30944160000

素因数分解:

$2^8\times 3^3\times 5^4\times {\mathrm{13}}^1\times {\mathrm{19}}^1\times {\mathrm{29}}^1$

素因数の和:106

約数の個数: 1440

約数和(自身を含む): 134094576000

約数和(自身を除く): 103150416000

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 19, 20, 24, 25, 26, 27, 29, 30, 32, 36, 38, 39, 40, 45, 48, 50, 52, 54, 57, 58, 60, 64, 65, 72, 75, 76, 78, 80, 87, 90, 95, 96, 100, 104, 108, 114, 116, 117, 120, 125, 128, 130, 135, 144, 145, 150, 152, 156, 160, 171, 174, 180, 190, 192, 195, 200, 208, 216, 225, 228, 232, 234, 240, 247, 250, 256, 260, 261, 270, 285, 288, 290, 300, 304, 312, 320, 325, 342, 348, 351, 360, 375, 377, 380, 384, 390, 400, 416, 432, 435, 450, 456, 464, 468, 475, 480, 494, 500, 513, 520, 522, 540, 551, 570, 576, 580, 585, 600, 608, 624, 625, 640, 650, 675, 684, 696, 702, 720, 725, 741, 750, 754, 760, 768, 780, 783, 800, 832, 855, 864, 870, 900, 912, 928, 936, 950, 960, 975, 988, 1000, 1026, 1040, 1044, 1080, 1102, 1125, 1131, 1140, 1152, 1160, 1170, 1200, 1216, 1235, 1248, 1250, 1280, 1300, 1305, 1350, 1368, 1392, 1404, 1425, 1440, 1450, 1482, 1500, 1508, 1520, 1560, 1566, 1600, 1625, 1653, 1664, 1710, 1728, 1740, 1755, 1800, 1824, 1856, 1872, 1875, 1885, 1900, 1920, 1950, 1976, 2000, 2052, 2080, 2088, 2160, 2175, 2204, 2223, 2250, 2262, 2280, 2304, 2320, 2340, 2375, 2400, 2432, 2470, 2496, 2500, 2565, 2600, 2610, 2700, 2736, 2755, 2784, 2808, 2850, 2880, 2900, 2925, 2964, 3000, 3016, 3040, 3120, 3132, 3200, 3250, 3306, 3328, 3375, 3393, 3420, 3456, 3480, 3510, 3600, 3625, 3648, 3705, 3712, 3744, 3750, 3770, 3800, 3840, 3900, 3915, 3952, 4000, 4104, 4160, 4176, 4275, 4320, 4350, 4408, 4446, 4500, 4524, 4560, 4640, 4680, 4750, 4800, 4864, 4875, 4940, 4959, 4992, 5000, 5130, 5200, 5220, 5400, 5472, 5510, 5568, 5616, 5625, 5655, 5700, 5760, 5800, 5850, 5928, 6000, 6032, 6080, 6175, 6240, 6264, 6400, 6500, 6525, 6612, 6669, 6750, 6786, 6840, 6912, 6960, 7020, 7125, 7163, 7200, 7250, 7296, 7410, 7424, 7488, 7500, 7540, 7600, 7800, 7830, 7904, 8000, 8125, 8208, 8265, 8320, 8352, 8550, 8640, 8700, 8775, 8816, 8892, 9000, 9048, 9120, 9280, 9360, 9425, 9500, 9600, 9750, 9880, 9918, 9984, 10000, 10179, 10260, 10400, 10440, 10800, 10875, 10944, 11020, 11115, 11136, 11232, 11250, 11310, 11400, 11520, 11600, 11700, 11856, 11875, 12000, 12064, 12160, 12350, 12480, 12528, 12825, 13000, 13050, 13224, 13338, 13500, 13572, 13680, 13775, 13920, 14040, 14250, 14326, 14400, 14500, 14592, 14625, 14820, 14877, 14976, 15000, 15080, 15200, 15600, 15660, 15808, 16000, 16250, 16416, 16530, 16640, 16704, 16875, 16965, 17100, 17280, 17400, 17550, 17632, 17784, 18000, 18096, 18125, 18240, 18525, 18560, 18720, 18850, 19000, 19200, 19500, 19575, 19760, 19836, 20000, 20358, 20520, 20800, 20880, 21375, 21489, 21600, 21750, 21888, 22040, 22230, 22272, 22464, 22500, 22620, 22800, 23200, 23400, 23712, 23750, 24000, 24128, 24320, 24375, 24700, 24795, 24960, 25056, 25650, 26000, 26100, 26448, 26676, 27000, 27144, 27360, 27550, 27840, 28080, 28275, 28500, 28652, 28800, 29000, 29250, 29640, 29754, 29952, 30000, 30160, 30400, 30875, 31200, 31320, 31616, 32000, 32500, 32625, 32832, 33060, 33345, 33408, 33750, 33930, 34200, 34560, 34800, 35100, 35264, 35568, 35625, 35815, 36000, 36192, 36250, 36480, 37050, 37120, 37440, 37700, 38000, 39000, 39150, 39520, 39672, 40000, 40716, 41040, 41325, 41600, 41760, 42750, 42978, 43200, 43500, 43776, 43875, 44080, 44460, 44928, 45000, 45240, 45600, 46400, 46800, 47125, 47424, 47500, 48000, 48256, 48750, 49400, 49590, 49920, 50112, 50895, 51300, 52000, 52200, 52896, 53352, 54000, 54288, 54375, 54720, 55100, 55575, 55680, 56160, 56550, 57000, 57304, 57600, 58000, 58500, 59280, 59508, 60000, 60320, 60800, 61750, 62400, 62640, 63232, 64125, 64467, 65000, 65250, 65664, 66120, 66690, 66816, 67500, 67860, 68400, 68875, 69600, 70200, 70528, 71136, 71250, 71630, 72000, 72384, 72500, 72960, 73125, 74100, 74385, 74880, 75400, 76000, 78000, 78300, 79040, 79344, 80000, 81432, 82080, 82650, 83200, 83520, 84825, 85500, 85956, 86400, 87000, 87750, 88160, 88920, 89856, 90000, 90480, 91200, 92625, 92800, 93600, 94250, 94848, 95000, 96000, 96512, 97500, 97875, 98800, 99180, 100224, 101790, 102600, 104000, 104400, 105792, 106704, 106875, 107445, 108000, 108576, 108750, 109440, 110200, 111150, 111360, 112320, 113100, 114000, 114608, 116000, 117000, 118560, 119016, 120000, 120640, 121600, 123500, 123975, 124800, 125280, 128250, 128934, 130000, 130500, 131328, 132240, 133380, 135000, 135720, 136800, 137750, 139200, 140400, 141056, 141375, 142272, 142500, 143260, 144000, 144768, 145000, 146250, 148200, 148770, 149760, 150800, 152000, 154375, 156000, 156600, 158080, 158688, 160000, 162864, 163125, 164160, 165300, 166725, 167040, 169650, 171000, 171912, 172800, 174000, 175500, 176320, 177840, 179075, 180000, 180960, 182400, 185250, 185600, 187200, 188500, 189696, 190000, 193401, 195000, 195750, 197600, 198360, 200448, 203580, 205200, 206625, 208000, 208800, 211584, 213408, 213750, 214890, 216000, 217152, 217500, 218880, 219375, 220400, 222300, 224640, 226200, 228000, 229216, 232000, 234000, 235625, 237120, 238032, 240000, 241280, 247000, 247950, 249600, 250560, 254475, 256500, 257868, 260000, 261000, 264480, 266760, 270000, 271440, 273600, 275500, 277875, 278400, 280800, 282750, 284544, 285000, 286520, 288000, 289536, 290000, 292500, 296400, 297540, 301600, 304000, 308750, 312000, 313200, 316160, 317376, 320625, 322335, 325728, 326250, 328320, 330600, 333450, 334080, 339300, 342000, 343824, 344375, 348000, 351000, 352640, 355680, 358150, 360000, 361920, 364800, 370500, 371925, 374400, 377000, 380000, 386802, 390000, 391500, 395200, 396720, 407160, 410400, 413250, 416000, 417600, 423168, 424125, 426816, 427500, 429780, 432000, 434304, 435000, 438750, 440800, 444600, 449280, 452400, 456000, 458432, 463125, 464000, 468000, 471250, 474240, 476064, 480000, 482560, 489375, 494000, 495900, 501120, 508950, 513000, 515736, 520000, 522000, 528960, 533520, 537225, 540000, 542880, 547200, 551000, 555750, 556800, 561600, 565500, 569088, 570000, 573040, 580000, 585000, 592800, 595080, 603200, 608000, 617500, 619875, 624000, 626400, 634752, 641250, 644670, 651456, 652500, 656640, 661200, 666900, 678600, 684000, 687648, 688750, 696000, 702000, 705280, 706875, 711360, 716300, 720000, 723840, 741000, 743850, 748800, 754000, 760000, 773604, 780000, 783000, 790400, 793440, 814320, 820800, 826500, 833625, 835200, 848250, 853632, 855000, 859560, 864000, 868608, 870000, 877500, 881600, 889200, 895375, 904800, 912000, 916864, 926250, 928000, 936000, 942500, 948480, 952128, 967005, 978750, 988000, 991800, 1002240, 1017900, 1026000, 1031472, 1033125, 1040000, 1044000, 1057920, 1067040, 1074450, 1080000, 1085760, 1094400, 1102000, 1111500, 1123200, 1131000, 1140000, 1146080, 1160000, 1170000, 1185600, 1190160, 1206400, 1235000, 1239750, 1248000, 1252800, 1269504, 1272375, 1282500, 1289340, 1302912, 1305000, 1322400, 1333800, 1357200, 1368000, 1375296, 1377500, 1389375, 1392000, 1404000, 1413750, 1422720, 1432600, 1440000, 1447680, 1482000, 1487700, 1508000, 1520000, 1547208, 1560000, 1566000, 1580800, 1586880, 1611675, 1628640, 1641600, 1653000, 1667250, 1670400, 1696500, 1707264, 1710000, 1719120, 1740000, 1755000, 1763200, 1778400, 1790750, 1809600, 1824000, 1833728, 1852500, 1859625, 1872000, 1885000, 1904256, 1934010, 1957500, 1976000, 1983600, 2035800, 2052000, 2062944, 2066250, 2080000, 2088000, 2115840, 2120625, 2134080, 2148900, 2160000, 2171520, 2204000, 2223000, 2246400, 2262000, 2280000, 2292160, 2320000, 2340000, 2371200, 2380320, 2412800, 2470000, 2479500, 2505600, 2544750, 2565000, 2578680, 2605824, 2610000, 2644800, 2667600, 2686125, 2714400, 2736000, 2750592, 2755000, 2778750, 2784000, 2808000, 2827500, 2845440, 2865200, 2964000, 2975400, 3016000, 3040000, 3094416, 3099375, 3120000, 3132000, 3173760, 3223350, 3257280, 3283200, 3306000, 3334500, 3393000, 3420000, 3438240, 3480000, 3510000, 3526400, 3556800, 3581500, 3619200, 3705000, 3719250, 3744000, 3770000, 3808512, 3868020, 3915000, 3952000, 3967200, 4071600, 4104000, 4125888, 4132500, 4168125, 4176000, 4241250, 4268160, 4297800, 4320000, 4343040, 4408000, 4446000, 4476875, 4524000, 4560000, 4584320, 4640000, 4680000, 4742400, 4760640, 4835025, 4940000, 4959000, 5011200, 5089500, 5130000, 5157360, 5220000, 5289600, 5335200, 5372250, 5428800, 5472000, 5501184, 5510000, 5557500, 5616000, 5655000, 5730400, 5928000, 5950800, 6032000, 6188832, 6198750, 6240000, 6264000, 6347520, 6361875, 6446700, 6514560, 6612000, 6669000, 6786000, 6840000, 6876480, 6960000, 7020000, 7113600, 7163000, 7238400, 7410000, 7438500, 7540000, 7736040, 7830000, 7904000, 7934400, 8058375, 8143200, 8208000, 8251776, 8265000, 8336250, 8352000, 8482500, 8536320, 8595600, 8816000, 8892000, 8953750, 9048000, 9120000, 9168640, 9298125, 9360000, 9521280, 9670050, 9880000, 9918000, 10179000, 10260000, 10314720, 10440000, 10579200, 10670400, 10744500, 10857600, 11020000, 11115000, 11232000, 11310000, 11460800, 11856000, 11901600, 12064000, 12377664, 12397500, 12528000, 12723750, 12893400, 13029120, 13224000, 13338000, 13430625, 13572000, 13680000, 13752960, 13920000, 14040000, 14227200, 14326000, 14820000, 14877000, 15080000, 15472080, 15660000, 15868800, 16116750, 16286400, 16416000, 16503552, 16530000, 16672500, 16965000, 17191200, 17632000, 17784000, 17907500, 18096000, 18596250, 18720000, 19042560, 19340100, 19760000, 19836000, 20358000, 20520000, 20629440, 20880000, 21340800, 21489000, 21715200, 22040000, 22230000, 22620000, 22921600, 23712000, 23803200, 24175125, 24755328, 24795000, 25056000, 25447500, 25786800, 26448000, 26676000, 26861250, 27144000, 27360000, 27505920, 28080000, 28652000, 29640000, 29754000, 30160000, 30944160, 31320000, 31737600, 32233500, 32572800, 33060000, 33345000, 33930000, 34382400, 35568000, 35815000, 36192000, 37192500, 38680200, 39520000, 39672000, 40291875, 40716000, 41040000, 41258880, 41760000, 42681600, 42978000, 44080000, 44460000, 45240000, 45843200, 47606400, 48350250, 49510656, 49590000, 50895000, 51573600, 52896000, 53352000, 53722500, 54288000, 56160000, 57304000, 59280000, 59508000, 60320000, 61888320, 62640000, 64467000, 65145600, 66120000, 66690000, 67860000, 68764800, 71136000, 71630000, 74385000, 77360400, 79344000, 80583750, 81432000, 82080000, 82517760, 85956000, 88160000, 88920000, 90480000, 95212800, 96700500, 99180000, 101790000, 103147200, 106704000, 107445000, 108576000, 114608000, 118560000, 119016000, 120875625, 123776640, 125280000, 128934000, 132240000, 133380000, 135720000, 137529600, 143260000, 148770000, 154720800, 158688000, 161167500, 162864000, 171912000, 177840000, 180960000, 193401000, 198360000, 203580000, 206294400, 213408000, 214890000, 229216000, 238032000, 241751250, 247553280, 257868000, 264480000, 266760000, 271440000, 286520000, 297540000, 309441600, 322335000, 325728000, 343824000, 355680000, 386802000, 396720000, 407160000, 412588800, 429780000, 476064000, 483502500, 515736000, 533520000, 542880000, 573040000, 595080000, 618883200, 644670000, 687648000, 773604000, 793440000, 814320000, 859560000, 967005000, 1031472000, 1067040000, 1146080000, 1190160000, 1237766400, 1289340000, 1547208000, 1628640000, 1719120000, 1934010000, 2062944000, 2380320000, 2578680000, 3094416000, 3438240000, 3868020000, 5157360000, 6188832000, 7736040000, 10314720000, 15472080000, 30944160000]

約数ペア:

[(1, 30944160000), (2, 15472080000), (3, 10314720000), (4, 7736040000), (5, 6188832000), (6, 5157360000), (8, 3868020000), (9, 3438240000), (10, 3094416000), (12, 2578680000), (13, 2380320000), (15, 2062944000), (16, 1934010000), (18, 1719120000), (19, 1628640000), (20, 1547208000), (24, 1289340000), (25, 1237766400), (26, 1190160000), (27, 1146080000), (29, 1067040000), (30, 1031472000), (32, 967005000), (36, 859560000), (38, 814320000), (39, 793440000), (40, 773604000), (45, 687648000), (48, 644670000), (50, 618883200), (52, 595080000), (54, 573040000), (57, 542880000), (58, 533520000), (60, 515736000), (64, 483502500), (65, 476064000), (72, 429780000), (75, 412588800), (76, 407160000), (78, 396720000), (80, 386802000), (87, 355680000), (90, 343824000), (95, 325728000), (96, 322335000), (100, 309441600), (104, 297540000), (108, 286520000), (114, 271440000), (116, 266760000), (117, 264480000), (120, 257868000), (125, 247553280), (128, 241751250), (130, 238032000), (135, 229216000), (144, 214890000), (145, 213408000), (150, 206294400), (152, 203580000), (156, 198360000), (160, 193401000), (171, 180960000), (174, 177840000), (180, 171912000), (190, 162864000), (192, 161167500), (195, 158688000), (200, 154720800), (208, 148770000), (216, 143260000), (225, 137529600), (228, 135720000), (232, 133380000), (234, 132240000), (240, 128934000), (247, 125280000), (250, 123776640), (256, 120875625), (260, 119016000), (261, 118560000), (270, 114608000), (285, 108576000), (288, 107445000), (290, 106704000), (300, 103147200), (304, 101790000), (312, 99180000), (320, 96700500), (325, 95212800), (342, 90480000), (348, 88920000), (351, 88160000), (360, 85956000), (375, 82517760), (377, 82080000), (380, 81432000), (384, 80583750), (390, 79344000), (400, 77360400), (416, 74385000), (432, 71630000), (435, 71136000), (450, 68764800), (456, 67860000), (464, 66690000), (468, 66120000), (475, 65145600), (480, 64467000), (494, 62640000), (500, 61888320), (513, 60320000), (520, 59508000), (522, 59280000), (540, 57304000), (551, 56160000), (570, 54288000), (576, 53722500), (580, 53352000), (585, 52896000), (600, 51573600), (608, 50895000), (624, 49590000), (625, 49510656), (640, 48350250), (650, 47606400), (675, 45843200), (684, 45240000), (696, 44460000), (702, 44080000), (720, 42978000), (725, 42681600), (741, 41760000), (750, 41258880), (754, 41040000), (760, 40716000), (768, 40291875), (780, 39672000), (783, 39520000), (800, 38680200), (832, 37192500), (855, 36192000), (864, 35815000), (870, 35568000), (900, 34382400), (912, 33930000), (928, 33345000), (936, 33060000), (950, 32572800), (960, 32233500), (975, 31737600), (988, 31320000), (1000, 30944160), (1026, 30160000), (1040, 29754000), (1044, 29640000), (1080, 28652000), (1102, 28080000), (1125, 27505920), (1131, 27360000), (1140, 27144000), (1152, 26861250), (1160, 26676000), (1170, 26448000), (1200, 25786800), (1216, 25447500), (1235, 25056000), (1248, 24795000), (1250, 24755328), (1280, 24175125), (1300, 23803200), (1305, 23712000), (1350, 22921600), (1368, 22620000), (1392, 22230000), (1404, 22040000), (1425, 21715200), (1440, 21489000), (1450, 21340800), (1482, 20880000), (1500, 20629440), (1508, 20520000), (1520, 20358000), (1560, 19836000), (1566, 19760000), (1600, 19340100), (1625, 19042560), (1653, 18720000), (1664, 18596250), (1710, 18096000), (1728, 17907500), (1740, 17784000), (1755, 17632000), (1800, 17191200), (1824, 16965000), (1856, 16672500), (1872, 16530000), (1875, 16503552), (1885, 16416000), (1900, 16286400), (1920, 16116750), (1950, 15868800), (1976, 15660000), (2000, 15472080), (2052, 15080000), (2080, 14877000), (2088, 14820000), (2160, 14326000), (2175, 14227200), (2204, 14040000), (2223, 13920000), (2250, 13752960), (2262, 13680000), (2280, 13572000), (2304, 13430625), (2320, 13338000), (2340, 13224000), (2375, 13029120), (2400, 12893400), (2432, 12723750), (2470, 12528000), (2496, 12397500), (2500, 12377664), (2565, 12064000), (2600, 11901600), (2610, 11856000), (2700, 11460800), (2736, 11310000), (2755, 11232000), (2784, 11115000), (2808, 11020000), (2850, 10857600), (2880, 10744500), (2900, 10670400), (2925, 10579200), (2964, 10440000), (3000, 10314720), (3016, 10260000), (3040, 10179000), (3120, 9918000), (3132, 9880000), (3200, 9670050), (3250, 9521280), (3306, 9360000), (3328, 9298125), (3375, 9168640), (3393, 9120000), (3420, 9048000), (3456, 8953750), (3480, 8892000), (3510, 8816000), (3600, 8595600), (3625, 8536320), (3648, 8482500), (3705, 8352000), (3712, 8336250), (3744, 8265000), (3750, 8251776), (3770, 8208000), (3800, 8143200), (3840, 8058375), (3900, 7934400), (3915, 7904000), (3952, 7830000), (4000, 7736040), (4104, 7540000), (4160, 7438500), (4176, 7410000), (4275, 7238400), (4320, 7163000), (4350, 7113600), (4408, 7020000), (4446, 6960000), (4500, 6876480), (4524, 6840000), (4560, 6786000), (4640, 6669000), (4680, 6612000), (4750, 6514560), (4800, 6446700), (4864, 6361875), (4875, 6347520), (4940, 6264000), (4959, 6240000), 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