30837456000

素因数分解:

$2^7\times 3^3\times 5^3\times {\mathrm{13}}^1\times {\mathrm{17}}^2\times {\mathrm{19}}^1$

素因数の和:104

約数の個数: 1536

約数和(自身を含む): 136779552000

約数和(自身を除く): 105942096000

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 17, 18, 19, 20, 24, 25, 26, 27, 30, 32, 34, 36, 38, 39, 40, 45, 48, 50, 51, 52, 54, 57, 60, 64, 65, 68, 72, 75, 76, 78, 80, 85, 90, 95, 96, 100, 102, 104, 108, 114, 117, 120, 125, 128, 130, 135, 136, 144, 150, 152, 153, 156, 160, 170, 171, 180, 190, 192, 195, 200, 204, 208, 216, 221, 225, 228, 234, 240, 247, 250, 255, 260, 270, 272, 285, 288, 289, 300, 304, 306, 312, 320, 323, 325, 340, 342, 351, 360, 375, 380, 384, 390, 400, 408, 416, 425, 432, 442, 450, 456, 459, 468, 475, 480, 494, 500, 510, 513, 520, 540, 544, 570, 576, 578, 585, 600, 608, 612, 624, 640, 646, 650, 663, 675, 680, 684, 702, 720, 741, 750, 760, 765, 780, 800, 816, 832, 850, 855, 864, 867, 884, 900, 912, 918, 936, 950, 960, 969, 975, 988, 1000, 1020, 1026, 1040, 1080, 1088, 1105, 1125, 1140, 1152, 1156, 1170, 1200, 1216, 1224, 1235, 1248, 1275, 1292, 1300, 1326, 1350, 1360, 1368, 1404, 1425, 1440, 1445, 1482, 1500, 1520, 1530, 1560, 1600, 1615, 1625, 1632, 1664, 1700, 1710, 1728, 1734, 1755, 1768, 1800, 1824, 1836, 1872, 1900, 1920, 1938, 1950, 1976, 1989, 2000, 2040, 2052, 2080, 2125, 2160, 2176, 2210, 2223, 2250, 2280, 2295, 2312, 2340, 2375, 2400, 2432, 2448, 2470, 2496, 2550, 2565, 2584, 2600, 2601, 2652, 2700, 2720, 2736, 2808, 2850, 2880, 2890, 2907, 2925, 2964, 3000, 3040, 3060, 3120, 3200, 3230, 3250, 3264, 3315, 3375, 3400, 3420, 3456, 3468, 3510, 3536, 3600, 3648, 3672, 3705, 3744, 3757, 3800, 3825, 3876, 3900, 3952, 3978, 4000, 4080, 4104, 4160, 4199, 4250, 4275, 4320, 4335, 4420, 4446, 4500, 4560, 4590, 4624, 4680, 4750, 4800, 4845, 4875, 4896, 4940, 4992, 5100, 5130, 5168, 5200, 5202, 5304, 5400, 5440, 5472, 5491, 5525, 5616, 5700, 5760, 5780, 5814, 5850, 5928, 5967, 6000, 6080, 6120, 6175, 6240, 6375, 6460, 6500, 6528, 6630, 6669, 6750, 6800, 6840, 6936, 7020, 7072, 7125, 7200, 7225, 7296, 7344, 7410, 7488, 7514, 7600, 7650, 7752, 7800, 7803, 7904, 7956, 8000, 8075, 8160, 8208, 8320, 8398, 8500, 8550, 8640, 8670, 8721, 8775, 8840, 8892, 9000, 9120, 9180, 9248, 9360, 9500, 9600, 9690, 9750, 9792, 9880, 9945, 10200, 10260, 10336, 10400, 10404, 10608, 10800, 10880, 10944, 10982, 11050, 11115, 11232, 11271, 11400, 11475, 11560, 11628, 11700, 11856, 11934, 12000, 12160, 12240, 12350, 12480, 12597, 12750, 12825, 12920, 13000, 13005, 13260, 13338, 13500, 13600, 13680, 13872, 14040, 14144, 14250, 14400, 14450, 14535, 14625, 14688, 14820, 14976, 15028, 15200, 15300, 15504, 15600, 15606, 15808, 15912, 16000, 16150, 16320, 16416, 16473, 16575, 16796, 17000, 17100, 17280, 17340, 17442, 17550, 17680, 17784, 18000, 18240, 18360, 18496, 18525, 18720, 18785, 19000, 19125, 19380, 19500, 19584, 19760, 19890, 20400, 20520, 20672, 20800, 20808, 20995, 21216, 21375, 21600, 21675, 21888, 21964, 22100, 22230, 22464, 22542, 22800, 22950, 23120, 23256, 23400, 23712, 23868, 24000, 24225, 24480, 24700, 24960, 25194, 25500, 25650, 25840, 26000, 26010, 26520, 26676, 27000, 27200, 27360, 27455, 27625, 27744, 28080, 28288, 28500, 28800, 28900, 29070, 29250, 29376, 29640, 29835, 30056, 30400, 30600, 30875, 31008, 31200, 31212, 31616, 31824, 32300, 32640, 32832, 32946, 33150, 33345, 33592, 33813, 34000, 34200, 34680, 34884, 35100, 35360, 35568, 36000, 36125, 36480, 36720, 36992, 37050, 37440, 37570, 37791, 38000, 38250, 38760, 39000, 39015, 39520, 39780, 40375, 40800, 41040, 41344, 41600, 41616, 41990, 42432, 42750, 43200, 43350, 43605, 43875, 43928, 44200, 44460, 44928, 45084, 45600, 45900, 46240, 46512, 46800, 47424, 47736, 48000, 48450, 48960, 49400, 49419, 49725, 50388, 51000, 51300, 51680, 52000, 52020, 53040, 53352, 54000, 54400, 54720, 54910, 55250, 55488, 55575, 56160, 56355, 57000, 57375, 57800, 58140, 58500, 58752, 59280, 59670, 60112, 60800, 61200, 61750, 62016, 62400, 62424, 62985, 63648, 64125, 64600, 65025, 65664, 65892, 66300, 66690, 67184, 67626, 68000, 68400, 69360, 69768, 70200, 70720, 71136, 71383, 72000, 72250, 72675, 73440, 74100, 74880, 75140, 75582, 76000, 76500, 77520, 78000, 78030, 79040, 79560, 80750, 81600, 82080, 82365, 82875, 83232, 83980, 84864, 85500, 86400, 86700, 87210, 87750, 87856, 88400, 88920, 90168, 91200, 91800, 92480, 92625, 93024, 93600, 93925, 94848, 95472, 96900, 97920, 98800, 98838, 99450, 100776, 101439, 102000, 102600, 103360, 104000, 104040, 104975, 106080, 106704, 108000, 108375, 109440, 109820, 110500, 110976, 111150, 112320, 112710, 113373, 114000, 114750, 115600, 116280, 117000, 118560, 119340, 120224, 121125, 122400, 123500, 124032, 124800, 124848, 125970, 127296, 128250, 129200, 130050, 131784, 132600, 133380, 134368, 135252, 136000, 136800, 137275, 138720, 139536, 140400, 141440, 142272, 142766, 144000, 144500, 145350, 146880, 148200, 148257, 149175, 150280, 151164, 152000, 153000, 155040, 156000, 156060, 158080, 159120, 161500, 163200, 164160, 164730, 165750, 166464, 166725, 167960, 169065, 171000, 173400, 174420, 175500, 175712, 176800, 177840, 180336, 182400, 183600, 184960, 185250, 186048, 187200, 187850, 188955, 190944, 193800, 195075, 197600, 197676, 198900, 201552, 202878, 204000, 205200, 206720, 208000, 208080, 209950, 212160, 213408, 214149, 216000, 216750, 218025, 219640, 221000, 222300, 224640, 225420, 226746, 228000, 229500, 231200, 232560, 234000, 237120, 238680, 240448, 242250, 244800, 247000, 247095, 248625, 249696, 251940, 254592, 256500, 258400, 260100, 263568, 265200, 266760, 268736, 270504, 272000, 273600, 274550, 277440, 277875, 279072, 280800, 281775, 284544, 285532, 289000, 290700, 293760, 296400, 296514, 298350, 300560, 302328, 304000, 306000, 310080, 312000, 312120, 314925, 318240, 323000, 325125, 328320, 329460, 331500, 332928, 333450, 335920, 338130, 342000, 346800, 348840, 351000, 351424, 353600, 355680, 356915, 360672, 363375, 367200, 370500, 372096, 374400, 375700, 377910, 381888, 387600, 390150, 395200, 395352, 397800, 403104, 405756, 408000, 410400, 411825, 416160, 419900, 424320, 426816, 428298, 432000, 433500, 436050, 439280, 442000, 444600, 450840, 453492, 456000, 459000, 462400, 465120, 468000, 469625, 474240, 477360, 480896, 484500, 489600, 494000, 494190, 497250, 499392, 503880, 507195, 513000, 516800, 520200, 524875, 527136, 530400, 533520, 537472, 541008, 547200, 549100, 554880, 555750, 558144, 561600, 563550, 566865, 571064, 578000, 581400, 592800, 593028, 596700, 601120, 604656, 612000, 620160, 624000, 624240, 629850, 636480, 642447, 646000, 650250, 658920, 663000, 666900, 671840, 676260, 684000, 686375, 693600, 697680, 702000, 702848, 707200, 711360, 713830, 721344, 726750, 734400, 741000, 741285, 745875, 751400, 755820, 763776, 775200, 780300, 790400, 790704, 795600, 806208, 811512, 816000, 820800, 823650, 832320, 833625, 839800, 845325, 853632, 856596, 867000, 872100, 878560, 884000, 889200, 901680, 906984, 912000, 918000, 924800, 930240, 936000, 939250, 944775, 954720, 969000, 975375, 988000, 988380, 994500, 998784, 1007760, 1014390, 1026000, 1033600, 1040400, 1049750, 1054272, 1060800, 1067040, 1070745, 1082016, 1090125, 1098200, 1111500, 1116288, 1123200, 1127100, 1133730, 1142128, 1156000, 1162800, 1185600, 1186056, 1193400, 1202240, 1209312, 1224000, 1235475, 1248480, 1259700, 1272960, 1284894, 1292000, 1300500, 1317840, 1326000, 1333800, 1343680, 1352520, 1368000, 1372750, 1387200, 1395360, 1404000, 1408875, 1422720, 1427660, 1442688, 1453500, 1468800, 1482000, 1482570, 1491750, 1502800, 1511640, 1550400, 1560600, 1574625, 1581408, 1591200, 1612416, 1623024, 1641600, 1647300, 1664640, 1667250, 1679600, 1690650, 1713192, 1734000, 1744200, 1757120, 1768000, 1778400, 1784575, 1803360, 1813968, 1836000, 1860480, 1872000, 1878500, 1889550, 1909440, 1927341, 1938000, 1950750, 1976000, 1976760, 1989000, 2015520, 2028780, 2052000, 2059125, 2080800, 2099500, 2108544, 2121600, 2134080, 2141490, 2164032, 2180250, 2196400, 2223000, 2254200, 2267460, 2284256, 2312000, 2325600, 2371200, 2372112, 2386800, 2404480, 2418624, 2448000, 2470950, 2496960, 2519400, 2535975, 2569788, 2584000, 2601000, 2635680, 2652000, 2667600, 2687360, 2705040, 2736000, 2745500, 2774400, 2790720, 2808000, 2817750, 2834325, 2855320, 2907000, 2964000, 2965140, 2983500, 3005600, 3023280, 3100800, 3121200, 3149250, 3162816, 3182400, 3212235, 3246048, 3294600, 3334500, 3359200, 3381300, 3426384, 3468000, 3488400, 3514240, 3536000, 3556800, 3569150, 3606720, 3627936, 3672000, 3706425, 3757000, 3779100, 3818880, 3854682, 3876000, 3901500, 3952000, 3953520, 3978000, 4031040, 4057560, 4104000, 4118250, 4161600, 4199000, 4226625, 4268160, 4282980, 4328064, 4360500, 4392800, 4446000, 4508400, 4534920, 4568512, 4624000, 4651200, 4723875, 4744224, 4773600, 4837248, 4941900, 4993920, 5038800, 5071950, 5139576, 5168000, 5202000, 5271360, 5304000, 5335200, 5353725, 5410080, 5491000, 5581440, 5616000, 5635500, 5668650, 5710640, 5814000, 5928000, 5930280, 5967000, 6011200, 6046560, 6177375, 6242400, 6298500, 6325632, 6364800, 6424470, 6492096, 6589200, 6669000, 6718400, 6762600, 6852768, 6936000, 6976800, 7113600, 7138300, 7213440, 7255872, 7344000, 7412850, 7514000, 7558200, 7709364, 7752000, 7803000, 7907040, 7956000, 8062080, 8115120, 8208000, 8236500, 8323200, 8398000, 8453250, 8565960, 8721000, 8785600, 8892000, 8922875, 9016800, 9069840, 9137024, 9302400, 9447750, 9488448, 9547200, 9636705, 9883800, 10077600, 10143900, 10279152, 10404000, 10542720, 10608000, 10670400, 10707450, 10820160, 10982000, 11271000, 11337300, 11421280, 11628000, 11856000, 11860560, 11934000, 12022400, 12093120, 12354750, 12484800, 12597000, 12679875, 12848940, 12984192, 13178400, 13338000, 13436800, 13525200, 13705536, 13872000, 13953600, 14171625, 14276600, 14511744, 14825700, 15028000, 15116400, 15418728, 15504000, 15606000, 15814080, 15912000, 16061175, 16230240, 16473000, 16796000, 16906500, 17131920, 17442000, 17571200, 17784000, 17845750, 18033600, 18139680, 18532125, 18895500, 18976896, 19094400, 19273410, 19767600, 20155200, 20287800, 20558304, 20808000, 21340800, 21414900, 21640320, 21964000, 22542000, 22674600, 22842560, 23256000, 23721120, 23868000, 24186240, 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約数ペア:

[(1, 30837456000), (2, 15418728000), (3, 10279152000), (4, 7709364000), (5, 6167491200), (6, 5139576000), (8, 3854682000), (9, 3426384000), (10, 3083745600), (12, 2569788000), (13, 2372112000), (15, 2055830400), (16, 1927341000), (17, 1813968000), (18, 1713192000), (19, 1623024000), (20, 1541872800), (24, 1284894000), (25, 1233498240), (26, 1186056000), (27, 1142128000), (30, 1027915200), (32, 963670500), (34, 906984000), (36, 856596000), (38, 811512000), (39, 790704000), (40, 770936400), (45, 685276800), (48, 642447000), (50, 616749120), (51, 604656000), (52, 593028000), (54, 571064000), (57, 541008000), (60, 513957600), (64, 481835250), (65, 474422400), (68, 453492000), (72, 428298000), (75, 411166080), (76, 405756000), (78, 395352000), (80, 385468200), (85, 362793600), (90, 342638400), (95, 324604800), (96, 321223500), (100, 308374560), (102, 302328000), (104, 296514000), (108, 285532000), (114, 270504000), (117, 263568000), (120, 256978800), (125, 246699648), (128, 240917625), (130, 237211200), (135, 228425600), (136, 226746000), (144, 214149000), (150, 205583040), (152, 202878000), (153, 201552000), (156, 197676000), (160, 192734100), (170, 181396800), (171, 180336000), (180, 171319200), (190, 162302400), (192, 160611750), (195, 158140800), (200, 154187280), (204, 151164000), (208, 148257000), (216, 142766000), (221, 139536000), (225, 137055360), (228, 135252000), (234, 131784000), (240, 128489400), (247, 124848000), (250, 123349824), (255, 120931200), (260, 118605600), (270, 114212800), (272, 113373000), (285, 108201600), (288, 107074500), (289, 106704000), (300, 102791520), (304, 101439000), (306, 100776000), (312, 98838000), (320, 96367050), (323, 95472000), (325, 94884480), (340, 90698400), (342, 90168000), (351, 87856000), (360, 85659600), (375, 82233216), (380, 81151200), (384, 80305875), (390, 79070400), (400, 77093640), (408, 75582000), (416, 74128500), (425, 72558720), (432, 71383000), (442, 69768000), (450, 68527680), (456, 67626000), (459, 67184000), (468, 65892000), (475, 64920960), (480, 64244700), (494, 62424000), (500, 61674912), (510, 60465600), (513, 60112000), (520, 59302800), (540, 57106400), (544, 56686500), (570, 54100800), (576, 53537250), (578, 53352000), (585, 52713600), (600, 51395760), (608, 50719500), (612, 50388000), (624, 49419000), (640, 48183525), (646, 47736000), (650, 47442240), (663, 46512000), (675, 45685120), (680, 45349200), (684, 45084000), (702, 43928000), (720, 42829800), (741, 41616000), (750, 41116608), (760, 40575600), (765, 40310400), (780, 39535200), (800, 38546820), (816, 37791000), (832, 37064250), (850, 36279360), (855, 36067200), (864, 35691500), (867, 35568000), (884, 34884000), (900, 34263840), (912, 33813000), (918, 33592000), (936, 32946000), (950, 32460480), (960, 32122350), (969, 31824000), (975, 31628160), (988, 31212000), (1000, 30837456), (1020, 30232800), (1026, 30056000), (1040, 29651400), (1080, 28553200), (1088, 28343250), (1105, 27907200), (1125, 27411072), (1140, 27050400), (1152, 26768625), (1156, 26676000), (1170, 26356800), (1200, 25697880), (1216, 25359750), (1224, 25194000), (1235, 24969600), (1248, 24709500), (1275, 24186240), (1292, 23868000), (1300, 23721120), (1326, 23256000), (1350, 22842560), (1360, 22674600), (1368, 22542000), (1404, 21964000), (1425, 21640320), (1440, 21414900), (1445, 21340800), (1482, 20808000), (1500, 20558304), (1520, 20287800), (1530, 20155200), (1560, 19767600), (1600, 19273410), (1615, 19094400), (1625, 18976896), (1632, 18895500), (1664, 18532125), (1700, 18139680), (1710, 18033600), (1728, 17845750), (1734, 17784000), (1755, 17571200), (1768, 17442000), (1800, 17131920), (1824, 16906500), (1836, 16796000), (1872, 16473000), (1900, 16230240), (1920, 16061175), (1938, 15912000), (1950, 15814080), (1976, 15606000), (1989, 15504000), (2000, 15418728), (2040, 15116400), (2052, 15028000), (2080, 14825700), (2125, 14511744), (2160, 14276600), (2176, 14171625), (2210, 13953600), (2223, 13872000), (2250, 13705536), 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