131531004000

素因数分解:

$2^5\times 3^2\times 5^3\times {\mathrm{11}}^1\times {\mathrm{37}}^1\times {\mathrm{47}}^1\times {\mathrm{191}}^1$

素因数の和:317

約数の個数: 1152

約数和(自身を含む): 536927698944

約数和(自身を除く): 405396694944

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 25, 30, 32, 33, 36, 37, 40, 44, 45, 47, 48, 50, 55, 60, 66, 72, 74, 75, 80, 88, 90, 94, 96, 99, 100, 110, 111, 120, 125, 132, 141, 144, 148, 150, 160, 165, 176, 180, 185, 188, 191, 198, 200, 220, 222, 225, 235, 240, 250, 264, 275, 282, 288, 296, 300, 330, 333, 352, 360, 370, 375, 376, 382, 396, 400, 407, 423, 440, 444, 450, 470, 480, 495, 500, 517, 528, 550, 555, 564, 573, 592, 600, 660, 666, 705, 720, 740, 750, 752, 764, 792, 800, 814, 825, 846, 880, 888, 900, 925, 940, 955, 990, 1000, 1034, 1056, 1100, 1110, 1125, 1128, 1146, 1175, 1184, 1200, 1221, 1320, 1332, 1375, 1410, 1440, 1480, 1500, 1504, 1528, 1551, 1584, 1628, 1650, 1665, 1692, 1719, 1739, 1760, 1776, 1800, 1850, 1880, 1910, 1980, 2000, 2035, 2068, 2101, 2115, 2200, 2220, 2250, 2256, 2292, 2350, 2400, 2442, 2475, 2585, 2640, 2664, 2750, 2775, 2820, 2865, 2960, 3000, 3056, 3102, 3168, 3256, 3300, 3330, 3384, 3438, 3478, 3525, 3552, 3600, 3663, 3700, 3760, 3820, 3960, 4000, 4070, 4125, 4136, 4202, 4230, 4400, 4440, 4500, 4512, 4584, 4625, 4653, 4700, 4775, 4884, 4950, 5170, 5217, 5280, 5328, 5500, 5550, 5640, 5730, 5875, 5920, 6000, 6105, 6112, 6204, 6303, 6512, 6600, 6660, 6768, 6876, 6956, 7050, 7067, 7200, 7326, 7400, 7520, 7640, 7755, 7920, 8140, 8250, 8272, 8325, 8404, 8460, 8595, 8695, 8800, 8880, 8977, 9000, 9168, 9250, 9306, 9400, 9550, 9768, 9900, 10175, 10340, 10434, 10505, 10575, 10656, 11000, 11100, 11280, 11460, 11750, 12000, 12210, 12375, 12408, 12606, 12925, 13024, 13200, 13320, 13536, 13752, 13875, 13912, 14100, 14134, 14325, 14652, 14800, 15280, 15510, 15651, 15840, 16280, 16500, 16544, 16650, 16808, 16920, 17190, 17390, 17625, 17760, 17954, 18000, 18315, 18336, 18500, 18612, 18800, 18909, 19100, 19129, 19536, 19800, 20350, 20680, 20868, 21010, 21150, 21201, 22000, 22200, 22560, 22920, 23265, 23500, 23875, 24420, 24750, 24816, 25212, 25850, 26085, 26400, 26640, 26931, 27504, 27750, 27824, 28200, 28268, 28650, 29304, 29600, 30525, 30560, 31020, 31302, 31515, 32560, 33000, 33300, 33616, 33840, 34380, 34780, 35250, 35335, 35908, 36000, 36630, 37000, 37224, 37600, 37818, 38200, 38258, 38775, 39072, 39600, 40700, 41360, 41625, 41736, 42020, 42300, 42402, 42975, 43475, 44000, 44400, 44885, 45840, 46530, 47000, 47750, 48840, 49500, 49632, 50424, 50875, 51700, 52170, 52525, 52875, 53280, 53862, 55008, 55500, 55648, 56400, 56536, 57300, 57387, 58608, 61050, 62040, 62604, 63030, 63603, 64625, 65120, 66000, 66600, 67232, 67680, 68760, 69560, 70500, 70670, 71625, 71816, 73260, 74000, 74448, 75636, 76400, 76516, 77550, 77737, 78255, 79200, 80793, 81400, 82720, 83250, 83472, 84040, 84600, 84804, 85950, 86950, 88800, 89770, 91575, 91680, 93060, 94000, 94545, 95500, 95645, 97680, 98747, 99000, 100848, 101750, 103400, 104340, 105050, 105750, 106005, 107724, 111000, 112800, 113072, 114600, 114774, 116325, 117216, 122100, 124080, 125208, 126060, 127206, 129250, 130425, 132000, 133200, 134655, 137520, 139120, 141000, 141340, 143250, 143632, 146520, 148000, 148896, 151272, 152625, 152800, 153032, 155100, 155474, 156510, 157575, 161586, 162800, 166500, 166944, 168080, 169200, 169608, 171900, 172161, 173900, 176675, 179540, 183150, 186120, 188000, 189090, 191000, 191290, 193875, 195360, 197494, 198000, 201696, 203500, 206800, 208680, 210100, 211500, 212010, 214875, 215448, 217375, 222000, 224425, 226144, 229200, 229548, 232650, 233211, 244200, 248160, 250416, 252120, 254412, 258500, 260850, 262625, 266400, 269310, 275040, 278240, 282000, 282680, 286500, 286935, 287264, 293040, 296241, 302544, 305250, 306064, 310200, 310948, 313020, 315150, 318015, 323172, 325600, 332149, 333000, 336160, 338400, 339216, 343800, 344322, 347800, 353350, 359080, 366300, 372240, 378180, 382000, 382580, 387750, 388685, 391275, 394988, 396000, 403965, 407000, 413600, 417360, 420200, 423000, 424020, 429750, 430896, 434750, 444000, 448850, 457875, 458400, 459096, 465300, 466422, 472725, 478225, 488400, 493735, 500832, 504240, 508824, 517000, 521700, 525250, 530025, 538620, 564000, 565360, 573000, 573870, 581625, 586080, 592482, 605088, 610500, 612128, 620400, 621896, 626040, 630300, 636030, 646344, 652125, 664298, 666000, 673275, 678432, 687600, 688644, 695600, 699633, 706700, 718160, 732600, 744480, 756360, 764000, 765160, 775500, 777370, 782550, 787875, 789976, 807930, 814000, 834720, 840400, 846000, 848040, 859500, 860805, 861792, 869500, 883375, 888723, 897700, 915750, 918192, 930600, 932844, 945450, 956450, 976800, 987470, 996447, 1008480, 1017648, 1034000, 1043400, 1050500, 1060050, 1077240, 1122125, 1130720, 1146000, 1147740, 1163250, 1166055, 1184964, 1221000, 1240800, 1243792, 1252080, 1260600, 1272060, 1292688, 1304250, 1328596, 1332000, 1346550, 1375200, 1377288, 1391200, 1399266, 1413400, 1434675, 1436320, 1465200, 1481205, 1512720, 1530320, 1551000, 1554740, 1565100, 1575750, 1579952, 1590075, 1615860, 1628000, 1660745, 1680800, 1692000, 1696080, 1719000, 1721610, 1739000, 1766750, 1777446, 1795400, 1831500, 1836384, 1861200, 1865688, 1890900, 1912900, 1943425, 1956375, 1974940, 1992894, 2019825, 2035296, 2068000, 2086800, 2101000, 2120100, 2154480, 2244250, 2292000, 2295480, 2326500, 2332110, 2363625, 2369928, 2391125, 2442000, 2468675, 2487584, 2504160, 2521200, 2544120, 2585376, 2608500, 2650125, 2657192, 2693100, 2754576, 2798532, 2826800, 2869350, 2930400, 2962410, 2989341, 3025440, 3060640, 3102000, 3109480, 3130200, 3151500, 3159904, 3180150, 3231720, 3321490, 3366375, 3392160, 3438000, 3443220, 3478000, 3498165, 3533500, 3554892, 3590800, 3653639, 3663000, 3722400, 3731376, 3781800, 3825800, 3886850, 3912750, 3949880, 3985788, 4039650, 4173600, 4202000, 4240200, 4304025, 4308960, 4443615, 4488500, 4590960, 4653000, 4664220, 4727250, 4739856, 4782250, 4884000, 4937350, 4982235, 5042400, 5088240, 5217000, 5300250, 5314384, 5386200, 5509152, 5597064, 5653600, 5738700, 5830275, 5924820, 5978682, 6204000, 6218960, 6260400, 6303000, 6360300, 6463440, 6642980, 6732750, 6876000, 6886440, 6956000, 6996330, 7067000, 7109784, 7173375, 7181600, 7307278, 7326000, 7406025, 7462752, 7563600, 7651600, 7773700, 7825500, 7899760, 7950375, 7971576, 8079300, 8303725, 8404000, 8480400, 8608050, 8887230, 8977000, 9181920, 9306000, 9328440, 9454500, 9479712, 9564500, 9717125, 9874700, 9964470, 10099125, 10176480, 10434000, 10600500, 10628768, 10772400, 10960917, 11194128, 11477400, 11660550, 11849640, 11957364, 12343375, 12437920, 12520800, 12606000, 12720600, 12926880, 13285960, 13465500, 13772880, 13992660, 14134000, 14219568, 14346750, 14614556, 14652000, 14812050, 14946705, 15127200, 15303200, 15547400, 15651000, 15799520, 15900750, 15943152, 16158600, 16607450, 16960800, 17216100, 17490825, 17774460, 17954000, 18268195, 18612000, 18656880, 18909000, 19129000, 19434250, 19749400, 19928940, 20198250, 20868000, 21201000, 21520125, 21544800, 21921834, 22218075, 22388256, 22954800, 23321100, 23699280, 23914728, 24686750, 24911175, 25212000, 25441200, 26571920, 26931000, 27545760, 27985320, 28268000, 28439136, 28693500, 29151375, 29229112, 29624100, 29893410, 31094800, 31302000, 31801500, 31886304, 32317200, 32882751, 33214900, 34432200, 34981650, 35548920, 35908000, 36536390, 37030125, 37313760, 37818000, 38258000, 38868500, 39498800, 39857880, 40396500, 41518625, 42402000, 43040250, 43843668, 44436150, 45909600, 46642200, 47398560, 47829456, 49373500, 49822350, 50882400, 53143840, 53862000, 54804585, 55970640, 57387000, 58302750, 58458224, 59248200, 59786820, 62189600, 62604000, 63603000, 64634400, 65765502, 66429800, 68864400, 69963300, 71097840, 73072780, 74060250, 74733525, 75636000, 76516000, 77737000, 78997600, 79715760, 80793000, 83037250, 84804000, 86080500, 87454125, 87687336, 88872300, 91340975, 93284400, 95658912, 98747000, 99644700, 107724000, 109609170, 111090375, 111941280, 114774000, 116605500, 116916448, 118496400, 119573640, 124555875, 127206000, 131531004, 132859600, 137728800, 139926600, 142195680, 146145560, 148120500, 149467050, 155474000, 159431520, 161586000, 164413755, 166074500, 172161000, 174908250, 175374672, 177744600, 182681950, 186568800, 197494000, 199289400, 219218340, 222180750, 229548000, 233211000, 236992800, 239147280, 249111750, 254412000, 263062008, 265719200, 274022925, 279853200, 292291120, 296241000, 298934100, 310948000, 323172000, 328827510, 332149000, 344322000, 349816500, 350749344, 355489200, 365363900, 373667625, 394988000, 398578800, 438436680, 444361500, 456704875, 466422000, 478294560, 498223500, 526124016, 548045850, 559706400, 584582240, 592482000, 597868200, 657655020, 664298000, 688644000, 699633000, 710978400, 730727800, 747335250, 797157600, 822068775, 876873360, 888723000, 913409750, 932844000, 996447000, 1052248032, 1096091700, 1184964000, 1195736400, 1315310040, 1328596000, 1370114625, 1399266000, 1461455600, 1494670500, 1644137550, 1753746720, 1777446000, 1826819500, 1992894000, 2192183400, 2391472800, 2630620080, 2740229250, 2798532000, 2922911200, 2989341000, 3288275100, 3554892000, 3653639000, 3985788000, 4110343875, 4384366800, 5261240160, 5480458500, 5978682000, 6576550200, 7307278000, 8220687750, 8768733600, 10960917000, 11957364000, 13153100400, 14614556000, 16441375500, 21921834000, 26306200800, 32882751000, 43843668000, 65765502000, 131531004000]

約数ペア:

[(1, 131531004000), (2, 65765502000), (3, 43843668000), (4, 32882751000), (5, 26306200800), (6, 21921834000), (8, 16441375500), (9, 14614556000), (10, 13153100400), (11, 11957364000), (12, 10960917000), (15, 8768733600), (16, 8220687750), (18, 7307278000), (20, 6576550200), (22, 5978682000), (24, 5480458500), (25, 5261240160), (30, 4384366800), (32, 4110343875), (33, 3985788000), (36, 3653639000), (37, 3554892000), (40, 3288275100), (44, 2989341000), (45, 2922911200), (47, 2798532000), (48, 2740229250), (50, 2630620080), (55, 2391472800), (60, 2192183400), (66, 1992894000), (72, 1826819500), (74, 1777446000), (75, 1753746720), (80, 1644137550), (88, 1494670500), (90, 1461455600), (94, 1399266000), (96, 1370114625), (99, 1328596000), (100, 1315310040), (110, 1195736400), (111, 1184964000), (120, 1096091700), (125, 1052248032), (132, 996447000), (141, 932844000), (144, 913409750), (148, 888723000), (150, 876873360), (160, 822068775), (165, 797157600), (176, 747335250), (180, 730727800), (185, 710978400), (188, 699633000), (191, 688644000), (198, 664298000), (200, 657655020), (220, 597868200), (222, 592482000), (225, 584582240), (235, 559706400), (240, 548045850), (250, 526124016), (264, 498223500), (275, 478294560), (282, 466422000), (288, 456704875), (296, 444361500), (300, 438436680), (330, 398578800), (333, 394988000), (352, 373667625), (360, 365363900), (370, 355489200), (375, 350749344), (376, 349816500), (382, 344322000), (396, 332149000), (400, 328827510), (407, 323172000), (423, 310948000), (440, 298934100), (444, 296241000), (450, 292291120), (470, 279853200), (480, 274022925), (495, 265719200), (500, 263062008), (517, 254412000), (528, 249111750), (550, 239147280), (555, 236992800), (564, 233211000), (573, 229548000), (592, 222180750), (600, 219218340), (660, 199289400), (666, 197494000), (705, 186568800), (720, 182681950), (740, 177744600), (750, 175374672), (752, 174908250), (764, 172161000), (792, 166074500), (800, 164413755), (814, 161586000), (825, 159431520), (846, 155474000), (880, 149467050), (888, 148120500), (900, 146145560), (925, 142195680), (940, 139926600), (955, 137728800), (990, 132859600), (1000, 131531004), (1034, 127206000), (1056, 124555875), (1100, 119573640), (1110, 118496400), (1125, 116916448), (1128, 116605500), (1146, 114774000), (1175, 111941280), (1184, 111090375), (1200, 109609170), (1221, 107724000), (1320, 99644700), (1332, 98747000), (1375, 95658912), (1410, 93284400), (1440, 91340975), (1480, 88872300), (1500, 87687336), (1504, 87454125), (1528, 86080500), (1551, 84804000), (1584, 83037250), (1628, 80793000), (1650, 79715760), (1665, 78997600), (1692, 77737000), (1719, 76516000), (1739, 75636000), (1760, 74733525), (1776, 74060250), (1800, 73072780), (1850, 71097840), (1880, 69963300), (1910, 68864400), (1980, 66429800), (2000, 65765502), (2035, 64634400), (2068, 63603000), (2101, 62604000), (2115, 62189600), (2200, 59786820), (2220, 59248200), (2250, 58458224), (2256, 58302750), (2292, 57387000), (2350, 55970640), (2400, 54804585), (2442, 53862000), (2475, 53143840), (2585, 50882400), (2640, 49822350), (2664, 49373500), (2750, 47829456), (2775, 47398560), (2820, 46642200), (2865, 45909600), (2960, 44436150), (3000, 43843668), (3056, 43040250), (3102, 42402000), (3168, 41518625), (3256, 40396500), (3300, 39857880), (3330, 39498800), (3384, 38868500), (3438, 38258000), (3478, 37818000), (3525, 37313760), (3552, 37030125), (3600, 36536390), (3663, 35908000), (3700, 35548920), (3760, 34981650), (3820, 34432200), (3960, 33214900), (4000, 32882751), (4070, 32317200), (4125, 31886304), (4136, 31801500), (4202, 31302000), (4230, 31094800), (4400, 29893410), (4440, 29624100), (4500, 29229112), (4512, 29151375), (4584, 28693500), (4625, 28439136), (4653, 28268000), (4700, 27985320), (4775, 27545760), (4884, 26931000), (4950, 26571920), (5170, 25441200), (5217, 25212000), (5280, 24911175), (5328, 24686750), (5500, 23914728), (5550, 23699280), (5640, 23321100), (5730, 22954800), (5875, 22388256), (5920, 22218075), (6000, 21921834), (6105, 21544800), (6112, 21520125), (6204, 21201000), (6303, 20868000), (6512, 20198250), (6600, 19928940), (6660, 19749400), (6768, 19434250), (6876, 19129000), (6956, 18909000), (7050, 18656880), (7067, 18612000), (7200, 18268195), (7326, 17954000), (7400, 17774460), (7520, 17490825), (7640, 17216100), (7755, 16960800), (7920, 16607450), (8140, 16158600), (8250, 15943152), (8272, 15900750), (8325, 15799520), (8404, 15651000), (8460, 15547400), (8595, 15303200), (8695, 15127200), (8800, 14946705), (8880, 14812050), (8977, 14652000), (9000, 14614556), (9168, 14346750), (9250, 14219568), (9306, 14134000), (9400, 13992660), (9550, 13772880), (9768, 13465500), (9900, 13285960), (10175, 12926880), (10340, 12720600), (10434, 12606000), (10505, 12520800), (10575, 12437920), (10656, 12343375), (11000, 11957364), (11100, 11849640), (11280, 11660550), (11460, 11477400), (11750, 11194128), (12000, 10960917), (12210, 10772400), (12375, 10628768), (12408, 10600500), (12606, 10434000), (12925, 10176480), (13024, 10099125), (13200, 9964470), (13320, 9874700), (13536, 9717125), (13752, 9564500), (13875, 9479712), (13912, 9454500), (14100, 9328440), (14134, 9306000), (14325, 9181920), (14652, 8977000), (14800, 8887230), (15280, 8608050), (15510, 8480400), (15651, 8404000), (15840, 8303725), (16280, 8079300), (16500, 7971576), (16544, 7950375), (16650, 7899760), (16808, 7825500), (16920, 7773700), (17190, 7651600), (17390, 7563600), (17625, 7462752), (17760, 7406025), (17954, 7326000), (18000, 7307278), (18315, 7181600), (18336, 7173375), (18500, 7109784), (18612, 7067000), (18800, 6996330), (18909, 6956000), (19100, 6886440), (19129, 6876000), (19536, 6732750), (19800, 6642980), (20350, 6463440), (20680, 6360300), (20868, 6303000), (21010, 6260400), (21150, 6218960), (21201, 6204000), (22000, 5978682), (22200, 5924820), (22560, 5830275), (22920, 5738700), (23265, 5653600), (23500, 5597064), (23875, 5509152), (24420, 5386200), (24750, 5314384), (24816, 5300250), (25212, 5217000), (25850, 5088240), (26085, 5042400), (26400, 4982235), (26640, 4937350), (26931, 4884000), (27504, 4782250), (27750, 4739856), (27824, 4727250), (28200, 4664220), (28268, 4653000), (28650, 4590960), (29304, 4488500), (29600, 4443615), (30525, 4308960), (30560, 4304025), (31020, 4240200), (31302, 4202000), (31515, 4173600), (32560, 4039650), (33000, 3985788), (33300, 3949880), (33616, 3912750), (33840, 3886850), (34380, 3825800), (34780, 3781800), (35250, 3731376), (35335, 3722400), (35908, 3663000), (36000, 3653639), (36630, 3590800), (37000, 3554892), (37224, 3533500), (37600, 3498165), (37818, 3478000), (38200, 3443220), (38258, 3438000), (38775, 3392160), (39072, 3366375), (39600, 3321490), (40700, 3231720), (41360, 3180150), (41625, 3159904), (41736, 3151500), (42020, 3130200), (42300, 3109480), (42402, 3102000), (42975, 3060640), (43475, 3025440), (44000, 2989341), (44400, 2962410), (44885, 2930400), (45840, 2869350), (46530, 2826800), (47000, 2798532), (47750, 2754576), (48840, 2693100), (49500, 2657192), (49632, 2650125), (50424, 2608500), (50875, 2585376), (51700, 2544120), (52170, 2521200), (52525, 2504160), (52875, 2487584), (53280, 2468675), (53862, 2442000), (55008, 2391125), (55500, 2369928), (55648, 2363625), (56400, 2332110), (56536, 2326500), (57300, 2295480), (57387, 2292000), (58608, 2244250), (61050, 2154480), (62040, 2120100), (62604, 2101000), (63030, 2086800), (63603, 2068000), (64625, 2035296), (65120, 2019825), (66000, 1992894), (66600, 1974940), (67232, 1956375), (67680, 1943425), (68760, 1912900), (69560, 1890900), (70500, 1865688), (70670, 1861200), (71625, 1836384), (71816, 1831500), (73260, 1795400), (74000, 1777446), (74448, 1766750), (75636, 1739000), (76400, 1721610), (76516, 1719000), (77550, 1696080), (77737, 1692000), (78255, 1680800), (79200, 1660745), (80793, 1628000), (81400, 1615860), (82720, 1590075), (83250, 1579952), (83472, 1575750), (84040, 1565100), (84600, 1554740), (84804, 1551000), (85950, 1530320), (86950, 1512720), (88800, 1481205), (89770, 1465200), (91575, 1436320), (91680, 1434675), (93060, 1413400), (94000, 1399266), (94545, 1391200), (95500, 1377288), (95645, 1375200), (97680, 1346550), (98747, 1332000), (99000, 1328596), (100848, 1304250), (101750, 1292688), (103400, 1272060), (104340, 1260600), (105050, 1252080), (105750, 1243792), (106005, 1240800), (107724, 1221000), (111000, 1184964), (112800, 1166055), (113072, 1163250), (114600, 1147740), (114774, 1146000), (116325, 1130720), (117216, 1122125), (122100, 1077240), (124080, 1060050), (125208, 1050500), (126060, 1043400), (127206, 1034000), (129250, 1017648), (130425, 1008480), (132000, 996447), (133200, 987470), (134655, 976800), (137520, 956450), (139120, 945450), (141000, 932844), (141340, 930600), (143250, 918192), (143632, 915750), (146520, 897700), (148000, 888723), (148896, 883375), (151272, 869500), (152625, 861792), (152800, 860805), (153032, 859500), (155100, 848040), (155474, 846000), (156510, 840400), (157575, 834720), (161586, 814000), (162800, 807930), (166500, 789976), (166944, 787875), (168080, 782550), (169200, 777370), (169608, 775500), (171900, 765160), (172161, 764000), (173900, 756360), (176675, 744480), (179540, 732600), (183150, 718160), (186120, 706700), (188000, 699633), (189090, 695600), (191000, 688644), (191290, 687600), (193875, 678432), (195360, 673275), (197494, 666000), (198000, 664298), (201696, 652125), (203500, 646344), (206800, 636030), (208680, 630300), (210100, 626040), (211500, 621896), (212010, 620400), (214875, 612128), (215448, 610500), (217375, 605088), (222000, 592482), (224425, 586080), (226144, 581625), (229200, 573870), (229548, 573000), (232650, 565360), (233211, 564000), (244200, 538620), (248160, 530025), (250416, 525250), (252120, 521700), (254412, 517000), (258500, 508824), (260850, 504240), (262625, 500832), (266400, 493735), (269310, 488400), (275040, 478225), (278240, 472725), (282000, 466422), (282680, 465300), (286500, 459096), (286935, 458400), (287264, 457875), (293040, 448850), (296241, 444000), (302544, 434750), (305250, 430896), (306064, 429750), (310200, 424020), (310948, 423000), (313020, 420200), (315150, 417360), (318015, 413600), (323172, 407000), (325600, 403965), (332149, 396000), (333000, 394988), (336160, 391275), (338400, 388685), (339216, 387750), (343800, 382580), (344322, 382000), (347800, 378180), (353350, 372240), (359080, 366300)]