54291686400

素因数分解:

$2^{10}\times 3^3\times 5^2\times 7^3\times {\mathrm{229}}^1$

素因数の和:289

約数の個数: 1056

約数和(自身を含む): 233521760000

約数和(自身を除く): 179230073600

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, 28, 30, 32, 35, 36, 40, 42, 45, 48, 49, 50, 54, 56, 60, 63, 64, 70, 72, 75, 80, 84, 90, 96, 98, 100, 105, 108, 112, 120, 126, 128, 135, 140, 144, 147, 150, 160, 168, 175, 180, 189, 192, 196, 200, 210, 216, 224, 225, 229, 240, 245, 252, 256, 270, 280, 288, 294, 300, 315, 320, 336, 343, 350, 360, 378, 384, 392, 400, 420, 432, 441, 448, 450, 458, 480, 490, 504, 512, 525, 540, 560, 576, 588, 600, 630, 640, 672, 675, 686, 687, 700, 720, 735, 756, 768, 784, 800, 840, 864, 882, 896, 900, 916, 945, 960, 980, 1008, 1024, 1029, 1050, 1080, 1120, 1145, 1152, 1176, 1200, 1225, 1260, 1280, 1323, 1344, 1350, 1372, 1374, 1400, 1440, 1470, 1512, 1536, 1568, 1575, 1600, 1603, 1680, 1715, 1728, 1764, 1792, 1800, 1832, 1890, 1920, 1960, 2016, 2058, 2061, 2100, 2160, 2205, 2240, 2290, 2304, 2352, 2400, 2450, 2520, 2560, 2646, 2688, 2700, 2744, 2748, 2800, 2880, 2940, 3024, 3072, 3087, 3136, 3150, 3200, 3206, 3360, 3430, 3435, 3456, 3528, 3584, 3600, 3664, 3675, 3780, 3840, 3920, 4032, 4116, 4122, 4200, 4320, 4410, 4480, 4580, 4608, 4704, 4725, 4800, 4809, 4900, 5040, 5120, 5145, 5292, 5376, 5400, 5488, 5496, 5600, 5725, 5760, 5880, 6048, 6174, 6183, 6272, 6300, 6400, 6412, 6615, 6720, 6860, 6870, 6912, 7056, 7168, 7200, 7328, 7350, 7560, 7680, 7840, 8015, 8064, 8232, 8244, 8400, 8575, 8640, 8820, 8960, 9160, 9216, 9261, 9408, 9450, 9600, 9618, 9800, 10080, 10290, 10305, 10584, 10752, 10800, 10976, 10992, 11025, 11200, 11221, 11450, 11520, 11760, 12096, 12348, 12366, 12544, 12600, 12800, 12824, 13230, 13440, 13720, 13740, 13824, 14112, 14400, 14427, 14656, 14700, 15120, 15360, 15435, 15680, 16030, 16128, 16464, 16488, 16800, 17150, 17175, 17280, 17640, 17920, 18320, 18522, 18816, 18900, 19200, 19236, 19600, 20160, 20580, 20610, 21168, 21504, 21600, 21952, 21984, 22050, 22400, 22442, 22900, 23040, 23520, 24045, 24192, 24696, 24732, 25088, 25200, 25600, 25648, 25725, 26460, 26880, 27440, 27480, 27648, 28224, 28800, 28854, 29312, 29400, 30240, 30870, 30915, 31360, 32060, 32256, 32928, 32976, 33075, 33600, 33663, 34300, 34350, 34560, 35280, 35840, 36640, 37044, 37632, 37800, 38400, 38472, 39200, 40075, 40320, 41160, 41220, 42336, 43200, 43281, 43904, 43968, 44100, 44800, 44884, 45800, 46080, 46305, 47040, 48090, 48384, 49392, 49464, 50176, 50400, 51296, 51450, 51525, 52920, 53760, 54880, 54960, 56105, 56448, 57600, 57708, 58624, 58800, 60480, 61740, 61830, 62720, 64120, 64512, 65856, 65952, 66150, 67200, 67326, 68600, 68700, 69120, 70560, 72135, 73280, 74088, 75264, 75600, 76800, 76944, 77175, 78400, 78547, 80150, 80640, 82320, 82440, 84672, 86400, 86562, 87808, 87936, 88200, 89600, 89768, 91600, 92610, 94080, 96180, 96768, 98784, 98928, 100800, 100989, 102592, 102900, 103050, 105840, 107520, 109760, 109920, 112210, 112896, 115200, 115416, 117248, 117600, 120225, 120960, 123480, 123660, 125440, 128240, 131712, 131904, 132300, 134400, 134652, 137200, 137400, 138240, 141120, 144270, 146560, 148176, 150528, 151200, 153888, 154350, 154575, 156800, 157094, 160300, 161280, 164640, 164880, 168315, 169344, 172800, 173124, 175616, 175872, 176400, 179200, 179536, 183200, 185220, 188160, 192360, 193536, 197568, 197856, 201600, 201978, 205184, 205800, 206100, 211680, 216405, 219520, 219840, 224420, 225792, 230400, 230832, 231525, 234496, 235200, 235641, 240450, 241920, 246960, 247320, 250880, 256480, 263424, 263808, 264600, 268800, 269304, 274400, 274800, 280525, 282240, 288540, 293120, 296352, 302400, 302967, 307776, 308700, 309150, 313600, 314188, 320600, 322560, 329280, 329760, 336630, 338688, 345600, 346248, 351232, 351744, 352800, 359072, 360675, 366400, 370440, 376320, 384720, 392735, 395136, 395712, 403200, 403956, 410368, 411600, 412200, 423360, 432810, 439040, 439680, 448840, 451584, 461664, 463050, 470400, 471282, 480900, 483840, 493920, 494640, 504945, 512960, 526848, 527616, 529200, 537600, 538608, 548800, 549600, 561050, 564480, 577080, 586240, 592704, 604800, 605934, 615552, 617400, 618300, 627200, 628376, 641200, 658560, 659520, 673260, 677376, 691200, 692496, 703488, 705600, 706923, 718144, 721350, 732800, 740880, 752640, 769440, 785470, 790272, 791424, 806400, 807912, 820736, 823200, 824400, 841575, 846720, 865620, 878080, 879360, 897680, 923328, 926100, 940800, 942564, 961800, 967680, 987840, 989280, 1009890, 1025920, 1053696, 1055232, 1058400, 1077216, 1082025, 1097600, 1099200, 1122100, 1128960, 1154160, 1172480, 1178205, 1185408, 1209600, 1211868, 1231104, 1234800, 1236600, 1254400, 1256752, 1282400, 1317120, 1319040, 1346520, 1354752, 1384992, 1411200, 1413846, 1436288, 1442700, 1465600, 1481760, 1514835, 1538880, 1570940, 1580544, 1582848, 1612800, 1615824, 1641472, 1646400, 1648800, 1683150, 1693440, 1731240, 1756160, 1758720, 1795360, 1846656, 1852200, 1881600, 1885128, 1923600, 1963675, 1975680, 1978560, 2019780, 2051840, 2110464, 2116800, 2120769, 2154432, 2164050, 2195200, 2198400, 2244200, 2257920, 2308320, 2356410, 2370816, 2419200, 2423736, 2462208, 2469600, 2473200, 2513504, 2524725, 2564800, 2634240, 2638080, 2693040, 2769984, 2822400, 2827692, 2872576, 2885400, 2931200, 2963520, 3029670, 3077760, 3141880, 3161088, 3165696, 3231648, 3292800, 3297600, 3366300, 3386880, 3462480, 3517440, 3534615, 3590720, 3693312, 3704400, 3763200, 3770256, 3847200, 3927350, 3951360, 3957120, 4039560, 4103680, 4233600, 4241538, 4308864, 4328100, 4390400, 4396800, 4488400, 4616640, 4712820, 4741632, 4838400, 4847472, 4924416, 4939200, 4946400, 5027008, 5049450, 5129600, 5268480, 5276160, 5386080, 5539968, 5644800, 5655384, 5745152, 5770800, 5862400, 5891025, 5927040, 6059340, 6155520, 6283760, 6331392, 6463296, 6585600, 6595200, 6732600, 6773760, 6924960, 7069230, 7181440, 7386624, 7408800, 7540512, 7574175, 7694400, 7854700, 7902720, 7914240, 8079120, 8207360, 8467200, 8483076, 8617728, 8656200, 8780800, 8793600, 8976800, 9233280, 9425640, 9483264, 9694944, 9878400, 9892800, 10054016, 10098900, 10259200, 10552320, 10603845, 10772160, 11079936, 11289600, 11310768, 11490304, 11541600, 11782050, 11854080, 12118680, 12311040, 12567520, 12926592, 13171200, 13190400, 13465200, 13849920, 14138460, 14362880, 14773248, 14817600, 15081024, 15148350, 15388800, 15709400, 15805440, 15828480, 16158240, 16934400, 16966152, 17235456, 17312400, 17587200, 17673075, 17953600, 18466560, 18851280, 19389888, 19756800, 19785600, 20108032, 20197800, 20518400, 21207690, 21544320, 22159872, 22621536, 23083200, 23564100, 23708160, 24237360, 24622080, 25135040, 25853184, 26342400, 26380800, 26930400, 27699840, 28276920, 28725760, 29635200, 30162048, 30296700, 30777600, 31418800, 31656960, 32316480, 33868800, 33932304, 34470912, 34624800, 35346150, 35907200, 36933120, 37702560, 38779776, 39513600, 39571200, 40216064, 40395600, 41036800, 42415380, 43088640, 44319744, 45243072, 46166400, 47128200, 47416320, 48474720, 50270080, 51706368, 52761600, 53019225, 53860800, 55399680, 56553840, 57451520, 59270400, 60324096, 60593400, 61555200, 62837600, 64632960, 67864608, 69249600, 70692300, 71814400, 73866240, 75405120, 77559552, 79027200, 79142400, 80432128, 80791200, 84830760, 86177280, 90486144, 92332800, 94256400, 96949440, 100540160, 103412736, 106038450, 107721600, 110799360, 113107680, 118540800, 120648192, 121186800, 123110400, 125675200, 129265920, 135729216, 138499200, 141384600, 143628800, 150810240, 155119104, 158284800, 161582400, 169661520, 172354560, 180972288, 184665600, 188512800, 193898880, 201080320, 212076900, 215443200, 221598720, 226215360, 237081600, 241296384, 242373600, 251350400, 258531840, 271458432, 276998400, 282769200, 287257600, 301620480, 310238208, 323164800, 339323040, 361944576, 369331200, 377025600, 387797760, 402160640, 424153800, 430886400, 452430720, 484747200, 502700800, 517063680, 542916864, 553996800, 565538400, 603240960, 646329600, 678646080, 723889152, 754051200, 775595520, 848307600, 861772800, 904861440, 969494400, 1005401600, 1085833728, 1107993600, 1131076800, 1206481920, 1292659200, 1357292160, 1508102400, 1551191040, 1696615200, 1809722880, 1938988800, 2010803200, 2171667456, 2262153600, 2585318400, 2714584320, 3016204800, 3393230400, 3619445760, 3877977600, 4524307200, 5429168640, 6032409600, 6786460800, 7755955200, 9048614400, 10858337280, 13572921600, 18097228800, 27145843200, 54291686400]

約数ペア:

[(1, 54291686400), (2, 27145843200), (3, 18097228800), (4, 13572921600), (5, 10858337280), (6, 9048614400), (7, 7755955200), (8, 6786460800), (9, 6032409600), (10, 5429168640), (12, 4524307200), (14, 3877977600), (15, 3619445760), (16, 3393230400), (18, 3016204800), (20, 2714584320), (21, 2585318400), (24, 2262153600), (25, 2171667456), (27, 2010803200), (28, 1938988800), (30, 1809722880), (32, 1696615200), (35, 1551191040), (36, 1508102400), (40, 1357292160), (42, 1292659200), (45, 1206481920), (48, 1131076800), (49, 1107993600), (50, 1085833728), (54, 1005401600), (56, 969494400), (60, 904861440), (63, 861772800), (64, 848307600), (70, 775595520), (72, 754051200), (75, 723889152), (80, 678646080), (84, 646329600), (90, 603240960), (96, 565538400), (98, 553996800), (100, 542916864), (105, 517063680), (108, 502700800), (112, 484747200), (120, 452430720), (126, 430886400), (128, 424153800), (135, 402160640), (140, 387797760), (144, 377025600), (147, 369331200), (150, 361944576), (160, 339323040), (168, 323164800), (175, 310238208), (180, 301620480), (189, 287257600), (192, 282769200), (196, 276998400), (200, 271458432), (210, 258531840), (216, 251350400), (224, 242373600), (225, 241296384), (229, 237081600), (240, 226215360), (245, 221598720), (252, 215443200), (256, 212076900), (270, 201080320), (280, 193898880), (288, 188512800), (294, 184665600), (300, 180972288), (315, 172354560), (320, 169661520), (336, 161582400), (343, 158284800), (350, 155119104), (360, 150810240), (378, 143628800), (384, 141384600), (392, 138499200), (400, 135729216), (420, 129265920), (432, 125675200), (441, 123110400), (448, 121186800), (450, 120648192), (458, 118540800), (480, 113107680), (490, 110799360), (504, 107721600), (512, 106038450), (525, 103412736), (540, 100540160), (560, 96949440), (576, 94256400), (588, 92332800), (600, 90486144), (630, 86177280), (640, 84830760), (672, 80791200), (675, 80432128), (686, 79142400), (687, 79027200), (700, 77559552), (720, 75405120), (735, 73866240), (756, 71814400), (768, 70692300), (784, 69249600), (800, 67864608), (840, 64632960), (864, 62837600), (882, 61555200), (896, 60593400), (900, 60324096), (916, 59270400), (945, 57451520), (960, 56553840), (980, 55399680), (1008, 53860800), (1024, 53019225), (1029, 52761600), (1050, 51706368), (1080, 50270080), (1120, 48474720), (1145, 47416320), (1152, 47128200), (1176, 46166400), (1200, 45243072), (1225, 44319744), (1260, 43088640), (1280, 42415380), (1323, 41036800), (1344, 40395600), (1350, 40216064), (1372, 39571200), (1374, 39513600), (1400, 38779776), (1440, 37702560), (1470, 36933120), (1512, 35907200), (1536, 35346150), (1568, 34624800), (1575, 34470912), (1600, 33932304), (1603, 33868800), (1680, 32316480), (1715, 31656960), (1728, 31418800), (1764, 30777600), (1792, 30296700), (1800, 30162048), (1832, 29635200), (1890, 28725760), (1920, 28276920), (1960, 27699840), (2016, 26930400), (2058, 26380800), (2061, 26342400), (2100, 25853184), (2160, 25135040), (2205, 24622080), (2240, 24237360), (2290, 23708160), (2304, 23564100), (2352, 23083200), (2400, 22621536), (2450, 22159872), (2520, 21544320), (2560, 21207690), (2646, 20518400), (2688, 20197800), (2700, 20108032), (2744, 19785600), (2748, 19756800), (2800, 19389888), (2880, 18851280), (2940, 18466560), (3024, 17953600), (3072, 17673075), (3087, 17587200), (3136, 17312400), (3150, 17235456), (3200, 16966152), (3206, 16934400), (3360, 16158240), (3430, 15828480), (3435, 15805440), (3456, 15709400), (3528, 15388800), (3584, 15148350), (3600, 15081024), (3664, 14817600), (3675, 14773248), (3780, 14362880), (3840, 14138460), (3920, 13849920), (4032, 13465200), (4116, 13190400), (4122, 13171200), (4200, 12926592), (4320, 12567520), (4410, 12311040), (4480, 12118680), (4580, 11854080), (4608, 11782050), (4704, 11541600), (4725, 11490304), (4800, 11310768), (4809, 11289600), (4900, 11079936), (5040, 10772160), (5120, 10603845), (5145, 10552320), (5292, 10259200), (5376, 10098900), (5400, 10054016), (5488, 9892800), (5496, 9878400), (5600, 9694944), (5725, 9483264), (5760, 9425640), (5880, 9233280), (6048, 8976800), (6174, 8793600), (6183, 8780800), (6272, 8656200), (6300, 8617728), (6400, 8483076), (6412, 8467200), (6615, 8207360), (6720, 8079120), (6860, 7914240), (6870, 7902720), (6912, 7854700), (7056, 7694400), (7168, 7574175), (7200, 7540512), (7328, 7408800), (7350, 7386624), (7560, 7181440), (7680, 7069230), (7840, 6924960), (8015, 6773760), (8064, 6732600), (8232, 6595200), (8244, 6585600), (8400, 6463296), (8575, 6331392), (8640, 6283760), (8820, 6155520), (8960, 6059340), (9160, 5927040), (9216, 5891025), (9261, 5862400), (9408, 5770800), (9450, 5745152), (9600, 5655384), (9618, 5644800), (9800, 5539968), (10080, 5386080), (10290, 5276160), (10305, 5268480), (10584, 5129600), (10752, 5049450), (10800, 5027008), (10976, 4946400), (10992, 4939200), (11025, 4924416), (11200, 4847472), (11221, 4838400), (11450, 4741632), (11520, 4712820), (11760, 4616640), (12096, 4488400), (12348, 4396800), (12366, 4390400), (12544, 4328100), (12600, 4308864), (12800, 4241538), (12824, 4233600), (13230, 4103680), (13440, 4039560), (13720, 3957120), (13740, 3951360), (13824, 3927350), (14112, 3847200), (14400, 3770256), (14427, 3763200), (14656, 3704400), (14700, 3693312), (15120, 3590720), (15360, 3534615), (15435, 3517440), (15680, 3462480), (16030, 3386880), (16128, 3366300), (16464, 3297600), (16488, 3292800), (16800, 3231648), (17150, 3165696), (17175, 3161088), (17280, 3141880), (17640, 3077760), (17920, 3029670), (18320, 2963520), (18522, 2931200), (18816, 2885400), (18900, 2872576), (19200, 2827692), (19236, 2822400), (19600, 2769984), (20160, 2693040), (20580, 2638080), (20610, 2634240), (21168, 2564800), (21504, 2524725), (21600, 2513504), (21952, 2473200), (21984, 2469600), (22050, 2462208), (22400, 2423736), (22442, 2419200), (22900, 2370816), (23040, 2356410), (23520, 2308320), (24045, 2257920), (24192, 2244200), (24696, 2198400), (24732, 2195200), (25088, 2164050), (25200, 2154432), (25600, 2120769), (25648, 2116800), (25725, 2110464), (26460, 2051840), (26880, 2019780), (27440, 1978560), (27480, 1975680), (27648, 1963675), (28224, 1923600), (28800, 1885128), (28854, 1881600), (29312, 1852200), (29400, 1846656), (30240, 1795360), (30870, 1758720), (30915, 1756160), (31360, 1731240), (32060, 1693440), (32256, 1683150), (32928, 1648800), (32976, 1646400), (33075, 1641472), (33600, 1615824), (33663, 1612800), (34300, 1582848), (34350, 1580544), (34560, 1570940), (35280, 1538880), (35840, 1514835), (36640, 1481760), (37044, 1465600), (37632, 1442700), (37800, 1436288), (38400, 1413846), (38472, 1411200), (39200, 1384992), (40075, 1354752), (40320, 1346520), (41160, 1319040), (41220, 1317120), (42336, 1282400), (43200, 1256752), (43281, 1254400), (43904, 1236600), (43968, 1234800), (44100, 1231104), (44800, 1211868), (44884, 1209600), (45800, 1185408), (46080, 1178205), (46305, 1172480), (47040, 1154160), (48090, 1128960), (48384, 1122100), (49392, 1099200), (49464, 1097600), (50176, 1082025), (50400, 1077216), (51296, 1058400), (51450, 1055232), (51525, 1053696), (52920, 1025920), (53760, 1009890), (54880, 989280), (54960, 987840), (56105, 967680), (56448, 961800), (57600, 942564), (57708, 940800), (58624, 926100), (58800, 923328), (60480, 897680), (61740, 879360), (61830, 878080), (62720, 865620), (64120, 846720), (64512, 841575), (65856, 824400), (65952, 823200), (66150, 820736), (67200, 807912), (67326, 806400), (68600, 791424), (68700, 790272), (69120, 785470), (70560, 769440), (72135, 752640), (73280, 740880), (74088, 732800), (75264, 721350), (75600, 718144), (76800, 706923), (76944, 705600), (77175, 703488), (78400, 692496), (78547, 691200), (80150, 677376), (80640, 673260), (82320, 659520), (82440, 658560), (84672, 641200), (86400, 628376), (86562, 627200), (87808, 618300), (87936, 617400), (88200, 615552), (89600, 605934), (89768, 604800), (91600, 592704), (92610, 586240), (94080, 577080), (96180, 564480), (96768, 561050), (98784, 549600), (98928, 548800), (100800, 538608), (100989, 537600), (102592, 529200), (102900, 527616), (103050, 526848), (105840, 512960), (107520, 504945), (109760, 494640), (109920, 493920), (112210, 483840), (112896, 480900), (115200, 471282), (115416, 470400), (117248, 463050), (117600, 461664), (120225, 451584), (120960, 448840), (123480, 439680), (123660, 439040), (125440, 432810), (128240, 423360), (131712, 412200), (131904, 411600), (132300, 410368), (134400, 403956), (134652, 403200), (137200, 395712), (137400, 395136), (138240, 392735), (141120, 384720), (144270, 376320), (146560, 370440), (148176, 366400), (150528, 360675), (151200, 359072), (153888, 352800), (154350, 351744), (154575, 351232), (156800, 346248), (157094, 345600), (160300, 338688), (161280, 336630), (164640, 329760), (164880, 329280), (168315, 322560), (169344, 320600), (172800, 314188), (173124, 313600), (175616, 309150), (175872, 308700), (176400, 307776), (179200, 302967), (179536, 302400), (183200, 296352), (185220, 293120), (188160, 288540), (192360, 282240), (193536, 280525), (197568, 274800), (197856, 274400), (201600, 269304), (201978, 268800), (205184, 264600), (205800, 263808), (206100, 263424), (211680, 256480), (216405, 250880), (219520, 247320), (219840, 246960), (224420, 241920), (225792, 240450), (230400, 235641), (230832, 235200), (231525, 234496)]