31080741120

素因数分解:

$2^8\times 3^3\times 5^1\times {\mathrm{11}}^1\times {\mathrm{13}}^1\times {\mathrm{19}}^1\times {\mathrm{331}}^1$

素因数の和:404

約数の個数: 1152

約数和(自身を含む): 136807372800

約数和(自身を除く): 105726631680

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 16, 18, 19, 20, 22, 24, 26, 27, 30, 32, 33, 36, 38, 39, 40, 44, 45, 48, 52, 54, 55, 57, 60, 64, 65, 66, 72, 76, 78, 80, 88, 90, 95, 96, 99, 104, 108, 110, 114, 117, 120, 128, 130, 132, 135, 143, 144, 152, 156, 160, 165, 171, 176, 180, 190, 192, 195, 198, 208, 209, 216, 220, 228, 234, 240, 247, 256, 260, 264, 270, 285, 286, 288, 297, 304, 312, 320, 330, 331, 342, 351, 352, 360, 380, 384, 390, 396, 416, 418, 429, 432, 440, 456, 468, 480, 494, 495, 513, 520, 528, 540, 570, 572, 576, 585, 594, 608, 624, 627, 640, 660, 662, 684, 702, 704, 715, 720, 741, 760, 768, 780, 792, 832, 836, 855, 858, 864, 880, 912, 936, 960, 988, 990, 993, 1026, 1040, 1045, 1056, 1080, 1140, 1144, 1152, 1170, 1188, 1216, 1235, 1248, 1254, 1280, 1287, 1320, 1324, 1368, 1404, 1408, 1430, 1440, 1482, 1485, 1520, 1560, 1584, 1655, 1664, 1672, 1710, 1716, 1728, 1755, 1760, 1824, 1872, 1881, 1920, 1976, 1980, 1986, 2052, 2080, 2090, 2112, 2145, 2160, 2223, 2280, 2288, 2304, 2340, 2376, 2432, 2470, 2496, 2508, 2565, 2574, 2640, 2648, 2717, 2736, 2808, 2816, 2860, 2880, 2964, 2970, 2979, 3040, 3120, 3135, 3168, 3310, 3328, 3344, 3420, 3432, 3456, 3510, 3520, 3641, 3648, 3705, 3744, 3762, 3840, 3861, 3952, 3960, 3972, 4104, 4160, 4180, 4224, 4290, 4303, 4320, 4446, 4560, 4576, 4680, 4752, 4864, 4940, 4965, 4992, 5016, 5130, 5148, 5280, 5296, 5434, 5472, 5616, 5643, 5720, 5760, 5928, 5940, 5958, 6080, 6240, 6270, 6289, 6336, 6435, 6620, 6669, 6688, 6840, 6864, 6912, 7020, 7040, 7282, 7296, 7410, 7488, 7524, 7722, 7904, 7920, 7944, 8151, 8208, 8320, 8360, 8448, 8580, 8606, 8640, 8892, 8937, 9120, 9152, 9360, 9405, 9504, 9880, 9930, 9984, 10032, 10260, 10296, 10560, 10592, 10868, 10923, 10944, 11115, 11232, 11286, 11440, 11520, 11856, 11880, 11916, 12160, 12480, 12540, 12578, 12672, 12870, 12909, 13240, 13338, 13376, 13585, 13680, 13728, 14040, 14080, 14564, 14592, 14820, 14895, 14976, 15048, 15444, 15808, 15840, 15888, 16302, 16416, 16640, 16720, 17160, 17212, 17280, 17784, 17874, 18205, 18240, 18304, 18720, 18810, 18867, 19008, 19305, 19760, 19860, 20064, 20520, 20592, 21120, 21184, 21515, 21736, 21846, 21888, 22230, 22464, 22572, 22880, 23712, 23760, 23832, 24320, 24453, 24960, 25080, 25156, 25344, 25740, 25818, 26480, 26676, 26752, 27170, 27360, 27456, 28080, 28215, 29128, 29640, 29790, 29952, 30096, 30888, 31445, 31616, 31680, 31776, 32604, 32769, 32832, 33345, 33440, 34320, 34424, 34560, 35568, 35748, 36410, 36480, 36608, 37440, 37620, 37734, 38016, 38610, 38727, 39520, 39720, 40128, 40755, 41040, 41184, 42240, 42368, 43030, 43472, 43692, 43776, 44460, 44685, 44928, 45144, 45760, 47333, 47424, 47520, 47664, 48906, 49920, 50160, 50312, 51480, 51636, 52960, 53352, 53504, 54340, 54615, 54720, 54912, 56160, 56430, 56601, 58256, 59280, 59580, 60192, 61776, 62890, 63232, 63360, 63552, 64545, 65208, 65538, 65664, 66690, 66880, 68640, 68848, 69179, 71136, 71496, 72820, 72960, 73359, 74880, 75240, 75468, 76032, 77220, 77454, 79040, 79440, 80256, 81510, 81757, 82080, 82368, 84736, 86060, 86944, 87384, 88920, 89370, 89856, 90288, 91520, 94335, 94666, 94848, 95040, 95328, 97812, 98307, 100320, 100624, 102960, 103272, 105920, 106704, 108680, 109230, 109440, 109824, 112320, 112860, 113202, 116181, 116512, 118560, 119160, 120384, 122265, 123552, 125780, 126720, 127104, 129090, 130416, 131076, 131328, 133380, 133760, 137280, 137696, 138358, 141999, 142272, 142992, 145640, 146718, 149760, 150480, 150936, 154440, 154908, 158080, 158880, 160512, 163020, 163514, 163845, 164160, 164736, 169803, 172120, 173888, 174768, 177840, 178740, 180576, 183040, 188670, 189332, 189696, 190080, 190656, 193635, 195624, 196614, 200640, 201248, 205920, 206544, 207537, 211840, 213408, 217360, 218460, 218880, 224640, 225720, 226404, 232362, 233024, 236665, 237120, 238320, 240768, 244530, 245271, 247104, 251560, 254208, 258180, 260832, 262152, 266760, 267520, 274560, 275392, 276716, 283005, 283998, 284544, 285984, 291280, 293436, 300960, 301872, 308880, 309816, 316160, 317760, 326040, 327028, 327690, 328320, 329472, 339606, 344240, 345895, 347776, 349536, 355680, 357480, 361152, 366795, 377340, 378664, 380160, 381312, 387270, 391248, 393228, 401280, 402496, 408785, 411840, 413088, 415074, 423680, 425997, 426816, 434720, 436920, 449280, 451440, 452808, 464724, 466048, 473330, 474240, 476640, 481536, 489060, 490542, 491535, 494208, 503120, 516360, 521664, 524304, 533520, 549120, 550784, 553432, 566010, 567996, 569088, 571968, 580905, 582560, 586872, 601920, 603744, 617760, 619632, 622611, 635520, 652080, 654056, 655380, 656640, 679212, 688480, 691790, 695552, 699072, 709995, 711360, 714960, 722304, 733590, 735813, 754680, 757328, 762624, 774540, 782496, 786456, 802560, 804992, 817570, 823680, 826176, 830148, 849015, 851994, 853632, 869440, 873840, 899327, 902880, 905616, 929448, 932096, 946660, 948480, 953280, 978120, 981084, 983070, 988416, 1006240, 1032720, 1037685, 1043328, 1048608, 1067040, 1101568, 1106864, 1132020, 1135992, 1143936, 1161810, 1165120, 1173744, 1203840, 1207488, 1226355, 1235520, 1239264, 1245222, 1271040, 1277991, 1304160, 1308112, 1310760, 1358424, 1376960, 1383580, 1398144, 1419990, 1422720, 1429920, 1444608, 1467180, 1471626, 1509360, 1514656, 1549080, 1564992, 1572912, 1609984, 1635140, 1647360, 1652352, 1660296, 1698030, 1703988, 1707264, 1738880, 1747680, 1798654, 1805760, 1811232, 1858896, 1867833, 1893320, 1906560, 1956240, 1962168, 1966140, 2012480, 2065440, 2075370, 2086656, 2097216, 2129985, 2134080, 2207439, 2213728, 2264040, 2271984, 2287872, 2323620, 2330240, 2347488, 2407680, 2414976, 2452710, 2471040, 2478528, 2490444, 2555982, 2608320, 2616224, 2621520, 2697981, 2716848, 2753920, 2767160, 2796288, 2839980, 2845440, 2859840, 2934360, 2943252, 3018720, 3029312, 3098160, 3113055, 3129984, 3145824, 3270280, 3304704, 3320592, 3396060, 3407976, 3477760, 3495360, 3597308, 3611520, 3622464, 3679065, 3717792, 3735666, 3786640, 3813120, 3912480, 3924336, 3932280, 4024960, 4130880, 4150740, 4194432, 4259970, 4268160, 4414878, 4427456, 4496635, 4528080, 4543968, 4647240, 4660480, 4694976, 4829952, 4905420, 4942080, 4957056, 4980888, 5111964, 5216640, 5232448, 5243040, 5395962, 5433696, 5507840, 5534320, 5679960, 5719680, 5868720, 5886504, 6037440, 6058624, 6196320, 6226110, 6259968, 6291648, 6389955, 6540560, 6641184, 6792120, 6815952, 6990720, 7194616, 7223040, 7244928, 7358130, 7435584, 7471332, 7573280, 7824960, 7848672, 7864560, 8049920, 8093943, 8261760, 8301480, 8388864, 8519940, 8536320, 8829756, 8854912, 8993270, 9056160, 9087936, 9294480, 9339165, 9389952, 9810840, 9914112, 9961776, 10223928, 10433280, 10464896, 10486080, 10791924, 10867392, 11037195, 11068640, 11359920, 11439360, 11737440, 11773008, 12074880, 12117248, 12392640, 12452220, 12583296, 12779910, 13081120, 13282368, 13489905, 13584240, 13631904, 13981440, 14389232, 14489856, 14716260, 14871168, 14942664, 15146560, 15649920, 15697344, 15729120, 16187886, 16523520, 16602960, 17039880, 17659512, 17709824, 17986540, 18112320, 18175872, 18588960, 18678330, 18779904, 19621680, 19923552, 20447856, 20929792, 20972160, 21583848, 21734784, 22074390, 22137280, 22719840, 23474880, 23546016, 24149760, 24281829, 24785280, 24904440, 25166592, 25559820, 26162240, 26564736, 26979810, 27168480, 27263808, 28778464, 29432520, 29742336, 29885328, 30293120, 31299840, 31394688, 31458240, 32375772, 33205920, 34079760, 35319024, 35973080, 36224640, 36351744, 37177920, 37356660, 39243360, 39847104, 40469715, 40895712, 41944320, 43167696, 43469568, 44148780, 44274560, 45439680, 46949760, 47092032, 48563658, 49570560, 49808880, 51119640, 52324480, 53129472, 53959620, 54336960, 54527616, 57556928, 58865040, 59770656, 60586240, 62789376, 62916480, 64751544, 66411840, 68159520, 70638048, 71946160, 72449280, 74355840, 74713320, 78486720, 79694208, 80939430, 81791424, 86335392, 88297560, 88549120, 90879360, 93899520, 94184064, 97127316, 99617760, 102239280, 104648960, 107919240, 108673920, 109055232, 115113856, 117730080, 119541312, 121409145, 125832960, 129503088, 132823680, 136319040, 141276096, 143892320, 148711680, 149426640, 156973440, 159388416, 161878860, 163582848, 172670784, 176595120, 181758720, 188368128, 194254632, 199235520, 204478560, 215838480, 217347840, 230227712, 235460160, 239082624, 242818290, 259006176, 265647360, 272638080, 282552192, 287784640, 298853280, 313946880, 323757720, 327165696, 345341568, 353190240, 388509264, 398471040, 408957120, 431676960, 470920320, 478165248, 485636580, 518012352, 545276160, 565104384, 575569280, 597706560, 647515440, 690683136, 706380480, 777018528, 796942080, 817914240, 863353920, 941840640, 971273160, 1036024704, 1151138560, 1195413120, 1295030880, 1412760960, 1554037056, 1635828480, 1726707840, 1942546320, 2072049408, 2390826240, 2590061760, 2825521920, 3108074112, 3453415680, 3885092640, 5180123520, 6216148224, 7770185280, 10360247040, 15540370560, 31080741120]

約数ペア:

[(1, 31080741120), (2, 15540370560), (3, 10360247040), (4, 7770185280), (5, 6216148224), (6, 5180123520), (8, 3885092640), (9, 3453415680), (10, 3108074112), (11, 2825521920), (12, 2590061760), (13, 2390826240), (15, 2072049408), (16, 1942546320), (18, 1726707840), (19, 1635828480), (20, 1554037056), (22, 1412760960), (24, 1295030880), (26, 1195413120), (27, 1151138560), (30, 1036024704), (32, 971273160), (33, 941840640), (36, 863353920), (38, 817914240), (39, 796942080), (40, 777018528), (44, 706380480), (45, 690683136), (48, 647515440), (52, 597706560), (54, 575569280), (55, 565104384), (57, 545276160), (60, 518012352), (64, 485636580), (65, 478165248), (66, 470920320), (72, 431676960), (76, 408957120), (78, 398471040), (80, 388509264), (88, 353190240), (90, 345341568), (95, 327165696), (96, 323757720), (99, 313946880), (104, 298853280), (108, 287784640), (110, 282552192), (114, 272638080), (117, 265647360), (120, 259006176), (128, 242818290), (130, 239082624), (132, 235460160), (135, 230227712), (143, 217347840), (144, 215838480), (152, 204478560), (156, 199235520), (160, 194254632), (165, 188368128), (171, 181758720), (176, 176595120), (180, 172670784), (190, 163582848), (192, 161878860), (195, 159388416), (198, 156973440), (208, 149426640), (209, 148711680), (216, 143892320), (220, 141276096), (228, 136319040), (234, 132823680), (240, 129503088), (247, 125832960), (256, 121409145), (260, 119541312), (264, 117730080), (270, 115113856), (285, 109055232), (286, 108673920), (288, 107919240), (297, 104648960), (304, 102239280), (312, 99617760), (320, 97127316), (330, 94184064), (331, 93899520), (342, 90879360), (351, 88549120), (352, 88297560), (360, 86335392), (380, 81791424), (384, 80939430), (390, 79694208), (396, 78486720), (416, 74713320), (418, 74355840), (429, 72449280), (432, 71946160), (440, 70638048), (456, 68159520), (468, 66411840), (480, 64751544), (494, 62916480), (495, 62789376), (513, 60586240), (520, 59770656), (528, 58865040), (540, 57556928), (570, 54527616), (572, 54336960), (576, 53959620), (585, 53129472), (594, 52324480), (608, 51119640), (624, 49808880), (627, 49570560), (640, 48563658), (660, 47092032), (662, 46949760), (684, 45439680), (702, 44274560), (704, 44148780), (715, 43469568), (720, 43167696), (741, 41944320), (760, 40895712), (768, 40469715), (780, 39847104), (792, 39243360), (832, 37356660), (836, 37177920), (855, 36351744), (858, 36224640), (864, 35973080), (880, 35319024), (912, 34079760), (936, 33205920), (960, 32375772), (988, 31458240), (990, 31394688), (993, 31299840), (1026, 30293120), (1040, 29885328), (1045, 29742336), (1056, 29432520), (1080, 28778464), (1140, 27263808), (1144, 27168480), (1152, 26979810), (1170, 26564736), (1188, 26162240), (1216, 25559820), (1235, 25166592), (1248, 24904440), (1254, 24785280), (1280, 24281829), (1287, 24149760), (1320, 23546016), (1324, 23474880), (1368, 22719840), (1404, 22137280), (1408, 22074390), (1430, 21734784), (1440, 21583848), (1482, 20972160), (1485, 20929792), (1520, 20447856), (1560, 19923552), (1584, 19621680), (1655, 18779904), (1664, 18678330), (1672, 18588960), (1710, 18175872), (1716, 18112320), (1728, 17986540), (1755, 17709824), (1760, 17659512), (1824, 17039880), (1872, 16602960), (1881, 16523520), (1920, 16187886), (1976, 15729120), (1980, 15697344), (1986, 15649920), (2052, 15146560), (2080, 14942664), (2090, 14871168), (2112, 14716260), (2145, 14489856), (2160, 14389232), (2223, 13981440), (2280, 13631904), (2288, 13584240), (2304, 13489905), (2340, 13282368), (2376, 13081120), (2432, 12779910), (2470, 12583296), (2496, 12452220), (2508, 12392640), (2565, 12117248), (2574, 12074880), (2640, 11773008), (2648, 11737440), (2717, 11439360), (2736, 11359920), (2808, 11068640), (2816, 11037195), (2860, 10867392), (2880, 10791924), (2964, 10486080), (2970, 10464896), (2979, 10433280), (3040, 10223928), (3120, 9961776), (3135, 9914112), (3168, 9810840), (3310, 9389952), (3328, 9339165), (3344, 9294480), (3420, 9087936), (3432, 9056160), (3456, 8993270), (3510, 8854912), (3520, 8829756), (3641, 8536320), (3648, 8519940), (3705, 8388864), (3744, 8301480), (3762, 8261760), (3840, 8093943), (3861, 8049920), (3952, 7864560), (3960, 7848672), (3972, 7824960), (4104, 7573280), (4160, 7471332), (4180, 7435584), (4224, 7358130), (4290, 7244928), (4303, 7223040), (4320, 7194616), (4446, 6990720), (4560, 6815952), (4576, 6792120), (4680, 6641184), (4752, 6540560), (4864, 6389955), (4940, 6291648), (4965, 6259968), (4992, 6226110), (5016, 6196320), (5130, 6058624), (5148, 6037440), (5280, 5886504), (5296, 5868720), (5434, 5719680), (5472, 5679960), (5616, 5534320), (5643, 5507840), (5720, 5433696), (5760, 5395962), (5928, 5243040), (5940, 5232448), (5958, 5216640), (6080, 5111964), (6240, 4980888), (6270, 4957056), (6289, 4942080), (6336, 4905420), (6435, 4829952), (6620, 4694976), (6669, 4660480), (6688, 4647240), (6840, 4543968), (6864, 4528080), (6912, 4496635), (7020, 4427456), (7040, 4414878), (7282, 4268160), (7296, 4259970), (7410, 4194432), (7488, 4150740), (7524, 4130880), (7722, 4024960), (7904, 3932280), (7920, 3924336), (7944, 3912480), (8151, 3813120), (8208, 3786640), (8320, 3735666), (8360, 3717792), (8448, 3679065), (8580, 3622464), (8606, 3611520), (8640, 3597308), (8892, 3495360), (8937, 3477760), (9120, 3407976), (9152, 3396060), (9360, 3320592), (9405, 3304704), (9504, 3270280), (9880, 3145824), (9930, 3129984), (9984, 3113055), (10032, 3098160), (10260, 3029312), (10296, 3018720), (10560, 2943252), (10592, 2934360), (10868, 2859840), (10923, 2845440), (10944, 2839980), (11115, 2796288), (11232, 2767160), (11286, 2753920), (11440, 2716848), (11520, 2697981), (11856, 2621520), (11880, 2616224), (11916, 2608320), (12160, 2555982), (12480, 2490444), (12540, 2478528), (12578, 2471040), (12672, 2452710), (12870, 2414976), (12909, 2407680), (13240, 2347488), (13338, 2330240), (13376, 2323620), (13585, 2287872), (13680, 2271984), (13728, 2264040), (14040, 2213728), (14080, 2207439), (14564, 2134080), (14592, 2129985), (14820, 2097216), (14895, 2086656), (14976, 2075370), (15048, 2065440), (15444, 2012480), (15808, 1966140), (15840, 1962168), (15888, 1956240), (16302, 1906560), (16416, 1893320), (16640, 1867833), (16720, 1858896), (17160, 1811232), (17212, 1805760), (17280, 1798654), (17784, 1747680), (17874, 1738880), (18205, 1707264), (18240, 1703988), (18304, 1698030), (18720, 1660296), (18810, 1652352), (18867, 1647360), (19008, 1635140), (19305, 1609984), (19760, 1572912), (19860, 1564992), (20064, 1549080), (20520, 1514656), (20592, 1509360), (21120, 1471626), (21184, 1467180), (21515, 1444608), (21736, 1429920), (21846, 1422720), (21888, 1419990), (22230, 1398144), (22464, 1383580), (22572, 1376960), (22880, 1358424), (23712, 1310760), (23760, 1308112), (23832, 1304160), (24320, 1277991), (24453, 1271040), (24960, 1245222), (25080, 1239264), (25156, 1235520), (25344, 1226355), (25740, 1207488), (25818, 1203840), (26480, 1173744), (26676, 1165120), (26752, 1161810), (27170, 1143936), (27360, 1135992), (27456, 1132020), (28080, 1106864), (28215, 1101568), (29128, 1067040), (29640, 1048608), (29790, 1043328), (29952, 1037685), (30096, 1032720), (30888, 1006240), (31445, 988416), (31616, 983070), (31680, 981084), (31776, 978120), (32604, 953280), (32769, 948480), (32832, 946660), (33345, 932096), (33440, 929448), (34320, 905616), (34424, 902880), (34560, 899327), (35568, 873840), (35748, 869440), (36410, 853632), (36480, 851994), (36608, 849015), (37440, 830148), (37620, 826176), (37734, 823680), (38016, 817570), (38610, 804992), (38727, 802560), (39520, 786456), (39720, 782496), (40128, 774540), (40755, 762624), (41040, 757328), (41184, 754680), (42240, 735813), (42368, 733590), (43030, 722304), (43472, 714960), (43692, 711360), (43776, 709995), (44460, 699072), (44685, 695552), (44928, 691790), (45144, 688480), (45760, 679212), (47333, 656640), (47424, 655380), (47520, 654056), (47664, 652080), (48906, 635520), (49920, 622611), (50160, 619632), (50312, 617760), (51480, 603744), (51636, 601920), (52960, 586872), (53352, 582560), (53504, 580905), (54340, 571968), (54615, 569088), (54720, 567996), (54912, 566010), (56160, 553432), (56430, 550784), (56601, 549120), (58256, 533520), (59280, 524304), (59580, 521664), (60192, 516360), (61776, 503120), (62890, 494208), (63232, 491535), (63360, 490542), (63552, 489060), (64545, 481536), (65208, 476640), (65538, 474240), (65664, 473330), (66690, 466048), (66880, 464724), (68640, 452808), (68848, 451440), (69179, 449280), (71136, 436920), (71496, 434720), (72820, 426816), (72960, 425997), (73359, 423680), (74880, 415074), (75240, 413088), (75468, 411840), (76032, 408785), (77220, 402496), (77454, 401280), (79040, 393228), (79440, 391248), (80256, 387270), (81510, 381312), (81757, 380160), (82080, 378664), (82368, 377340), (84736, 366795), (86060, 361152), (86944, 357480), (87384, 355680), (88920, 349536), (89370, 347776), (89856, 345895), (90288, 344240), (91520, 339606), (94335, 329472), (94666, 328320), (94848, 327690), (95040, 327028), (95328, 326040), (97812, 317760), (98307, 316160), (100320, 309816), (100624, 308880), (102960, 301872), (103272, 300960), (105920, 293436), (106704, 291280), (108680, 285984), (109230, 284544), (109440, 283998), (109824, 283005), (112320, 276716), (112860, 275392), (113202, 274560), (116181, 267520), (116512, 266760), (118560, 262152), (119160, 260832), (120384, 258180), (122265, 254208), (123552, 251560), (125780, 247104), (126720, 245271), (127104, 244530), (129090, 240768), (130416, 238320), (131076, 237120), (131328, 236665), (133380, 233024), (133760, 232362), (137280, 226404), (137696, 225720), (138358, 224640), (141999, 218880), (142272, 218460), (142992, 217360), (145640, 213408), (146718, 211840), (149760, 207537), (150480, 206544), (150936, 205920), (154440, 201248), (154908, 200640), (158080, 196614), (158880, 195624), (160512, 193635), (163020, 190656), (163514, 190080), (163845, 189696), (164160, 189332), (164736, 188670), (169803, 183040), (172120, 180576), (173888, 178740), (174768, 177840)]