30064742400

素因数分解:

$2^{12}\times 3^1\times 5^2\times 7^1\times {\mathrm{11}}^1\times {\mathrm{31}}^1\times {\mathrm{41}}^1$

素因数の和:127

約数の個数: 1248

約数和(自身を含む): 131047612416

約数和(自身を除く): 100982870016

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 20, 21, 22, 24, 25, 28, 30, 31, 32, 33, 35, 40, 41, 42, 44, 48, 50, 55, 56, 60, 62, 64, 66, 70, 75, 77, 80, 82, 84, 88, 93, 96, 100, 105, 110, 112, 120, 123, 124, 128, 132, 140, 150, 154, 155, 160, 164, 165, 168, 175, 176, 186, 192, 200, 205, 210, 217, 220, 224, 231, 240, 246, 248, 256, 264, 275, 280, 287, 300, 308, 310, 320, 328, 330, 336, 341, 350, 352, 372, 384, 385, 400, 410, 420, 434, 440, 448, 451, 462, 465, 480, 492, 496, 512, 525, 528, 550, 560, 574, 600, 615, 616, 620, 640, 651, 656, 660, 672, 682, 700, 704, 744, 768, 770, 775, 800, 820, 825, 840, 861, 868, 880, 896, 902, 924, 930, 960, 984, 992, 1023, 1024, 1025, 1050, 1056, 1085, 1100, 1120, 1148, 1155, 1200, 1230, 1232, 1240, 1271, 1280, 1302, 1312, 1320, 1344, 1353, 1364, 1400, 1408, 1435, 1488, 1536, 1540, 1550, 1600, 1640, 1650, 1680, 1705, 1722, 1736, 1760, 1792, 1804, 1848, 1860, 1920, 1925, 1968, 1984, 2046, 2048, 2050, 2100, 2112, 2170, 2200, 2240, 2255, 2296, 2310, 2325, 2387, 2400, 2460, 2464, 2480, 2542, 2560, 2604, 2624, 2640, 2688, 2706, 2728, 2800, 2816, 2870, 2976, 3072, 3075, 3080, 3100, 3157, 3200, 3255, 3280, 3300, 3360, 3410, 3444, 3472, 3520, 3584, 3608, 3696, 3720, 3813, 3840, 3850, 3936, 3968, 4092, 4096, 4100, 4200, 4224, 4305, 4340, 4400, 4480, 4510, 4592, 4620, 4650, 4774, 4800, 4920, 4928, 4960, 5084, 5115, 5120, 5208, 5248, 5280, 5376, 5412, 5425, 5456, 5600, 5632, 5740, 5775, 5952, 6144, 6150, 6160, 6200, 6314, 6355, 6400, 6510, 6560, 6600, 6720, 6765, 6820, 6888, 6944, 7040, 7161, 7168, 7175, 7216, 7392, 7440, 7626, 7680, 7700, 7872, 7936, 8184, 8200, 8400, 8448, 8525, 8610, 8680, 8800, 8897, 8960, 9020, 9184, 9240, 9300, 9471, 9548, 9600, 9840, 9856, 9920, 10168, 10230, 10240, 10416, 10496, 10560, 10752, 10824, 10850, 10912, 11200, 11264, 11275, 11480, 11550, 11904, 11935, 12288, 12300, 12320, 12400, 12628, 12710, 12800, 13020, 13120, 13200, 13440, 13530, 13640, 13776, 13888, 13981, 14080, 14322, 14336, 14350, 14432, 14784, 14880, 15252, 15360, 15400, 15744, 15785, 15872, 16275, 16368, 16400, 16800, 16896, 17050, 17220, 17360, 17600, 17794, 17920, 18040, 18368, 18480, 18600, 18942, 19065, 19096, 19200, 19680, 19712, 19840, 20336, 20460, 20480, 20832, 20992, 21120, 21504, 21525, 21648, 21700, 21824, 22400, 22528, 22550, 22960, 23100, 23808, 23870, 24600, 24640, 24800, 25256, 25420, 25575, 25600, 26040, 26240, 26400, 26691, 26880, 27060, 27280, 27552, 27776, 27962, 28160, 28644, 28672, 28700, 28864, 29568, 29760, 30504, 30720, 30800, 31488, 31570, 31744, 31775, 32550, 32736, 32800, 33600, 33792, 33825, 34100, 34440, 34720, 35200, 35588, 35805, 35840, 36080, 36736, 36960, 37200, 37884, 38130, 38192, 38400, 39360, 39424, 39680, 40672, 40920, 41664, 41943, 41984, 42240, 43008, 43050, 43296, 43400, 43648, 44485, 44800, 45056, 45100, 45920, 46200, 47355, 47616, 47740, 49200, 49280, 49600, 50512, 50840, 51150, 51200, 52080, 52480, 52800, 53382, 53760, 54120, 54560, 55104, 55552, 55924, 56320, 57288, 57400, 57728, 59136, 59520, 59675, 61008, 61440, 61600, 62976, 63140, 63488, 63550, 65100, 65472, 65600, 67200, 67584, 67650, 68200, 68880, 69440, 69905, 70400, 71176, 71610, 71680, 72160, 73472, 73920, 74400, 75768, 76260, 76384, 76800, 78720, 78848, 78925, 79360, 81344, 81840, 83328, 83886, 83968, 84480, 86016, 86100, 86592, 86800, 87296, 88970, 89600, 90200, 91840, 92400, 94710, 95232, 95325, 95480, 97867, 98400, 98560, 99200, 101024, 101680, 102300, 102400, 104160, 104960, 105600, 106764, 107520, 108240, 109120, 110208, 111104, 111848, 112640, 114576, 114800, 115456, 118272, 119040, 119350, 122016, 123200, 125952, 126280, 126976, 127100, 130200, 130944, 131200, 133455, 134400, 135168, 135300, 136400, 137760, 138880, 139810, 140800, 142352, 143220, 143360, 144320, 146944, 147840, 148800, 151536, 152520, 152768, 153600, 157440, 157696, 157850, 158720, 162688, 163680, 166656, 167772, 167936, 168960, 172200, 173184, 173600, 174592, 177940, 179025, 179200, 180400, 183680, 184800, 189420, 190464, 190650, 190960, 195734, 196800, 197120, 198400, 202048, 203360, 204600, 208320, 209715, 209920, 211200, 213528, 215040, 216480, 218240, 220416, 222208, 222425, 223696, 225280, 229152, 229600, 230912, 236544, 236775, 238080, 238700, 244032, 246400, 251904, 252560, 254200, 260400, 261888, 262400, 266910, 268800, 270600, 272800, 275520, 277760, 279620, 281600, 284704, 286440, 288640, 293601, 293888, 295680, 297600, 303072, 305040, 305536, 307200, 314880, 315392, 315700, 317440, 325376, 327360, 333312, 335544, 337920, 344400, 346368, 347200, 349184, 349525, 355880, 358050, 358400, 360800, 367360, 369600, 378840, 380928, 381300, 381920, 391468, 393600, 394240, 396800, 404096, 406720, 409200, 416640, 419430, 419840, 422400, 427056, 430080, 432960, 436480, 440832, 444416, 444850, 447392, 458304, 459200, 461824, 473088, 473550, 476160, 477400, 488064, 489335, 492800, 503808, 505120, 508400, 520800, 523776, 524800, 533820, 537600, 541200, 545600, 551040, 555520, 559240, 563200, 569408, 572880, 577280, 587202, 587776, 591360, 595200, 606144, 610080, 611072, 629760, 631400, 634880, 650752, 654720, 666624, 667275, 671088, 675840, 688800, 692736, 694400, 698368, 699050, 711760, 716100, 716800, 721600, 734720, 739200, 757680, 762600, 763840, 782936, 787200, 788480, 793600, 808192, 813440, 818400, 833280, 838860, 839680, 844800, 854112, 865920, 872960, 881664, 888832, 889700, 894784, 916608, 918400, 923648, 946176, 947100, 952320, 954800, 976128, 978670, 985600, 1010240, 1016800, 1041600, 1047552, 1048575, 1049600, 1067640, 1075200, 1082400, 1091200, 1102080, 1111040, 1118480, 1126400, 1138816, 1145760, 1154560, 1174404, 1175552, 1182720, 1190400, 1212288, 1220160, 1222144, 1259520, 1262800, 1301504, 1309440, 1333248, 1334550, 1342176, 1377600, 1385472, 1388800, 1396736, 1398100, 1423520, 1432200, 1443200, 1468005, 1469440, 1478400, 1515360, 1525200, 1527680, 1565872, 1574400, 1576960, 1587200, 1616384, 1626880, 1636800, 1666560, 1677720, 1689600, 1708224, 1731840, 1745920, 1763328, 1779400, 1789568, 1833216, 1836800, 1847296, 1894200, 1904640, 1909600, 1952256, 1957340, 1971200, 2020480, 2033600, 2083200, 2095104, 2097150, 2099200, 2135280, 2150400, 2164800, 2182400, 2204160, 2222080, 2236960, 2277632, 2291520, 2309120, 2348808, 2365440, 2380800, 2424576, 2440320, 2444288, 2446675, 2519040, 2525600, 2603008, 2618880, 2666496, 2669100, 2684352, 2755200, 2770944, 2777600, 2796200, 2847040, 2864400, 2886400, 2936010, 2938880, 2956800, 3030720, 3050400, 3055360, 3131744, 3148800, 3174400, 3232768, 3253760, 3273600, 3333120, 3355440, 3379200, 3416448, 3463680, 3491840, 3526656, 3558800, 3579136, 3666432, 3673600, 3788400, 3819200, 3904512, 3914680, 3942400, 4040960, 4067200, 4166400, 4190208, 4194300, 4198400, 4270560, 4329600, 4364800, 4408320, 4444160, 4473920, 4555264, 4583040, 4618240, 4697616, 4730880, 4761600, 4849152, 4880640, 4888576, 4893350, 5051200, 5206016, 5237760, 5338200, 5368704, 5510400, 5541888, 5555200, 5592400, 5694080, 5728800, 5772800, 5872020, 5877760, 5913600, 6061440, 6100800, 6110720, 6263488, 6297600, 6465536, 6507520, 6547200, 6666240, 6710880, 6832896, 6927360, 6983680, 7117600, 7158272, 7332864, 7340025, 7347200, 7576800, 7638400, 7809024, 7829360, 7884800, 8081920, 8134400, 8332800, 8388600, 8541120, 8659200, 8729600, 8816640, 8947840, 9110528, 9166080, 9236480, 9395232, 9523200, 9698304, 9761280, 9777152, 9786700, 10102400, 10475520, 10676400, 10737408, 11020800, 11110400, 11184800, 11388160, 11457600, 11545600, 11744040, 11827200, 12122880, 12201600, 12221440, 12526976, 12595200, 12931072, 13015040, 13094400, 13332480, 13421760, 13665792, 13854720, 14235200, 14316544, 14665728, 14680050, 14694400, 15153600, 15276800, 15618048, 15658720, 16163840, 16268800, 16665600, 16777200, 17082240, 17318400, 17459200, 17633280, 17895680, 18221056, 18332160, 18790464, 19396608, 19522560, 19573400, 20204800, 20951040, 21352800, 21474816, 22041600, 22220800, 22369600, 22776320, 22915200, 23091200, 23488080, 23654400, 24245760, 24403200, 24442880, 25053952, 26030080, 26188800, 26843520, 27331584, 27709440, 28470400, 28633088, 29331456, 29360100, 29388800, 30307200, 30553600, 31317440, 32327680, 32537600, 33331200, 33554400, 34164480, 34636800, 34918400, 35791360, 36442112, 36664320, 37580928, 38793216, 39045120, 39146800, 40409600, 42705600, 42949632, 44083200, 44739200, 45552640, 45830400, 46182400, 46976160, 48491520, 48806400, 48885760, 50107904, 52377600, 53687040, 54663168, 56940800, 57266176, 58720200, 60614400, 61107200, 62634880, 64655360, 65075200, 66662400, 67108800, 68328960, 69273600, 71582720, 73328640, 75161856, 78090240, 78293600, 80819200, 85411200, 85899264, 88166400, 89478400, 91105280, 91660800, 93952320, 96983040, 97612800, 100215808, 104755200, 107374080, 109326336, 113881600, 117440400, 121228800, 122214400, 125269760, 130150400, 134217600, 136657920, 138547200, 143165440, 146657280, 150323712, 156587200, 161638400, 170822400, 171798528, 178956800, 182210560, 183321600, 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約数ペア:

[(1, 30064742400), (2, 15032371200), (3, 10021580800), (4, 7516185600), (5, 6012948480), (6, 5010790400), (7, 4294963200), (8, 3758092800), (10, 3006474240), (11, 2733158400), (12, 2505395200), (14, 2147481600), (15, 2004316160), (16, 1879046400), (20, 1503237120), (21, 1431654400), (22, 1366579200), (24, 1252697600), (25, 1202589696), (28, 1073740800), (30, 1002158080), (31, 969830400), (32, 939523200), (33, 911052800), (35, 858992640), (40, 751618560), (41, 733286400), (42, 715827200), (44, 683289600), (48, 626348800), (50, 601294848), (55, 546631680), (56, 536870400), (60, 501079040), (62, 484915200), (64, 469761600), (66, 455526400), (70, 429496320), (75, 400863232), (77, 390451200), (80, 375809280), (82, 366643200), (84, 357913600), (88, 341644800), (93, 323276800), (96, 313174400), (100, 300647424), (105, 286330880), (110, 273315840), (112, 268435200), (120, 250539520), (123, 244428800), (124, 242457600), (128, 234880800), (132, 227763200), (140, 214748160), (150, 200431616), (154, 195225600), (155, 193966080), (160, 187904640), (164, 183321600), (165, 182210560), (168, 178956800), (175, 171798528), (176, 170822400), (186, 161638400), (192, 156587200), (200, 150323712), (205, 146657280), (210, 143165440), (217, 138547200), (220, 136657920), (224, 134217600), (231, 130150400), (240, 125269760), (246, 122214400), (248, 121228800), (256, 117440400), (264, 113881600), (275, 109326336), (280, 107374080), (287, 104755200), (300, 100215808), (308, 97612800), (310, 96983040), (320, 93952320), (328, 91660800), (330, 91105280), (336, 89478400), (341, 88166400), (350, 85899264), (352, 85411200), (372, 80819200), (384, 78293600), (385, 78090240), (400, 75161856), (410, 73328640), (420, 71582720), (434, 69273600), (440, 68328960), (448, 67108800), (451, 66662400), (462, 65075200), (465, 64655360), (480, 62634880), (492, 61107200), (496, 60614400), (512, 58720200), (525, 57266176), (528, 56940800), (550, 54663168), (560, 53687040), (574, 52377600), (600, 50107904), (615, 48885760), (616, 48806400), (620, 48491520), (640, 46976160), (651, 46182400), (656, 45830400), (660, 45552640), (672, 44739200), (682, 44083200), (700, 42949632), (704, 42705600), (744, 40409600), (768, 39146800), (770, 39045120), (775, 38793216), (800, 37580928), (820, 36664320), (825, 36442112), (840, 35791360), (861, 34918400), (868, 34636800), (880, 34164480), (896, 33554400), (902, 33331200), (924, 32537600), (930, 32327680), (960, 31317440), (984, 30553600), (992, 30307200), (1023, 29388800), (1024, 29360100), (1025, 29331456), (1050, 28633088), (1056, 28470400), (1085, 27709440), (1100, 27331584), (1120, 26843520), (1148, 26188800), (1155, 26030080), (1200, 25053952), (1230, 24442880), (1232, 24403200), (1240, 24245760), (1271, 23654400), (1280, 23488080), (1302, 23091200), (1312, 22915200), (1320, 22776320), (1344, 22369600), (1353, 22220800), (1364, 22041600), (1400, 21474816), (1408, 21352800), (1435, 20951040), (1488, 20204800), (1536, 19573400), (1540, 19522560), (1550, 19396608), (1600, 18790464), (1640, 18332160), (1650, 18221056), (1680, 17895680), (1705, 17633280), (1722, 17459200), (1736, 17318400), (1760, 17082240), (1792, 16777200), (1804, 16665600), (1848, 16268800), (1860, 16163840), (1920, 15658720), (1925, 15618048), (1968, 15276800), (1984, 15153600), (2046, 14694400), (2048, 14680050), (2050, 14665728), (2100, 14316544), (2112, 14235200), (2170, 13854720), (2200, 13665792), (2240, 13421760), (2255, 13332480), (2296, 13094400), (2310, 13015040), (2325, 12931072), (2387, 12595200), (2400, 12526976), (2460, 12221440), (2464, 12201600), (2480, 12122880), (2542, 11827200), (2560, 11744040), (2604, 11545600), (2624, 11457600), (2640, 11388160), (2688, 11184800), (2706, 11110400), (2728, 11020800), (2800, 10737408), (2816, 10676400), (2870, 10475520), (2976, 10102400), (3072, 9786700), (3075, 9777152), (3080, 9761280), (3100, 9698304), (3157, 9523200), (3200, 9395232), (3255, 9236480), (3280, 9166080), (3300, 9110528), (3360, 8947840), (3410, 8816640), (3444, 8729600), (3472, 8659200), (3520, 8541120), (3584, 8388600), (3608, 8332800), (3696, 8134400), (3720, 8081920), (3813, 7884800), (3840, 7829360), (3850, 7809024), (3936, 7638400), (3968, 7576800), (4092, 7347200), (4096, 7340025), (4100, 7332864), (4200, 7158272), (4224, 7117600), (4305, 6983680), (4340, 6927360), (4400, 6832896), (4480, 6710880), (4510, 6666240), (4592, 6547200), (4620, 6507520), (4650, 6465536), (4774, 6297600), (4800, 6263488), (4920, 6110720), (4928, 6100800), (4960, 6061440), (5084, 5913600), (5115, 5877760), (5120, 5872020), (5208, 5772800), (5248, 5728800), (5280, 5694080), (5376, 5592400), (5412, 5555200), (5425, 5541888), (5456, 5510400), (5600, 5368704), (5632, 5338200), (5740, 5237760), (5775, 5206016), (5952, 5051200), (6144, 4893350), (6150, 4888576), (6160, 4880640), (6200, 4849152), (6314, 4761600), (6355, 4730880), (6400, 4697616), (6510, 4618240), (6560, 4583040), (6600, 4555264), (6720, 4473920), (6765, 4444160), (6820, 4408320), (6888, 4364800), (6944, 4329600), (7040, 4270560), (7161, 4198400), (7168, 4194300), (7175, 4190208), (7216, 4166400), (7392, 4067200), (7440, 4040960), (7626, 3942400), (7680, 3914680), (7700, 3904512), (7872, 3819200), (7936, 3788400), (8184, 3673600), (8200, 3666432), (8400, 3579136), (8448, 3558800), (8525, 3526656), (8610, 3491840), (8680, 3463680), (8800, 3416448), (8897, 3379200), (8960, 3355440), (9020, 3333120), (9184, 3273600), (9240, 3253760), (9300, 3232768), (9471, 3174400), (9548, 3148800), (9600, 3131744), (9840, 3055360), (9856, 3050400), (9920, 3030720), (10168, 2956800), (10230, 2938880), (10240, 2936010), (10416, 2886400), (10496, 2864400), (10560, 2847040), (10752, 2796200), (10824, 2777600), (10850, 2770944), (10912, 2755200), (11200, 2684352), (11264, 2669100), (11275, 2666496), (11480, 2618880), (11550, 2603008), (11904, 2525600), (11935, 2519040), (12288, 2446675), (12300, 2444288), (12320, 2440320), (12400, 2424576), (12628, 2380800), (12710, 2365440), (12800, 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