83411328000

素因数分解:

$2^{10}\times 3^1\times 5^3\times 7^2\times {\mathrm{11}}^1\times {\mathrm{13}}^1\times {\mathrm{31}}^1$

素因数の和:107

約数の個数: 2112

約数和(自身を含む): 391414173696

約数和(自身を除く): 308002845696

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 20, 21, 22, 24, 25, 26, 28, 30, 31, 32, 33, 35, 39, 40, 42, 44, 48, 49, 50, 52, 55, 56, 60, 62, 64, 65, 66, 70, 75, 77, 78, 80, 84, 88, 91, 93, 96, 98, 100, 104, 105, 110, 112, 120, 124, 125, 128, 130, 132, 140, 143, 147, 150, 154, 155, 156, 160, 165, 168, 175, 176, 182, 186, 192, 195, 196, 200, 208, 210, 217, 220, 224, 231, 240, 245, 248, 250, 256, 260, 264, 273, 275, 280, 286, 294, 300, 308, 310, 312, 320, 325, 330, 336, 341, 350, 352, 364, 372, 375, 384, 385, 390, 392, 400, 403, 416, 420, 429, 434, 440, 448, 455, 462, 465, 480, 490, 496, 500, 512, 520, 525, 528, 539, 546, 550, 560, 572, 588, 600, 616, 620, 624, 637, 640, 650, 651, 660, 672, 682, 700, 704, 715, 728, 735, 744, 750, 768, 770, 775, 780, 784, 800, 806, 825, 832, 840, 858, 868, 875, 880, 896, 910, 924, 930, 960, 975, 980, 992, 1000, 1001, 1023, 1024, 1040, 1050, 1056, 1078, 1085, 1092, 1100, 1120, 1144, 1155, 1176, 1200, 1209, 1225, 1232, 1240, 1248, 1274, 1280, 1300, 1302, 1320, 1344, 1364, 1365, 1375, 1400, 1408, 1430, 1456, 1470, 1488, 1500, 1519, 1536, 1540, 1550, 1560, 1568, 1600, 1612, 1617, 1625, 1650, 1664, 1680, 1705, 1716, 1736, 1750, 1760, 1792, 1820, 1848, 1860, 1911, 1920, 1925, 1950, 1960, 1984, 2000, 2002, 2015, 2046, 2080, 2100, 2112, 2145, 2156, 2170, 2184, 2200, 2240, 2275, 2288, 2310, 2325, 2352, 2387, 2400, 2418, 2450, 2464, 2480, 2496, 2548, 2560, 2600, 2604, 2625, 2640, 2688, 2695, 2728, 2730, 2750, 2800, 2816, 2821, 2860, 2912, 2940, 2976, 3000, 3003, 3038, 3072, 3080, 3100, 3120, 3136, 3185, 3200, 3224, 3234, 3250, 3255, 3300, 3328, 3360, 3410, 3432, 3472, 3500, 3520, 3575, 3584, 3640, 3675, 3696, 3720, 3822, 3840, 3850, 3875, 3900, 3920, 3968, 4000, 4004, 4030, 4092, 4125, 4160, 4200, 4224, 4290, 4312, 4340, 4368, 4400, 4433, 4480, 4550, 4557, 4576, 4620, 4650, 4704, 4774, 4800, 4836, 4875, 4900, 4928, 4960, 4992, 5005, 5096, 5115, 5120, 5200, 5208, 5250, 5280, 5376, 5390, 5425, 5456, 5460, 5500, 5600, 5632, 5642, 5720, 5775, 5824, 5880, 5952, 6000, 6006, 6045, 6076, 6125, 6160, 6200, 6240, 6272, 6370, 6400, 6448, 6468, 6500, 6510, 6600, 6656, 6720, 6820, 6825, 6864, 6944, 7000, 7007, 7040, 7150, 7161, 7168, 7280, 7350, 7392, 7440, 7595, 7644, 7680, 7700, 7750, 7800, 7840, 7936, 8000, 8008, 8060, 8085, 8184, 8250, 8320, 8400, 8448, 8463, 8525, 8580, 8624, 8680, 8736, 8800, 8866, 8960, 9100, 9114, 9152, 9240, 9300, 9408, 9548, 9555, 9600, 9625, 9672, 9750, 9800, 9856, 9920, 9984, 10010, 10075, 10192, 10230, 10400, 10416, 10500, 10560, 10725, 10752, 10780, 10850, 10912, 10920, 11000, 11200, 11264, 11284, 11375, 11440, 11550, 11625, 11648, 11760, 11904, 11935, 12000, 12012, 12090, 12152, 12250, 12320, 12400, 12480, 12544, 12740, 12800, 12896, 12936, 13000, 13020, 13200, 13299, 13312, 13440, 13475, 13640, 13650, 13728, 13888, 14000, 14014, 14080, 14105, 14300, 14322, 14560, 14700, 14784, 14880, 15015, 15190, 15288, 15360, 15400, 15500, 15600, 15680, 15872, 15925, 16000, 16016, 16120, 16170, 16275, 16368, 16500, 16640, 16709, 16800, 16896, 16926, 17050, 17160, 17248, 17360, 17472, 17600, 17732, 17875, 17920, 18200, 18228, 18304, 18375, 18480, 18600, 18816, 19096, 19110, 19200, 19250, 19344, 19500, 19600, 19712, 19747, 19840, 19968, 20020, 20150, 20384, 20460, 20800, 20832, 21000, 21021, 21120, 21450, 21504, 21560, 21700, 21824, 21840, 22000, 22165, 22400, 22568, 22750, 22785, 22880, 23100, 23250, 23296, 23520, 23808, 23870, 24000, 24024, 24180, 24304, 24500, 24640, 24800, 24960, 25025, 25088, 25480, 25575, 25600, 25792, 25872, 26000, 26040, 26400, 26598, 26880, 26950, 27125, 27280, 27300, 27456, 27776, 28000, 28028, 28160, 28210, 28600, 28644, 28875, 29120, 29400, 29568, 29760, 30030, 30225, 30380, 30576, 30800, 31000, 31031, 31200, 31360, 31744, 31850, 32000, 32032, 32240, 32340, 32550, 32736, 33000, 33280, 33418, 33600, 33792, 33852, 34100, 34125, 34320, 34496, 34720, 34944, 35035, 35200, 35464, 35750, 35805, 35840, 36400, 36456, 36608, 36750, 36960, 37200, 37632, 37975, 38192, 38220, 38400, 38500, 38688, 39000, 39200, 39424, 39494, 39680, 39936, 40040, 40300, 40425, 40768, 40920, 41600, 41664, 42000, 42042, 42240, 42315, 42625, 42900, 43120, 43400, 43648, 43680, 44000, 44330, 44800, 45136, 45500, 45570, 45760, 46200, 46500, 46592, 47040, 47616, 47740, 47775, 48000, 48048, 48360, 48608, 49000, 49280, 49600, 49920, 50050, 50127, 50176, 50375, 50960, 51150, 51584, 51744, 52000, 52080, 52800, 53196, 53625, 53760, 53900, 54250, 54560, 54600, 54912, 55552, 56000, 56056, 56320, 56420, 57200, 57288, 57750, 58240, 58800, 59136, 59241, 59520, 59675, 60060, 60450, 60760, 61152, 61600, 62000, 62062, 62400, 62720, 63700, 64000, 64064, 64480, 64680, 65100, 65472, 66000, 66495, 66560, 66836, 67200, 67375, 67704, 68200, 68250, 68640, 68992, 69440, 69888, 70070, 70400, 70525, 70928, 71500, 71610, 72800, 72912, 73216, 73500, 73920, 74400, 75075, 75264, 75950, 76384, 76440, 76800, 77000, 77376, 78000, 78400, 78848, 78988, 79360, 79625, 80080, 80600, 80850, 81375, 81536, 81840, 83200, 83328, 83545, 84000, 84084, 84480, 84630, 85250, 85800, 86240, 86800, 87296, 87360, 88000, 88660, 89600, 90272, 91000, 91140, 91520, 92400, 93000, 93093, 93184, 94080, 95232, 95480, 95550, 96000, 96096, 96720, 97216, 98000, 98560, 98735, 99200, 99840, 100100, 100254, 100750, 101920, 102300, 103168, 103488, 104000, 104160, 105105, 105600, 106392, 107250, 107520, 107800, 108500, 109120, 109200, 109824, 110825, 111104, 112000, 112112, 112840, 113925, 114400, 114576, 115500, 116480, 117600, 118272, 118482, 119040, 119350, 120120, 120900, 121520, 122304, 123200, 124000, 124124, 124800, 125125, 125440, 127400, 127875, 128000, 128128, 128960, 129360, 130200, 130944, 132000, 132990, 133672, 134400, 134750, 135408, 136400, 136500, 137280, 137984, 138880, 139776, 140140, 140800, 141050, 141856, 143000, 143220, 145600, 145824, 146432, 147000, 147840, 148800, 150150, 150528, 151125, 151900, 152768, 152880, 154000, 154752, 155155, 156000, 156800, 157976, 158720, 159250, 160160, 161200, 161700, 162750, 163072, 163680, 166400, 166656, 167090, 168000, 168168, 168960, 169260, 170500, 171600, 172480, 173600, 174592, 174720, 175175, 176000, 177320, 179025, 179200, 180544, 182000, 182280, 183040, 184800, 186000, 186186, 188160, 189875, 190960, 191100, 192000, 192192, 193440, 194432, 196000, 197120, 197470, 198400, 199680, 200200, 200508, 201500, 202125, 203840, 204600, 206336, 206976, 208000, 208320, 210210, 211200, 211575, 212784, 214500, 215600, 217000, 217217, 218240, 218400, 219648, 221650, 222208, 224000, 224224, 225680, 227850, 228800, 229152, 231000, 232960, 235200, 236544, 236964, 238080, 238700, 238875, 240240, 241800, 243040, 244608, 246400, 248000, 248248, 249600, 250250, 250635, 250880, 254800, 255750, 256256, 257920, 258720, 260400, 261888, 264000, 265980, 267344, 268800, 269500, 270816, 272800, 273000, 274560, 275968, 277760, 279552, 280280, 281600, 282100, 283712, 286000, 286440, 291200, 291648, 294000, 295680, 296205, 297600, 298375, 300300, 302250, 303800, 305536, 305760, 308000, 309504, 310310, 312000, 313600, 315952, 318500, 320320, 322400, 323400, 325500, 326144, 327360, 332475, 332800, 333312, 334180, 336000, 336336, 338520, 341000, 343200, 344960, 347200, 349184, 349440, 350350, 352000, 352625, 354640, 358050, 361088, 364000, 364560, 366080, 369600, 372000, 372372, 375375, 376320, 379750, 381920, 382200, 384000, 384384, 386880, 388864, 392000, 394240, 394940, 396800, 400400, 401016, 403000, 404250, 407680, 409200, 412672, 413952, 416000, 416640, 417725, 420420, 422400, 423150, 425568, 429000, 431200, 434000, 434434, 436480, 436800, 439296, 443300, 448000, 448448, 451360, 455700, 457600, 458304, 462000, 465465, 465920, 470400, 473928, 476160, 477400, 477750, 480480, 483600, 486080, 489216, 492800, 493675, 496000, 496496, 499200, 500500, 501270, 509600, 511500, 512512, 515840, 517440, 520800, 523776, 525525, 528000, 531960, 534688, 537600, 539000, 541632, 545600, 546000, 549120, 551936, 554125, 555520, 560560, 564200, 567424, 569625, 572000, 572880, 582400, 583296, 588000, 591360, 592410, 595200, 596750, 600600, 604500, 607600, 611072, 611520, 616000, 619008, 620620, 624000, 627200, 631904, 637000, 640640, 644800, 646800, 651000, 651651, 652288, 654720, 664950, 666624, 668360, 672000, 672672, 677040, 682000, 686400, 689920, 694400, 698880, 700700, 704000, 705250, 709280, 716100, 722176, 728000, 729120, 732160, 739200, 744000, 744744, 750750, 752640, 759500, 763840, 764400, 768768, 773760, 775775, 777728, 784000, 789880, 793600, 800800, 802032, 806000, 808500, 815360, 818400, 827904, 832000, 833280, 835450, 840840, 844800, 846300, 851136, 858000, 862400, 868000, 868868, 872960, 873600, 875875, 886600, 895125, 896000, 896896, 902720, 911400, 915200, 916608, 924000, 930930, 940800, 947856, 954800, 955500, 960960, 967200, 972160, 978432, 985600, 987350, 992000, 992992, 998400, 1001000, 1002540, 1019200, 1023000, 1025024, 1031680, 1034880, 1041600, 1047552, 1051050, 1056000, 1057875, 1063920, 1069376, 1078000, 1083264, 1086085, 1091200, 1092000, 1098240, 1108250, 1111040, 1121120, 1128400, 1134848, 1139250, 1144000, 1145760, 1164800, 1166592, 1176000, 1182720, 1184820, 1190400, 1193500, 1201200, 1209000, 1215200, 1222144, 1223040, 1232000, 1238016, 1241240, 1248000, 1253175, 1254400, 1263808, 1274000, 1281280, 1289600, 1293600, 1302000, 1303302, 1309440, 1329900, 1336720, 1344000, 1345344, 1354080, 1364000, 1372800, 1379840, 1388800, 1397760, 1401400, 1408000, 1410500, 1418560, 1432200, 1444352, 1456000, 1458240, 1478400, 1481025, 1488000, 1489488, 1501500, 1519000, 1527680, 1528800, 1537536, 1547520, 1551550, 1555456, 1568000, 1579760, 1601600, 1604064, 1612000, 1617000, 1630720, 1636800, 1655808, 1662375, 1664000, 1666560, 1670900, 1681680, 1692600, 1702272, 1716000, 1724800, 1736000, 1737736, 1745920, 1747200, 1751750, 1773200, 1790250, 1793792, 1805440, 1822800, 1830400, 1833216, 1848000, 1861860, 1881600, 1895712, 1909600, 1911000, 1921920, 1934400, 1944320, 1956864, 1971200, 1974700, 1984000, 1985984, 2002000, 2005080, 2038400, 2046000, 2063360, 2069760, 2083200, 2088625, 2102100, 2112000, 2115750, 2127840, 2138752, 2156000, 2166528, 2172170, 2182400, 2184000, 2196480, 2216500, 2242240, 2256800, 2269696, 2278500, 2288000, 2291520, 2327325, 2329600, 2333184, 2352000, 2369640, 2380800, 2387000, 2402400, 2418000, 2430400, 2444288, 2446080, 2464000, 2468375, 2482480, 2496000, 2506350, 2527616, 2548000, 2562560, 2579200, 2587200, 2604000, 2606604, 2618880, 2627625, 2659800, 2673440, 2688000, 2690688, 2708160, 2728000, 2745600, 2759680, 2777600, 2802800, 2821000, 2837120, 2864400, 2888704, 2912000, 2916480, 2956800, 2962050, 2976000, 2978976, 3003000, 3038000, 3055360, 3057600, 3075072, 3095040, 3103100, 3136000, 3159520, 3203200, 3208128, 3224000, 3234000, 3258255, 3261440, 3273600, 3324750, 3333120, 3341800, 3363360, 3385200, 3404544, 3432000, 3449600, 3472000, 3475472, 3494400, 3503500, 3546400, 3580500, 3587584, 3610880, 3645600, 3660800, 3666432, 3696000, 3723720, 3763200, 3791424, 3819200, 3822000, 3843840, 3868800, 3878875, 3888640, 3949400, 3968000, 3971968, 4004000, 4010160, 4076800, 4092000, 4139520, 4166400, 4177250, 4204200, 4224000, 4231500, 4255680, 4277504, 4312000, 4333056, 4344340, 4364800, 4368000, 4433000, 4484480, 4513600, 4539392, 4557000, 4576000, 4583040, 4654650, 4666368, 4704000, 4739280, 4774000, 4804800, 4836000, 4860800, 4892160, 4928000, 4936750, 4964960, 4992000, 5012700, 5055232, 5096000, 5125120, 5158400, 5174400, 5208000, 5213208, 5237760, 5255250, 5319600, 5346880, 5381376, 5416320, 5430425, 5456000, 5491200, 5555200, 5605600, 5642000, 5674240, 5728800, 5824000, 5832960, 5913600, 5924100, 5952000, 5957952, 6006000, 6076000, 6110720, 6115200, 6190080, 6206200, 6265875, 6272000, 6319040, 6406400, 6416256, 6448000, 6468000, 6516510, 6547200, 6649500, 6683600, 6726720, 6770400, 6809088, 6864000, 6899200, 6944000, 6950944, 6988800, 7007000, 7092800, 7161000, 7175168, 7221760, 7291200, 7332864, 7392000, 7405125, 7447440, 7582848, 7638400, 7644000, 7687680, 7737600, 7757750, 7777280, 7898800, 7943936, 8008000, 8020320, 8153600, 8184000, 8279040, 8332800, 8354500, 8408400, 8463000, 8511360, 8555008, 8624000, 8666112, 8688680, 8729600, 8736000, 8866000, 8968960, 9027200, 9114000, 9152000, 9166080, 9309300, 9408000, 9478560, 9548000, 9609600, 9672000, 9721600, 9784320, 9856000, 9873500, 9929920, 10025400, 10110464, 10192000, 10316800, 10348800, 10416000, 10426416, 10510500, 10639200, 10693760, 10762752, 10832640, 10860850, 10912000, 10982400, 11211200, 11284000, 11348480, 11457600, 11636625, 11648000, 11665920, 11848200, 11904000, 11915904, 12012000, 12152000, 12221440, 12230400, 12412400, 12531750, 12638080, 12812800, 12832512, 12896000, 12936000, 13033020, 13094400, 13299000, 13367200, 13453440, 13540800, 13618176, 13728000, 13798400, 13888000, 13901888, 14014000, 14185600, 14322000, 14443520, 14582400, 14784000, 14810250, 14894880, 15165696, 15276800, 15288000, 15375360, 15475200, 15515500, 15797600, 15887872, 16016000, 16040640, 16291275, 16307200, 16368000, 16665600, 16709000, 16816800, 16926000, 17022720, 17110016, 17248000, 17377360, 17472000, 17732000, 17937920, 18054400, 18228000, 18304000, 18332160, 18618600, 18816000, 18957120, 19096000, 19219200, 19344000, 19443200, 19747000, 19859840, 20050800, 20220928, 20384000, 20697600, 20832000, 20852832, 21021000, 21278400, 21387520, 21525504, 21665280, 21721700, 21824000, 22422400, 22568000, 22696960, 22915200, 23273250, 23331840, 23696400, 23831808, 24024000, 24304000, 24460800, 24824800, 25063500, 25276160, 25625600, 25665024, 25792000, 25872000, 26066040, 26188800, 26598000, 26734400, 26906880, 27081600, 27152125, 27456000, 27776000, 27803776, 28028000, 28371200, 28644000, 29164800, 29568000, 29620500, 29789760, 30331392, 30553600, 30576000, 30950400, 31031000, 31595200, 31775744, 32032000, 32081280, 32582550, 32736000, 33418000, 33633600, 33852000, 34045440, 34496000, 34754720, 34944000, 35464000, 35875840, 36108800, 36456000, 36664320, 37237200, 37914240, 38192000, 38438400, 38688000, 38886400, 39494000, 39719680, 40101600, 40768000, 41395200, 41664000, 41705664, 42042000, 42556800, 42775040, 43330560, 43443400, 43648000, 44844800, 45136000, 45830400, 46546500, 47392800, 47663616, 48048000, 48608000, 48921600, 49649600, 50127000, 50552320, 51330048, 51584000, 51744000, 52132080, 53196000, 53468800, 53813760, 54163200, 54304250, 54912000, 55607552, 56056000, 56742400, 57288000, 58329600, 59241000, 59579520, 60662784, 61107200, 61152000, 62062000, 63190400, 64064000, 64162560, 65165100, 65472000, 66836000, 67267200, 67704000, 68090880, 68992000, 69509440, 70928000, 72217600, 72912000, 74474400, 75828480, 76384000, 76876800, 77376000, 78988000, 79439360, 80203200, 81456375, 81536000, 83328000, 83411328, 84084000, 85113600, 85550080, 86886800, 89689600, 90272000, 91660800, 93093000, 94785600, 95327232, 96096000, 97216000, 99299200, 100254000, 101104640, 103488000, 104264160, 106392000, 106937600, 107627520, 108326400, 108608500, 111215104, 112112000, 113484800, 114576000, 116659200, 118482000, 119159040, 122304000, 124124000, 126380800, 128128000, 128325120, 130330200, 130944000, 133672000, 134534400, 135408000, 139018880, 141856000, 145824000, 148948800, 151656960, 152768000, 154752000, 157976000, 158878720, 160406400, 162912750, 166822656, 168168000, 170227200, 173773600, 179379200, 180544000, 183321600, 186186000, 189571200, 192192000, 194432000, 198598400, 200508000, 206976000, 208528320, 212784000, 213875200, 216652800, 217217000, 222430208, 224224000, 229152000, 236964000, 238318080, 244608000, 248248000, 252761600, 256650240, 260660400, 267344000, 269068800, 270816000, 278037760, 283712000, 291648000, 297897600, 303313920, 305536000, 315952000, 320812800, 325825500, 333645312, 336336000, 340454400, 347547200, 361088000, 372372000, 379142400, 384384000, 397196800, 401016000, 417056640, 425568000, 427750400, 434434000, 448448000, 458304000, 473928000, 476636160, 496496000, 505523200, 521320800, 534688000, 538137600, 541632000, 556075520, 567424000, 583296000, 595795200, 631904000, 641625600, 651651000, 667290624, 672672000, 695094400, 744744000, 758284800, 794393600, 802032000, 834113280, 851136000, 868868000, 896896000, 916608000, 947856000, 992992000, 1042641600, 1069376000, 1083264000, 1112151040, 1191590400, 1263808000, 1283251200, 1303302000, 1345344000, 1390188800, 1489488000, 1516569600, 1604064000, 1668226560, 1702272000, 1737736000, 1895712000, 1985984000, 2085283200, 2138752000, 2383180800, 2527616000, 2606604000, 2690688000, 2780377600, 2978976000, 3208128000, 3336453120, 3475472000, 3791424000, 3971968000, 4170566400, 5213208000, 5560755200, 5957952000, 6416256000, 6950944000, 7582848000, 8341132800, 10426416000, 11915904000, 13901888000, 16682265600, 20852832000, 27803776000, 41705664000, 83411328000]

約数ペア:

[(1, 83411328000), (2, 41705664000), (3, 27803776000), (4, 20852832000), (5, 16682265600), (6, 13901888000), (7, 11915904000), (8, 10426416000), (10, 8341132800), (11, 7582848000), (12, 6950944000), (13, 6416256000), (14, 5957952000), (15, 5560755200), (16, 5213208000), (20, 4170566400), (21, 3971968000), (22, 3791424000), (24, 3475472000), (25, 3336453120), (26, 3208128000), (28, 2978976000), (30, 2780377600), (31, 2690688000), (32, 2606604000), (33, 2527616000), (35, 2383180800), (39, 2138752000), (40, 2085283200), (42, 1985984000), (44, 1895712000), (48, 1737736000), (49, 1702272000), (50, 1668226560), (52, 1604064000), (55, 1516569600), (56, 1489488000), (60, 1390188800), (62, 1345344000), (64, 1303302000), (65, 1283251200), (66, 1263808000), (70, 1191590400), (75, 1112151040), (77, 1083264000), (78, 1069376000), (80, 1042641600), (84, 992992000), (88, 947856000), (91, 916608000), (93, 896896000), (96, 868868000), (98, 851136000), (100, 834113280), (104, 802032000), (105, 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