42090048000

素因数分解:

$2^9\times 3^2\times 5^3\times 7^1\times {\mathrm{11}}^1\times {\mathrm{13}}^1\times {\mathrm{73}}^1$

素因数の和:143

約数の個数: 1920

約数和(自身を含む): 206335793664

約数和(自身を除く): 164245745664

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 28, 30, 32, 33, 35, 36, 39, 40, 42, 44, 45, 48, 50, 52, 55, 56, 60, 63, 64, 65, 66, 70, 72, 73, 75, 77, 78, 80, 84, 88, 90, 91, 96, 99, 100, 104, 105, 110, 112, 117, 120, 125, 126, 128, 130, 132, 140, 143, 144, 146, 150, 154, 156, 160, 165, 168, 175, 176, 180, 182, 192, 195, 198, 200, 208, 210, 219, 220, 224, 225, 231, 234, 240, 250, 252, 256, 260, 264, 273, 275, 280, 286, 288, 292, 300, 308, 312, 315, 320, 325, 330, 336, 350, 352, 360, 364, 365, 375, 384, 385, 390, 396, 400, 416, 420, 429, 438, 440, 448, 450, 455, 462, 468, 480, 495, 500, 504, 511, 512, 520, 525, 528, 546, 550, 560, 572, 576, 584, 585, 600, 616, 624, 630, 640, 650, 657, 660, 672, 693, 700, 704, 715, 720, 728, 730, 750, 768, 770, 780, 792, 800, 803, 819, 825, 832, 840, 858, 875, 876, 880, 896, 900, 910, 924, 936, 949, 960, 975, 990, 1000, 1001, 1008, 1022, 1040, 1050, 1056, 1092, 1095, 1100, 1120, 1125, 1144, 1152, 1155, 1168, 1170, 1200, 1232, 1248, 1260, 1280, 1287, 1300, 1314, 1320, 1344, 1365, 1375, 1386, 1400, 1408, 1430, 1440, 1456, 1460, 1500, 1533, 1536, 1540, 1560, 1575, 1584, 1600, 1606, 1625, 1638, 1650, 1664, 1680, 1716, 1750, 1752, 1760, 1792, 1800, 1820, 1825, 1848, 1872, 1898, 1920, 1925, 1950, 1980, 2000, 2002, 2016, 2044, 2080, 2100, 2112, 2145, 2184, 2190, 2200, 2240, 2250, 2275, 2288, 2304, 2310, 2336, 2340, 2400, 2409, 2464, 2475, 2496, 2520, 2555, 2560, 2574, 2600, 2625, 2628, 2640, 2688, 2730, 2750, 2772, 2800, 2816, 2847, 2860, 2880, 2912, 2920, 2925, 3000, 3003, 3066, 3080, 3120, 3150, 3168, 3200, 3212, 3250, 3276, 3285, 3300, 3328, 3360, 3432, 3465, 3500, 3504, 3520, 3575, 3584, 3600, 3640, 3650, 3696, 3744, 3796, 3840, 3850, 3900, 3960, 4000, 4004, 4015, 4032, 4088, 4095, 4125, 4160, 4200, 4224, 4290, 4368, 4380, 4400, 4480, 4500, 4550, 4576, 4599, 4608, 4620, 4672, 4680, 4745, 4800, 4818, 4875, 4928, 4950, 4992, 5005, 5040, 5110, 5148, 5200, 5250, 5256, 5280, 5376, 5460, 5475, 5500, 5544, 5600, 5621, 5632, 5694, 5720, 5760, 5775, 5824, 5840, 5850, 6000, 6006, 6132, 6160, 6240, 6300, 6336, 6400, 6424, 6435, 6500, 6552, 6570, 6600, 6643, 6656, 6720, 6825, 6864, 6930, 7000, 7008, 7040, 7150, 7200, 7227, 7280, 7300, 7392, 7488, 7592, 7665, 7680, 7700, 7800, 7875, 7920, 8000, 8008, 8030, 8064, 8176, 8190, 8250, 8320, 8400, 8448, 8541, 8580, 8736, 8760, 8800, 8960, 9000, 9009, 9100, 9125, 9152, 9198, 9240, 9344, 9360, 9490, 9600, 9625, 9636, 9750, 9856, 9900, 9984, 10010, 10080, 10220, 10296, 10400, 10439, 10500, 10512, 10560, 10725, 10752, 10920, 10950, 11000, 11088, 11200, 11242, 11375, 11388, 11440, 11520, 11550, 11648, 11680, 11700, 12000, 12012, 12045, 12264, 12320, 12375, 12480, 12600, 12672, 12775, 12800, 12848, 12870, 13000, 13104, 13140, 13200, 13286, 13440, 13650, 13728, 13860, 14000, 14016, 14080, 14235, 14300, 14400, 14454, 14560, 14600, 14625, 14784, 14976, 15015, 15184, 15330, 15400, 15600, 15750, 15840, 16000, 16016, 16060, 16128, 16352, 16380, 16425, 16500, 16640, 16800, 16863, 16896, 17082, 17160, 17325, 17472, 17520, 17600, 17875, 17920, 18000, 18018, 18200, 18250, 18304, 18396, 18480, 18688, 18720, 18980, 19200, 19250, 19272, 19500, 19712, 19800, 19929, 19968, 20020, 20075, 20160, 20440, 20475, 20592, 20800, 20878, 21000, 21024, 21120, 21450, 21840, 21900, 22000, 22176, 22400, 22484, 22750, 22776, 22880, 22995, 23040, 23100, 23296, 23360, 23400, 23725, 24000, 24024, 24090, 24528, 24640, 24750, 24960, 25025, 25200, 25344, 25550, 25696, 25740, 26000, 26208, 26280, 26400, 26572, 26880, 27300, 27375, 27456, 27720, 28000, 28032, 28105, 28160, 28470, 28600, 28800, 28875, 28908, 29120, 29200, 29250, 29568, 29952, 30030, 30368, 30660, 30800, 31200, 31317, 31500, 31680, 32000, 32032, 32120, 32175, 32256, 32704, 32760, 32850, 33000, 33215, 33280, 33600, 33726, 34125, 34164, 34320, 34650, 34944, 35040, 35200, 35750, 36000, 36036, 36135, 36400, 36500, 36608, 36792, 36960, 37376, 37440, 37960, 38325, 38400, 38500, 38544, 39000, 39424, 39600, 39858, 40040, 40150, 40320, 40880, 40950, 41184, 41600, 41756, 42000, 42048, 42240, 42705, 42900, 43680, 43800, 44000, 44352, 44800, 44968, 45045, 45500, 45552, 45760, 45990, 46200, 46592, 46720, 46800, 47450, 48000, 48048, 48180, 49056, 49280, 49500, 49920, 50050, 50400, 50589, 50688, 51100, 51392, 51480, 52000, 52195, 52416, 52560, 52800, 53144, 53625, 53760, 54600, 54750, 54912, 55440, 56000, 56064, 56210, 56940, 57200, 57600, 57750, 57816, 58240, 58400, 58500, 59136, 59787, 59904, 60060, 60225, 60736, 61320, 61600, 62400, 62634, 63000, 63360, 63875, 64000, 64064, 64240, 64350, 65408, 65520, 65700, 66000, 66430, 67200, 67452, 68250, 68328, 68640, 69300, 69888, 70080, 70400, 71175, 71500, 72000, 72072, 72270, 72800, 73000, 73073, 73216, 73584, 73920, 74880, 75075, 75920, 76650, 77000, 77088, 78000, 79200, 79716, 80080, 80300, 80640, 81760, 81900, 82125, 82368, 83200, 83512, 84000, 84096, 84315, 84480, 85410, 85800, 86625, 87360, 87600, 88000, 88704, 89600, 89936, 90090, 91000, 91104, 91520, 91980, 92400, 93440, 93600, 93951, 94900, 96000, 96096, 96360, 98112, 98560, 99000, 99645, 99840, 100100, 100375, 100800, 101178, 102200, 102375, 102784, 102960, 104000, 104390, 104832, 105120, 105600, 106288, 107250, 109200, 109500, 109824, 110880, 112000, 112128, 112420, 113880, 114400, 114975, 115200, 115500, 115632, 116480, 116800, 117000, 118272, 118625, 119574, 120120, 120450, 121472, 122640, 123200, 124800, 125125, 125268, 126000, 126720, 127750, 128128, 128480, 128700, 130816, 131040, 131400, 132000, 132860, 134400, 134904, 136500, 136656, 137280, 138600, 139776, 140160, 140525, 140800, 142350, 143000, 144000, 144144, 144540, 145600, 146000, 146146, 147168, 147840, 149760, 150150, 151840, 153300, 154000, 154176, 156000, 156585, 158400, 159432, 160160, 160600, 160875, 161280, 163520, 163800, 164250, 164736, 166075, 166400, 167024, 168000, 168192, 168630, 170820, 171600, 173250, 174720, 175200, 176000, 177408, 179872, 180180, 180675, 182000, 182208, 183040, 183960, 184800, 186880, 187200, 187902, 189800, 191625, 192000, 192192, 192720, 196224, 197120, 198000, 199290, 200200, 200750, 201600, 202356, 204400, 204750, 205568, 205920, 208000, 208780, 209664, 210240, 211200, 212576, 213525, 214500, 218400, 219000, 219219, 219648, 221760, 224000, 224840, 225225, 227760, 228800, 229950, 231000, 231264, 232960, 233600, 234000, 237250, 239148, 240240, 240900, 242944, 245280, 246400, 249600, 250250, 250536, 252000, 252945, 253440, 255500, 256256, 256960, 257400, 260975, 261632, 262080, 262800, 264000, 265720, 268800, 269808, 273000, 273312, 274560, 277200, 280320, 281050, 284700, 286000, 288000, 288288, 289080, 291200, 292000, 292292, 294336, 295680, 298935, 299520, 300300, 301125, 303680, 306600, 308000, 308352, 312000, 313170, 316800, 318864, 320320, 321200, 321750, 327040, 327600, 328500, 329472, 332150, 334048, 336000, 336384, 337260, 341640, 343200, 346500, 349440, 350400, 352000, 354816, 355875, 359744, 360360, 361350, 364000, 364416, 365365, 366080, 367920, 369600, 374400, 375375, 375804, 379600, 383250, 384384, 385440, 392448, 396000, 398580, 400400, 401500, 403200, 404712, 408800, 409500, 411136, 411840, 416000, 417560, 419328, 420480, 421575, 422400, 425152, 427050, 429000, 436800, 438000, 438438, 443520, 448000, 449680, 450450, 455520, 457600, 459900, 462000, 462528, 467200, 468000, 469755, 474500, 478296, 480480, 481800, 485888, 490560, 492800, 498225, 499200, 500500, 501072, 504000, 505890, 511000, 512512, 513920, 514800, 521950, 524160, 525600, 528000, 531440, 539616, 546000, 546624, 549120, 554400, 560640, 562100, 569400, 572000, 574875, 576000, 576576, 578160, 582400, 584000, 584584, 588672, 591360, 597870, 600600, 602250, 607360, 613200, 616000, 616704, 624000, 626340, 633600, 637728, 640640, 642400, 643500, 654080, 655200, 657000, 657657, 658944, 664300, 668096, 672000, 674520, 683280, 686400, 693000, 698880, 700800, 702625, 704000, 711750, 719488, 720720, 722700, 728000, 728832, 730730, 735840, 739200, 748800, 750750, 751608, 759200, 766500, 768768, 770880, 782925, 784896, 792000, 797160, 800800, 803000, 806400, 809424, 817600, 819000, 823680, 830375, 832000, 835120, 840960, 843150, 850304, 854100, 858000, 873600, 876000, 876876, 887040, 899360, 900900, 903375, 911040, 915200, 919800, 924000, 925056, 934400, 936000, 939510, 949000, 956592, 960960, 963600, 981120, 985600, 996450, 1001000, 1002144, 1008000, 1011780, 1022000, 1027840, 1029600, 1043900, 1048320, 1051200, 1056000, 1062880, 1067625, 1079232, 1092000, 1093248, 1096095, 1098240, 1108800, 1124200, 1126125, 1138800, 1144000, 1149750, 1153152, 1156320, 1164800, 1168000, 1169168, 1177344, 1195740, 1201200, 1204500, 1214720, 1226400, 1232000, 1233408, 1248000, 1252680, 1264725, 1267200, 1275456, 1281280, 1284800, 1287000, 1304875, 1308160, 1310400, 1314000, 1315314, 1328600, 1336192, 1344000, 1349040, 1366560, 1372800, 1386000, 1401600, 1405250, 1423500, 1438976, 1441440, 1445400, 1456000, 1457664, 1461460, 1471680, 1478400, 1494675, 1497600, 1501500, 1503216, 1518400, 1533000, 1537536, 1541760, 1565850, 1584000, 1594320, 1601600, 1606000, 1618848, 1635200, 1638000, 1647360, 1660750, 1670240, 1681920, 1686300, 1700608, 1708200, 1716000, 1747200, 1752000, 1753752, 1774080, 1798720, 1801800, 1806750, 1822080, 1826825, 1830400, 1839600, 1848000, 1850112, 1872000, 1879020, 1898000, 1913184, 1921920, 1927200, 1962240, 1992900, 2002000, 2004288, 2016000, 2023560, 2044000, 2055680, 2059200, 2087800, 2096640, 2102400, 2107875, 2112000, 2125760, 2135250, 2158464, 2184000, 2186496, 2192190, 2217600, 2248400, 2252250, 2277600, 2288000, 2299500, 2306304, 2312640, 2336000, 2338336, 2348775, 2354688, 2391480, 2402400, 2409000, 2429440, 2452800, 2464000, 2491125, 2496000, 2505360, 2529450, 2550912, 2562560, 2569600, 2574000, 2609750, 2620800, 2628000, 2630628, 2657200, 2672384, 2698080, 2733120, 2745600, 2772000, 2803200, 2810500, 2847000, 2877952, 2882880, 2890800, 2912000, 2922920, 2943360, 2956800, 2989350, 3003000, 3006432, 3036800, 3066000, 3083520, 3131700, 3168000, 3188640, 3203200, 3212000, 3237696, 3270400, 3276000, 3288285, 3294720, 3321500, 3340480, 3372600, 3401216, 3416400, 3432000, 3494400, 3504000, 3507504, 3597440, 3603600, 3613500, 3644160, 3653650, 3679200, 3696000, 3700224, 3744000, 3758040, 3796000, 3826368, 3843840, 3854400, 3914625, 3924480, 3985800, 4004000, 4008576, 4032000, 4047120, 4088000, 4118400, 4175600, 4204800, 4215750, 4251520, 4270500, 4316928, 4368000, 4372992, 4384380, 4435200, 4496800, 4504500, 4555200, 4576000, 4599000, 4612608, 4625280, 4672000, 4676672, 4697550, 4782960, 4804800, 4818000, 4905600, 4928000, 4982250, 5010720, 5058900, 5101824, 5139200, 5148000, 5219500, 5241600, 5256000, 5261256, 5314400, 5344768, 5396160, 5466240, 5480475, 5491200, 5544000, 5621000, 5694000, 5765760, 5781600, 5824000, 5845840, 5886720, 5978700, 6006000, 6012864, 6073600, 6132000, 6167040, 6263400, 6323625, 6336000, 6377280, 6406400, 6424000, 6475392, 6540800, 6552000, 6576570, 6643000, 6680960, 6745200, 6832800, 6864000, 7008000, 7015008, 7194880, 7207200, 7227000, 7288320, 7307300, 7358400, 7392000, 7473375, 7488000, 7516080, 7592000, 7652736, 7687680, 7708800, 7829250, 7971600, 8008000, 8017152, 8094240, 8176000, 8236800, 8351200, 8409600, 8431500, 8503040, 8541000, 8633856, 8736000, 8768760, 8870400, 8993600, 9009000, 9110400, 9134125, 9152000, 9198000, 9250560, 9353344, 9395100, 9565920, 9609600, 9636000, 9811200, 9964500, 10021440, 10117800, 10203648, 10278400, 10296000, 10439000, 10483200, 10512000, 10522512, 10628800, 10792320, 10932480, 10960950, 11088000, 11242000, 11388000, 11531520, 11563200, 11691680, 11743875, 11773440, 11957400, 12012000, 12025728, 12147200, 12264000, 12526800, 12647250, 12754560, 12812800, 12848000, 12950784, 13104000, 13153140, 13286000, 13361920, 13490400, 13665600, 13728000, 14016000, 14030016, 14389760, 14414400, 14454000, 14614600, 14716800, 14784000, 14946750, 15032160, 15184000, 15305472, 15417600, 15658500, 15943200, 16016000, 16034304, 16188480, 16352000, 16441425, 16473600, 16702400, 16863000, 17006080, 17082000, 17472000, 17537520, 17987200, 18018000, 18220800, 18268250, 18396000, 18501120, 18706688, 18790200, 19131840, 19219200, 19272000, 19622400, 19929000, 20042880, 20235600, 20592000, 20878000, 21024000, 21045024, 21257600, 21584640, 21864960, 21921900, 22176000, 22484000, 22776000, 23063040, 23126400, 23383360, 23487750, 23914800, 24024000, 24051456, 24528000, 25053600, 25294500, 25509120, 25696000, 25901568, 26208000, 26306280, 26572000, 26723840, 26980800, 27331200, 27402375, 27456000, 28060032, 28828800, 28908000, 29229200, 29433600, 29893500, 30064320, 30368000, 30610944, 30835200, 31317000, 31886400, 32032000, 32376960, 32704000, 32882850, 33404800, 33726000, 34164000, 35075040, 35974400, 36036000, 36441600, 36536500, 36792000, 37413376, 37580400, 38263680, 38438400, 38544000, 39858000, 40085760, 40471200, 41184000, 41756000, 42048000, 42090048, 42515200, 43169280, 43843800, 44352000, 44968000, 45552000, 46252800, 46766720, 46975500, 47829600, 48048000, 48102912, 49056000, 50107200, 50589000, 51018240, 51392000, 52416000, 52612560, 53144000, 53961600, 54662400, 54804750, 56120064, 57657600, 57816000, 58458400, 58867200, 59787000, 60128640, 60736000, 62634000, 63772800, 64064000, 64753920, 65765700, 66809600, 67452000, 68328000, 70150080, 71948800, 72072000, 73073000, 73584000, 75160800, 76527360, 77088000, 79716000, 80171520, 80942400, 82207125, 82368000, 83512000, 84180096, 85030400, 87687600, 89936000, 91104000, 92505600, 93533440, 93951000, 95659200, 96096000, 98112000, 100214400, 101178000, 105225120, 106288000, 107923200, 109324800, 109609500, 112240128, 115315200, 115632000, 116916800, 119574000, 120257280, 125268000, 127545600, 129507840, 131531400, 133619200, 134904000, 136656000, 140300160, 144144000, 146146000, 147168000, 150321600, 153054720, 154176000, 159432000, 161884800, 164414250, 167024000, 168360192, 175375200, 179872000, 182208000, 187066880, 187902000, 191318400, 192192000, 200428800, 202356000, 210450240, 212576000, 215846400, 219219000, 231264000, 233833600, 239148000, 240514560, 250536000, 255091200, 263062800, 269808000, 273312000, 280600320, 288288000, 292292000, 294336000, 300643200, 318864000, 323769600, 328828500, 334048000, 336720384, 350750400, 359744000, 375804000, 382636800, 400857600, 404712000, 420900480, 425152000, 438438000, 462528000, 467667200, 478296000, 501072000, 526125600, 539616000, 546624000, 561200640, 576576000, 584584000, 601286400, 637728000, 647539200, 657657000, 668096000, 701500800, 751608000, 765273600, 809424000, 841800960, 876876000, 935334400, 956592000, 1002144000, 1052251200, 1079232000, 1169168000, 1202572800, 1275456000, 1315314000, 1403001600, 1503216000, 1618848000, 1683601920, 1753752000, 1913184000, 2004288000, 2104502400, 2338336000, 2630628000, 2806003200, 3006432000, 3237696000, 3507504000, 3826368000, 4209004800, 4676672000, 5261256000, 6012864000, 7015008000, 8418009600, 10522512000, 14030016000, 21045024000, 42090048000]

約数ペア:

[(1, 42090048000), (2, 21045024000), (3, 14030016000), (4, 10522512000), (5, 8418009600), (6, 7015008000), (7, 6012864000), (8, 5261256000), (9, 4676672000), (10, 4209004800), (11, 3826368000), (12, 3507504000), (13, 3237696000), (14, 3006432000), (15, 2806003200), (16, 2630628000), (18, 2338336000), (20, 2104502400), (21, 2004288000), (22, 1913184000), (24, 1753752000), (25, 1683601920), (26, 1618848000), (28, 1503216000), (30, 1403001600), (32, 1315314000), (33, 1275456000), (35, 1202572800), (36, 1169168000), (39, 1079232000), (40, 1052251200), (42, 1002144000), (44, 956592000), (45, 935334400), (48, 876876000), (50, 841800960), (52, 809424000), (55, 765273600), (56, 751608000), (60, 701500800), (63, 668096000), (64, 657657000), (65, 647539200), (66, 637728000), (70, 601286400), (72, 584584000), (73, 576576000), (75, 561200640), (77, 546624000), (78, 539616000), (80, 526125600), (84, 501072000), (88, 478296000), (90, 467667200), (91, 462528000), (96, 438438000), (99, 425152000), 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