54378240000

素因数分解:

$2^{11}\times 3^1\times 5^4\times 7^2\times {\mathrm{17}}^2$

素因数の和:93

約数の個数: 1080

約数和(自身を含む): 223860857220

約数和(自身を除く): 169482617220

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 17, 20, 21, 24, 25, 28, 30, 32, 34, 35, 40, 42, 48, 49, 50, 51, 56, 60, 64, 68, 70, 75, 80, 84, 85, 96, 98, 100, 102, 105, 112, 119, 120, 125, 128, 136, 140, 147, 150, 160, 168, 170, 175, 192, 196, 200, 204, 210, 224, 238, 240, 245, 250, 255, 256, 272, 280, 289, 294, 300, 320, 336, 340, 350, 357, 375, 384, 392, 400, 408, 420, 425, 448, 476, 480, 490, 500, 510, 512, 525, 544, 560, 578, 588, 595, 600, 625, 640, 672, 680, 700, 714, 735, 750, 768, 784, 800, 816, 833, 840, 850, 867, 875, 896, 952, 960, 980, 1000, 1020, 1024, 1050, 1088, 1120, 1156, 1176, 1190, 1200, 1225, 1250, 1275, 1280, 1344, 1360, 1400, 1428, 1445, 1470, 1500, 1536, 1568, 1600, 1632, 1666, 1680, 1700, 1734, 1750, 1785, 1792, 1875, 1904, 1920, 1960, 2000, 2023, 2040, 2048, 2100, 2125, 2176, 2240, 2312, 2352, 2380, 2400, 2450, 2499, 2500, 2550, 2560, 2625, 2688, 2720, 2800, 2856, 2890, 2940, 2975, 3000, 3072, 3136, 3200, 3264, 3332, 3360, 3400, 3468, 3500, 3570, 3584, 3675, 3750, 3808, 3840, 3920, 4000, 4046, 4080, 4165, 4200, 4250, 4335, 4352, 4375, 4480, 4624, 4704, 4760, 4800, 4900, 4998, 5000, 5100, 5120, 5250, 5376, 5440, 5600, 5712, 5780, 5880, 5950, 6000, 6069, 6125, 6144, 6272, 6375, 6400, 6528, 6664, 6720, 6800, 6936, 7000, 7140, 7168, 7225, 7350, 7500, 7616, 7680, 7840, 8000, 8092, 8160, 8330, 8400, 8500, 8670, 8704, 8750, 8925, 8960, 9248, 9408, 9520, 9600, 9800, 9996, 10000, 10115, 10200, 10240, 10500, 10625, 10752, 10880, 11200, 11424, 11560, 11760, 11900, 12000, 12138, 12250, 12495, 12544, 12750, 12800, 13056, 13125, 13328, 13440, 13600, 13872, 14000, 14161, 14280, 14336, 14450, 14700, 14875, 15000, 15232, 15360, 15680, 16000, 16184, 16320, 16660, 16800, 17000, 17340, 17408, 17500, 17850, 17920, 18375, 18496, 18816, 19040, 19200, 19600, 19992, 20000, 20230, 20400, 20825, 21000, 21250, 21504, 21675, 21760, 22400, 22848, 23120, 23520, 23800, 24000, 24276, 24500, 24990, 25088, 25500, 25600, 26112, 26250, 26656, 26880, 27200, 27744, 28000, 28322, 28560, 28900, 29400, 29750, 30000, 30345, 30464, 30625, 30720, 31360, 31875, 32000, 32368, 32640, 33320, 33600, 34000, 34680, 34816, 35000, 35700, 35840, 36125, 36750, 36992, 37632, 38080, 38400, 39200, 39984, 40000, 40460, 40800, 41650, 42000, 42483, 42500, 43008, 43350, 43520, 44625, 44800, 45696, 46240, 47040, 47600, 48000, 48552, 49000, 49980, 50176, 50575, 51000, 51200, 52224, 52500, 53312, 53760, 54400, 55488, 56000, 56644, 57120, 57800, 58800, 59500, 60000, 60690, 60928, 61250, 62475, 62720, 63750, 64000, 64736, 65280, 66640, 67200, 68000, 69360, 70000, 70805, 71400, 71680, 72250, 73500, 73984, 74375, 75264, 76160, 76800, 78400, 79968, 80000, 80920, 81600, 83300, 84000, 84966, 85000, 86700, 87040, 89250, 89600, 91392, 91875, 92480, 94080, 95200, 96000, 97104, 98000, 99960, 100352, 101150, 102000, 104125, 104448, 105000, 106624, 107520, 108375, 108800, 110976, 112000, 113288, 114240, 115600, 117600, 119000, 120000, 121380, 121856, 122500, 124950, 125440, 127500, 128000, 129472, 130560, 133280, 134400, 136000, 138720, 140000, 141610, 142800, 144500, 147000, 147968, 148750, 150528, 151725, 152320, 153600, 156800, 159936, 160000, 161840, 163200, 166600, 168000, 169932, 170000, 173400, 174080, 178500, 179200, 180625, 182784, 183750, 184960, 188160, 190400, 192000, 194208, 196000, 199920, 202300, 204000, 208250, 210000, 212415, 213248, 215040, 216750, 217600, 221952, 223125, 224000, 226576, 228480, 231200, 235200, 238000, 240000, 242760, 243712, 245000, 249900, 250880, 252875, 255000, 256000, 258944, 261120, 266560, 268800, 272000, 277440, 280000, 283220, 285600, 289000, 294000, 295936, 297500, 301056, 303450, 304640, 312375, 313600, 319872, 320000, 323680, 326400, 333200, 336000, 339864, 340000, 346800, 354025, 357000, 358400, 361250, 365568, 367500, 369920, 376320, 380800, 384000, 388416, 392000, 399840, 404600, 408000, 416500, 420000, 424830, 426496, 433500, 435200, 443904, 446250, 448000, 453152, 456960, 462400, 470400, 476000, 480000, 485520, 490000, 499800, 501760, 505750, 510000, 517888, 520625, 522240, 533120, 537600, 541875, 544000, 554880, 560000, 566440, 571200, 578000, 588000, 591872, 595000, 606900, 609280, 624750, 627200, 639744, 640000, 647360, 652800, 666400, 672000, 679728, 680000, 693600, 708050, 714000, 722500, 731136, 735000, 739840, 752640, 758625, 761600, 768000, 776832, 784000, 799680, 809200, 816000, 833000, 840000, 849660, 852992, 867000, 870400, 887808, 892500, 896000, 906304, 913920, 924800, 940800, 952000, 960000, 971040, 980000, 999600, 1011500, 1020000, 1035776, 1041250, 1062075, 1066240, 1075200, 1083750, 1088000, 1109760, 1120000, 1132880, 1142400, 1156000, 1176000, 1190000, 1213800, 1218560, 1249500, 1254400, 1264375, 1279488, 1280000, 1294720, 1305600, 1332800, 1344000, 1359456, 1360000, 1387200, 1416100, 1428000, 1445000, 1470000, 1479680, 1505280, 1517250, 1523200, 1553664, 1561875, 1568000, 1599360, 1618400, 1632000, 1666000, 1680000, 1699320, 1705984, 1734000, 1770125, 1775616, 1785000, 1792000, 1812608, 1827840, 1849600, 1881600, 1904000, 1920000, 1942080, 1960000, 1999200, 2023000, 2040000, 2071552, 2082500, 2124150, 2132480, 2167500, 2176000, 2219520, 2240000, 2265760, 2284800, 2312000, 2352000, 2380000, 2427600, 2499000, 2508800, 2528750, 2558976, 2589440, 2611200, 2665600, 2688000, 2718912, 2720000, 2774400, 2832200, 2856000, 2890000, 2940000, 2959360, 3034500, 3046400, 3107328, 3123750, 3136000, 3198720, 3236800, 3264000, 3332000, 3360000, 3398640, 3468000, 3540250, 3570000, 3625216, 3655680, 3699200, 3763200, 3793125, 3808000, 3840000, 3884160, 3920000, 3998400, 4046000, 4080000, 4143104, 4165000, 4248300, 4264960, 4335000, 4352000, 4439040, 4480000, 4531520, 4569600, 4624000, 4704000, 4760000, 4855200, 4998000, 5057500, 5117952, 5178880, 5310375, 5331200, 5376000, 5437824, 5440000, 5548800, 5664400, 5712000, 5780000, 5880000, 6069000, 6092800, 6214656, 6247500, 6272000, 6397440, 6473600, 6528000, 6664000, 6720000, 6797280, 6936000, 7080500, 7140000, 7250432, 7398400, 7526400, 7586250, 7616000, 7768320, 7840000, 7996800, 8092000, 8160000, 8330000, 8496600, 8529920, 8670000, 8850625, 8878080, 8960000, 9063040, 9139200, 9248000, 9408000, 9520000, 9710400, 9996000, 10115000, 10357760, 10620750, 10662400, 10875648, 10880000, 11097600, 11328800, 11424000, 11560000, 11760000, 12138000, 12429312, 12495000, 12544000, 12794880, 12947200, 13056000, 13328000, 13440000, 13594560, 13872000, 14161000, 14280000, 14500864, 14796800, 15172500, 15232000, 15536640, 15680000, 15993600, 16184000, 16320000, 16660000, 16993200, 17340000, 17701250, 18126080, 18278400, 18496000, 18816000, 19040000, 19420800, 19992000, 20230000, 20715520, 21241500, 21324800, 21751296, 21760000, 22195200, 22657600, 22848000, 23120000, 23520000, 24276000, 24990000, 25589760, 25894400, 26551875, 26656000, 26880000, 27189120, 27744000, 28322000, 28560000, 29001728, 30345000, 30464000, 31073280, 31360000, 31987200, 32368000, 32640000, 33320000, 33986400, 34680000, 35402500, 36252160, 36992000, 37632000, 38080000, 38841600, 39984000, 40460000, 42483000, 42649600, 43502592, 44390400, 45315200, 45696000, 46240000, 47040000, 48552000, 49980000, 51788800, 53103750, 53312000, 54378240, 55488000, 56644000, 57120000, 60690000, 62146560, 62720000, 63974400, 64736000, 65280000, 66640000, 67972800, 69360000, 70805000, 72504320, 73984000, 76160000, 77683200, 79968000, 80920000, 84966000, 87005184, 90630400, 91392000, 92480000, 94080000, 97104000, 99960000, 103577600, 106207500, 106624000, 108756480, 110976000, 113288000, 114240000, 121380000, 127948800, 129472000, 133280000, 135945600, 138720000, 141610000, 145008640, 152320000, 155366400, 159936000, 161840000, 169932000, 181260800, 184960000, 188160000, 194208000, 199920000, 212415000, 213248000, 217512960, 221952000, 226576000, 228480000, 242760000, 258944000, 266560000, 271891200, 277440000, 283220000, 310732800, 319872000, 323680000, 339864000, 362521600, 369920000, 388416000, 399840000, 424830000, 435025920, 453152000, 456960000, 485520000, 517888000, 533120000, 543782400, 554880000, 566440000, 639744000, 647360000, 679728000, 725043200, 776832000, 799680000, 849660000, 906304000, 971040000, 1066240000, 1087564800, 1109760000, 1132880000, 1294720000, 1359456000, 1553664000, 1599360000, 1699320000, 1812608000, 1942080000, 2175129600, 2265760000, 2589440000, 2718912000, 3198720000, 3398640000, 3625216000, 3884160000, 4531520000, 5437824000, 6797280000, 7768320000, 9063040000, 10875648000, 13594560000, 18126080000, 27189120000, 54378240000]

約数ペア:

[(1, 54378240000), (2, 27189120000), (3, 18126080000), (4, 13594560000), (5, 10875648000), (6, 9063040000), (7, 7768320000), (8, 6797280000), (10, 5437824000), (12, 4531520000), (14, 3884160000), (15, 3625216000), (16, 3398640000), (17, 3198720000), (20, 2718912000), (21, 2589440000), (24, 2265760000), (25, 2175129600), (28, 1942080000), (30, 1812608000), (32, 1699320000), (34, 1599360000), (35, 1553664000), (40, 1359456000), (42, 1294720000), (48, 1132880000), (49, 1109760000), (50, 1087564800), (51, 1066240000), (56, 971040000), (60, 906304000), (64, 849660000), (68, 799680000), (70, 776832000), (75, 725043200), (80, 679728000), (84, 647360000), (85, 639744000), (96, 566440000), (98, 554880000), (100, 543782400), (102, 533120000), (105, 517888000), (112, 485520000), (119, 456960000), (120, 453152000), (125, 435025920), (128, 424830000), (136, 399840000), (140, 388416000), (147, 369920000), (150, 362521600), (160, 339864000), (168, 323680000), (170, 319872000), (175, 310732800), (192, 283220000), (196, 277440000), (200, 271891200), (204, 266560000), (210, 258944000), (224, 242760000), (238, 228480000), (240, 226576000), (245, 221952000), (250, 217512960), (255, 213248000), (256, 212415000), (272, 199920000), (280, 194208000), (289, 188160000), (294, 184960000), (300, 181260800), (320, 169932000), (336, 161840000), (340, 159936000), (350, 155366400), (357, 152320000), (375, 145008640), (384, 141610000), (392, 138720000), (400, 135945600), (408, 133280000), (420, 129472000), (425, 127948800), (448, 121380000), (476, 114240000), (480, 113288000), (490, 110976000), (500, 108756480), (510, 106624000), (512, 106207500), (525, 103577600), (544, 99960000), (560, 97104000), (578, 94080000), (588, 92480000), (595, 91392000), (600, 90630400), (625, 87005184), (640, 84966000), (672, 80920000), (680, 79968000), (700, 77683200), (714, 76160000), (735, 73984000), (750, 72504320), (768, 70805000), (784, 69360000), (800, 67972800), (816, 66640000), (833, 65280000), (840, 64736000), (850, 63974400), (867, 62720000), (875, 62146560), (896, 60690000), (952, 57120000), (960, 56644000), (980, 55488000), (1000, 54378240), (1020, 53312000), (1024, 53103750), (1050, 51788800), (1088, 49980000), (1120, 48552000), (1156, 47040000), (1176, 46240000), (1190, 45696000), (1200, 45315200), (1225, 44390400), (1250, 43502592), (1275, 42649600), (1280, 42483000), (1344, 40460000), (1360, 39984000), (1400, 38841600), (1428, 38080000), (1445, 37632000), (1470, 36992000), (1500, 36252160), (1536, 35402500), (1568, 34680000), (1600, 33986400), (1632, 33320000), (1666, 32640000), (1680, 32368000), (1700, 31987200), (1734, 31360000), (1750, 31073280), (1785, 30464000), (1792, 30345000), (1875, 29001728), (1904, 28560000), (1920, 28322000), (1960, 27744000), (2000, 27189120), (2023, 26880000), (2040, 26656000), (2048, 26551875), (2100, 25894400), (2125, 25589760), (2176, 24990000), (2240, 24276000), (2312, 23520000), (2352, 23120000), (2380, 22848000), (2400, 22657600), (2450, 22195200), (2499, 21760000), (2500, 21751296), (2550, 21324800), (2560, 21241500), (2625, 20715520), (2688, 20230000), (2720, 19992000), (2800, 19420800), (2856, 19040000), (2890, 18816000), (2940, 18496000), (2975, 18278400), (3000, 18126080), (3072, 17701250), (3136, 17340000), (3200, 16993200), (3264, 16660000), (3332, 16320000), (3360, 16184000), (3400, 15993600), (3468, 15680000), (3500, 15536640), (3570, 15232000), (3584, 15172500), (3675, 14796800), (3750, 14500864), (3808, 14280000), (3840, 14161000), (3920, 13872000), (4000, 13594560), (4046, 13440000), (4080, 13328000), (4165, 13056000), (4200, 12947200), (4250, 12794880), (4335, 12544000), (4352, 12495000), (4375, 12429312), (4480, 12138000), (4624, 11760000), (4704, 11560000), (4760, 11424000), (4800, 11328800), (4900, 11097600), (4998, 10880000), (5000, 10875648), (5100, 10662400), (5120, 10620750), (5250, 10357760), (5376, 10115000), (5440, 9996000), (5600, 9710400), (5712, 9520000), (5780, 9408000), (5880, 9248000), (5950, 9139200), (6000, 9063040), (6069, 8960000), (6125, 8878080), (6144, 8850625), (6272, 8670000), (6375, 8529920), (6400, 8496600), (6528, 8330000), (6664, 8160000), (6720, 8092000), (6800, 7996800), (6936, 7840000), (7000, 7768320), (7140, 7616000), (7168, 7586250), (7225, 7526400), (7350, 7398400), (7500, 7250432), (7616, 7140000), (7680, 7080500), (7840, 6936000), (8000, 6797280), (8092, 6720000), (8160, 6664000), (8330, 6528000), (8400, 6473600), (8500, 6397440), (8670, 6272000), (8704, 6247500), (8750, 6214656), (8925, 6092800), (8960, 6069000), (9248, 5880000), (9408, 5780000), (9520, 5712000), (9600, 5664400), (9800, 5548800), (9996, 5440000), (10000, 5437824), (10115, 5376000), (10200, 5331200), (10240, 5310375), (10500, 5178880), (10625, 5117952), (10752, 5057500), (10880, 4998000), (11200, 4855200), (11424, 4760000), (11560, 4704000), (11760, 4624000), (11900, 4569600), (12000, 4531520), (12138, 4480000), (12250, 4439040), (12495, 4352000), (12544, 4335000), (12750, 4264960), (12800, 4248300), (13056, 4165000), (13125, 4143104), (13328, 4080000), (13440, 4046000), (13600, 3998400), (13872, 3920000), (14000, 3884160), (14161, 3840000), (14280, 3808000), (14336, 3793125), (14450, 3763200), (14700, 3699200), (14875, 3655680), (15000, 3625216), (15232, 3570000), (15360, 3540250), (15680, 3468000), (16000, 3398640), (16184, 3360000), (16320, 3332000), (16660, 3264000), (16800, 3236800), (17000, 3198720), (17340, 3136000), (17408, 3123750), (17500, 3107328), (17850, 3046400), (17920, 3034500), (18375, 2959360), (18496, 2940000), (18816, 2890000), (19040, 2856000), (19200, 2832200), (19600, 2774400), (19992, 2720000), (20000, 2718912), (20230, 2688000), (20400, 2665600), (20825, 2611200), (21000, 2589440), (21250, 2558976), (21504, 2528750), (21675, 2508800), (21760, 2499000), (22400, 2427600), (22848, 2380000), (23120, 2352000), (23520, 2312000), (23800, 2284800), (24000, 2265760), (24276, 2240000), (24500, 2219520), (24990, 2176000), (25088, 2167500), (25500, 2132480), (25600, 2124150), (26112, 2082500), (26250, 2071552), (26656, 2040000), (26880, 2023000), (27200, 1999200), (27744, 1960000), (28000, 1942080), (28322, 1920000), (28560, 1904000), (28900, 1881600), (29400, 1849600), (29750, 1827840), (30000, 1812608), (30345, 1792000), (30464, 1785000), (30625, 1775616), (30720, 1770125), (31360, 1734000), (31875, 1705984), (32000, 1699320), (32368, 1680000), (32640, 1666000), (33320, 1632000), (33600, 1618400), (34000, 1599360), (34680, 1568000), (34816, 1561875), (35000, 1553664), (35700, 1523200), (35840, 1517250), (36125, 1505280), (36750, 1479680), (36992, 1470000), (37632, 1445000), (38080, 1428000), (38400, 1416100), (39200, 1387200), (39984, 1360000), (40000, 1359456), (40460, 1344000), (40800, 1332800), (41650, 1305600), (42000, 1294720), (42483, 1280000), (42500, 1279488), (43008, 1264375), (43350, 1254400), (43520, 1249500), (44625, 1218560), (44800, 1213800), (45696, 1190000), (46240, 1176000), (47040, 1156000), (47600, 1142400), (48000, 1132880), (48552, 1120000), (49000, 1109760), (49980, 1088000), (50176, 1083750), (50575, 1075200), (51000, 1066240), (51200, 1062075), (52224, 1041250), (52500, 1035776), (53312, 1020000), (53760, 1011500), (54400, 999600), (55488, 980000), (56000, 971040), (56644, 960000), (57120, 952000), (57800, 940800), (58800, 924800), (59500, 913920), (60000, 906304), (60690, 896000), (60928, 892500), (61250, 887808), (62475, 870400), (62720, 867000), (63750, 852992), (64000, 849660), (64736, 840000), (65280, 833000), (66640, 816000), (67200, 809200), (68000, 799680), (69360, 784000), (70000, 776832), (70805, 768000), (71400, 761600), (71680, 758625), (72250, 752640), (73500, 739840), (73984, 735000), (74375, 731136), (75264, 722500), (76160, 714000), (76800, 708050), (78400, 693600), (79968, 680000), (80000, 679728), (80920, 672000), (81600, 666400), (83300, 652800), (84000, 647360), (84966, 640000), (85000, 639744), (86700, 627200), (87040, 624750), (89250, 609280), (89600, 606900), (91392, 595000), (91875, 591872), (92480, 588000), (94080, 578000), (95200, 571200), (96000, 566440), (97104, 560000), (98000, 554880), (99960, 544000), (100352, 541875), (101150, 537600), (102000, 533120), (104125, 522240), (104448, 520625), (105000, 517888), (106624, 510000), (107520, 505750), (108375, 501760), (108800, 499800), (110976, 490000), (112000, 485520), (113288, 480000), (114240, 476000), (115600, 470400), (117600, 462400), (119000, 456960), (120000, 453152), (121380, 448000), (121856, 446250), (122500, 443904), (124950, 435200), (125440, 433500), (127500, 426496), (128000, 424830), (129472, 420000), (130560, 416500), (133280, 408000), (134400, 404600), (136000, 399840), (138720, 392000), (140000, 388416), (141610, 384000), (142800, 380800), (144500, 376320), (147000, 369920), (147968, 367500), (148750, 365568), (150528, 361250), (151725, 358400), (152320, 357000), (153600, 354025), (156800, 346800), (159936, 340000), (160000, 339864), (161840, 336000), (163200, 333200), (166600, 326400), (168000, 323680), (169932, 320000), (170000, 319872), (173400, 313600), (174080, 312375), (178500, 304640), (179200, 303450), (180625, 301056), (182784, 297500), (183750, 295936), (184960, 294000), (188160, 289000), (190400, 285600), (192000, 283220), (194208, 280000), (196000, 277440), (199920, 272000), (202300, 268800), (204000, 266560), (208250, 261120), (210000, 258944), (212415, 256000), (213248, 255000), (215040, 252875), (216750, 250880), (217600, 249900), (221952, 245000), (223125, 243712), (224000, 242760), (226576, 240000), (228480, 238000), (231200, 235200)]