86423040000

素因数分解:

$2^{12}\times 3^2\times 5^4\times {\mathrm{11}}^2\times {\mathrm{31}}^1$

素因数の和:103

約数の個数: 1170

約数和(自身を含む): 353942677088

約数和(自身を除く): 267519637088

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 25, 30, 31, 32, 33, 36, 40, 44, 45, 48, 50, 55, 60, 62, 64, 66, 72, 75, 80, 88, 90, 93, 96, 99, 100, 110, 120, 121, 124, 125, 128, 132, 144, 150, 155, 160, 165, 176, 180, 186, 192, 198, 200, 220, 225, 240, 242, 248, 250, 256, 264, 275, 279, 288, 300, 310, 320, 330, 341, 352, 360, 363, 372, 375, 384, 396, 400, 440, 450, 465, 480, 484, 495, 496, 500, 512, 528, 550, 558, 576, 600, 605, 620, 625, 640, 660, 682, 704, 720, 726, 744, 750, 768, 775, 792, 800, 825, 880, 900, 930, 960, 968, 990, 992, 1000, 1023, 1024, 1056, 1089, 1100, 1116, 1125, 1152, 1200, 1210, 1240, 1250, 1280, 1320, 1364, 1375, 1395, 1408, 1440, 1452, 1488, 1500, 1536, 1550, 1584, 1600, 1650, 1705, 1760, 1800, 1815, 1860, 1875, 1920, 1936, 1980, 1984, 2000, 2046, 2048, 2112, 2178, 2200, 2232, 2250, 2304, 2325, 2400, 2420, 2475, 2480, 2500, 2560, 2640, 2728, 2750, 2790, 2816, 2880, 2904, 2976, 3000, 3025, 3069, 3072, 3100, 3168, 3200, 3300, 3410, 3520, 3600, 3630, 3720, 3750, 3751, 3840, 3872, 3875, 3960, 3968, 4000, 4092, 4096, 4125, 4224, 4356, 4400, 4464, 4500, 4608, 4650, 4800, 4840, 4950, 4960, 5000, 5115, 5120, 5280, 5445, 5456, 5500, 5580, 5625, 5632, 5760, 5808, 5952, 6000, 6050, 6138, 6144, 6200, 6336, 6400, 6600, 6820, 6875, 6975, 7040, 7200, 7260, 7440, 7500, 7502, 7680, 7744, 7750, 7920, 7936, 8000, 8184, 8250, 8448, 8525, 8712, 8800, 8928, 9000, 9075, 9216, 9300, 9600, 9680, 9900, 9920, 10000, 10230, 10240, 10560, 10890, 10912, 11000, 11160, 11250, 11253, 11264, 11520, 11616, 11625, 11904, 12000, 12100, 12276, 12288, 12375, 12400, 12672, 12800, 13200, 13640, 13750, 13950, 14080, 14400, 14520, 14880, 15000, 15004, 15125, 15345, 15360, 15488, 15500, 15840, 15872, 16000, 16368, 16500, 16896, 17050, 17424, 17600, 17856, 18000, 18150, 18432, 18600, 18755, 19200, 19360, 19375, 19800, 19840, 20000, 20460, 20480, 20625, 21120, 21780, 21824, 22000, 22320, 22500, 22506, 22528, 23040, 23232, 23250, 23808, 24000, 24200, 24552, 24750, 24800, 25344, 25575, 25600, 26400, 27225, 27280, 27500, 27900, 28160, 28800, 29040, 29760, 30000, 30008, 30250, 30690, 30720, 30976, 31000, 31680, 31744, 32000, 32736, 33000, 33759, 33792, 34100, 34848, 34875, 35200, 35712, 36000, 36300, 36864, 37200, 37510, 38400, 38720, 38750, 39600, 39680, 40000, 40920, 41250, 42240, 42625, 43560, 43648, 44000, 44640, 45000, 45012, 45056, 45375, 46080, 46464, 46500, 47616, 48000, 48400, 49104, 49500, 49600, 50688, 51150, 51200, 52800, 54450, 54560, 55000, 55800, 56265, 56320, 57600, 58080, 58125, 59520, 60000, 60016, 60500, 61380, 61440, 61875, 61952, 62000, 63360, 63488, 64000, 65472, 66000, 67518, 67584, 68200, 69696, 69750, 70400, 71424, 72000, 72600, 74400, 75020, 75625, 76725, 76800, 77440, 77500, 79200, 79360, 80000, 81840, 82500, 84480, 85250, 87120, 87296, 88000, 89280, 90000, 90024, 90750, 92160, 92928, 93000, 93775, 95232, 96000, 96800, 98208, 99000, 99200, 101376, 102300, 102400, 105600, 108900, 109120, 110000, 111600, 112530, 112640, 115200, 116160, 116250, 119040, 120000, 120032, 121000, 122760, 123750, 123904, 124000, 126720, 126976, 127875, 128000, 130944, 132000, 135036, 135168, 136125, 136400, 139392, 139500, 140800, 142848, 144000, 145200, 148800, 150040, 151250, 153450, 153600, 154880, 155000, 158400, 158720, 160000, 163680, 165000, 168795, 168960, 170500, 174240, 174375, 174592, 176000, 178560, 180000, 180048, 181500, 184320, 185856, 186000, 187550, 190464, 192000, 193600, 196416, 198000, 198400, 202752, 204600, 211200, 213125, 217800, 218240, 220000, 223200, 225060, 225280, 226875, 230400, 232320, 232500, 238080, 240000, 240064, 242000, 245520, 247500, 247808, 248000, 253440, 255750, 256000, 261888, 264000, 270072, 272250, 272800, 278784, 279000, 281325, 281600, 285696, 288000, 290400, 297600, 300080, 302500, 306900, 307200, 309760, 310000, 316800, 317440, 320000, 327360, 330000, 337590, 337920, 341000, 348480, 348750, 349184, 352000, 357120, 360000, 360096, 363000, 371712, 372000, 375100, 380928, 383625, 384000, 387200, 392832, 396000, 396800, 405504, 409200, 422400, 426250, 435600, 436480, 440000, 446400, 450120, 453750, 460800, 464640, 465000, 468875, 476160, 480000, 480128, 484000, 491040, 495000, 495616, 496000, 506880, 511500, 512000, 523776, 528000, 540144, 544500, 545600, 557568, 558000, 562650, 563200, 571392, 576000, 580800, 595200, 600160, 605000, 613800, 619520, 620000, 633600, 634880, 639375, 640000, 654720, 660000, 675180, 675840, 680625, 682000, 696960, 697500, 698368, 704000, 714240, 720000, 720192, 726000, 743424, 744000, 750200, 767250, 768000, 774400, 785664, 792000, 793600, 818400, 843975, 844800, 852500, 871200, 872960, 880000, 892800, 900240, 907500, 921600, 929280, 930000, 937750, 952320, 960000, 960256, 968000, 982080, 990000, 992000, 1013760, 1023000, 1047552, 1056000, 1080288, 1089000, 1091200, 1115136, 1116000, 1125300, 1126400, 1142784, 1152000, 1161600, 1190400, 1200320, 1210000, 1227600, 1239040, 1240000, 1267200, 1278750, 1280000, 1309440, 1320000, 1350360, 1361250, 1364000, 1393920, 1395000, 1396736, 1406625, 1408000, 1428480, 1440000, 1440384, 1452000, 1486848, 1488000, 1500400, 1534500, 1536000, 1548800, 1571328, 1584000, 1587200, 1636800, 1687950, 1689600, 1705000, 1742400, 1745920, 1760000, 1785600, 1800480, 1815000, 1858560, 1860000, 1875500, 1904640, 1918125, 1920000, 1920512, 1936000, 1964160, 1980000, 1984000, 2027520, 2046000, 2095104, 2112000, 2160576, 2178000, 2182400, 2230272, 2232000, 2250600, 2304000, 2323200, 2344375, 2380800, 2400640, 2420000, 2455200, 2478080, 2480000, 2534400, 2557500, 2560000, 2618880, 2640000, 2700720, 2722500, 2728000, 2787840, 2790000, 2813250, 2816000, 2856960, 2880000, 2880768, 2904000, 2976000, 3000800, 3069000, 3097600, 3142656, 3168000, 3174400, 3273600, 3375900, 3379200, 3410000, 3484800, 3491840, 3520000, 3571200, 3600960, 3630000, 3717120, 3720000, 3751000, 3836250, 3840000, 3841024, 3872000, 3928320, 3960000, 3968000, 4092000, 4190208, 4219875, 4224000, 4321152, 4356000, 4364800, 4460544, 4464000, 4501200, 4608000, 4646400, 4688750, 4761600, 4801280, 4840000, 4910400, 4960000, 5068800, 5115000, 5237760, 5280000, 5401440, 5445000, 5456000, 5575680, 5580000, 5626500, 5632000, 5713920, 5760000, 5761536, 5808000, 5952000, 6001600, 6138000, 6195200, 6285312, 6336000, 6547200, 6751800, 6820000, 6969600, 6983680, 7033125, 7040000, 7142400, 7201920, 7260000, 7434240, 7440000, 7502000, 7672500, 7680000, 7682048, 7744000, 7856640, 7920000, 7936000, 8184000, 8439750, 8448000, 8642304, 8712000, 8729600, 8928000, 9002400, 9292800, 9377500, 9523200, 9602560, 9680000, 9820800, 9920000, 10137600, 10230000, 10475520, 10560000, 10802880, 10890000, 10912000, 11151360, 11160000, 11253000, 11520000, 11523072, 11616000, 11904000, 12003200, 12276000, 12390400, 12570624, 12672000, 13094400, 13503600, 13640000, 13939200, 14066250, 14080000, 14284800, 14403840, 14520000, 14880000, 15004000, 15345000, 15364096, 15488000, 15713280, 15840000, 15872000, 16368000, 16879500, 16896000, 17284608, 17424000, 17459200, 17856000, 18004800, 18585600, 18755000, 19205120, 19360000, 19641600, 19840000, 20460000, 20951040, 21099375, 21120000, 21605760, 21780000, 21824000, 22302720, 22320000, 22506000, 23040000, 23046144, 23232000, 23808000, 24006400, 24552000, 25344000, 26188800, 27007200, 27280000, 27878400, 28132500, 28160000, 28569600, 28807680, 29040000, 29760000, 30008000, 30690000, 30976000, 31426560, 31680000, 32736000, 33759000, 34569216, 34848000, 34918400, 35712000, 36009600, 37171200, 37510000, 38410240, 38720000, 39283200, 39680000, 40920000, 42198750, 42240000, 43211520, 43560000, 43648000, 44640000, 45012000, 46092288, 46464000, 47616000, 48012800, 49104000, 50688000, 52377600, 54014400, 54560000, 55756800, 56265000, 57615360, 58080000, 59520000, 60016000, 61380000, 61952000, 62853120, 63360000, 65472000, 67518000, 69138432, 69696000, 71424000, 72019200, 75020000, 76820480, 77440000, 78566400, 79360000, 81840000, 84397500, 84480000, 86423040, 87120000, 87296000, 89280000, 90024000, 92928000, 96025600, 98208000, 104755200, 108028800, 109120000, 111513600, 112530000, 115230720, 116160000, 119040000, 120032000, 122760000, 126720000, 130944000, 135036000, 138276864, 139392000, 142848000, 144038400, 150040000, 154880000, 157132800, 163680000, 168795000, 172846080, 174240000, 174592000, 178560000, 180048000, 185856000, 192051200, 196416000, 216057600, 218240000, 225060000, 230461440, 232320000, 238080000, 240064000, 245520000, 253440000, 261888000, 270072000, 278784000, 288076800, 300080000, 309760000, 314265600, 327360000, 337590000, 345692160, 348480000, 357120000, 360096000, 384102400, 392832000, 432115200, 436480000, 450120000, 464640000, 480128000, 491040000, 523776000, 540144000, 557568000, 576153600, 600160000, 654720000, 675180000, 691384320, 696960000, 714240000, 720192000, 785664000, 864230400, 872960000, 900240000, 929280000, 960256000, 982080000, 1080288000, 1152307200, 1200320000, 1309440000, 1350360000, 1393920000, 1440384000, 1571328000, 1728460800, 1800480000, 1920512000, 1964160000, 2160576000, 2400640000, 2618880000, 2700720000, 2787840000, 2880768000, 3456921600, 3600960000, 3928320000, 4321152000, 4801280000, 5401440000, 5761536000, 7201920000, 7856640000, 8642304000, 9602560000, 10802880000, 14403840000, 17284608000, 21605760000, 28807680000, 43211520000, 86423040000]

約数ペア:

[(1, 86423040000), (2, 43211520000), (3, 28807680000), (4, 21605760000), (5, 17284608000), (6, 14403840000), (8, 10802880000), (9, 9602560000), (10, 8642304000), (11, 7856640000), (12, 7201920000), (15, 5761536000), (16, 5401440000), (18, 4801280000), (20, 4321152000), (22, 3928320000), (24, 3600960000), (25, 3456921600), (30, 2880768000), (31, 2787840000), (32, 2700720000), (33, 2618880000), (36, 2400640000), (40, 2160576000), (44, 1964160000), (45, 1920512000), (48, 1800480000), (50, 1728460800), (55, 1571328000), (60, 1440384000), (62, 1393920000), (64, 1350360000), (66, 1309440000), (72, 1200320000), (75, 1152307200), (80, 1080288000), (88, 982080000), (90, 960256000), (93, 929280000), (96, 900240000), (99, 872960000), (100, 864230400), (110, 785664000), (120, 720192000), (121, 714240000), (124, 696960000), (125, 691384320), (128, 675180000), (132, 654720000), (144, 600160000), (150, 576153600), (155, 557568000), (160, 540144000), (165, 523776000), (176, 491040000), (180, 480128000), (186, 464640000), (192, 450120000), (198, 436480000), (200, 432115200), (220, 392832000), (225, 384102400), (240, 360096000), (242, 357120000), (248, 348480000), (250, 345692160), (256, 337590000), (264, 327360000), (275, 314265600), (279, 309760000), (288, 300080000), (300, 288076800), (310, 278784000), (320, 270072000), (330, 261888000), (341, 253440000), (352, 245520000), (360, 240064000), (363, 238080000), (372, 232320000), (375, 230461440), (384, 225060000), (396, 218240000), (400, 216057600), (440, 196416000), (450, 192051200), (465, 185856000), (480, 180048000), (484, 178560000), (495, 174592000), (496, 174240000), (500, 172846080), (512, 168795000), (528, 163680000), (550, 157132800), (558, 154880000), (576, 150040000), (600, 144038400), (605, 142848000), (620, 139392000), (625, 138276864), (640, 135036000), (660, 130944000), (682, 126720000), (704, 122760000), (720, 120032000), (726, 119040000), (744, 116160000), (750, 115230720), (768, 112530000), (775, 111513600), (792, 109120000), (800, 108028800), (825, 104755200), (880, 98208000), (900, 96025600), (930, 92928000), (960, 90024000), (968, 89280000), (990, 87296000), (992, 87120000), (1000, 86423040), (1023, 84480000), (1024, 84397500), (1056, 81840000), (1089, 79360000), (1100, 78566400), (1116, 77440000), (1125, 76820480), (1152, 75020000), (1200, 72019200), (1210, 71424000), (1240, 69696000), (1250, 69138432), (1280, 67518000), (1320, 65472000), (1364, 63360000), (1375, 62853120), (1395, 61952000), (1408, 61380000), (1440, 60016000), (1452, 59520000), (1488, 58080000), (1500, 57615360), (1536, 56265000), (1550, 55756800), (1584, 54560000), (1600, 54014400), (1650, 52377600), (1705, 50688000), (1760, 49104000), (1800, 48012800), (1815, 47616000), (1860, 46464000), (1875, 46092288), (1920, 45012000), (1936, 44640000), (1980, 43648000), (1984, 43560000), (2000, 43211520), (2046, 42240000), (2048, 42198750), (2112, 40920000), (2178, 39680000), (2200, 39283200), (2232, 38720000), (2250, 38410240), (2304, 37510000), (2325, 37171200), (2400, 36009600), (2420, 35712000), (2475, 34918400), (2480, 34848000), (2500, 34569216), (2560, 33759000), (2640, 32736000), (2728, 31680000), (2750, 31426560), (2790, 30976000), (2816, 30690000), (2880, 30008000), (2904, 29760000), (2976, 29040000), (3000, 28807680), (3025, 28569600), (3069, 28160000), (3072, 28132500), (3100, 27878400), (3168, 27280000), (3200, 27007200), (3300, 26188800), (3410, 25344000), (3520, 24552000), (3600, 24006400), (3630, 23808000), (3720, 23232000), (3750, 23046144), (3751, 23040000), (3840, 22506000), (3872, 22320000), (3875, 22302720), (3960, 21824000), (3968, 21780000), (4000, 21605760), (4092, 21120000), (4096, 21099375), (4125, 20951040), (4224, 20460000), (4356, 19840000), (4400, 19641600), (4464, 19360000), (4500, 19205120), (4608, 18755000), (4650, 18585600), (4800, 18004800), (4840, 17856000), (4950, 17459200), (4960, 17424000), (5000, 17284608), (5115, 16896000), (5120, 16879500), (5280, 16368000), (5445, 15872000), (5456, 15840000), (5500, 15713280), (5580, 15488000), (5625, 15364096), (5632, 15345000), (5760, 15004000), (5808, 14880000), (5952, 14520000), (6000, 14403840), (6050, 14284800), (6138, 14080000), (6144, 14066250), (6200, 13939200), (6336, 13640000), (6400, 13503600), (6600, 13094400), (6820, 12672000), (6875, 12570624), (6975, 12390400), (7040, 12276000), (7200, 12003200), (7260, 11904000), (7440, 11616000), (7500, 11523072), (7502, 11520000), (7680, 11253000), (7744, 11160000), (7750, 11151360), (7920, 10912000), (7936, 10890000), (8000, 10802880), (8184, 10560000), (8250, 10475520), (8448, 10230000), (8525, 10137600), (8712, 9920000), (8800, 9820800), (8928, 9680000), (9000, 9602560), (9075, 9523200), (9216, 9377500), (9300, 9292800), (9600, 9002400), (9680, 8928000), (9900, 8729600), (9920, 8712000), (10000, 8642304), (10230, 8448000), (10240, 8439750), (10560, 8184000), (10890, 7936000), (10912, 7920000), (11000, 7856640), (11160, 7744000), (11250, 7682048), (11253, 7680000), (11264, 7672500), (11520, 7502000), (11616, 7440000), (11625, 7434240), (11904, 7260000), (12000, 7201920), (12100, 7142400), (12276, 7040000), (12288, 7033125), (12375, 6983680), (12400, 6969600), (12672, 6820000), (12800, 6751800), (13200, 6547200), (13640, 6336000), (13750, 6285312), (13950, 6195200), (14080, 6138000), (14400, 6001600), (14520, 5952000), (14880, 5808000), (15000, 5761536), (15004, 5760000), (15125, 5713920), (15345, 5632000), (15360, 5626500), (15488, 5580000), (15500, 5575680), (15840, 5456000), (15872, 5445000), (16000, 5401440), (16368, 5280000), (16500, 5237760), (16896, 5115000), (17050, 5068800), (17424, 4960000), (17600, 4910400), (17856, 4840000), (18000, 4801280), (18150, 4761600), (18432, 4688750), (18600, 4646400), (18755, 4608000), (19200, 4501200), (19360, 4464000), (19375, 4460544), (19800, 4364800), (19840, 4356000), (20000, 4321152), (20460, 4224000), (20480, 4219875), (20625, 4190208), (21120, 4092000), (21780, 3968000), (21824, 3960000), (22000, 3928320), (22320, 3872000), (22500, 3841024), (22506, 3840000), (22528, 3836250), (23040, 3751000), (23232, 3720000), (23250, 3717120), (23808, 3630000), (24000, 3600960), (24200, 3571200), (24552, 3520000), (24750, 3491840), (24800, 3484800), (25344, 3410000), (25575, 3379200), (25600, 3375900), (26400, 3273600), (27225, 3174400), (27280, 3168000), (27500, 3142656), (27900, 3097600), (28160, 3069000), (28800, 3000800), (29040, 2976000), (29760, 2904000), (30000, 2880768), (30008, 2880000), (30250, 2856960), (30690, 2816000), (30720, 2813250), (30976, 2790000), (31000, 2787840), (31680, 2728000), (31744, 2722500), (32000, 2700720), (32736, 2640000), (33000, 2618880), (33759, 2560000), (33792, 2557500), (34100, 2534400), (34848, 2480000), (34875, 2478080), (35200, 2455200), (35712, 2420000), (36000, 2400640), (36300, 2380800), (36864, 2344375), (37200, 2323200), (37510, 2304000), (38400, 2250600), (38720, 2232000), (38750, 2230272), (39600, 2182400), (39680, 2178000), (40000, 2160576), (40920, 2112000), (41250, 2095104), (42240, 2046000), (42625, 2027520), (43560, 1984000), (43648, 1980000), (44000, 1964160), (44640, 1936000), (45000, 1920512), (45012, 1920000), (45056, 1918125), (45375, 1904640), (46080, 1875500), (46464, 1860000), (46500, 1858560), (47616, 1815000), (48000, 1800480), (48400, 1785600), (49104, 1760000), (49500, 1745920), (49600, 1742400), (50688, 1705000), (51150, 1689600), (51200, 1687950), (52800, 1636800), (54450, 1587200), (54560, 1584000), (55000, 1571328), (55800, 1548800), (56265, 1536000), (56320, 1534500), (57600, 1500400), (58080, 1488000), (58125, 1486848), (59520, 1452000), (60000, 1440384), (60016, 1440000), (60500, 1428480), (61380, 1408000), (61440, 1406625), (61875, 1396736), (61952, 1395000), (62000, 1393920), (63360, 1364000), (63488, 1361250), (64000, 1350360), (65472, 1320000), (66000, 1309440), (67518, 1280000), (67584, 1278750), (68200, 1267200), (69696, 1240000), (69750, 1239040), (70400, 1227600), (71424, 1210000), (72000, 1200320), (72600, 1190400), (74400, 1161600), (75020, 1152000), (75625, 1142784), (76725, 1126400), (76800, 1125300), (77440, 1116000), (77500, 1115136), (79200, 1091200), (79360, 1089000), (80000, 1080288), (81840, 1056000), (82500, 1047552), (84480, 1023000), (85250, 1013760), (87120, 992000), (87296, 990000), (88000, 982080), (89280, 968000), (90000, 960256), (90024, 960000), (90750, 952320), (92160, 937750), (92928, 930000), (93000, 929280), (93775, 921600), (95232, 907500), (96000, 900240), (96800, 892800), (98208, 880000), (99000, 872960), (99200, 871200), (101376, 852500), (102300, 844800), (102400, 843975), (105600, 818400), (108900, 793600), (109120, 792000), (110000, 785664), (111600, 774400), (112530, 768000), (112640, 767250), (115200, 750200), (116160, 744000), (116250, 743424), (119040, 726000), (120000, 720192), (120032, 720000), (121000, 714240), (122760, 704000), (123750, 698368), (123904, 697500), (124000, 696960), (126720, 682000), (126976, 680625), (127875, 675840), (128000, 675180), (130944, 660000), (132000, 654720), (135036, 640000), (135168, 639375), (136125, 634880), (136400, 633600), (139392, 620000), (139500, 619520), (140800, 613800), (142848, 605000), (144000, 600160), (145200, 595200), (148800, 580800), (150040, 576000), (151250, 571392), (153450, 563200), (153600, 562650), (154880, 558000), (155000, 557568), (158400, 545600), (158720, 544500), (160000, 540144), (163680, 528000), (165000, 523776), (168795, 512000), (168960, 511500), (170500, 506880), (174240, 496000), (174375, 495616), (174592, 495000), (176000, 491040), (178560, 484000), (180000, 480128), (180048, 480000), (181500, 476160), (184320, 468875), (185856, 465000), (186000, 464640), (187550, 460800), (190464, 453750), (192000, 450120), (193600, 446400), (196416, 440000), (198000, 436480), (198400, 435600), (202752, 426250), (204600, 422400), (211200, 409200), (213125, 405504), (217800, 396800), (218240, 396000), (220000, 392832), (223200, 387200), (225060, 384000), (225280, 383625), (226875, 380928), (230400, 375100), (232320, 372000), (232500, 371712), (238080, 363000), (240000, 360096), (240064, 360000), (242000, 357120), (245520, 352000), (247500, 349184), (247808, 348750), (248000, 348480), (253440, 341000), (255750, 337920), (256000, 337590), (261888, 330000), (264000, 327360), (270072, 320000), (272250, 317440), (272800, 316800), (278784, 310000), (279000, 309760), (281325, 307200), (281600, 306900), (285696, 302500), (288000, 300080), (290400, 297600)]