104509440000

素因数分解:

$2^{15}\times 3^6\times 5^4\times 7^1$

素因数の和:75

約数の個数: 1120

約数和(自身を含む): 447542709240

約数和(自身を除く): 343033269240

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, 50, 54, 56, 60, 63, 64, 70, 72, 75, 80, 81, 84, 90, 96, 100, 105, 108, 112, 120, 125, 126, 128, 135, 140, 144, 150, 160, 162, 168, 175, 180, 189, 192, 200, 210, 216, 224, 225, 240, 243, 250, 252, 256, 270, 280, 288, 300, 315, 320, 324, 336, 350, 360, 375, 378, 384, 400, 405, 420, 432, 448, 450, 480, 486, 500, 504, 512, 525, 540, 560, 567, 576, 600, 625, 630, 640, 648, 672, 675, 700, 720, 729, 750, 756, 768, 800, 810, 840, 864, 875, 896, 900, 945, 960, 972, 1000, 1008, 1024, 1050, 1080, 1120, 1125, 1134, 1152, 1200, 1215, 1250, 1260, 1280, 1296, 1344, 1350, 1400, 1440, 1458, 1500, 1512, 1536, 1575, 1600, 1620, 1680, 1701, 1728, 1750, 1792, 1800, 1875, 1890, 1920, 1944, 2000, 2016, 2025, 2048, 2100, 2160, 2240, 2250, 2268, 2304, 2400, 2430, 2500, 2520, 2560, 2592, 2625, 2688, 2700, 2800, 2835, 2880, 2916, 3000, 3024, 3072, 3150, 3200, 3240, 3360, 3375, 3402, 3456, 3500, 3584, 3600, 3645, 3750, 3780, 3840, 3888, 4000, 4032, 4050, 4096, 4200, 4320, 4375, 4480, 4500, 4536, 4608, 4725, 4800, 4860, 5000, 5040, 5103, 5120, 5184, 5250, 5376, 5400, 5600, 5625, 5670, 5760, 5832, 6000, 6048, 6075, 6144, 6300, 6400, 6480, 6720, 6750, 6804, 6912, 7000, 7168, 7200, 7290, 7500, 7560, 7680, 7776, 7875, 8000, 8064, 8100, 8192, 8400, 8505, 8640, 8750, 8960, 9000, 9072, 9216, 9450, 9600, 9720, 10000, 10080, 10125, 10206, 10240, 10368, 10500, 10752, 10800, 11200, 11250, 11340, 11520, 11664, 12000, 12096, 12150, 12288, 12600, 12800, 12960, 13125, 13440, 13500, 13608, 13824, 14000, 14175, 14336, 14400, 14580, 15000, 15120, 15360, 15552, 15750, 16000, 16128, 16200, 16384, 16800, 16875, 17010, 17280, 17500, 17920, 18000, 18144, 18225, 18432, 18900, 19200, 19440, 20000, 20160, 20250, 20412, 20480, 20736, 21000, 21504, 21600, 22400, 22500, 22680, 23040, 23328, 23625, 24000, 24192, 24300, 24576, 25200, 25515, 25600, 25920, 26250, 26880, 27000, 27216, 27648, 28000, 28350, 28672, 28800, 29160, 30000, 30240, 30375, 30720, 31104, 31500, 32000, 32256, 32400, 32768, 33600, 33750, 34020, 34560, 35000, 35840, 36000, 36288, 36450, 36864, 37800, 38400, 38880, 39375, 40000, 40320, 40500, 40824, 40960, 41472, 42000, 42525, 43008, 43200, 44800, 45000, 45360, 46080, 46656, 47250, 48000, 48384, 48600, 49152, 50400, 50625, 51030, 51200, 51840, 52500, 53760, 54000, 54432, 55296, 56000, 56700, 57344, 57600, 58320, 60000, 60480, 60750, 61440, 62208, 63000, 64000, 64512, 64800, 67200, 67500, 68040, 69120, 70000, 70875, 71680, 72000, 72576, 72900, 73728, 75600, 76800, 77760, 78750, 80000, 80640, 81000, 81648, 81920, 82944, 84000, 85050, 86016, 86400, 89600, 90000, 90720, 91125, 92160, 93312, 94500, 96000, 96768, 97200, 98304, 100800, 101250, 102060, 102400, 103680, 105000, 107520, 108000, 108864, 110592, 112000, 113400, 114688, 115200, 116640, 118125, 120000, 120960, 121500, 122880, 124416, 126000, 127575, 128000, 129024, 129600, 134400, 135000, 136080, 138240, 140000, 141750, 143360, 144000, 145152, 145800, 147456, 151200, 151875, 153600, 155520, 157500, 160000, 161280, 162000, 163296, 163840, 165888, 168000, 170100, 172032, 172800, 179200, 180000, 181440, 182250, 184320, 186624, 189000, 192000, 193536, 194400, 201600, 202500, 204120, 204800, 207360, 210000, 212625, 215040, 216000, 217728, 221184, 224000, 226800, 229376, 230400, 233280, 236250, 240000, 241920, 243000, 245760, 248832, 252000, 255150, 256000, 258048, 259200, 268800, 270000, 272160, 276480, 280000, 283500, 286720, 288000, 290304, 291600, 294912, 302400, 303750, 307200, 311040, 315000, 320000, 322560, 324000, 326592, 331776, 336000, 340200, 344064, 345600, 354375, 358400, 360000, 362880, 364500, 368640, 373248, 378000, 384000, 387072, 388800, 403200, 405000, 408240, 409600, 414720, 420000, 425250, 430080, 432000, 435456, 442368, 448000, 453600, 455625, 460800, 466560, 472500, 480000, 483840, 486000, 491520, 497664, 504000, 510300, 512000, 516096, 518400, 537600, 540000, 544320, 552960, 560000, 567000, 573440, 576000, 580608, 583200, 604800, 607500, 614400, 622080, 630000, 637875, 640000, 645120, 648000, 653184, 663552, 672000, 680400, 688128, 691200, 708750, 716800, 720000, 725760, 729000, 737280, 746496, 756000, 768000, 774144, 777600, 806400, 810000, 816480, 819200, 829440, 840000, 850500, 860160, 864000, 870912, 884736, 896000, 907200, 911250, 921600, 933120, 945000, 960000, 967680, 972000, 995328, 1008000, 1020600, 1024000, 1032192, 1036800, 1063125, 1075200, 1080000, 1088640, 1105920, 1120000, 1134000, 1146880, 1152000, 1161216, 1166400, 1209600, 1215000, 1228800, 1244160, 1260000, 1275750, 1280000, 1290240, 1296000, 1306368, 1327104, 1344000, 1360800, 1382400, 1417500, 1433600, 1440000, 1451520, 1458000, 1474560, 1492992, 1512000, 1536000, 1548288, 1555200, 1612800, 1620000, 1632960, 1658880, 1680000, 1701000, 1720320, 1728000, 1741824, 1792000, 1814400, 1822500, 1843200, 1866240, 1890000, 1920000, 1935360, 1944000, 1990656, 2016000, 2041200, 2048000, 2064384, 2073600, 2126250, 2150400, 2160000, 2177280, 2211840, 2240000, 2268000, 2304000, 2322432, 2332800, 2419200, 2430000, 2457600, 2488320, 2520000, 2551500, 2560000, 2580480, 2592000, 2612736, 2654208, 2688000, 2721600, 2764800, 2835000, 2867200, 2880000, 2903040, 2916000, 2985984, 3024000, 3072000, 3096576, 3110400, 3189375, 3225600, 3240000, 3265920, 3317760, 3360000, 3402000, 3440640, 3456000, 3483648, 3584000, 3628800, 3645000, 3686400, 3732480, 3780000, 3840000, 3870720, 3888000, 3981312, 4032000, 4082400, 4096000, 4147200, 4252500, 4300800, 4320000, 4354560, 4423680, 4480000, 4536000, 4608000, 4644864, 4665600, 4838400, 4860000, 4976640, 5040000, 5103000, 5120000, 5160960, 5184000, 5225472, 5376000, 5443200, 5529600, 5670000, 5734400, 5760000, 5806080, 5832000, 5971968, 6048000, 6144000, 6193152, 6220800, 6378750, 6451200, 6480000, 6531840, 6635520, 6720000, 6804000, 6912000, 6967296, 7168000, 7257600, 7290000, 7372800, 7464960, 7560000, 7680000, 7741440, 7776000, 7962624, 8064000, 8164800, 8294400, 8505000, 8601600, 8640000, 8709120, 8960000, 9072000, 9216000, 9289728, 9331200, 9676800, 9720000, 9953280, 10080000, 10206000, 10240000, 10321920, 10368000, 10450944, 10752000, 10886400, 11059200, 11340000, 11520000, 11612160, 11664000, 11943936, 12096000, 12288000, 12441600, 12757500, 12902400, 12960000, 13063680, 13271040, 13440000, 13608000, 13824000, 13934592, 14336000, 14515200, 14580000, 14929920, 15120000, 15360000, 15482880, 15552000, 16128000, 16329600, 16588800, 17010000, 17203200, 17280000, 17418240, 17920000, 18144000, 18432000, 18579456, 18662400, 19353600, 19440000, 19906560, 20160000, 20412000, 20480000, 20736000, 20901888, 21504000, 21772800, 22118400, 22680000, 23040000, 23224320, 23328000, 23887872, 24192000, 24883200, 25515000, 25804800, 25920000, 26127360, 26880000, 27216000, 27648000, 27869184, 28672000, 29030400, 29160000, 29859840, 30240000, 30720000, 30965760, 31104000, 32256000, 32659200, 33177600, 34020000, 34560000, 34836480, 35840000, 36288000, 36864000, 37324800, 38707200, 38880000, 39813120, 40320000, 40824000, 41472000, 41803776, 43008000, 43545600, 45360000, 46080000, 46448640, 46656000, 48384000, 49766400, 51030000, 51609600, 51840000, 52254720, 53760000, 54432000, 55296000, 55738368, 58060800, 58320000, 59719680, 60480000, 61440000, 62208000, 64512000, 65318400, 66355200, 68040000, 69120000, 69672960, 71680000, 72576000, 74649600, 77414400, 77760000, 80640000, 81648000, 82944000, 83607552, 86016000, 87091200, 90720000, 92160000, 92897280, 93312000, 96768000, 99532800, 102060000, 103680000, 104509440, 107520000, 108864000, 110592000, 116121600, 116640000, 119439360, 120960000, 124416000, 129024000, 130636800, 136080000, 138240000, 139345920, 143360000, 145152000, 149299200, 154828800, 155520000, 161280000, 163296000, 165888000, 167215104, 174182400, 181440000, 184320000, 186624000, 193536000, 199065600, 204120000, 207360000, 209018880, 215040000, 217728000, 232243200, 233280000, 241920000, 248832000, 258048000, 261273600, 272160000, 276480000, 278691840, 290304000, 298598400, 311040000, 322560000, 326592000, 331776000, 348364800, 362880000, 373248000, 387072000, 408240000, 414720000, 418037760, 430080000, 435456000, 464486400, 466560000, 483840000, 497664000, 522547200, 544320000, 552960000, 580608000, 597196800, 622080000, 645120000, 653184000, 696729600, 725760000, 746496000, 774144000, 816480000, 829440000, 836075520, 870912000, 933120000, 967680000, 995328000, 1045094400, 1088640000, 1161216000, 1244160000, 1290240000, 1306368000, 1393459200, 1451520000, 1492992000, 1632960000, 1658880000, 1741824000, 1866240000, 1935360000, 2090188800, 2177280000, 2322432000, 2488320000, 2612736000, 2903040000, 2985984000, 3265920000, 3483648000, 3732480000, 3870720000, 4180377600, 4354560000, 4976640000, 5225472000, 5806080000, 6531840000, 6967296000, 7464960000, 8709120000, 10450944000, 11612160000, 13063680000, 14929920000, 17418240000, 20901888000, 26127360000, 34836480000, 52254720000, 104509440000]

約数ペア:

[(1, 104509440000), (2, 52254720000), (3, 34836480000), (4, 26127360000), (5, 20901888000), (6, 17418240000), (7, 14929920000), (8, 13063680000), (9, 11612160000), (10, 10450944000), (12, 8709120000), (14, 7464960000), (15, 6967296000), (16, 6531840000), (18, 5806080000), (20, 5225472000), (21, 4976640000), (24, 4354560000), (25, 4180377600), (27, 3870720000), (28, 3732480000), (30, 3483648000), (32, 3265920000), (35, 2985984000), (36, 2903040000), (40, 2612736000), (42, 2488320000), (45, 2322432000), (48, 2177280000), (50, 2090188800), (54, 1935360000), (56, 1866240000), (60, 1741824000), (63, 1658880000), (64, 1632960000), (70, 1492992000), (72, 1451520000), (75, 1393459200), (80, 1306368000), (81, 1290240000), (84, 1244160000), (90, 1161216000), (96, 1088640000), (100, 1045094400), (105, 995328000), (108, 967680000), (112, 933120000), (120, 870912000), (125, 836075520), (126, 829440000), (128, 816480000), (135, 774144000), (140, 746496000), (144, 725760000), (150, 696729600), (160, 653184000), (162, 645120000), (168, 622080000), (175, 597196800), (180, 580608000), (189, 552960000), (192, 544320000), (200, 522547200), (210, 497664000), (216, 483840000), (224, 466560000), (225, 464486400), (240, 435456000), (243, 430080000), (250, 418037760), (252, 414720000), (256, 408240000), (270, 387072000), (280, 373248000), (288, 362880000), (300, 348364800), (315, 331776000), (320, 326592000), (324, 322560000), (336, 311040000), (350, 298598400), (360, 290304000), (375, 278691840), (378, 276480000), (384, 272160000), (400, 261273600), (405, 258048000), (420, 248832000), (432, 241920000), (448, 233280000), (450, 232243200), (480, 217728000), (486, 215040000), (500, 209018880), (504, 207360000), (512, 204120000), (525, 199065600), (540, 193536000), (560, 186624000), (567, 184320000), (576, 181440000), (600, 174182400), (625, 167215104), (630, 165888000), (640, 163296000), (648, 161280000), (672, 155520000), (675, 154828800), (700, 149299200), (720, 145152000), (729, 143360000), (750, 139345920), (756, 138240000), (768, 136080000), (800, 130636800), (810, 129024000), (840, 124416000), (864, 120960000), (875, 119439360), (896, 116640000), (900, 116121600), (945, 110592000), (960, 108864000), (972, 107520000), (1000, 104509440), (1008, 103680000), (1024, 102060000), (1050, 99532800), (1080, 96768000), (1120, 93312000), (1125, 92897280), (1134, 92160000), (1152, 90720000), (1200, 87091200), (1215, 86016000), (1250, 83607552), (1260, 82944000), (1280, 81648000), (1296, 80640000), (1344, 77760000), (1350, 77414400), (1400, 74649600), (1440, 72576000), (1458, 71680000), (1500, 69672960), (1512, 69120000), (1536, 68040000), (1575, 66355200), (1600, 65318400), (1620, 64512000), (1680, 62208000), (1701, 61440000), (1728, 60480000), (1750, 59719680), (1792, 58320000), (1800, 58060800), (1875, 55738368), (1890, 55296000), (1920, 54432000), (1944, 53760000), (2000, 52254720), (2016, 51840000), (2025, 51609600), (2048, 51030000), (2100, 49766400), (2160, 48384000), (2240, 46656000), (2250, 46448640), (2268, 46080000), (2304, 45360000), (2400, 43545600), (2430, 43008000), (2500, 41803776), (2520, 41472000), (2560, 40824000), (2592, 40320000), (2625, 39813120), (2688, 38880000), (2700, 38707200), (2800, 37324800), (2835, 36864000), (2880, 36288000), (2916, 35840000), (3000, 34836480), (3024, 34560000), (3072, 34020000), (3150, 33177600), (3200, 32659200), (3240, 32256000), (3360, 31104000), (3375, 30965760), (3402, 30720000), (3456, 30240000), (3500, 29859840), (3584, 29160000), (3600, 29030400), (3645, 28672000), (3750, 27869184), (3780, 27648000), (3840, 27216000), (3888, 26880000), (4000, 26127360), (4032, 25920000), (4050, 25804800), (4096, 25515000), (4200, 24883200), (4320, 24192000), (4375, 23887872), (4480, 23328000), (4500, 23224320), (4536, 23040000), (4608, 22680000), (4725, 22118400), (4800, 21772800), (4860, 21504000), (5000, 20901888), (5040, 20736000), (5103, 20480000), (5120, 20412000), (5184, 20160000), (5250, 19906560), (5376, 19440000), (5400, 19353600), (5600, 18662400), (5625, 18579456), (5670, 18432000), (5760, 18144000), (5832, 17920000), (6000, 17418240), (6048, 17280000), (6075, 17203200), (6144, 17010000), (6300, 16588800), (6400, 16329600), (6480, 16128000), (6720, 15552000), (6750, 15482880), (6804, 15360000), (6912, 15120000), (7000, 14929920), (7168, 14580000), (7200, 14515200), (7290, 14336000), (7500, 13934592), (7560, 13824000), (7680, 13608000), (7776, 13440000), (7875, 13271040), (8000, 13063680), (8064, 12960000), (8100, 12902400), (8192, 12757500), (8400, 12441600), (8505, 12288000), (8640, 12096000), (8750, 11943936), (8960, 11664000), (9000, 11612160), (9072, 11520000), (9216, 11340000), (9450, 11059200), (9600, 10886400), (9720, 10752000), (10000, 10450944), (10080, 10368000), (10125, 10321920), (10206, 10240000), (10240, 10206000), (10368, 10080000), (10500, 9953280), (10752, 9720000), (10800, 9676800), (11200, 9331200), (11250, 9289728), (11340, 9216000), (11520, 9072000), (11664, 8960000), (12000, 8709120), (12096, 8640000), (12150, 8601600), (12288, 8505000), (12600, 8294400), (12800, 8164800), (12960, 8064000), (13125, 7962624), (13440, 7776000), (13500, 7741440), (13608, 7680000), (13824, 7560000), (14000, 7464960), (14175, 7372800), (14336, 7290000), (14400, 7257600), (14580, 7168000), (15000, 6967296), (15120, 6912000), (15360, 6804000), (15552, 6720000), (15750, 6635520), (16000, 6531840), (16128, 6480000), (16200, 6451200), (16384, 6378750), (16800, 6220800), (16875, 6193152), (17010, 6144000), (17280, 6048000), (17500, 5971968), (17920, 5832000), (18000, 5806080), (18144, 5760000), (18225, 5734400), (18432, 5670000), (18900, 5529600), (19200, 5443200), (19440, 5376000), (20000, 5225472), (20160, 5184000), (20250, 5160960), (20412, 5120000), (20480, 5103000), (20736, 5040000), (21000, 4976640), (21504, 4860000), (21600, 4838400), (22400, 4665600), (22500, 4644864), (22680, 4608000), (23040, 4536000), (23328, 4480000), (23625, 4423680), (24000, 4354560), (24192, 4320000), (24300, 4300800), (24576, 4252500), (25200, 4147200), (25515, 4096000), (25600, 4082400), (25920, 4032000), (26250, 3981312), (26880, 3888000), (27000, 3870720), (27216, 3840000), (27648, 3780000), (28000, 3732480), (28350, 3686400), (28672, 3645000), (28800, 3628800), (29160, 3584000), (30000, 3483648), (30240, 3456000), (30375, 3440640), (30720, 3402000), (31104, 3360000), (31500, 3317760), (32000, 3265920), (32256, 3240000), (32400, 3225600), (32768, 3189375), (33600, 3110400), (33750, 3096576), (34020, 3072000), (34560, 3024000), (35000, 2985984), (35840, 2916000), (36000, 2903040), (36288, 2880000), (36450, 2867200), (36864, 2835000), (37800, 2764800), (38400, 2721600), (38880, 2688000), (39375, 2654208), (40000, 2612736), (40320, 2592000), (40500, 2580480), (40824, 2560000), (40960, 2551500), (41472, 2520000), (42000, 2488320), (42525, 2457600), (43008, 2430000), (43200, 2419200), (44800, 2332800), (45000, 2322432), (45360, 2304000), (46080, 2268000), (46656, 2240000), (47250, 2211840), (48000, 2177280), (48384, 2160000), (48600, 2150400), (49152, 2126250), (50400, 2073600), (50625, 2064384), (51030, 2048000), (51200, 2041200), (51840, 2016000), (52500, 1990656), (53760, 1944000), (54000, 1935360), (54432, 1920000), (55296, 1890000), (56000, 1866240), (56700, 1843200), (57344, 1822500), (57600, 1814400), (58320, 1792000), (60000, 1741824), (60480, 1728000), (60750, 1720320), (61440, 1701000), (62208, 1680000), (63000, 1658880), (64000, 1632960), (64512, 1620000), (64800, 1612800), (67200, 1555200), (67500, 1548288), (68040, 1536000), (69120, 1512000), (70000, 1492992), (70875, 1474560), (71680, 1458000), (72000, 1451520), (72576, 1440000), (72900, 1433600), (73728, 1417500), (75600, 1382400), (76800, 1360800), (77760, 1344000), (78750, 1327104), (80000, 1306368), (80640, 1296000), (81000, 1290240), (81648, 1280000), (81920, 1275750), (82944, 1260000), (84000, 1244160), (85050, 1228800), (86016, 1215000), (86400, 1209600), (89600, 1166400), (90000, 1161216), (90720, 1152000), (91125, 1146880), (92160, 1134000), (93312, 1120000), (94500, 1105920), (96000, 1088640), (96768, 1080000), (97200, 1075200), (98304, 1063125), (100800, 1036800), (101250, 1032192), (102060, 1024000), (102400, 1020600), (103680, 1008000), (105000, 995328), (107520, 972000), (108000, 967680), (108864, 960000), (110592, 945000), (112000, 933120), (113400, 921600), (114688, 911250), (115200, 907200), (116640, 896000), (118125, 884736), (120000, 870912), (120960, 864000), (121500, 860160), (122880, 850500), (124416, 840000), (126000, 829440), (127575, 819200), (128000, 816480), (129024, 810000), (129600, 806400), (134400, 777600), (135000, 774144), (136080, 768000), (138240, 756000), (140000, 746496), (141750, 737280), (143360, 729000), (144000, 725760), (145152, 720000), (145800, 716800), (147456, 708750), (151200, 691200), (151875, 688128), (153600, 680400), (155520, 672000), (157500, 663552), (160000, 653184), (161280, 648000), (162000, 645120), (163296, 640000), (163840, 637875), (165888, 630000), (168000, 622080), (170100, 614400), (172032, 607500), (172800, 604800), (179200, 583200), (180000, 580608), (181440, 576000), (182250, 573440), (184320, 567000), (186624, 560000), (189000, 552960), (192000, 544320), (193536, 540000), (194400, 537600), (201600, 518400), (202500, 516096), (204120, 512000), (204800, 510300), (207360, 504000), (210000, 497664), (212625, 491520), (215040, 486000), (216000, 483840), (217728, 480000), (221184, 472500), (224000, 466560), (226800, 460800), (229376, 455625), (230400, 453600), (233280, 448000), (236250, 442368), (240000, 435456), (241920, 432000), (243000, 430080), (245760, 425250), (248832, 420000), (252000, 414720), (255150, 409600), (256000, 408240), (258048, 405000), (259200, 403200), (268800, 388800), (270000, 387072), (272160, 384000), (276480, 378000), (280000, 373248), (283500, 368640), (286720, 364500), (288000, 362880), (290304, 360000), (291600, 358400), (294912, 354375), (302400, 345600), (303750, 344064), (307200, 340200), (311040, 336000), (315000, 331776), (320000, 326592), (322560, 324000)]