31042327680

素因数分解:

$2^7\times 3^3\times 5^1\times 7^1\times {\mathrm{13}}^1\times {\mathrm{19}}^1\times {\mathrm{1039}}^1$

素因数の和:1106

約数の個数: 1024

約数和(自身を含む): 142571520000

約数和(自身を除く): 111529192320

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 24, 26, 27, 28, 30, 32, 35, 36, 38, 39, 40, 42, 45, 48, 52, 54, 56, 57, 60, 63, 64, 65, 70, 72, 76, 78, 80, 84, 90, 91, 95, 96, 104, 105, 108, 112, 114, 117, 120, 126, 128, 130, 133, 135, 140, 144, 152, 156, 160, 168, 171, 180, 182, 189, 190, 192, 195, 208, 210, 216, 224, 228, 234, 240, 247, 252, 260, 266, 270, 273, 280, 285, 288, 304, 312, 315, 320, 336, 342, 351, 360, 364, 378, 380, 384, 390, 399, 416, 420, 432, 448, 455, 456, 468, 480, 494, 504, 513, 520, 532, 540, 546, 560, 570, 576, 585, 608, 624, 630, 640, 665, 672, 684, 702, 720, 728, 741, 756, 760, 780, 798, 819, 832, 840, 855, 864, 896, 910, 912, 936, 945, 960, 988, 1008, 1026, 1039, 1040, 1064, 1080, 1092, 1120, 1140, 1152, 1170, 1197, 1216, 1235, 1248, 1260, 1330, 1344, 1365, 1368, 1404, 1440, 1456, 1482, 1512, 1520, 1560, 1596, 1638, 1664, 1680, 1710, 1728, 1729, 1755, 1820, 1824, 1872, 1890, 1920, 1976, 1995, 2016, 2052, 2078, 2080, 2128, 2160, 2184, 2223, 2240, 2280, 2340, 2394, 2432, 2457, 2470, 2496, 2520, 2565, 2660, 2688, 2730, 2736, 2808, 2880, 2912, 2964, 3024, 3040, 3117, 3120, 3192, 3276, 3360, 3420, 3456, 3458, 3510, 3591, 3640, 3648, 3705, 3744, 3780, 3952, 3990, 4032, 4095, 4104, 4156, 4160, 4256, 4320, 4368, 4446, 4480, 4560, 4680, 4788, 4914, 4940, 4992, 5040, 5130, 5187, 5195, 5320, 5460, 5472, 5616, 5760, 5824, 5928, 5985, 6048, 6080, 6234, 6240, 6384, 6552, 6669, 6720, 6840, 6916, 7020, 7182, 7273, 7280, 7296, 7410, 7488, 7560, 7904, 7980, 8064, 8190, 8208, 8312, 8320, 8512, 8640, 8645, 8736, 8892, 9120, 9351, 9360, 9576, 9828, 9880, 10080, 10260, 10374, 10390, 10640, 10920, 10944, 11115, 11232, 11648, 11856, 11970, 12096, 12160, 12285, 12468, 12480, 12768, 13104, 13338, 13440, 13507, 13680, 13832, 14040, 14364, 14546, 14560, 14820, 14976, 15120, 15561, 15585, 15808, 15960, 16380, 16416, 16624, 17024, 17280, 17290, 17472, 17784, 17955, 18240, 18702, 18720, 19152, 19656, 19741, 19760, 20160, 20520, 20748, 20780, 21280, 21819, 21840, 21888, 22230, 22464, 23712, 23940, 24192, 24570, 24936, 24960, 25536, 25935, 26208, 26676, 27014, 27360, 27664, 28053, 28080, 28728, 29092, 29120, 29640, 30240, 31122, 31170, 31616, 31920, 32760, 32832, 33248, 33345, 34580, 34944, 35568, 35910, 36365, 36480, 37404, 37440, 38304, 39312, 39482, 39520, 40320, 40521, 41040, 41496, 41560, 42560, 43638, 43680, 44460, 44928, 46683, 46755, 47424, 47880, 49140, 49872, 51072, 51870, 52416, 53352, 54028, 54720, 55328, 56106, 56160, 57456, 58184, 58240, 59223, 59280, 60480, 62244, 62340, 63840, 65457, 65520, 65664, 66496, 66690, 67535, 69160, 71136, 71820, 72730, 74808, 74880, 76608, 77805, 78624, 78964, 79040, 81042, 82080, 82992, 83120, 85120, 87276, 87360, 88920, 93366, 93510, 94549, 94848, 95760, 98280, 98705, 99744, 103740, 104832, 106704, 108056, 109095, 109440, 110656, 112212, 112320, 114912, 116368, 118446, 118560, 120960, 121563, 124488, 124680, 127680, 130914, 131040, 132992, 133380, 135070, 138187, 138320, 140265, 142272, 143640, 145460, 149616, 153216, 155610, 157248, 157928, 158080, 162084, 164160, 165984, 166240, 174552, 174720, 177669, 177840, 186732, 187020, 189098, 191520, 196371, 196560, 197410, 199488, 202605, 207480, 213408, 216112, 218190, 221312, 224424, 224640, 229824, 232736, 233415, 236892, 237120, 243126, 248976, 249360, 255360, 256633, 261828, 262080, 266760, 270140, 276374, 276640, 280530, 283647, 284544, 287280, 290920, 296115, 299232, 311220, 314496, 315856, 324168, 327285, 328320, 331968, 332480, 349104, 355338, 355680, 364689, 373464, 374040, 378196, 383040, 392742, 393120, 394820, 398976, 405210, 414561, 414960, 426816, 432224, 436380, 448848, 459648, 465472, 466830, 472745, 473784, 474240, 486252, 497952, 498720, 513266, 523656, 524160, 533007, 533520, 540280, 552748, 553280, 561060, 567294, 574560, 581840, 592230, 598464, 607815, 622440, 631712, 648336, 654570, 663936, 664960, 690935, 698208, 710676, 711360, 729378, 746928, 748080, 756392, 766080, 769899, 785484, 786240, 789640, 810420, 829122, 829920, 850941, 853632, 864448, 872760, 888345, 897696, 930944, 933660, 945490, 947568, 972504, 981855, 995904, 997440, 1026532, 1047312, 1066014, 1067040, 1080560, 1105496, 1106560, 1122120, 1134588, 1149120, 1163680, 1184460, 1196928, 1215630, 1243683, 1244880, 1263424, 1283165, 1296672, 1309140, 1381870, 1396416, 1418235, 1421352, 1422720, 1458756, 1493856, 1496160, 1512784, 1539798, 1570968, 1572480, 1579280, 1620840, 1658244, 1659840, 1701882, 1728896, 1745520, 1776690, 1795392, 1796431, 1823445, 1867320, 1890980, 1895136, 1945008, 1963710, 1991808, 1994880, 2053064, 2072805, 2094624, 2132028, 2134080, 2161120, 2210992, 2244240, 2269176, 2298240, 2309697, 2327360, 2368920, 2431260, 2487366, 2489760, 2526848, 2552823, 2566330, 2593344, 2618280, 2665035, 2763740, 2792832, 2836470, 2842704, 2917512, 2987712, 2992320, 3025568, 3079596, 3141936, 3158560, 3241680, 3316488, 3319680, 3403764, 3491040, 3553380, 3590784, 3592862, 3646890, 3731049, 3734640, 3781960, 3790272, 3849495, 3890016, 3927420, 4106128, 4145610, 4189248, 4254705, 4264056, 4268160, 4322240, 4421984, 4488480, 4538352, 4619394, 4654720, 4737840, 4862520, 4974732, 4979520, 5105646, 5132660, 5186688, 5236560, 5330070, 5389293, 5527480, 5672940, 5685408, 5835024, 5975424, 5984640, 6051136, 6159192, 6218415, 6283872, 6317120, 6483360, 6632976, 6807528, 6929091, 6982080, 7106760, 7185724, 7293780, 7462098, 7469280, 7563920, 7580544, 7698990, 7780032, 7854840, 8212256, 8291220, 8378496, 8509410, 8528112, 8644480, 8843968, 8976960, 8982155, 9076704, 9238788, 9475680, 9725040, 9949464, 9959040, 10211292, 10265320, 10473120, 10660140, 10778586, 11054960, 11345880, 11370816, 11548485, 11670048, 12102272, 12318384, 12436830, 12567744, 12634240, 12764115, 12966720, 13265952, 13615056, 13858182, 13964160, 14213520, 14371448, 14587560, 14924196, 14938560, 15127840, 15397980, 15560064, 15709680, 16167879, 16424512, 16582440, 17018820, 17056224, 17687936, 17953920, 17964310, 18153408, 18477576, 18655245, 18951360, 19450080, 19898928, 20422584, 20530640, 20946240, 21320280, 21557172, 22109920, 22691760, 22741632, 23096970, 23340096, 24636768, 24873660, 25135488, 25528230, 25933440, 26531904, 26946465, 27230112, 27716364, 28427040, 28742896, 29175120, 29848392, 29877120, 30255680, 30795960, 31419360, 32335758, 32849024, 33164880, 34037640, 34112448, 34645455, 35928620, 36306816, 36955152, 37310490, 37902720, 38900160, 39797856, 40845168, 41061280, 41892480, 42640560, 43114344, 44219840, 45383520, 46193940, 46680192, 48503637, 49273536, 49747320, 51056460, 53063808, 53892930, 54460224, 55432728, 56854080, 57485792, 58350240, 59696784, 60511360, 61591920, 62838720, 64671516, 66329760, 68075280, 68224896, 69290910, 71857240, 73910304, 74620980, 77800320, 79595712, 80839395, 81690336, 82122560, 85281120, 86228688, 88439680, 90767040, 92387880, 97007274, 98547072, 99494640, 102112920, 107785860, 108920448, 110865456, 113708160, 114971584, 116700480, 119393568, 123183840, 125677440, 129343032, 132659520, 136150560, 138581820, 143714480, 147820608, 149241960, 159191424, 161678790, 163380672, 164245120, 170562240, 172457376, 181534080, 184775760, 194014548, 198989280, 204225840, 215571720, 221730912, 229943168, 233400960, 238787136, 242518185, 246367680, 258686064, 265319040, 272301120, 277163640, 287428960, 295641216, 298483920, 323357580, 326761344, 341124480, 344914752, 369551520, 388029096, 397978560, 408451680, 431143440, 443461824, 477574272, 485036370, 492735360, 517372128, 544602240, 554327280, 574857920, 596967840, 646715160, 689829504, 739103040, 776058192, 795957120, 816903360, 862286880, 886923648, 970072740, 1034744256, 1108654560, 1149715840, 1193935680, 1293430320, 1478206080, 1552116384, 1633806720, 1724573760, 1940145480, 2069488512, 2217309120, 2387871360, 2586860640, 3104232768, 3449147520, 3880290960, 4434618240, 5173721280, 6208465536, 7760581920, 10347442560, 15521163840, 31042327680]

約数ペア:

[(1, 31042327680), (2, 15521163840), (3, 10347442560), (4, 7760581920), (5, 6208465536), (6, 5173721280), (7, 4434618240), (8, 3880290960), (9, 3449147520), (10, 3104232768), (12, 2586860640), (13, 2387871360), (14, 2217309120), (15, 2069488512), (16, 1940145480), (18, 1724573760), (19, 1633806720), (20, 1552116384), (21, 1478206080), (24, 1293430320), (26, 1193935680), (27, 1149715840), (28, 1108654560), (30, 1034744256), (32, 970072740), (35, 886923648), (36, 862286880), (38, 816903360), (39, 795957120), (40, 776058192), (42, 739103040), (45, 689829504), (48, 646715160), (52, 596967840), (54, 574857920), (56, 554327280), (57, 544602240), (60, 517372128), (63, 492735360), (64, 485036370), (65, 477574272), (70, 443461824), (72, 431143440), (76, 408451680), (78, 397978560), (80, 388029096), (84, 369551520), (90, 344914752), (91, 341124480), (95, 326761344), (96, 323357580), (104, 298483920), (105, 295641216), (108, 287428960), (112, 277163640), (114, 272301120), (117, 265319040), (120, 258686064), (126, 246367680), (128, 242518185), (130, 238787136), (133, 233400960), (135, 229943168), (140, 221730912), (144, 215571720), (152, 204225840), (156, 198989280), (160, 194014548), (168, 184775760), (171, 181534080), (180, 172457376), (182, 170562240), (189, 164245120), (190, 163380672), (192, 161678790), (195, 159191424), (208, 149241960), (210, 147820608), (216, 143714480), (224, 138581820), (228, 136150560), (234, 132659520), (240, 129343032), (247, 125677440), (252, 123183840), (260, 119393568), (266, 116700480), (270, 114971584), (273, 113708160), (280, 110865456), (285, 108920448), (288, 107785860), (304, 102112920), (312, 99494640), (315, 98547072), (320, 97007274), (336, 92387880), (342, 90767040), (351, 88439680), (360, 86228688), (364, 85281120), (378, 82122560), (380, 81690336), (384, 80839395), (390, 79595712), (399, 77800320), (416, 74620980), (420, 73910304), (432, 71857240), (448, 69290910), (455, 68224896), (456, 68075280), (468, 66329760), (480, 64671516), (494, 62838720), (504, 61591920), (513, 60511360), (520, 59696784), (532, 58350240), (540, 57485792), (546, 56854080), (560, 55432728), (570, 54460224), (576, 53892930), (585, 53063808), (608, 51056460), (624, 49747320), (630, 49273536), (640, 48503637), (665, 46680192), (672, 46193940), (684, 45383520), (702, 44219840), (720, 43114344), (728, 42640560), (741, 41892480), (756, 41061280), (760, 40845168), (780, 39797856), (798, 38900160), (819, 37902720), (832, 37310490), (840, 36955152), (855, 36306816), (864, 35928620), (896, 34645455), (910, 34112448), (912, 34037640), (936, 33164880), (945, 32849024), (960, 32335758), (988, 31419360), (1008, 30795960), (1026, 30255680), (1039, 29877120), (1040, 29848392), (1064, 29175120), (1080, 28742896), (1092, 28427040), (1120, 27716364), (1140, 27230112), (1152, 26946465), (1170, 26531904), (1197, 25933440), (1216, 25528230), (1235, 25135488), (1248, 24873660), (1260, 24636768), (1330, 23340096), (1344, 23096970), (1365, 22741632), (1368, 22691760), (1404, 22109920), (1440, 21557172), (1456, 21320280), (1482, 20946240), (1512, 20530640), (1520, 20422584), (1560, 19898928), (1596, 19450080), (1638, 18951360), (1664, 18655245), (1680, 18477576), (1710, 18153408), (1728, 17964310), (1729, 17953920), (1755, 17687936), (1820, 17056224), (1824, 17018820), (1872, 16582440), (1890, 16424512), (1920, 16167879), (1976, 15709680), (1995, 15560064), (2016, 15397980), (2052, 15127840), (2078, 14938560), (2080, 14924196), (2128, 14587560), (2160, 14371448), (2184, 14213520), (2223, 13964160), (2240, 13858182), (2280, 13615056), (2340, 13265952), (2394, 12966720), (2432, 12764115), (2457, 12634240), (2470, 12567744), (2496, 12436830), (2520, 12318384), (2565, 12102272), (2660, 11670048), (2688, 11548485), (2730, 11370816), (2736, 11345880), (2808, 11054960), (2880, 10778586), (2912, 10660140), (2964, 10473120), (3024, 10265320), (3040, 10211292), (3117, 9959040), (3120, 9949464), (3192, 9725040), (3276, 9475680), (3360, 9238788), (3420, 9076704), (3456, 8982155), (3458, 8976960), (3510, 8843968), (3591, 8644480), (3640, 8528112), (3648, 8509410), (3705, 8378496), (3744, 8291220), (3780, 8212256), (3952, 7854840), (3990, 7780032), (4032, 7698990), (4095, 7580544), (4104, 7563920), (4156, 7469280), (4160, 7462098), (4256, 7293780), (4320, 7185724), (4368, 7106760), (4446, 6982080), (4480, 6929091), (4560, 6807528), (4680, 6632976), (4788, 6483360), (4914, 6317120), (4940, 6283872), (4992, 6218415), (5040, 6159192), (5130, 6051136), (5187, 5984640), (5195, 5975424), (5320, 5835024), (5460, 5685408), (5472, 5672940), (5616, 5527480), (5760, 5389293), (5824, 5330070), (5928, 5236560), (5985, 5186688), (6048, 5132660), (6080, 5105646), (6234, 4979520), (6240, 4974732), (6384, 4862520), (6552, 4737840), (6669, 4654720), (6720, 4619394), (6840, 4538352), (6916, 4488480), (7020, 4421984), (7182, 4322240), (7273, 4268160), (7280, 4264056), (7296, 4254705), (7410, 4189248), (7488, 4145610), (7560, 4106128), (7904, 3927420), (7980, 3890016), (8064, 3849495), (8190, 3790272), (8208, 3781960), (8312, 3734640), (8320, 3731049), (8512, 3646890), (8640, 3592862), (8645, 3590784), (8736, 3553380), (8892, 3491040), (9120, 3403764), (9351, 3319680), (9360, 3316488), (9576, 3241680), (9828, 3158560), (9880, 3141936), (10080, 3079596), (10260, 3025568), (10374, 2992320), (10390, 2987712), (10640, 2917512), (10920, 2842704), (10944, 2836470), (11115, 2792832), (11232, 2763740), (11648, 2665035), (11856, 2618280), (11970, 2593344), (12096, 2566330), (12160, 2552823), (12285, 2526848), (12468, 2489760), (12480, 2487366), (12768, 2431260), (13104, 2368920), (13338, 2327360), (13440, 2309697), (13507, 2298240), (13680, 2269176), (13832, 2244240), (14040, 2210992), (14364, 2161120), (14546, 2134080), (14560, 2132028), (14820, 2094624), (14976, 2072805), (15120, 2053064), (15561, 1994880), (15585, 1991808), (15808, 1963710), (15960, 1945008), (16380, 1895136), (16416, 1890980), (16624, 1867320), (17024, 1823445), (17280, 1796431), (17290, 1795392), (17472, 1776690), (17784, 1745520), (17955, 1728896), (18240, 1701882), (18702, 1659840), (18720, 1658244), (19152, 1620840), (19656, 1579280), (19741, 1572480), (19760, 1570968), (20160, 1539798), (20520, 1512784), (20748, 1496160), (20780, 1493856), (21280, 1458756), (21819, 1422720), (21840, 1421352), (21888, 1418235), (22230, 1396416), (22464, 1381870), (23712, 1309140), (23940, 1296672), (24192, 1283165), (24570, 1263424), (24936, 1244880), (24960, 1243683), (25536, 1215630), (25935, 1196928), (26208, 1184460), (26676, 1163680), (27014, 1149120), (27360, 1134588), (27664, 1122120), (28053, 1106560), (28080, 1105496), (28728, 1080560), (29092, 1067040), (29120, 1066014), (29640, 1047312), (30240, 1026532), (31122, 997440), (31170, 995904), (31616, 981855), (31920, 972504), (32760, 947568), (32832, 945490), (33248, 933660), (33345, 930944), (34580, 897696), (34944, 888345), (35568, 872760), (35910, 864448), (36365, 853632), (36480, 850941), (37404, 829920), (37440, 829122), (38304, 810420), (39312, 789640), (39482, 786240), (39520, 785484), (40320, 769899), (40521, 766080), (41040, 756392), (41496, 748080), (41560, 746928), (42560, 729378), (43638, 711360), (43680, 710676), (44460, 698208), (44928, 690935), (46683, 664960), (46755, 663936), (47424, 654570), (47880, 648336), (49140, 631712), (49872, 622440), (51072, 607815), (51870, 598464), (52416, 592230), (53352, 581840), (54028, 574560), (54720, 567294), (55328, 561060), (56106, 553280), (56160, 552748), (57456, 540280), (58184, 533520), (58240, 533007), (59223, 524160), (59280, 523656), (60480, 513266), (62244, 498720), (62340, 497952), (63840, 486252), (65457, 474240), (65520, 473784), (65664, 472745), (66496, 466830), (66690, 465472), (67535, 459648), (69160, 448848), (71136, 436380), (71820, 432224), (72730, 426816), (74808, 414960), (74880, 414561), (76608, 405210), (77805, 398976), (78624, 394820), (78964, 393120), (79040, 392742), (81042, 383040), (82080, 378196), (82992, 374040), (83120, 373464), (85120, 364689), (87276, 355680), (87360, 355338), (88920, 349104), (93366, 332480), (93510, 331968), (94549, 328320), (94848, 327285), (95760, 324168), (98280, 315856), (98705, 314496), (99744, 311220), (103740, 299232), (104832, 296115), (106704, 290920), (108056, 287280), (109095, 284544), (109440, 283647), (110656, 280530), (112212, 276640), (112320, 276374), (114912, 270140), (116368, 266760), (118446, 262080), (118560, 261828), (120960, 256633), (121563, 255360), (124488, 249360), (124680, 248976), (127680, 243126), (130914, 237120), (131040, 236892), (132992, 233415), (133380, 232736), (135070, 229824), (138187, 224640), (138320, 224424), (140265, 221312), (142272, 218190), (143640, 216112), (145460, 213408), (149616, 207480), (153216, 202605), (155610, 199488), (157248, 197410), (157928, 196560), (158080, 196371), (162084, 191520), (164160, 189098), (165984, 187020), (166240, 186732), (174552, 177840), (174720, 177669)]