55131888000

素因数分解:

$2^7\times 3^1\times 5^3\times 7^1\times {\mathrm{31}}^1\times {\mathrm{67}}^1\times {\mathrm{79}}^1$

素因数の和:216

約数の個数: 1024

約数和(自身を含む): 221596876800

約数和(自身を除く): 166464988800

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 31, 32, 35, 40, 42, 48, 50, 56, 60, 62, 64, 67, 70, 75, 79, 80, 84, 93, 96, 100, 105, 112, 120, 124, 125, 128, 134, 140, 150, 155, 158, 160, 168, 175, 186, 192, 200, 201, 210, 217, 224, 237, 240, 248, 250, 268, 280, 300, 310, 316, 320, 335, 336, 350, 372, 375, 384, 395, 400, 402, 420, 434, 448, 465, 469, 474, 480, 496, 500, 525, 536, 553, 560, 600, 620, 632, 640, 651, 670, 672, 700, 744, 750, 775, 790, 800, 804, 840, 868, 875, 896, 930, 938, 948, 960, 992, 1000, 1005, 1050, 1072, 1085, 1106, 1120, 1185, 1200, 1240, 1264, 1302, 1340, 1344, 1400, 1407, 1488, 1500, 1550, 1580, 1600, 1608, 1659, 1675, 1680, 1736, 1750, 1860, 1876, 1896, 1920, 1975, 1984, 2000, 2010, 2077, 2100, 2144, 2170, 2212, 2240, 2325, 2345, 2370, 2400, 2449, 2480, 2528, 2604, 2625, 2680, 2688, 2765, 2800, 2814, 2976, 3000, 3100, 3160, 3200, 3216, 3255, 3318, 3350, 3360, 3472, 3500, 3720, 3752, 3792, 3875, 3950, 3968, 4000, 4020, 4154, 4200, 4288, 4340, 4424, 4480, 4650, 4690, 4740, 4800, 4898, 4960, 5025, 5056, 5208, 5250, 5293, 5360, 5425, 5530, 5600, 5628, 5925, 5952, 6000, 6200, 6231, 6320, 6432, 6510, 6636, 6700, 6720, 6944, 7000, 7035, 7347, 7440, 7504, 7584, 7750, 7900, 8000, 8040, 8295, 8308, 8375, 8400, 8576, 8680, 8848, 9300, 9380, 9480, 9600, 9796, 9875, 9920, 10050, 10112, 10385, 10416, 10500, 10586, 10720, 10850, 11060, 11200, 11256, 11625, 11725, 11850, 11904, 12000, 12245, 12400, 12462, 12640, 12864, 13020, 13272, 13400, 13440, 13825, 13888, 14000, 14070, 14539, 14694, 14880, 15008, 15168, 15500, 15800, 15879, 16000, 16080, 16275, 16590, 16616, 16750, 16800, 17143, 17360, 17696, 18600, 18760, 18960, 19592, 19750, 19840, 20100, 20770, 20832, 21000, 21172, 21440, 21700, 22120, 22400, 22512, 23250, 23450, 23700, 24000, 24490, 24800, 24924, 25125, 25280, 25728, 26040, 26465, 26544, 26800, 27125, 27650, 27776, 28000, 28140, 29078, 29388, 29625, 29760, 30016, 30336, 31000, 31155, 31600, 31758, 32160, 32550, 33180, 33232, 33500, 33600, 34286, 34720, 35175, 35392, 36735, 37051, 37200, 37520, 37920, 39184, 39500, 40200, 41475, 41540, 41664, 42000, 42344, 42880, 43400, 43617, 44240, 45024, 46500, 46900, 47400, 48000, 48980, 49600, 49848, 50250, 50560, 51429, 51925, 52080, 52930, 53088, 53600, 54250, 55300, 56000, 56280, 58156, 58625, 58776, 59250, 59520, 60032, 61225, 62000, 62310, 63200, 63516, 64320, 65100, 66360, 66464, 67000, 67200, 68572, 69125, 69440, 70350, 70784, 72695, 73470, 74102, 74400, 75040, 75840, 78368, 79000, 79395, 80400, 81375, 82950, 83080, 83328, 84000, 84688, 85715, 86800, 87234, 88480, 90048, 93000, 93800, 94800, 97960, 99200, 99696, 100500, 102858, 103850, 104160, 105860, 106176, 107200, 108500, 110600, 111153, 112000, 112560, 116312, 117250, 117552, 118500, 122450, 124000, 124620, 126400, 127032, 128640, 130200, 132325, 132720, 132928, 134000, 137144, 138250, 138880, 140700, 145390, 146940, 148204, 148800, 150080, 151680, 155775, 156736, 158000, 158790, 160800, 162750, 164083, 165900, 166160, 168000, 169376, 171430, 173600, 174468, 175875, 176960, 180096, 183675, 185255, 186000, 187600, 189600, 195920, 199392, 201000, 205716, 207375, 207700, 208320, 211720, 212352, 214400, 217000, 218085, 221200, 222306, 225120, 232624, 234500, 235104, 237000, 244900, 248000, 249240, 252800, 254064, 257145, 259625, 260400, 264650, 265440, 265856, 268000, 274288, 276500, 281400, 290780, 293880, 296408, 297600, 300160, 306125, 311550, 313472, 316000, 317580, 321600, 325500, 328166, 331800, 332320, 336000, 338752, 342860, 347200, 348936, 351750, 353920, 363475, 367350, 370510, 372000, 375200, 379200, 391840, 396975, 398784, 402000, 411432, 414750, 415400, 416640, 423440, 428575, 434000, 436170, 442400, 444612, 450240, 465248, 469000, 470208, 474000, 489800, 492249, 496000, 498480, 508128, 514290, 519250, 520800, 529300, 530880, 536000, 548576, 553000, 555765, 562800, 581560, 587760, 592816, 612250, 623100, 632000, 635160, 643200, 651000, 656332, 661625, 663600, 664640, 677504, 685720, 694400, 697872, 703500, 726950, 734700, 741020, 744000, 750400, 758400, 778875, 783680, 793950, 797568, 804000, 820415, 822864, 829500, 830800, 846880, 857150, 868000, 872340, 884800, 889224, 900480, 918375, 926275, 930496, 938000, 940416, 948000, 979600, 984498, 996960, 1016256, 1028580, 1038500, 1041600, 1058600, 1061760, 1072000, 1090425, 1097152, 1106000, 1111530, 1125600, 1148581, 1163120, 1175520, 1185632, 1224500, 1246200, 1264000, 1270320, 1285725, 1302000, 1312664, 1323250, 1327200, 1329280, 1371440, 1395744, 1407000, 1453900, 1469400, 1482040, 1488000, 1500800, 1557750, 1567360, 1587900, 1608000, 1640830, 1645728, 1659000, 1661600, 1693760, 1714300, 1736000, 1744680, 1769600, 1778448, 1817375, 1836750, 1852550, 1860992, 1876000, 1896000, 1959200, 1968996, 1984875, 1993920, 2032512, 2057160, 2077000, 2083200, 2117200, 2142875, 2180850, 2194304, 2212000, 2223060, 2251200, 2297162, 2326240, 2351040, 2371264, 2449000, 2461245, 2492400, 2540640, 2571450, 2604000, 2625328, 2646500, 2654400, 2742880, 2778825, 2791488, 2814000, 2907800, 2938800, 2964080, 3115500, 3175800, 3216000, 3281660, 3291456, 3318000, 3323200, 3387520, 3428600, 3445743, 3472000, 3489360, 3556896, 3634750, 3673500, 3705100, 3752000, 3792000, 3918400, 3937992, 3969750, 3987840, 4102075, 4114320, 4154000, 4234400, 4285750, 4361700, 4424000, 4446120, 4502400, 4594324, 4631375, 4652480, 4702080, 4742528, 4898000, 4922490, 4984800, 5081280, 5142900, 5208000, 5250656, 5293000, 5308800, 5452125, 5485760, 5557650, 5582976, 5628000, 5742905, 5815600, 5877600, 5928160, 6231000, 6351600, 6428625, 6563320, 6582912, 6636000, 6646400, 6857200, 6891486, 6978720, 7113792, 7269500, 7347000, 7410200, 7504000, 7836800, 7875984, 7939500, 8204150, 8228640, 8308000, 8468800, 8571500, 8723400, 8848000, 8892240, 9188648, 9262750, 9304960, 9796000, 9844980, 9969600, 10162560, 10285800, 10416000, 10501312, 10586000, 10904250, 10971520, 11115300, 11256000, 11485810, 11631200, 11755200, 11856320, 12306225, 12462000, 12703200, 12857250, 13126640, 13272000, 13714400, 13782972, 13894125, 13957440, 14227584, 14539000, 14694000, 14820400, 15751968, 15879000, 16408300, 16457280, 16616000, 16937600, 17143000, 17228715, 17446800, 17784480, 18377296, 18525500, 19592000, 19689960, 19939200, 20510375, 20571600, 21002624, 21172000, 21808500, 22230600, 22512000, 22971620, 23262400, 23510400, 23712640, 24612450, 24924000, 25406400, 25714500, 26253280, 26544000, 27428800, 27565944, 27788250, 27914880, 28714525, 29078000, 29388000, 29640800, 31503936, 31758000, 32816600, 32914560, 33232000, 34286000, 34457430, 34893600, 35568960, 36754592, 37051000, 39184000, 39379920, 41020750, 41143200, 42344000, 43617000, 44461200, 45943240, 46524800, 49224900, 49848000, 50812800, 51429000, 52506560, 54857600, 55131888, 55576500, 57429050, 58156000, 58776000, 59281600, 61531125, 63007872, 63516000, 65633200, 68572000, 68914860, 69787200, 71137920, 73509184, 74102000, 78759840, 82041500, 82286400, 84688000, 86143575, 87234000, 88922400, 91886480, 98449800, 99696000, 102858000, 105013120, 110263776, 111153000, 114858100, 116312000, 117552000, 118563200, 123062250, 127032000, 131266400, 137144000, 137829720, 139574400, 143572625, 147018368, 148204000, 157519680, 164083000, 164572800, 172287150, 174468000, 177844800, 183772960, 196899600, 205716000, 220527552, 222306000, 229716200, 232624000, 246124500, 254064000, 262532800, 274288000, 275659440, 287145250, 296408000, 315039360, 328166000, 344574300, 348936000, 355689600, 367545920, 393799200, 411432000, 430717875, 441055104, 444612000, 459432400, 492249000, 525065600, 551318880, 574290500, 592816000, 656332000, 689148600, 697872000, 735091840, 787598400, 822864000, 861435750, 889224000, 918864800, 984498000, 1102637760, 1148581000, 1312664000, 1378297200, 1575196800, 1722871500, 1778448000, 1837729600, 1968996000, 2205275520, 2297162000, 2625328000, 2756594400, 3445743000, 3675459200, 3937992000, 4594324000, 5513188800, 6891486000, 7875984000, 9188648000, 11026377600, 13782972000, 18377296000, 27565944000, 55131888000]

約数ペア:

[(1, 55131888000), (2, 27565944000), (3, 18377296000), (4, 13782972000), (5, 11026377600), (6, 9188648000), (7, 7875984000), (8, 6891486000), (10, 5513188800), (12, 4594324000), (14, 3937992000), (15, 3675459200), (16, 3445743000), (20, 2756594400), (21, 2625328000), (24, 2297162000), (25, 2205275520), (28, 1968996000), (30, 1837729600), (31, 1778448000), (32, 1722871500), (35, 1575196800), (40, 1378297200), (42, 1312664000), (48, 1148581000), (50, 1102637760), (56, 984498000), (60, 918864800), (62, 889224000), (64, 861435750), (67, 822864000), (70, 787598400), (75, 735091840), (79, 697872000), (80, 689148600), (84, 656332000), (93, 592816000), (96, 574290500), (100, 551318880), (105, 525065600), (112, 492249000), (120, 459432400), (124, 444612000), (125, 441055104), (128, 430717875), (134, 411432000), (140, 393799200), (150, 367545920), (155, 355689600), (158, 348936000), (160, 344574300), (168, 328166000), (175, 315039360), (186, 296408000), (192, 287145250), (200, 275659440), (201, 274288000), (210, 262532800), (217, 254064000), (224, 246124500), (237, 232624000), (240, 229716200), (248, 222306000), (250, 220527552), (268, 205716000), (280, 196899600), (300, 183772960), (310, 177844800), (316, 174468000), (320, 172287150), (335, 164572800), (336, 164083000), (350, 157519680), (372, 148204000), (375, 147018368), (384, 143572625), (395, 139574400), (400, 137829720), (402, 137144000), (420, 131266400), (434, 127032000), (448, 123062250), (465, 118563200), (469, 117552000), (474, 116312000), (480, 114858100), (496, 111153000), (500, 110263776), (525, 105013120), (536, 102858000), (553, 99696000), (560, 98449800), (600, 91886480), (620, 88922400), (632, 87234000), (640, 86143575), (651, 84688000), (670, 82286400), (672, 82041500), (700, 78759840), (744, 74102000), (750, 73509184), (775, 71137920), (790, 69787200), (800, 68914860), (804, 68572000), (840, 65633200), (868, 63516000), (875, 63007872), (896, 61531125), (930, 59281600), (938, 58776000), (948, 58156000), (960, 57429050), (992, 55576500), (1000, 55131888), (1005, 54857600), (1050, 52506560), (1072, 51429000), (1085, 50812800), (1106, 49848000), (1120, 49224900), (1185, 46524800), (1200, 45943240), (1240, 44461200), (1264, 43617000), (1302, 42344000), (1340, 41143200), (1344, 41020750), (1400, 39379920), (1407, 39184000), (1488, 37051000), (1500, 36754592), (1550, 35568960), (1580, 34893600), (1600, 34457430), (1608, 34286000), (1659, 33232000), (1675, 32914560), (1680, 32816600), (1736, 31758000), (1750, 31503936), (1860, 29640800), (1876, 29388000), (1896, 29078000), (1920, 28714525), (1975, 27914880), (1984, 27788250), (2000, 27565944), (2010, 27428800), (2077, 26544000), (2100, 26253280), (2144, 25714500), (2170, 25406400), (2212, 24924000), (2240, 24612450), (2325, 23712640), (2345, 23510400), (2370, 23262400), (2400, 22971620), (2449, 22512000), (2480, 22230600), (2528, 21808500), (2604, 21172000), (2625, 21002624), (2680, 20571600), (2688, 20510375), (2765, 19939200), (2800, 19689960), (2814, 19592000), (2976, 18525500), (3000, 18377296), (3100, 17784480), (3160, 17446800), (3200, 17228715), (3216, 17143000), (3255, 16937600), (3318, 16616000), (3350, 16457280), (3360, 16408300), (3472, 15879000), (3500, 15751968), (3720, 14820400), (3752, 14694000), (3792, 14539000), (3875, 14227584), (3950, 13957440), (3968, 13894125), (4000, 13782972), (4020, 13714400), (4154, 13272000), (4200, 13126640), (4288, 12857250), (4340, 12703200), (4424, 12462000), (4480, 12306225), (4650, 11856320), (4690, 11755200), (4740, 11631200), (4800, 11485810), (4898, 11256000), (4960, 11115300), (5025, 10971520), (5056, 10904250), (5208, 10586000), (5250, 10501312), (5293, 10416000), (5360, 10285800), (5425, 10162560), (5530, 9969600), (5600, 9844980), (5628, 9796000), (5925, 9304960), (5952, 9262750), (6000, 9188648), (6200, 8892240), (6231, 8848000), (6320, 8723400), (6432, 8571500), (6510, 8468800), (6636, 8308000), (6700, 8228640), (6720, 8204150), (6944, 7939500), (7000, 7875984), (7035, 7836800), (7347, 7504000), (7440, 7410200), (7504, 7347000), (7584, 7269500), (7750, 7113792), (7900, 6978720), (8000, 6891486), (8040, 6857200), (8295, 6646400), (8308, 6636000), (8375, 6582912), (8400, 6563320), (8576, 6428625), (8680, 6351600), (8848, 6231000), (9300, 5928160), (9380, 5877600), (9480, 5815600), (9600, 5742905), (9796, 5628000), (9875, 5582976), (9920, 5557650), (10050, 5485760), (10112, 5452125), (10385, 5308800), (10416, 5293000), (10500, 5250656), (10586, 5208000), (10720, 5142900), (10850, 5081280), (11060, 4984800), (11200, 4922490), (11256, 4898000), (11625, 4742528), (11725, 4702080), (11850, 4652480), (11904, 4631375), (12000, 4594324), (12245, 4502400), (12400, 4446120), (12462, 4424000), (12640, 4361700), (12864, 4285750), (13020, 4234400), (13272, 4154000), (13400, 4114320), (13440, 4102075), (13825, 3987840), (13888, 3969750), (14000, 3937992), (14070, 3918400), (14539, 3792000), (14694, 3752000), (14880, 3705100), (15008, 3673500), (15168, 3634750), (15500, 3556896), (15800, 3489360), (15879, 3472000), (16000, 3445743), (16080, 3428600), (16275, 3387520), (16590, 3323200), (16616, 3318000), (16750, 3291456), (16800, 3281660), (17143, 3216000), (17360, 3175800), (17696, 3115500), (18600, 2964080), (18760, 2938800), (18960, 2907800), (19592, 2814000), (19750, 2791488), (19840, 2778825), (20100, 2742880), (20770, 2654400), (20832, 2646500), (21000, 2625328), (21172, 2604000), (21440, 2571450), (21700, 2540640), (22120, 2492400), (22400, 2461245), (22512, 2449000), (23250, 2371264), (23450, 2351040), (23700, 2326240), (24000, 2297162), (24490, 2251200), (24800, 2223060), (24924, 2212000), (25125, 2194304), (25280, 2180850), (25728, 2142875), (26040, 2117200), (26465, 2083200), (26544, 2077000), (26800, 2057160), (27125, 2032512), (27650, 1993920), (27776, 1984875), (28000, 1968996), (28140, 1959200), (29078, 1896000), (29388, 1876000), (29625, 1860992), (29760, 1852550), (30016, 1836750), (30336, 1817375), (31000, 1778448), (31155, 1769600), (31600, 1744680), (31758, 1736000), (32160, 1714300), (32550, 1693760), (33180, 1661600), (33232, 1659000), (33500, 1645728), (33600, 1640830), (34286, 1608000), (34720, 1587900), (35175, 1567360), (35392, 1557750), (36735, 1500800), (37051, 1488000), (37200, 1482040), (37520, 1469400), (37920, 1453900), (39184, 1407000), (39500, 1395744), (40200, 1371440), (41475, 1329280), (41540, 1327200), (41664, 1323250), (42000, 1312664), (42344, 1302000), (42880, 1285725), (43400, 1270320), (43617, 1264000), (44240, 1246200), (45024, 1224500), (46500, 1185632), (46900, 1175520), (47400, 1163120), (48000, 1148581), (48980, 1125600), (49600, 1111530), (49848, 1106000), (50250, 1097152), (50560, 1090425), (51429, 1072000), (51925, 1061760), (52080, 1058600), (52930, 1041600), (53088, 1038500), (53600, 1028580), (54250, 1016256), (55300, 996960), (56000, 984498), (56280, 979600), (58156, 948000), (58625, 940416), (58776, 938000), (59250, 930496), (59520, 926275), (60032, 918375), (61225, 900480), (62000, 889224), (62310, 884800), (63200, 872340), (63516, 868000), (64320, 857150), (65100, 846880), (66360, 830800), (66464, 829500), (67000, 822864), (67200, 820415), (68572, 804000), (69125, 797568), (69440, 793950), (70350, 783680), (70784, 778875), (72695, 758400), (73470, 750400), (74102, 744000), (74400, 741020), (75040, 734700), (75840, 726950), (78368, 703500), (79000, 697872), (79395, 694400), (80400, 685720), (81375, 677504), (82950, 664640), (83080, 663600), (83328, 661625), (84000, 656332), (84688, 651000), (85715, 643200), (86800, 635160), (87234, 632000), (88480, 623100), (90048, 612250), (93000, 592816), (93800, 587760), (94800, 581560), (97960, 562800), (99200, 555765), (99696, 553000), (100500, 548576), (102858, 536000), (103850, 530880), (104160, 529300), (105860, 520800), (106176, 519250), (107200, 514290), (108500, 508128), (110600, 498480), (111153, 496000), (112000, 492249), (112560, 489800), (116312, 474000), (117250, 470208), (117552, 469000), (118500, 465248), (122450, 450240), (124000, 444612), (124620, 442400), (126400, 436170), (127032, 434000), (128640, 428575), (130200, 423440), (132325, 416640), (132720, 415400), (132928, 414750), (134000, 411432), (137144, 402000), (138250, 398784), (138880, 396975), (140700, 391840), (145390, 379200), (146940, 375200), (148204, 372000), (148800, 370510), (150080, 367350), (151680, 363475), (155775, 353920), (156736, 351750), (158000, 348936), (158790, 347200), (160800, 342860), (162750, 338752), (164083, 336000), (165900, 332320), (166160, 331800), (168000, 328166), (169376, 325500), (171430, 321600), (173600, 317580), (174468, 316000), (175875, 313472), (176960, 311550), (180096, 306125), (183675, 300160), (185255, 297600), (186000, 296408), (187600, 293880), (189600, 290780), (195920, 281400), (199392, 276500), (201000, 274288), (205716, 268000), (207375, 265856), (207700, 265440), (208320, 264650), (211720, 260400), (212352, 259625), (214400, 257145), (217000, 254064), (218085, 252800), (221200, 249240), (222306, 248000), (225120, 244900), (232624, 237000), (234500, 235104)]