42327648000

素因数分解:

$2^8\times 3^2\times 5^3\times {\mathrm{11}}^1\times {\mathrm{31}}^1\times {\mathrm{431}}^1$

素因数の和:510

約数の個数: 864

約数和(自身を含む): 171911061504

約数和(自身を除く): 129583413504

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, 124, 125, 128, 132, 144, 150, 155, 160, 165, 176, 180, 186, 192, 198, 200, 220, 225, 240, 248, 250, 256, 264, 275, 279, 288, 300, 310, 320, 330, 341, 352, 360, 372, 375, 384, 396, 400, 431, 440, 450, 465, 480, 495, 496, 500, 528, 550, 558, 576, 600, 620, 640, 660, 682, 704, 720, 744, 750, 768, 775, 792, 800, 825, 862, 880, 900, 930, 960, 990, 992, 1000, 1023, 1056, 1100, 1116, 1125, 1152, 1200, 1240, 1280, 1293, 1320, 1364, 1375, 1395, 1408, 1440, 1488, 1500, 1550, 1584, 1600, 1650, 1705, 1724, 1760, 1800, 1860, 1920, 1980, 1984, 2000, 2046, 2112, 2155, 2200, 2232, 2250, 2304, 2325, 2400, 2475, 2480, 2586, 2640, 2728, 2750, 2790, 2816, 2880, 2976, 3000, 3069, 3100, 3168, 3200, 3300, 3410, 3448, 3520, 3600, 3720, 3840, 3875, 3879, 3960, 3968, 4000, 4092, 4125, 4224, 4310, 4400, 4464, 4500, 4650, 4741, 4800, 4950, 4960, 5115, 5172, 5280, 5456, 5500, 5580, 5760, 5952, 6000, 6138, 6200, 6336, 6400, 6465, 6600, 6820, 6896, 6975, 7040, 7200, 7440, 7750, 7758, 7920, 7936, 8000, 8184, 8250, 8448, 8525, 8620, 8800, 8928, 9000, 9300, 9482, 9600, 9900, 9920, 10230, 10344, 10560, 10775, 10912, 11000, 11160, 11520, 11625, 11904, 12000, 12276, 12375, 12400, 12672, 12930, 13200, 13361, 13640, 13792, 13950, 14080, 14223, 14400, 14880, 15345, 15500, 15516, 15840, 16000, 16368, 16500, 17050, 17240, 17600, 17856, 18000, 18600, 18964, 19200, 19395, 19800, 19840, 20460, 20688, 21120, 21550, 21824, 22000, 22320, 23250, 23705, 23808, 24000, 24552, 24750, 24800, 25344, 25575, 25860, 26400, 26722, 27280, 27584, 27900, 28446, 28800, 29760, 30690, 31000, 31032, 31680, 32000, 32325, 32736, 33000, 34100, 34480, 34875, 35200, 35712, 36000, 37200, 37928, 38790, 39600, 39680, 40083, 40920, 41376, 42240, 42625, 42669, 43100, 43648, 44000, 44640, 46500, 47410, 48000, 49104, 49500, 49600, 51150, 51720, 52800, 53444, 53875, 54560, 55168, 55800, 56892, 57600, 59520, 61380, 62000, 62064, 63360, 64650, 65472, 66000, 66805, 68200, 68960, 69750, 70400, 71115, 71424, 72000, 74400, 75856, 76725, 77580, 79200, 80166, 81840, 82752, 85250, 85338, 86200, 87296, 88000, 89280, 93000, 94820, 96000, 96975, 98208, 99000, 99200, 102300, 103440, 105600, 106888, 107750, 109120, 110336, 111600, 113784, 118525, 119040, 120249, 122760, 124000, 124128, 126720, 127875, 129300, 130944, 132000, 133610, 136400, 137920, 139500, 142230, 144000, 146971, 148800, 151712, 153450, 155160, 158400, 160332, 161625, 163680, 165504, 170500, 170676, 172400, 176000, 178560, 186000, 189640, 193950, 196416, 198000, 198400, 200415, 204600, 206880, 211200, 213345, 213776, 215500, 218240, 223200, 227568, 237050, 240498, 245520, 248000, 248256, 255750, 258600, 261888, 264000, 267220, 272800, 275840, 279000, 284460, 288000, 293942, 297600, 303424, 306900, 310320, 316800, 320664, 323250, 327360, 331008, 334025, 341000, 341352, 344800, 352000, 355575, 357120, 372000, 379280, 383625, 387900, 392832, 396000, 400830, 409200, 413760, 426690, 427552, 431000, 436480, 440913, 446400, 455136, 474100, 480996, 484875, 491040, 496000, 496512, 511500, 517200, 528000, 534440, 545600, 551680, 558000, 568920, 587884, 592625, 595200, 601245, 606848, 613800, 620640, 633600, 641328, 646500, 654720, 668050, 682000, 682704, 689600, 711150, 734855, 744000, 758560, 767250, 775800, 785664, 792000, 801660, 818400, 827520, 853380, 855104, 862000, 881826, 892800, 910272, 948200, 961992, 969750, 982080, 992000, 993024, 1002075, 1023000, 1034400, 1056000, 1066725, 1068880, 1091200, 1116000, 1137840, 1175768, 1185250, 1202490, 1213696, 1227600, 1241280, 1282656, 1293000, 1309440, 1322739, 1336100, 1364000, 1365408, 1379200, 1422300, 1469710, 1488000, 1517120, 1534500, 1551600, 1584000, 1603320, 1636800, 1655040, 1670125, 1706760, 1710208, 1724000, 1763652, 1777875, 1785600, 1820544, 1896400, 1923984, 1939500, 1964160, 2004150, 2046000, 2068800, 2133450, 2137760, 2182400, 2204565, 2232000, 2275680, 2351536, 2370500, 2404980, 2455200, 2482560, 2565312, 2586000, 2645478, 2672200, 2728000, 2730816, 2758400, 2844600, 2939420, 2976000, 3006225, 3034240, 3069000, 3103200, 3168000, 3206640, 3273600, 3340250, 3413520, 3420416, 3448000, 3527304, 3555750, 3641088, 3674275, 3792800, 3847968, 3879000, 3928320, 4008300, 4092000, 4137600, 4266900, 4275520, 4409130, 4464000, 4551360, 4703072, 4741000, 4809960, 4910400, 4965120, 5010375, 5130624, 5172000, 5290956, 5333625, 5344400, 5456000, 5461632, 5689200, 5878840, 6012450, 6068480, 6138000, 6206400, 6413280, 6547200, 6613695, 6680500, 6827040, 6896000, 7054608, 7111500, 7348550, 7585600, 7695936, 7758000, 8016600, 8184000, 8275200, 8533800, 8551040, 8818260, 8928000, 9102720, 9406144, 9482000, 9619920, 9820800, 10020750, 10261248, 10344000, 10581912, 10667250, 10688800, 10912000, 10923264, 11022825, 11378400, 11757680, 12024900, 12276000, 12412800, 12826560, 13227390, 13361000, 13654080, 13792000, 14109216, 14223000, 14697100, 15031125, 15171200, 15391872, 15516000, 16033200, 16368000, 17067600, 17102080, 17636520, 18205440, 18371375, 18812288, 18964000, 19239840, 19641600, 20041500, 20688000, 21163824, 21334500, 21377600, 22045650, 22756800, 23515360, 24049800, 24552000, 24825600, 25653120, 26454780, 26722000, 27308160, 28218432, 28446000, 29394200, 30062250, 30342400, 30783744, 31032000, 32066400, 32736000, 33068475, 34135200, 35273040, 36742750, 37624576, 37928000, 38479680, 40083000, 41376000, 42327648, 42669000, 42755200, 44091300, 45513600, 47030720, 48099600, 49104000, 51306240, 52909560, 53444000, 54616320, 55114125, 56436864, 56892000, 58788400, 60124500, 62064000, 64132800, 66136950, 68270400, 70546080, 73485500, 75856000, 76959360, 80166000, 84655296, 85338000, 85510400, 88182600, 91027200, 94061440, 96199200, 98208000, 105819120, 106888000, 110228250, 112873728, 113784000, 117576800, 120249000, 124128000, 128265600, 132273900, 136540800, 141092160, 146971000, 151712000, 153918720, 160332000, 165342375, 169310592, 170676000, 176365200, 188122880, 192398400, 211638240, 213776000, 220456500, 227568000, 235153600, 240498000, 256531200, 264547800, 273081600, 282184320, 293942000, 320664000, 330684750, 338621184, 341352000, 352730400, 384796800, 423276480, 427552000, 440913000, 455136000, 470307200, 480996000, 529095600, 564368640, 587884000, 641328000, 661369500, 682704000, 705460800, 769593600, 846552960, 881826000, 940614400, 961992000, 1058191200, 1175768000, 1282656000, 1322739000, 1365408000, 1410921600, 1693105920, 1763652000, 1923984000, 2116382400, 2351536000, 2645478000, 2821843200, 3527304000, 3847968000, 4232764800, 4703072000, 5290956000, 7054608000, 8465529600, 10581912000, 14109216000, 21163824000, 42327648000]

約数ペア:

[(1, 42327648000), (2, 21163824000), (3, 14109216000), (4, 10581912000), (5, 8465529600), (6, 7054608000), (8, 5290956000), (9, 4703072000), (10, 4232764800), (11, 3847968000), (12, 3527304000), (15, 2821843200), (16, 2645478000), (18, 2351536000), (20, 2116382400), (22, 1923984000), (24, 1763652000), (25, 1693105920), (30, 1410921600), (31, 1365408000), (32, 1322739000), (33, 1282656000), (36, 1175768000), (40, 1058191200), (44, 961992000), (45, 940614400), (48, 881826000), (50, 846552960), (55, 769593600), (60, 705460800), (62, 682704000), (64, 661369500), (66, 641328000), (72, 587884000), (75, 564368640), (80, 529095600), (88, 480996000), (90, 470307200), (93, 455136000), (96, 440913000), (99, 427552000), (100, 423276480), (110, 384796800), (120, 352730400), (124, 341352000), (125, 338621184), (128, 330684750), (132, 320664000), (144, 293942000), (150, 282184320), (155, 273081600), (160, 264547800), (165, 256531200), (176, 240498000), (180, 235153600), (186, 227568000), (192, 220456500), (198, 213776000), (200, 211638240), (220, 192398400), (225, 188122880), (240, 176365200), (248, 170676000), (250, 169310592), (256, 165342375), (264, 160332000), (275, 153918720), (279, 151712000), (288, 146971000), (300, 141092160), (310, 136540800), (320, 132273900), (330, 128265600), (341, 124128000), (352, 120249000), (360, 117576800), (372, 113784000), (375, 112873728), (384, 110228250), (396, 106888000), (400, 105819120), (431, 98208000), (440, 96199200), (450, 94061440), (465, 91027200), (480, 88182600), (495, 85510400), (496, 85338000), (500, 84655296), (528, 80166000), (550, 76959360), (558, 75856000), (576, 73485500), (600, 70546080), (620, 68270400), (640, 66136950), (660, 64132800), (682, 62064000), (704, 60124500), (720, 58788400), (744, 56892000), (750, 56436864), (768, 55114125), (775, 54616320), (792, 53444000), (800, 52909560), (825, 51306240), (862, 49104000), (880, 48099600), (900, 47030720), (930, 45513600), (960, 44091300), (990, 42755200), (992, 42669000), (1000, 42327648), (1023, 41376000), (1056, 40083000), (1100, 38479680), (1116, 37928000), (1125, 37624576), (1152, 36742750), (1200, 35273040), (1240, 34135200), (1280, 33068475), (1293, 32736000), (1320, 32066400), (1364, 31032000), (1375, 30783744), (1395, 30342400), (1408, 30062250), (1440, 29394200), (1488, 28446000), (1500, 28218432), (1550, 27308160), (1584, 26722000), (1600, 26454780), (1650, 25653120), (1705, 24825600), (1724, 24552000), (1760, 24049800), (1800, 23515360), (1860, 22756800), (1920, 22045650), (1980, 21377600), (1984, 21334500), (2000, 21163824), (2046, 20688000), (2112, 20041500), (2155, 19641600), (2200, 19239840), (2232, 18964000), (2250, 18812288), (2304, 18371375), (2325, 18205440), (2400, 17636520), (2475, 17102080), (2480, 17067600), (2586, 16368000), (2640, 16033200), (2728, 15516000), (2750, 15391872), (2790, 15171200), (2816, 15031125), (2880, 14697100), (2976, 14223000), (3000, 14109216), (3069, 13792000), (3100, 13654080), (3168, 13361000), (3200, 13227390), (3300, 12826560), (3410, 12412800), (3448, 12276000), (3520, 12024900), (3600, 11757680), (3720, 11378400), (3840, 11022825), (3875, 10923264), (3879, 10912000), (3960, 10688800), (3968, 10667250), (4000, 10581912), (4092, 10344000), (4125, 10261248), (4224, 10020750), (4310, 9820800), (4400, 9619920), (4464, 9482000), (4500, 9406144), (4650, 9102720), (4741, 8928000), (4800, 8818260), (4950, 8551040), (4960, 8533800), (5115, 8275200), (5172, 8184000), (5280, 8016600), (5456, 7758000), (5500, 7695936), (5580, 7585600), (5760, 7348550), (5952, 7111500), (6000, 7054608), (6138, 6896000), (6200, 6827040), (6336, 6680500), (6400, 6613695), (6465, 6547200), (6600, 6413280), (6820, 6206400), (6896, 6138000), (6975, 6068480), (7040, 6012450), (7200, 5878840), (7440, 5689200), (7750, 5461632), (7758, 5456000), (7920, 5344400), (7936, 5333625), (8000, 5290956), (8184, 5172000), (8250, 5130624), (8448, 5010375), (8525, 4965120), (8620, 4910400), (8800, 4809960), (8928, 4741000), (9000, 4703072), (9300, 4551360), (9482, 4464000), (9600, 4409130), (9900, 4275520), (9920, 4266900), (10230, 4137600), (10344, 4092000), (10560, 4008300), (10775, 3928320), (10912, 3879000), (11000, 3847968), (11160, 3792800), (11520, 3674275), (11625, 3641088), (11904, 3555750), (12000, 3527304), (12276, 3448000), (12375, 3420416), (12400, 3413520), (12672, 3340250), (12930, 3273600), (13200, 3206640), (13361, 3168000), (13640, 3103200), (13792, 3069000), (13950, 3034240), (14080, 3006225), (14223, 2976000), (14400, 2939420), (14880, 2844600), (15345, 2758400), (15500, 2730816), (15516, 2728000), (15840, 2672200), (16000, 2645478), (16368, 2586000), (16500, 2565312), (17050, 2482560), (17240, 2455200), (17600, 2404980), (17856, 2370500), (18000, 2351536), (18600, 2275680), (18964, 2232000), (19200, 2204565), (19395, 2182400), (19800, 2137760), (19840, 2133450), (20460, 2068800), (20688, 2046000), (21120, 2004150), (21550, 1964160), (21824, 1939500), (22000, 1923984), (22320, 1896400), (23250, 1820544), (23705, 1785600), (23808, 1777875), (24000, 1763652), (24552, 1724000), (24750, 1710208), (24800, 1706760), (25344, 1670125), (25575, 1655040), (25860, 1636800), (26400, 1603320), (26722, 1584000), (27280, 1551600), (27584, 1534500), (27900, 1517120), (28446, 1488000), (28800, 1469710), (29760, 1422300), (30690, 1379200), (31000, 1365408), (31032, 1364000), (31680, 1336100), (32000, 1322739), (32325, 1309440), (32736, 1293000), (33000, 1282656), (34100, 1241280), (34480, 1227600), (34875, 1213696), (35200, 1202490), (35712, 1185250), (36000, 1175768), (37200, 1137840), (37928, 1116000), (38790, 1091200), (39600, 1068880), (39680, 1066725), (40083, 1056000), (40920, 1034400), (41376, 1023000), (42240, 1002075), (42625, 993024), (42669, 992000), (43100, 982080), (43648, 969750), (44000, 961992), (44640, 948200), (46500, 910272), (47410, 892800), (48000, 881826), (49104, 862000), (49500, 855104), (49600, 853380), (51150, 827520), (51720, 818400), (52800, 801660), (53444, 792000), (53875, 785664), (54560, 775800), (55168, 767250), (55800, 758560), (56892, 744000), (57600, 734855), (59520, 711150), (61380, 689600), (62000, 682704), (62064, 682000), (63360, 668050), (64650, 654720), (65472, 646500), (66000, 641328), (66805, 633600), (68200, 620640), (68960, 613800), (69750, 606848), (70400, 601245), (71115, 595200), (71424, 592625), (72000, 587884), (74400, 568920), (75856, 558000), (76725, 551680), (77580, 545600), (79200, 534440), (80166, 528000), (81840, 517200), (82752, 511500), (85250, 496512), (85338, 496000), (86200, 491040), (87296, 484875), (88000, 480996), (89280, 474100), (93000, 455136), (94820, 446400), (96000, 440913), (96975, 436480), (98208, 431000), (99000, 427552), (99200, 426690), (102300, 413760), (103440, 409200), (105600, 400830), (106888, 396000), (107750, 392832), (109120, 387900), (110336, 383625), (111600, 379280), (113784, 372000), (118525, 357120), (119040, 355575), (120249, 352000), (122760, 344800), (124000, 341352), (124128, 341000), (126720, 334025), (127875, 331008), (129300, 327360), (130944, 323250), (132000, 320664), (133610, 316800), (136400, 310320), (137920, 306900), (139500, 303424), (142230, 297600), (144000, 293942), (146971, 288000), (148800, 284460), (151712, 279000), (153450, 275840), (155160, 272800), (158400, 267220), (160332, 264000), (161625, 261888), (163680, 258600), (165504, 255750), (170500, 248256), (170676, 248000), (172400, 245520), (176000, 240498), (178560, 237050), (186000, 227568), (189640, 223200), (193950, 218240), (196416, 215500), (198000, 213776), (198400, 213345), (200415, 211200), (204600, 206880)]