30066336000

素因数分解:

$2^8\times 3^3\times 5^3\times {\mathrm{17}}^1\times {\mathrm{23}}^1\times {\mathrm{89}}^1$

素因数の和:169

約数の個数: 1152

約数和(自身を含む): 123974323200

約数和(自身を除く): 93907987200

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 23, 24, 25, 27, 30, 32, 34, 36, 40, 45, 46, 48, 50, 51, 54, 60, 64, 68, 69, 72, 75, 80, 85, 89, 90, 92, 96, 100, 102, 108, 115, 120, 125, 128, 135, 136, 138, 144, 150, 153, 160, 170, 178, 180, 184, 192, 200, 204, 207, 216, 225, 230, 240, 250, 255, 256, 267, 270, 272, 276, 288, 300, 306, 320, 340, 345, 356, 360, 368, 375, 384, 391, 400, 408, 414, 425, 432, 445, 450, 459, 460, 480, 500, 510, 534, 540, 544, 552, 575, 576, 600, 612, 621, 640, 675, 680, 690, 712, 720, 736, 750, 765, 768, 782, 800, 801, 816, 828, 850, 864, 890, 900, 918, 920, 960, 1000, 1020, 1035, 1068, 1080, 1088, 1104, 1125, 1150, 1152, 1173, 1200, 1224, 1242, 1275, 1280, 1335, 1350, 1360, 1380, 1424, 1440, 1472, 1500, 1513, 1530, 1564, 1600, 1602, 1632, 1656, 1700, 1725, 1728, 1780, 1800, 1836, 1840, 1920, 1955, 2000, 2040, 2047, 2070, 2125, 2136, 2160, 2176, 2208, 2225, 2250, 2295, 2300, 2304, 2346, 2400, 2403, 2448, 2484, 2550, 2670, 2700, 2720, 2760, 2848, 2875, 2880, 2944, 3000, 3026, 3060, 3105, 3128, 3200, 3204, 3264, 3312, 3375, 3400, 3450, 3456, 3519, 3560, 3600, 3672, 3680, 3825, 3840, 3910, 4000, 4005, 4080, 4094, 4140, 4250, 4272, 4320, 4352, 4416, 4450, 4500, 4539, 4590, 4600, 4692, 4800, 4806, 4896, 4968, 5100, 5175, 5340, 5400, 5440, 5520, 5696, 5750, 5760, 5865, 5888, 6000, 6052, 6120, 6141, 6210, 6256, 6375, 6400, 6408, 6528, 6624, 6675, 6750, 6800, 6900, 6912, 7038, 7120, 7200, 7344, 7360, 7565, 7650, 7820, 8000, 8010, 8160, 8188, 8280, 8500, 8544, 8625, 8640, 8832, 8900, 9000, 9078, 9180, 9200, 9384, 9600, 9612, 9775, 9792, 9936, 10200, 10235, 10350, 10557, 10680, 10800, 10880, 11040, 11125, 11392, 11475, 11500, 11520, 11730, 12000, 12015, 12104, 12240, 12282, 12420, 12512, 12750, 12816, 13056, 13248, 13350, 13500, 13600, 13617, 13800, 14076, 14240, 14400, 14688, 14720, 15130, 15300, 15525, 15640, 16000, 16020, 16320, 16376, 16560, 17000, 17088, 17250, 17280, 17595, 17664, 17800, 18000, 18156, 18360, 18400, 18423, 18768, 19125, 19200, 19224, 19550, 19584, 19872, 20025, 20400, 20470, 20700, 21114, 21360, 21600, 21760, 22080, 22250, 22695, 22784, 22950, 23000, 23460, 24000, 24030, 24208, 24480, 24564, 24840, 25024, 25500, 25632, 25875, 26496, 26700, 27000, 27200, 27234, 27600, 28152, 28480, 28800, 29325, 29376, 29440, 30260, 30600, 30705, 31050, 31280, 32000, 32040, 32640, 32752, 33120, 33375, 34000, 34176, 34500, 34560, 34799, 35190, 35600, 36000, 36312, 36720, 36800, 36846, 37536, 37825, 38250, 38448, 39100, 39168, 39744, 40050, 40800, 40851, 40940, 41400, 42228, 42720, 43200, 44160, 44500, 45390, 45900, 46000, 46920, 48000, 48060, 48416, 48875, 48960, 49128, 49680, 50048, 51000, 51175, 51264, 51750, 52785, 52992, 53400, 54000, 54400, 54468, 55200, 55269, 56304, 56960, 57375, 57600, 58650, 58752, 60075, 60520, 61200, 61410, 62100, 62560, 64080, 65280, 65504, 66240, 66750, 68000, 68085, 68352, 69000, 69598, 70380, 71200, 72000, 72624, 73440, 73600, 73692, 75072, 75650, 76500, 76896, 77625, 78200, 79488, 80100, 81600, 81702, 81880, 82800, 84456, 85440, 86400, 87975, 88320, 89000, 90780, 91800, 92000, 92115, 93840, 96000, 96120, 96832, 97750, 97920, 98256, 99360, 100096, 100125, 102000, 102350, 102528, 103500, 104397, 105570, 106800, 108000, 108800, 108936, 110400, 110538, 112608, 113475, 113920, 114750, 117300, 117504, 120150, 121040, 122400, 122820, 124200, 125120, 128160, 131008, 132480, 133500, 136000, 136170, 138000, 139196, 140760, 142400, 144000, 145248, 146625, 146880, 147200, 147384, 150144, 151300, 153000, 153525, 153792, 155250, 156400, 158976, 160200, 163200, 163404, 163760, 165600, 168912, 170880, 172800, 173995, 175950, 178000, 181560, 183600, 184000, 184230, 187680, 189125, 192240, 193664, 195500, 195840, 196512, 198720, 200250, 204000, 204255, 204700, 205056, 207000, 208794, 211140, 213600, 216000, 217872, 220800, 221076, 225216, 226950, 229500, 234600, 240300, 242080, 244800, 245640, 248400, 250240, 255875, 256320, 262016, 263925, 264960, 267000, 272000, 272340, 276000, 276345, 278392, 281520, 284800, 288000, 290496, 293250, 293760, 294768, 300288, 300375, 302600, 306000, 307050, 307584, 310500, 312800, 313191, 320400, 326400, 326808, 327520, 331200, 337824, 340425, 341760, 347990, 351900, 356000, 363120, 367200, 368000, 368460, 375360, 378250, 384480, 387328, 391000, 393024, 397440, 400500, 408000, 408510, 409400, 414000, 417588, 422280, 427200, 432000, 435744, 439875, 441600, 442152, 450432, 453900, 459000, 460575, 469200, 480600, 484160, 489600, 491280, 496800, 500480, 511750, 512640, 521985, 524032, 527850, 534000, 544000, 544680, 552000, 552690, 556784, 563040, 567375, 569600, 580992, 586500, 587520, 589536, 600750, 605200, 612000, 614100, 615168, 621000, 625600, 626382, 640800, 653616, 655040, 662400, 675648, 680850, 695980, 703800, 712000, 726240, 734400, 736000, 736920, 750720, 756500, 767625, 768960, 782000, 786048, 794880, 801000, 816000, 817020, 818800, 828000, 835176, 844560, 854400, 864000, 869975, 871488, 879750, 884304, 900864, 907800, 918000, 921150, 938400, 939573, 961200, 968320, 979200, 982560, 993600, 1021275, 1023500, 1025280, 1043970, 1055700, 1068000, 1089360, 1104000, 1105380, 1113568, 1126080, 1134750, 1161984, 1173000, 1179072, 1201500, 1210400, 1224000, 1228200, 1242000, 1251200, 1252764, 1281600, 1307232, 1310080, 1319625, 1324800, 1351296, 1361700, 1381725, 1391960, 1407600, 1424000, 1452480, 1468800, 1473840, 1501440, 1513000, 1535250, 1537920, 1564000, 1565955, 1572096, 1602000, 1632000, 1634040, 1637600, 1656000, 1670352, 1689120, 1702125, 1708800, 1739950, 1742976, 1759500, 1768608, 1815600, 1836000, 1842300, 1876800, 1879146, 1922400, 1936640, 1965120, 1987200, 2042550, 2047000, 2087940, 2111400, 2136000, 2178720, 2208000, 2210760, 2227136, 2252160, 2269500, 2302875, 2346000, 2358144, 2403000, 2420800, 2448000, 2456400, 2484000, 2502400, 2505528, 2563200, 2609925, 2614464, 2620160, 2639250, 2702592, 2723400, 2763450, 2783920, 2815200, 2848000, 2904960, 2937600, 2947680, 3026000, 3070500, 3075840, 3128000, 3131910, 3204000, 3268080, 3275200, 3312000, 3340704, 3378240, 3404250, 3479900, 3485952, 3519000, 3537216, 3631200, 3672000, 3684600, 3753600, 3758292, 3844800, 3930240, 3974400, 4085100, 4094000, 4175880, 4222800, 4272000, 4349875, 4357440, 4421520, 4454272, 4504320, 4539000, 4605750, 4692000, 4697865, 4716288, 4806000, 4841600, 4896000, 4912800, 4968000, 5011056, 5106375, 5126400, 5219850, 5228928, 5278500, 5446800, 5526900, 5567840, 5630400, 5809920, 5895360, 6052000, 6141000, 6256000, 6263820, 6408000, 6536160, 6550400, 6624000, 6681408, 6756480, 6808500, 6908625, 6959800, 7038000, 7074432, 7262400, 7344000, 7369200, 7507200, 7516584, 7689600, 7829775, 7860480, 8170200, 8188000, 8351760, 8445600, 8544000, 8699750, 8714880, 8843040, 8908544, 9078000, 9211500, 9384000, 9395730, 9612000, 9683200, 9825600, 9936000, 10022112, 10212750, 10439700, 10457856, 10557000, 10893600, 11053800, 11135680, 11260800, 11790720, 12104000, 12282000, 12512000, 12527640, 12816000, 13049625, 13072320, 13100800, 13362816, 13512960, 13617000, 13817250, 13919600, 14076000, 14148864, 14524800, 14688000, 14738400, 15033168, 15379200, 15659550, 16340400, 16376000, 16703520, 16891200, 17399500, 17429760, 17686080, 18156000, 18423000, 18768000, 18791460, 19224000, 19651200, 19872000, 20044224, 20425500, 20879400, 21114000, 21787200, 22107600, 22271360, 22521600, 23489325, 23581440, 24208000, 24564000, 25055280, 25632000, 26099250, 26144640, 26725632, 27234000, 27634500, 27839200, 28152000, 29049600, 29476800, 30066336, 31319100, 32680800, 32752000, 33407040, 33782400, 34799000, 35372160, 36312000, 36846000, 37536000, 37582920, 38448000, 39148875, 39302400, 40088448, 40851000, 41758800, 42228000, 43574400, 44215200, 44542720, 46978650, 48416000, 49128000, 50110560, 52198500, 52289280, 54468000, 55269000, 55678400, 56304000, 58953600, 60132672, 62638200, 65361600, 65504000, 66814080, 67564800, 69598000, 70744320, 72624000, 73692000, 75165840, 76896000, 78297750, 80176896, 81702000, 83517600, 84456000, 87148800, 88430400, 93957300, 98256000, 100221120, 104397000, 108936000, 110538000, 111356800, 112608000, 117446625, 117907200, 120265344, 125276400, 130723200, 133628160, 139196000, 145248000, 147384000, 150331680, 156595500, 163404000, 167035200, 168912000, 176860800, 187914600, 196512000, 200442240, 208794000, 217872000, 221076000, 222713600, 234893250, 240530688, 250552800, 261446400, 278392000, 294768000, 300663360, 313191000, 326808000, 334070400, 337824000, 353721600, 375829200, 400884480, 417588000, 435744000, 442152000, 469786500, 501105600, 556784000, 589536000, 601326720, 626382000, 653616000, 668140800, 751658400, 835176000, 884304000, 939573000, 1002211200, 1113568000, 1202653440, 1252764000, 1307232000, 1503316800, 1670352000, 1768608000, 1879146000, 2004422400, 2505528000, 3006633600, 3340704000, 3758292000, 5011056000, 6013267200, 7516584000, 10022112000, 15033168000, 30066336000]

約数ペア:

[(1, 30066336000), (2, 15033168000), (3, 10022112000), (4, 7516584000), (5, 6013267200), (6, 5011056000), (8, 3758292000), (9, 3340704000), (10, 3006633600), (12, 2505528000), (15, 2004422400), (16, 1879146000), (17, 1768608000), (18, 1670352000), (20, 1503316800), (23, 1307232000), (24, 1252764000), (25, 1202653440), (27, 1113568000), (30, 1002211200), (32, 939573000), (34, 884304000), (36, 835176000), (40, 751658400), (45, 668140800), (46, 653616000), (48, 626382000), (50, 601326720), (51, 589536000), (54, 556784000), (60, 501105600), (64, 469786500), (68, 442152000), (69, 435744000), (72, 417588000), (75, 400884480), (80, 375829200), (85, 353721600), (89, 337824000), (90, 334070400), (92, 326808000), (96, 313191000), (100, 300663360), (102, 294768000), (108, 278392000), (115, 261446400), (120, 250552800), (125, 240530688), (128, 234893250), (135, 222713600), (136, 221076000), (138, 217872000), (144, 208794000), (150, 200442240), (153, 196512000), (160, 187914600), (170, 176860800), (178, 168912000), (180, 167035200), (184, 163404000), (192, 156595500), (200, 150331680), (204, 147384000), (207, 145248000), (216, 139196000), (225, 133628160), (230, 130723200), (240, 125276400), (250, 120265344), (255, 117907200), (256, 117446625), (267, 112608000), (270, 111356800), (272, 110538000), (276, 108936000), (288, 104397000), (300, 100221120), (306, 98256000), (320, 93957300), (340, 88430400), (345, 87148800), (356, 84456000), (360, 83517600), (368, 81702000), (375, 80176896), (384, 78297750), (391, 76896000), (400, 75165840), (408, 73692000), (414, 72624000), (425, 70744320), (432, 69598000), (445, 67564800), (450, 66814080), (459, 65504000), (460, 65361600), (480, 62638200), (500, 60132672), (510, 58953600), (534, 56304000), (540, 55678400), (544, 55269000), (552, 54468000), (575, 52289280), (576, 52198500), (600, 50110560), (612, 49128000), (621, 48416000), (640, 46978650), (675, 44542720), (680, 44215200), (690, 43574400), (712, 42228000), (720, 41758800), (736, 40851000), (750, 40088448), (765, 39302400), (768, 39148875), (782, 38448000), (800, 37582920), (801, 37536000), (816, 36846000), (828, 36312000), (850, 35372160), (864, 34799000), (890, 33782400), (900, 33407040), (918, 32752000), (920, 32680800), (960, 31319100), (1000, 30066336), (1020, 29476800), (1035, 29049600), (1068, 28152000), (1080, 27839200), (1088, 27634500), (1104, 27234000), (1125, 26725632), (1150, 26144640), (1152, 26099250), (1173, 25632000), (1200, 25055280), (1224, 24564000), (1242, 24208000), (1275, 23581440), (1280, 23489325), (1335, 22521600), (1350, 22271360), (1360, 22107600), (1380, 21787200), (1424, 21114000), (1440, 20879400), (1472, 20425500), (1500, 20044224), (1513, 19872000), (1530, 19651200), (1564, 19224000), (1600, 18791460), (1602, 18768000), (1632, 18423000), (1656, 18156000), (1700, 17686080), (1725, 17429760), (1728, 17399500), (1780, 16891200), (1800, 16703520), (1836, 16376000), (1840, 16340400), (1920, 15659550), (1955, 15379200), (2000, 15033168), (2040, 14738400), (2047, 14688000), (2070, 14524800), (2125, 14148864), (2136, 14076000), (2160, 13919600), (2176, 13817250), (2208, 13617000), (2225, 13512960), (2250, 13362816), (2295, 13100800), (2300, 13072320), (2304, 13049625), (2346, 12816000), (2400, 12527640), (2403, 12512000), (2448, 12282000), (2484, 12104000), (2550, 11790720), (2670, 11260800), (2700, 11135680), (2720, 11053800), (2760, 10893600), (2848, 10557000), (2875, 10457856), (2880, 10439700), (2944, 10212750), (3000, 10022112), (3026, 9936000), (3060, 9825600), (3105, 9683200), (3128, 9612000), (3200, 9395730), (3204, 9384000), (3264, 9211500), (3312, 9078000), (3375, 8908544), (3400, 8843040), (3450, 8714880), (3456, 8699750), (3519, 8544000), (3560, 8445600), (3600, 8351760), (3672, 8188000), (3680, 8170200), (3825, 7860480), (3840, 7829775), (3910, 7689600), (4000, 7516584), (4005, 7507200), (4080, 7369200), (4094, 7344000), (4140, 7262400), (4250, 7074432), (4272, 7038000), (4320, 6959800), (4352, 6908625), (4416, 6808500), (4450, 6756480), (4500, 6681408), (4539, 6624000), (4590, 6550400), (4600, 6536160), (4692, 6408000), (4800, 6263820), (4806, 6256000), (4896, 6141000), (4968, 6052000), (5100, 5895360), (5175, 5809920), (5340, 5630400), (5400, 5567840), (5440, 5526900), (5520, 5446800), (5696, 5278500), (5750, 5228928), (5760, 5219850), (5865, 5126400), (5888, 5106375), (6000, 5011056), (6052, 4968000), (6120, 4912800), (6141, 4896000), (6210, 4841600), (6256, 4806000), (6375, 4716288), (6400, 4697865), (6408, 4692000), (6528, 4605750), (6624, 4539000), (6675, 4504320), (6750, 4454272), (6800, 4421520), (6900, 4357440), (6912, 4349875), (7038, 4272000), (7120, 4222800), (7200, 4175880), (7344, 4094000), (7360, 4085100), (7565, 3974400), (7650, 3930240), (7820, 3844800), (8000, 3758292), (8010, 3753600), (8160, 3684600), (8188, 3672000), (8280, 3631200), (8500, 3537216), (8544, 3519000), (8625, 3485952), (8640, 3479900), (8832, 3404250), (8900, 3378240), (9000, 3340704), (9078, 3312000), (9180, 3275200), (9200, 3268080), (9384, 3204000), (9600, 3131910), (9612, 3128000), (9775, 3075840), (9792, 3070500), (9936, 3026000), (10200, 2947680), (10235, 2937600), (10350, 2904960), (10557, 2848000), (10680, 2815200), (10800, 2783920), (10880, 2763450), (11040, 2723400), (11125, 2702592), (11392, 2639250), (11475, 2620160), (11500, 2614464), (11520, 2609925), (11730, 2563200), (12000, 2505528), (12015, 2502400), (12104, 2484000), (12240, 2456400), (12282, 2448000), (12420, 2420800), (12512, 2403000), (12750, 2358144), (12816, 2346000), (13056, 2302875), (13248, 2269500), (13350, 2252160), (13500, 2227136), (13600, 2210760), (13617, 2208000), (13800, 2178720), (14076, 2136000), (14240, 2111400), (14400, 2087940), (14688, 2047000), (14720, 2042550), (15130, 1987200), (15300, 1965120), (15525, 1936640), (15640, 1922400), (16000, 1879146), (16020, 1876800), (16320, 1842300), (16376, 1836000), (16560, 1815600), (17000, 1768608), (17088, 1759500), (17250, 1742976), (17280, 1739950), (17595, 1708800), (17664, 1702125), (17800, 1689120), (18000, 1670352), (18156, 1656000), (18360, 1637600), (18400, 1634040), (18423, 1632000), (18768, 1602000), (19125, 1572096), (19200, 1565955), (19224, 1564000), (19550, 1537920), (19584, 1535250), (19872, 1513000), (20025, 1501440), (20400, 1473840), (20470, 1468800), (20700, 1452480), (21114, 1424000), (21360, 1407600), (21600, 1391960), (21760, 1381725), (22080, 1361700), (22250, 1351296), (22695, 1324800), (22784, 1319625), (22950, 1310080), (23000, 1307232), (23460, 1281600), (24000, 1252764), (24030, 1251200), (24208, 1242000), (24480, 1228200), (24564, 1224000), (24840, 1210400), (25024, 1201500), (25500, 1179072), (25632, 1173000), (25875, 1161984), (26496, 1134750), (26700, 1126080), (27000, 1113568), (27200, 1105380), (27234, 1104000), (27600, 1089360), (28152, 1068000), (28480, 1055700), (28800, 1043970), (29325, 1025280), (29376, 1023500), (29440, 1021275), (30260, 993600), (30600, 982560), (30705, 979200), (31050, 968320), (31280, 961200), (32000, 939573), (32040, 938400), (32640, 921150), (32752, 918000), (33120, 907800), (33375, 900864), (34000, 884304), (34176, 879750), (34500, 871488), (34560, 869975), (34799, 864000), (35190, 854400), (35600, 844560), (36000, 835176), (36312, 828000), (36720, 818800), (36800, 817020), (36846, 816000), (37536, 801000), (37825, 794880), (38250, 786048), (38448, 782000), (39100, 768960), (39168, 767625), (39744, 756500), (40050, 750720), (40800, 736920), (40851, 736000), (40940, 734400), (41400, 726240), (42228, 712000), (42720, 703800), (43200, 695980), (44160, 680850), (44500, 675648), (45390, 662400), (45900, 655040), (46000, 653616), (46920, 640800), (48000, 626382), (48060, 625600), (48416, 621000), (48875, 615168), (48960, 614100), (49128, 612000), (49680, 605200), (50048, 600750), (51000, 589536), (51175, 587520), (51264, 586500), (51750, 580992), (52785, 569600), (52992, 567375), (53400, 563040), (54000, 556784), (54400, 552690), (54468, 552000), (55200, 544680), (55269, 544000), (56304, 534000), (56960, 527850), (57375, 524032), (57600, 521985), (58650, 512640), (58752, 511750), (60075, 500480), (60520, 496800), (61200, 491280), (61410, 489600), (62100, 484160), (62560, 480600), (64080, 469200), (65280, 460575), (65504, 459000), (66240, 453900), (66750, 450432), (68000, 442152), (68085, 441600), (68352, 439875), (69000, 435744), (69598, 432000), (70380, 427200), (71200, 422280), (72000, 417588), (72624, 414000), (73440, 409400), (73600, 408510), (73692, 408000), (75072, 400500), (75650, 397440), (76500, 393024), (76896, 391000), (77625, 387328), (78200, 384480), (79488, 378250), (80100, 375360), (81600, 368460), (81702, 368000), (81880, 367200), (82800, 363120), (84456, 356000), (85440, 351900), (86400, 347990), (87975, 341760), (88320, 340425), (89000, 337824), (90780, 331200), (91800, 327520), (92000, 326808), (92115, 326400), (93840, 320400), (96000, 313191), (96120, 312800), (96832, 310500), (97750, 307584), (97920, 307050), (98256, 306000), (99360, 302600), (100096, 300375), (100125, 300288), (102000, 294768), (102350, 293760), (102528, 293250), (103500, 290496), (104397, 288000), (105570, 284800), (106800, 281520), (108000, 278392), (108800, 276345), (108936, 276000), (110400, 272340), (110538, 272000), (112608, 267000), (113475, 264960), (113920, 263925), (114750, 262016), (117300, 256320), (117504, 255875), (120150, 250240), (121040, 248400), (122400, 245640), (122820, 244800), (124200, 242080), (125120, 240300), (128160, 234600), (131008, 229500), (132480, 226950), (133500, 225216), (136000, 221076), (136170, 220800), (138000, 217872), (139196, 216000), (140760, 213600), (142400, 211140), (144000, 208794), (145248, 207000), (146625, 205056), (146880, 204700), (147200, 204255), (147384, 204000), (150144, 200250), (151300, 198720), (153000, 196512), (153525, 195840), (153792, 195500), (155250, 193664), (156400, 192240), (158976, 189125), (160200, 187680), (163200, 184230), (163404, 184000), (163760, 183600), (165600, 181560), (168912, 178000), (170880, 175950), (172800, 173995)]