31411537920

素因数分解:

$2^{11}\times 3^2\times 5^1\times 7^1\times {\mathrm{23}}^1\times {\mathrm{29}}^1\times {\mathrm{73}}^1$

素因数の和:165

約数の個数: 1152

約数和(自身を含む): 136145318400

約数和(自身を除く): 104733780480

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 23, 24, 28, 29, 30, 32, 35, 36, 40, 42, 45, 46, 48, 56, 58, 60, 63, 64, 69, 70, 72, 73, 80, 84, 87, 90, 92, 96, 105, 112, 115, 116, 120, 126, 128, 138, 140, 144, 145, 146, 160, 161, 168, 174, 180, 184, 192, 203, 207, 210, 219, 224, 230, 232, 240, 252, 256, 261, 276, 280, 288, 290, 292, 315, 320, 322, 336, 345, 348, 360, 365, 368, 384, 406, 414, 420, 435, 438, 448, 460, 464, 480, 483, 504, 511, 512, 522, 552, 560, 576, 580, 584, 609, 630, 640, 644, 657, 667, 672, 690, 696, 720, 730, 736, 768, 805, 812, 828, 840, 870, 876, 896, 920, 928, 960, 966, 1008, 1015, 1022, 1024, 1035, 1044, 1095, 1104, 1120, 1152, 1160, 1168, 1218, 1260, 1280, 1288, 1305, 1314, 1334, 1344, 1380, 1392, 1440, 1449, 1460, 1472, 1533, 1536, 1610, 1624, 1656, 1679, 1680, 1740, 1752, 1792, 1827, 1840, 1856, 1920, 1932, 2001, 2016, 2030, 2044, 2048, 2070, 2088, 2117, 2190, 2208, 2240, 2304, 2320, 2336, 2415, 2436, 2520, 2555, 2560, 2576, 2610, 2628, 2668, 2688, 2760, 2784, 2880, 2898, 2920, 2944, 3045, 3066, 3072, 3220, 3248, 3285, 3312, 3335, 3358, 3360, 3480, 3504, 3584, 3654, 3680, 3712, 3840, 3864, 4002, 4032, 4060, 4088, 4140, 4176, 4234, 4380, 4416, 4480, 4599, 4608, 4640, 4669, 4672, 4830, 4872, 5037, 5040, 5110, 5120, 5152, 5220, 5256, 5336, 5376, 5520, 5568, 5760, 5796, 5840, 5888, 6003, 6090, 6132, 6144, 6351, 6440, 6496, 6570, 6624, 6670, 6716, 6720, 6960, 7008, 7168, 7245, 7308, 7360, 7424, 7665, 7680, 7728, 8004, 8064, 8120, 8176, 8280, 8352, 8395, 8468, 8760, 8832, 8960, 9135, 9198, 9216, 9280, 9338, 9344, 9660, 9744, 10005, 10074, 10080, 10220, 10240, 10304, 10440, 10512, 10585, 10672, 10752, 11040, 11136, 11520, 11592, 11680, 11753, 11776, 12006, 12180, 12264, 12702, 12880, 12992, 13140, 13248, 13340, 13432, 13440, 13920, 14007, 14016, 14336, 14490, 14616, 14720, 14819, 14848, 15111, 15330, 15360, 15456, 16008, 16128, 16240, 16352, 16560, 16704, 16790, 16936, 17520, 17664, 17920, 18270, 18396, 18432, 18560, 18676, 18688, 19053, 19320, 19488, 20010, 20148, 20160, 20440, 20608, 20880, 21024, 21170, 21344, 21504, 22080, 22272, 22995, 23040, 23184, 23345, 23360, 23506, 23552, 24012, 24360, 24528, 25185, 25404, 25760, 25984, 26280, 26496, 26680, 26864, 26880, 27840, 28014, 28032, 28980, 29232, 29440, 29638, 29696, 30015, 30222, 30660, 30720, 30912, 31755, 32016, 32256, 32480, 32704, 33120, 33408, 33580, 33872, 35040, 35259, 35328, 35840, 36540, 36792, 37120, 37352, 37376, 38106, 38640, 38976, 40020, 40296, 40320, 40880, 41216, 41760, 42021, 42048, 42340, 42688, 43008, 44160, 44457, 44544, 45990, 46080, 46368, 46690, 46720, 47012, 47104, 48024, 48691, 48720, 49056, 50370, 50808, 51520, 51968, 52560, 52992, 53360, 53728, 53760, 55680, 56028, 56064, 57960, 58464, 58765, 58880, 59276, 59392, 60030, 60444, 61320, 61824, 63510, 64032, 64512, 64960, 65408, 66240, 66816, 67160, 67744, 70035, 70080, 70518, 70656, 71680, 73080, 73584, 74095, 74240, 74704, 74752, 75555, 76212, 77280, 77952, 80040, 80592, 80640, 81760, 82432, 83520, 84042, 84096, 84680, 85376, 88320, 88914, 89088, 91980, 92160, 92736, 93380, 93440, 94024, 95265, 96048, 97382, 97440, 98112, 100740, 101616, 103040, 103936, 105120, 105777, 105984, 106720, 107456, 107520, 111360, 112056, 112128, 115920, 116928, 117530, 117760, 118552, 120060, 120888, 122640, 123648, 127020, 128064, 129024, 129920, 130816, 132480, 133371, 133632, 134320, 135488, 140070, 140160, 141036, 141312, 146073, 146160, 147168, 148190, 148480, 149408, 149504, 151110, 152424, 154560, 155904, 160080, 161184, 161280, 163520, 164864, 167040, 168084, 168192, 169360, 170752, 176295, 176640, 177828, 178176, 183960, 185472, 186760, 186880, 188048, 190530, 192096, 194764, 194880, 196224, 201480, 203232, 206080, 207872, 210105, 210240, 211554, 211968, 213440, 214912, 215040, 222285, 222720, 224112, 224256, 231840, 233856, 235060, 235520, 237104, 240120, 241776, 243455, 245280, 247296, 254040, 256128, 259840, 261632, 264960, 266742, 267264, 268640, 270976, 280140, 280320, 282072, 292146, 292320, 294336, 296380, 296960, 298816, 302220, 304848, 309120, 311808, 320160, 322368, 322560, 327040, 329728, 334080, 336168, 336384, 338720, 340837, 341504, 352590, 353280, 355656, 367920, 370944, 373520, 373760, 376096, 381060, 384192, 389528, 389760, 392448, 402960, 406464, 412160, 415744, 420210, 420480, 423108, 423936, 426880, 429824, 438219, 444570, 445440, 448224, 448512, 463680, 467712, 470120, 474208, 480240, 483552, 486910, 490560, 494592, 508080, 512256, 519680, 523264, 528885, 529920, 533484, 534528, 537280, 541952, 560280, 560640, 564144, 584292, 584640, 588672, 592760, 597632, 604440, 609696, 618240, 623616, 640320, 644736, 645120, 654080, 666855, 668160, 672336, 672768, 677440, 681674, 683008, 705180, 706560, 711312, 730365, 735840, 741888, 747040, 747520, 752192, 762120, 768384, 779056, 779520, 784896, 805920, 812928, 824320, 840420, 840960, 846216, 853760, 859648, 876438, 889140, 890880, 896448, 927360, 935424, 940240, 948416, 960480, 967104, 973820, 981120, 989184, 1016160, 1022511, 1024512, 1039360, 1046528, 1057770, 1059840, 1066968, 1074560, 1083904, 1120560, 1121280, 1128288, 1168584, 1169280, 1177344, 1185520, 1195264, 1208880, 1219392, 1236480, 1247232, 1280640, 1289472, 1308160, 1333710, 1336320, 1344672, 1345536, 1354880, 1363348, 1366016, 1410360, 1422624, 1460730, 1471680, 1483776, 1494080, 1504384, 1524240, 1536768, 1558112, 1559040, 1569792, 1611840, 1625856, 1648640, 1680840, 1681920, 1692432, 1704185, 1707520, 1719296, 1752876, 1778280, 1792896, 1854720, 1870848, 1880480, 1896832, 1920960, 1934208, 1947640, 1962240, 2032320, 2045022, 2049024, 2078720, 2115540, 2119680, 2133936, 2149120, 2167808, 2191095, 2241120, 2242560, 2256576, 2337168, 2338560, 2354688, 2371040, 2390528, 2417760, 2438784, 2472960, 2561280, 2578944, 2616320, 2667420, 2672640, 2689344, 2709760, 2726696, 2820720, 2845248, 2921460, 2943360, 2967552, 2988160, 3008768, 3048480, 3067533, 3073536, 3116224, 3118080, 3139584, 3223680, 3251712, 3361680, 3363840, 3384864, 3408370, 3415040, 3438592, 3505752, 3556560, 3585792, 3709440, 3741696, 3760960, 3793664, 3841920, 3868416, 3895280, 3924480, 4064640, 4090044, 4098048, 4231080, 4267872, 4298240, 4335616, 4382190, 4482240, 4513152, 4674336, 4677120, 4709376, 4742080, 4781056, 4835520, 4877568, 4945920, 5112555, 5122560, 5157888, 5232640, 5334840, 5378688, 5419520, 5453392, 5641440, 5690496, 5842920, 5886720, 5976320, 6017536, 6096960, 6135066, 6147072, 6232448, 6236160, 6447360, 6503424, 6723360, 6727680, 6769728, 6816740, 6830080, 7011504, 7113120, 7171584, 7418880, 7521920, 7587328, 7683840, 7736832, 7790560, 7848960, 8129280, 8180088, 8462160, 8535744, 8596480, 8764380, 8964480, 9026304, 9348672, 9354240, 9418752, 9484160, 9562112, 9671040, 9755136, 10225110, 10245120, 10315776, 10669680, 10757376, 10839040, 10906784, 11282880, 11380992, 11685840, 11773440, 11952640, 12035072, 12193920, 12270132, 12294144, 12464896, 12894720, 13006848, 13446720, 13539456, 13633480, 14023008, 14226240, 14343168, 14837760, 15043840, 15174656, 15337665, 15367680, 15473664, 15581120, 15697920, 16258560, 16360176, 16924320, 17071488, 17192960, 17528760, 17928960, 18052608, 18697344, 18708480, 18968320, 19342080, 19510272, 20450220, 20490240, 21339360, 21514752, 21678080, 21813568, 22565760, 22761984, 23371680, 23546880, 23905280, 24070144, 24387840, 24540264, 24929792, 25789440, 26893440, 27078912, 27266960, 28046016, 28452480, 28686336, 30087680, 30349312, 30675330, 30735360, 30947328, 31162240, 32517120, 32720352, 33848640, 34142976, 35057520, 35857920, 36105216, 37394688, 37936640, 38684160, 39020544, 40900440, 42678720, 43029504, 43627136, 45131520, 45523968, 46743360, 47093760, 47810560, 48775680, 49080528, 49859584, 51578880, 53786880, 54157824, 54533920, 56092032, 56904960, 60175360, 61350660, 61470720, 62324480, 65034240, 65440704, 67697280, 68285952, 70115040, 71715840, 72210432, 74789376, 75873280, 77368320, 81800880, 85357440, 86059008, 87254272, 90263040, 91047936, 93486720, 97551360, 98161056, 99719168, 107573760, 108315648, 109067840, 112184064, 113809920, 120350720, 122701320, 124648960, 130881408, 135394560, 136571904, 140230080, 143431680, 149578752, 151746560, 154736640, 163601760, 170714880, 174508544, 180526080, 186973440, 195102720, 196322112, 215147520, 216631296, 218135680, 224368128, 227619840, 245402640, 249297920, 261762816, 270789120, 273143808, 280460160, 299157504, 327203520, 341429760, 349017088, 361052160, 373946880, 392644224, 430295040, 436271360, 448736256, 455239680, 490805280, 498595840, 523525632, 541578240, 560920320, 654407040, 682859520, 698034176, 747893760, 785288448, 872542720, 897472512, 981610560, 1047051264, 1083156480, 1121840640, 1308814080, 1365719040, 1495787520, 1570576896, 1745085440, 1963221120, 2094102528, 2243681280, 2617628160, 3141153792, 3490170880, 3926442240, 4487362560, 5235256320, 6282307584, 7852884480, 10470512640, 15705768960, 31411537920]

約数ペア:

[(1, 31411537920), (2, 15705768960), (3, 10470512640), (4, 7852884480), (5, 6282307584), (6, 5235256320), (7, 4487362560), (8, 3926442240), (9, 3490170880), (10, 3141153792), (12, 2617628160), (14, 2243681280), (15, 2094102528), (16, 1963221120), (18, 1745085440), (20, 1570576896), (21, 1495787520), (23, 1365719040), (24, 1308814080), (28, 1121840640), (29, 1083156480), (30, 1047051264), (32, 981610560), (35, 897472512), (36, 872542720), (40, 785288448), (42, 747893760), (45, 698034176), (46, 682859520), (48, 654407040), (56, 560920320), (58, 541578240), (60, 523525632), (63, 498595840), (64, 490805280), (69, 455239680), (70, 448736256), (72, 436271360), (73, 430295040), (80, 392644224), (84, 373946880), (87, 361052160), (90, 349017088), (92, 341429760), (96, 327203520), (105, 299157504), (112, 280460160), (115, 273143808), (116, 270789120), (120, 261762816), (126, 249297920), (128, 245402640), (138, 227619840), (140, 224368128), (144, 218135680), (145, 216631296), (146, 215147520), (160, 196322112), (161, 195102720), (168, 186973440), (174, 180526080), (180, 174508544), (184, 170714880), (192, 163601760), (203, 154736640), (207, 151746560), (210, 149578752), (219, 143431680), (224, 140230080), (230, 136571904), (232, 135394560), (240, 130881408), (252, 124648960), (256, 122701320), (261, 120350720), (276, 113809920), (280, 112184064), (288, 109067840), (290, 108315648), (292, 107573760), (315, 99719168), (320, 98161056), (322, 97551360), (336, 93486720), (345, 91047936), (348, 90263040), (360, 87254272), (365, 86059008), (368, 85357440), (384, 81800880), (406, 77368320), (414, 75873280), (420, 74789376), (435, 72210432), (438, 71715840), (448, 70115040), (460, 68285952), (464, 67697280), (480, 65440704), (483, 65034240), (504, 62324480), (511, 61470720), (512, 61350660), (522, 60175360), (552, 56904960), (560, 56092032), (576, 54533920), (580, 54157824), (584, 53786880), (609, 51578880), (630, 49859584), (640, 49080528), (644, 48775680), (657, 47810560), (667, 47093760), (672, 46743360), (690, 45523968), (696, 45131520), (720, 43627136), (730, 43029504), (736, 42678720), (768, 40900440), (805, 39020544), (812, 38684160), (828, 37936640), (840, 37394688), (870, 36105216), (876, 35857920), (896, 35057520), (920, 34142976), (928, 33848640), (960, 32720352), (966, 32517120), (1008, 31162240), (1015, 30947328), (1022, 30735360), (1024, 30675330), (1035, 30349312), (1044, 30087680), (1095, 28686336), (1104, 28452480), (1120, 28046016), (1152, 27266960), (1160, 27078912), (1168, 26893440), (1218, 25789440), (1260, 24929792), (1280, 24540264), (1288, 24387840), (1305, 24070144), (1314, 23905280), (1334, 23546880), (1344, 23371680), (1380, 22761984), (1392, 22565760), (1440, 21813568), (1449, 21678080), (1460, 21514752), (1472, 21339360), (1533, 20490240), (1536, 20450220), (1610, 19510272), (1624, 19342080), (1656, 18968320), (1679, 18708480), (1680, 18697344), (1740, 18052608), (1752, 17928960), (1792, 17528760), (1827, 17192960), (1840, 17071488), (1856, 16924320), (1920, 16360176), (1932, 16258560), (2001, 15697920), (2016, 15581120), (2030, 15473664), (2044, 15367680), (2048, 15337665), (2070, 15174656), (2088, 15043840), (2117, 14837760), (2190, 14343168), (2208, 14226240), (2240, 14023008), (2304, 13633480), (2320, 13539456), (2336, 13446720), (2415, 13006848), (2436, 12894720), (2520, 12464896), (2555, 12294144), (2560, 12270132), (2576, 12193920), (2610, 12035072), (2628, 11952640), (2668, 11773440), (2688, 11685840), (2760, 11380992), (2784, 11282880), (2880, 10906784), (2898, 10839040), (2920, 10757376), (2944, 10669680), (3045, 10315776), (3066, 10245120), (3072, 10225110), (3220, 9755136), (3248, 9671040), (3285, 9562112), (3312, 9484160), (3335, 9418752), (3358, 9354240), (3360, 9348672), (3480, 9026304), (3504, 8964480), (3584, 8764380), (3654, 8596480), (3680, 8535744), (3712, 8462160), (3840, 8180088), (3864, 8129280), (4002, 7848960), (4032, 7790560), (4060, 7736832), (4088, 7683840), (4140, 7587328), (4176, 7521920), (4234, 7418880), (4380, 7171584), (4416, 7113120), (4480, 7011504), (4599, 6830080), (4608, 6816740), (4640, 6769728), (4669, 6727680), (4672, 6723360), (4830, 6503424), (4872, 6447360), (5037, 6236160), (5040, 6232448), (5110, 6147072), (5120, 6135066), (5152, 6096960), (5220, 6017536), (5256, 5976320), (5336, 5886720), (5376, 5842920), (5520, 5690496), (5568, 5641440), (5760, 5453392), (5796, 5419520), (5840, 5378688), (5888, 5334840), (6003, 5232640), (6090, 5157888), (6132, 5122560), (6144, 5112555), (6351, 4945920), (6440, 4877568), (6496, 4835520), (6570, 4781056), (6624, 4742080), (6670, 4709376), (6716, 4677120), (6720, 4674336), (6960, 4513152), (7008, 4482240), (7168, 4382190), (7245, 4335616), (7308, 4298240), (7360, 4267872), (7424, 4231080), (7665, 4098048), (7680, 4090044), (7728, 4064640), (8004, 3924480), (8064, 3895280), (8120, 3868416), (8176, 3841920), (8280, 3793664), (8352, 3760960), (8395, 3741696), (8468, 3709440), (8760, 3585792), (8832, 3556560), (8960, 3505752), (9135, 3438592), (9198, 3415040), (9216, 3408370), (9280, 3384864), (9338, 3363840), (9344, 3361680), (9660, 3251712), (9744, 3223680), (10005, 3139584), (10074, 3118080), (10080, 3116224), (10220, 3073536), (10240, 3067533), (10304, 3048480), (10440, 3008768), (10512, 2988160), (10585, 2967552), (10672, 2943360), (10752, 2921460), (11040, 2845248), (11136, 2820720), (11520, 2726696), (11592, 2709760), (11680, 2689344), (11753, 2672640), (11776, 2667420), (12006, 2616320), (12180, 2578944), (12264, 2561280), (12702, 2472960), (12880, 2438784), (12992, 2417760), (13140, 2390528), (13248, 2371040), (13340, 2354688), (13432, 2338560), (13440, 2337168), (13920, 2256576), (14007, 2242560), (14016, 2241120), (14336, 2191095), (14490, 2167808), (14616, 2149120), (14720, 2133936), (14819, 2119680), (14848, 2115540), (15111, 2078720), (15330, 2049024), (15360, 2045022), (15456, 2032320), (16008, 1962240), (16128, 1947640), (16240, 1934208), (16352, 1920960), (16560, 1896832), (16704, 1880480), (16790, 1870848), (16936, 1854720), (17520, 1792896), (17664, 1778280), (17920, 1752876), (18270, 1719296), (18396, 1707520), (18432, 1704185), (18560, 1692432), (18676, 1681920), (18688, 1680840), (19053, 1648640), (19320, 1625856), (19488, 1611840), (20010, 1569792), (20148, 1559040), (20160, 1558112), (20440, 1536768), (20608, 1524240), (20880, 1504384), (21024, 1494080), (21170, 1483776), (21344, 1471680), (21504, 1460730), (22080, 1422624), (22272, 1410360), (22995, 1366016), (23040, 1363348), (23184, 1354880), (23345, 1345536), (23360, 1344672), (23506, 1336320), (23552, 1333710), (24012, 1308160), (24360, 1289472), (24528, 1280640), (25185, 1247232), (25404, 1236480), (25760, 1219392), (25984, 1208880), (26280, 1195264), (26496, 1185520), (26680, 1177344), (26864, 1169280), (26880, 1168584), (27840, 1128288), (28014, 1121280), (28032, 1120560), (28980, 1083904), (29232, 1074560), (29440, 1066968), (29638, 1059840), (29696, 1057770), (30015, 1046528), (30222, 1039360), (30660, 1024512), (30720, 1022511), (30912, 1016160), (31755, 989184), (32016, 981120), (32256, 973820), (32480, 967104), (32704, 960480), (33120, 948416), (33408, 940240), (33580, 935424), (33872, 927360), (35040, 896448), (35259, 890880), (35328, 889140), (35840, 876438), (36540, 859648), (36792, 853760), (37120, 846216), (37352, 840960), (37376, 840420), (38106, 824320), (38640, 812928), (38976, 805920), (40020, 784896), (40296, 779520), (40320, 779056), (40880, 768384), (41216, 762120), (41760, 752192), (42021, 747520), (42048, 747040), (42340, 741888), (42688, 735840), (43008, 730365), (44160, 711312), (44457, 706560), (44544, 705180), (45990, 683008), (46080, 681674), (46368, 677440), (46690, 672768), (46720, 672336), (47012, 668160), (47104, 666855), (48024, 654080), (48691, 645120), (48720, 644736), (49056, 640320), (50370, 623616), (50808, 618240), (51520, 609696), (51968, 604440), (52560, 597632), (52992, 592760), (53360, 588672), (53728, 584640), (53760, 584292), (55680, 564144), (56028, 560640), (56064, 560280), (57960, 541952), (58464, 537280), (58765, 534528), (58880, 533484), (59276, 529920), (59392, 528885), (60030, 523264), (60444, 519680), (61320, 512256), (61824, 508080), (63510, 494592), (64032, 490560), (64512, 486910), (64960, 483552), (65408, 480240), (66240, 474208), (66816, 470120), (67160, 467712), (67744, 463680), (70035, 448512), (70080, 448224), (70518, 445440), (70656, 444570), (71680, 438219), (73080, 429824), (73584, 426880), (74095, 423936), (74240, 423108), (74704, 420480), (74752, 420210), (75555, 415744), (76212, 412160), (77280, 406464), (77952, 402960), (80040, 392448), (80592, 389760), (80640, 389528), (81760, 384192), (82432, 381060), (83520, 376096), (84042, 373760), (84096, 373520), (84680, 370944), (85376, 367920), (88320, 355656), (88914, 353280), (89088, 352590), (91980, 341504), (92160, 340837), (92736, 338720), (93380, 336384), (93440, 336168), (94024, 334080), (95265, 329728), (96048, 327040), (97382, 322560), (97440, 322368), (98112, 320160), (100740, 311808), (101616, 309120), (103040, 304848), (103936, 302220), (105120, 298816), (105777, 296960), (105984, 296380), (106720, 294336), (107456, 292320), (107520, 292146), (111360, 282072), (112056, 280320), (112128, 280140), (115920, 270976), (116928, 268640), (117530, 267264), (117760, 266742), (118552, 264960), (120060, 261632), (120888, 259840), (122640, 256128), (123648, 254040), (127020, 247296), (128064, 245280), (129024, 243455), (129920, 241776), (130816, 240120), (132480, 237104), (133371, 235520), (133632, 235060), (134320, 233856), (135488, 231840), (140070, 224256), (140160, 224112), (141036, 222720), (141312, 222285), (146073, 215040), (146160, 214912), (147168, 213440), (148190, 211968), (148480, 211554), (149408, 210240), (149504, 210105), (151110, 207872), (152424, 206080), (154560, 203232), (155904, 201480), (160080, 196224), (161184, 194880), (161280, 194764), (163520, 192096), (164864, 190530), (167040, 188048), (168084, 186880), (168192, 186760), (169360, 185472), (170752, 183960), (176295, 178176), (176640, 177828)]