 1767519600), (25, 1696818816), (28, 1515016800), (30, 1414015680), (32, 1325639700), (33, 1285468800), (35, 1212013440), (36, 1178346400), (37, 1146499200), (40, 1060511760), (42, 1010011200), (44, 964101600), (45, 942677120), (47, 902563200), (48, 883759800), (50, 848409408), (55, 771281280), (56, 757508400), (60, 707007840), (63, 673340800), (64, 662819850), (66, 642734400), (70, 606006720), (72, 589173200), (74, 573249600), (75, 565606272), (77, 550915200), (80, 530255880), (84, 505005600), (88, 482050800), (90, 471338560), (94, 451281600), (96, 441879900), (99, 428489600), (100, 424204704), (105, 404004480), (110, 385640640), (111, 382166400), (112, 378754200), (120, 353503920), (121, 350582400), (126, 336670400), (128, 331409925), (132, 321367200), (140, 303003360), (141, 300854400), (144, 294586600), (148, 286624800), (150, 282803136), (154, 275457600), (160, 265127940), (165, 257093760), (168, 252502800), (175, 242402688), (176, 241025400), (180, 235669280), (185, 229299840), (188, 225640800), (192, 220939950), (198, 214244800), (200, 212102352), (210, 202002240), (220, 192820320), (222, 191083200), (224, 189377100), (225, 188535424), (231, 183638400), (235, 180512640), (240, 176751960), (242, 175291200), (252, 168335200), (259, 163785600), (264, 160683600), (275, 154256256), (280, 151501680), (282, 150427200), (288, 147293300), (296, 143312400), (300, 141401568), (308, 137728800), (315, 134668160), (320, 132563970), (329, 128937600), (330, 128546880), (333, 127388800), (336, 126251400), (350, 121201344), (352, 120512700), (360, 117834640), (363, 116860800), (370, 114649920), (376, 112820400), (384, 110469975), (385, 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