19837440000

素因数分解:

$2^{12}\times 3^3\times 5^4\times 7^1\times {\mathrm{41}}^1$

素因数の和:101

約数の個数: 1040

約数和(自身を含む): 85977978240

約数和(自身を除く): 66140538240

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, 41, 42, 45, 48, 50, 54, 56, 60, 63, 64, 70, 72, 75, 80, 82, 84, 90, 96, 100, 105, 108, 112, 120, 123, 125, 126, 128, 135, 140, 144, 150, 160, 164, 168, 175, 180, 189, 192, 200, 205, 210, 216, 224, 225, 240, 246, 250, 252, 256, 270, 280, 287, 288, 300, 315, 320, 328, 336, 350, 360, 369, 375, 378, 384, 400, 410, 420, 432, 448, 450, 480, 492, 500, 504, 512, 525, 540, 560, 574, 576, 600, 615, 625, 630, 640, 656, 672, 675, 700, 720, 738, 750, 756, 768, 800, 820, 840, 861, 864, 875, 896, 900, 945, 960, 984, 1000, 1008, 1024, 1025, 1050, 1080, 1107, 1120, 1125, 1148, 1152, 1200, 1230, 1250, 1260, 1280, 1312, 1344, 1350, 1400, 1435, 1440, 1476, 1500, 1512, 1536, 1575, 1600, 1640, 1680, 1722, 1728, 1750, 1792, 1800, 1845, 1875, 1890, 1920, 1968, 2000, 2016, 2048, 2050, 2100, 2160, 2214, 2240, 2250, 2296, 2304, 2400, 2460, 2500, 2520, 2560, 2583, 2624, 2625, 2688, 2700, 2800, 2870, 2880, 2952, 3000, 3024, 3072, 3075, 3150, 3200, 3280, 3360, 3375, 3444, 3456, 3500, 3584, 3600, 3690, 3750, 3780, 3840, 3936, 4000, 4032, 4096, 4100, 4200, 4305, 4320, 4375, 4428, 4480, 4500, 4592, 4608, 4725, 4800, 4920, 5000, 5040, 5120, 5125, 5166, 5248, 5250, 5376, 5400, 5535, 5600, 5625, 5740, 5760, 5904, 6000, 6048, 6144, 6150, 6300, 6400, 6560, 6720, 6750, 6888, 6912, 7000, 7168, 7175, 7200, 7380, 7500, 7560, 7680, 7749, 7872, 7875, 8000, 8064, 8200, 8400, 8610, 8640, 8750, 8856, 8960, 9000, 9184, 9216, 9225, 9450, 9600, 9840, 10000, 10080, 10240, 10250, 10332, 10496, 10500, 10752, 10800, 11070, 11200, 11250, 11480, 11520, 11808, 12000, 12096, 12288, 12300, 12600, 12800, 12915, 13120, 13125, 13440, 13500, 13776, 13824, 14000, 14336, 14350, 14400, 14760, 15000, 15120, 15360, 15375, 15498, 15744, 15750, 16000, 16128, 16400, 16800, 16875, 17220, 17280, 17500, 17712, 17920, 18000, 18368, 18432, 18450, 18900, 19200, 19680, 20000, 20160, 20480, 20500, 20664, 20992, 21000, 21504, 21525, 21600, 22140, 22400, 22500, 22960, 23040, 23616, 23625, 24000, 24192, 24600, 25200, 25600, 25625, 25830, 26240, 26250, 26880, 27000, 27552, 27648, 27675, 28000, 28672, 28700, 28800, 29520, 30000, 30240, 30720, 30750, 30996, 31488, 31500, 32000, 32256, 32800, 33600, 33750, 34440, 34560, 35000, 35424, 35840, 35875, 36000, 36736, 36864, 36900, 37800, 38400, 38745, 39360, 39375, 40000, 40320, 41000, 41328, 41984, 42000, 43008, 43050, 43200, 44280, 44800, 45000, 45920, 46080, 46125, 47232, 47250, 48000, 48384, 49200, 50400, 51200, 51250, 51660, 52480, 52500, 53760, 54000, 55104, 55296, 55350, 56000, 57400, 57600, 59040, 60000, 60480, 61440, 61500, 61992, 62976, 63000, 64000, 64512, 64575, 65600, 67200, 67500, 68880, 69120, 70000, 70848, 71680, 71750, 72000, 73472, 73800, 75600, 76800, 76875, 77490, 78720, 78750, 80000, 80640, 82000, 82656, 83968, 84000, 86016, 86100, 86400, 88560, 89600, 90000, 91840, 92160, 92250, 94464, 94500, 96000, 96768, 98400, 100800, 102400, 102500, 103320, 104960, 105000, 107520, 107625, 108000, 110208, 110592, 110700, 112000, 114800, 115200, 118080, 118125, 120000, 120960, 123000, 123984, 125952, 126000, 128000, 129024, 129150, 131200, 134400, 135000, 137760, 138240, 138375, 140000, 141696, 143360, 143500, 144000, 146944, 147600, 151200, 153600, 153750, 154980, 157440, 157500, 160000, 161280, 164000, 165312, 167936, 168000, 172200, 172800, 177120, 179200, 179375, 180000, 183680, 184320, 184500, 188928, 189000, 192000, 193536, 193725, 196800, 201600, 205000, 206640, 209920, 210000, 215040, 215250, 216000, 220416, 221400, 224000, 229600, 230400, 230625, 236160, 236250, 240000, 241920, 246000, 247968, 251904, 252000, 256000, 258048, 258300, 262400, 268800, 270000, 275520, 276480, 276750, 280000, 283392, 287000, 288000, 293888, 295200, 302400, 307200, 307500, 309960, 314880, 315000, 320000, 322560, 322875, 328000, 330624, 336000, 344400, 345600, 354240, 358400, 358750, 360000, 367360, 369000, 377856, 378000, 384000, 387072, 387450, 393600, 403200, 410000, 413280, 419840, 420000, 430080, 430500, 432000, 440832, 442800, 448000, 459200, 460800, 461250, 472320, 472500, 480000, 483840, 492000, 495936, 503808, 504000, 512000, 516600, 524800, 537600, 538125, 540000, 551040, 552960, 553500, 560000, 566784, 574000, 576000, 587776, 590400, 604800, 615000, 619920, 629760, 630000, 640000, 645120, 645750, 656000, 661248, 672000, 688800, 691200, 691875, 708480, 716800, 717500, 720000, 734720, 738000, 755712, 756000, 768000, 774144, 774900, 787200, 806400, 820000, 826560, 839680, 840000, 861000, 864000, 881664, 885600, 896000, 918400, 921600, 922500, 944640, 945000, 960000, 967680, 968625, 984000, 991872, 1008000, 1033200, 1049600, 1075200, 1076250, 1080000, 1102080, 1107000, 1120000, 1133568, 1148000, 1152000, 1175552, 1180800, 1209600, 1230000, 1239840, 1259520, 1260000, 1280000, 1290240, 1291500, 1312000, 1322496, 1344000, 1377600, 1382400, 1383750, 1416960, 1435000, 1440000, 1469440, 1476000, 1511424, 1512000, 1536000, 1549800, 1574400, 1612800, 1614375, 1640000, 1653120, 1680000, 1722000, 1728000, 1763328, 1771200, 1792000, 1836800, 1845000, 1889280, 1890000, 1920000, 1935360, 1937250, 1968000, 1983744, 2016000, 2066400, 2099200, 2150400, 2152500, 2160000, 2204160, 2214000, 2240000, 2267136, 2296000, 2304000, 2361600, 2419200, 2460000, 2479680, 2519040, 2520000, 2560000, 2583000, 2624000, 2644992, 2688000, 2755200, 2764800, 2767500, 2833920, 2870000, 2880000, 2938880, 2952000, 3024000, 3099600, 3148800, 3225600, 3228750, 3280000, 3306240, 3360000, 3444000, 3456000, 3526656, 3542400, 3584000, 3673600, 3690000, 3778560, 3780000, 3840000, 3870720, 3874500, 3936000, 3967488, 4032000, 4132800, 4198400, 4305000, 4320000, 4408320, 4428000, 4480000, 4534272, 4592000, 4608000, 4723200, 4838400, 4843125, 4920000, 4959360, 5040000, 5166000, 5248000, 5289984, 5376000, 5510400, 5535000, 5667840, 5740000, 5760000, 5877760, 5904000, 6048000, 6199200, 6297600, 6451200, 6457500, 6560000, 6612480, 6720000, 6888000, 6912000, 7084800, 7347200, 7380000, 7557120, 7560000, 7680000, 7749000, 7872000, 7934976, 8064000, 8265600, 8610000, 8640000, 8816640, 8856000, 8960000, 9184000, 9446400, 9676800, 9686250, 9840000, 9918720, 10080000, 10332000, 10496000, 10579968, 10752000, 11020800, 11070000, 11335680, 11480000, 11520000, 11808000, 12096000, 12398400, 12595200, 12915000, 13120000, 13224960, 13440000, 13776000, 13824000, 14169600, 14694400, 14760000, 15120000, 15498000, 15744000, 15869952, 16128000, 16531200, 17220000, 17280000, 17633280, 17712000, 17920000, 18368000, 18892800, 19353600, 19372500, 19680000, 19837440, 20160000, 20664000, 20992000, 22041600, 22140000, 22671360, 22960000, 23040000, 23616000, 24192000, 24796800, 25830000, 26240000, 26449920, 26880000, 27552000, 28339200, 29388800, 29520000, 30240000, 30996000, 31488000, 31739904, 32256000, 33062400, 34440000, 34560000, 35424000, 36736000, 37785600, 38745000, 39360000, 39674880, 40320000, 41328000, 44083200, 44280000, 45920000, 47232000, 48384000, 49593600, 51660000, 52480000, 52899840, 53760000, 55104000, 56678400, 59040000, 60480000, 61992000, 62976000, 66124800, 68880000, 69120000, 70848000, 73472000, 77490000, 78720000, 79349760, 80640000, 82656000, 88166400, 88560000, 91840000, 94464000, 96768000, 99187200, 103320000, 104960000, 110208000, 113356800, 118080000, 120960000, 123984000, 132249600, 137760000, 141696000, 146944000, 154980000, 157440000, 158699520, 161280000, 165312000, 177120000, 183680000, 188928000, 198374400, 206640000, 220416000, 236160000, 241920000, 247968000, 264499200, 275520000, 283392000, 309960000, 314880000, 330624000, 354240000, 367360000, 396748800, 413280000, 440832000, 472320000, 483840000, 495936000, 551040000, 566784000, 619920000, 661248000, 708480000, 734720000, 793497600, 826560000, 944640000, 991872000, 1102080000, 1239840000, 1322496000, 1416960000, 1653120000, 1983744000, 2204160000, 2479680000, 2833920000, 3306240000, 3967488000, 4959360000, 6612480000, 9918720000, 19837440000]

約数ペア:

[(1, 19837440000), (2, 9918720000), (3, 6612480000), (4, 4959360000), (5, 3967488000), (6, 3306240000), (7, 2833920000), (8, 2479680000), (9, 2204160000), (10, 1983744000), (12, 1653120000), (14, 1416960000), (15, 1322496000), (16, 1239840000), (18, 1102080000), (20, 991872000), (21, 944640000), (24, 826560000), (25, 793497600), (27, 734720000), (28, 708480000), (30, 661248000), (32, 619920000), (35, 566784000), (36, 551040000), (40, 495936000), (41, 483840000), (42, 472320000), (45, 440832000), (48, 413280000), (50, 396748800), (54, 367360000), (56, 354240000), (60, 330624000), (63, 314880000), (64, 309960000), (70, 283392000), (72, 275520000), (75, 264499200), (80, 247968000), (82, 241920000), (84, 236160000), (90, 220416000), (96, 206640000), (100, 198374400), (105, 188928000), (108, 183680000), (112, 177120000), (120, 165312000), (123, 161280000), (125, 158699520), (126, 157440000), (128, 154980000), (135, 146944000), (140, 141696000), (144, 137760000), (150, 132249600), (160, 123984000), (164, 120960000), (168, 118080000), (175, 113356800), (180, 110208000), (189, 104960000), (192, 103320000), (200, 99187200), (205, 96768000), (210, 94464000), (216, 91840000), (224, 88560000), (225, 88166400), (240, 82656000), (246, 80640000), (250, 79349760), (252, 78720000), (256, 77490000), (270, 73472000), (280, 70848000), (287, 69120000), (288, 68880000), (300, 66124800), (315, 62976000), (320, 61992000), (328, 60480000), (336, 59040000), (350, 56678400), (360, 55104000), (369, 53760000), (375, 52899840), (378, 52480000), (384, 51660000), (400, 49593600), (410, 48384000), (420, 47232000), (432, 45920000), (448, 44280000), (450, 44083200), (480, 41328000), (492, 40320000), (500, 39674880), (504, 39360000), (512, 38745000), (525, 37785600), (540, 36736000), (560, 35424000), (574, 34560000), (576, 34440000), (600, 33062400), (615, 32256000), (625, 31739904), (630, 31488000), (640, 30996000), (656, 30240000), (672, 29520000), (675, 29388800), (700, 28339200), (720, 27552000), (738, 26880000), (750, 26449920), (756, 26240000), (768, 25830000), (800, 24796800), (820, 24192000), (840, 23616000), (861, 23040000), (864, 22960000), (875, 22671360), (896, 22140000), (900, 22041600), (945, 20992000), (960, 20664000), (984, 20160000), (1000, 19837440), (1008, 19680000), (1024, 19372500), (1025, 19353600), (1050, 18892800), (1080, 18368000), (1107, 17920000), (1120, 17712000), (1125, 17633280), (1148, 17280000), (1152, 17220000), (1200, 16531200), (1230, 16128000), (1250, 15869952), (1260, 15744000), (1280, 15498000), (1312, 15120000), (1344, 14760000), (1350, 14694400), (1400, 14169600), (1435, 13824000), (1440, 13776000), (1476, 13440000), (1500, 13224960), (1512, 13120000), (1536, 12915000), (1575, 12595200), (1600, 12398400), (1640, 12096000), (1680, 11808000), (1722, 11520000), (1728, 11480000), (1750, 11335680), (1792, 11070000), (1800, 11020800), (1845, 10752000), (1875, 10579968), (1890, 10496000), (1920, 10332000), (1968, 10080000), (2000, 9918720), (2016, 9840000), (2048, 9686250), (2050, 9676800), (2100, 9446400), (2160, 9184000), (2214, 8960000), (2240, 8856000), (2250, 8816640), (2296, 8640000), (2304, 8610000), (2400, 8265600), (2460, 8064000), (2500, 7934976), (2520, 7872000), (2560, 7749000), (2583, 7680000), (2624, 7560000), (2625, 7557120), (2688, 7380000), (2700, 7347200), (2800, 7084800), (2870, 6912000), (2880, 6888000), (2952, 6720000), (3000, 6612480), (3024, 6560000), (3072, 6457500), (3075, 6451200), (3150, 6297600), (3200, 6199200), (3280, 6048000), (3360, 5904000), (3375, 5877760), (3444, 5760000), (3456, 5740000), (3500, 5667840), (3584, 5535000), (3600, 5510400), (3690, 5376000), (3750, 5289984), (3780, 5248000), (3840, 5166000), (3936, 5040000), (4000, 4959360), (4032, 4920000), (4096, 4843125), (4100, 4838400), (4200, 4723200), (4305, 4608000), (4320, 4592000), (4375, 4534272), (4428, 4480000), (4480, 4428000), (4500, 4408320), (4592, 4320000), (4608, 4305000), (4725, 4198400), (4800, 4132800), (4920, 4032000), (5000, 3967488), (5040, 3936000), (5120, 3874500), (5125, 3870720), (5166, 3840000), (5248, 3780000), (5250, 3778560), (5376, 3690000), (5400, 3673600), (5535, 3584000), (5600, 3542400), (5625, 3526656), (5740, 3456000), (5760, 3444000), (5904, 3360000), (6000, 3306240), (6048, 3280000), (6144, 3228750), (6150, 3225600), (6300, 3148800), (6400, 3099600), (6560, 3024000), (6720, 2952000), (6750, 2938880), (6888, 2880000), (6912, 2870000), (7000, 2833920), (7168, 2767500), (7175, 2764800), (7200, 2755200), (7380, 2688000), (7500, 2644992), (7560, 2624000), (7680, 2583000), (7749, 2560000), (7872, 2520000), (7875, 2519040), (8000, 2479680), (8064, 2460000), (8200, 2419200), (8400, 2361600), (8610, 2304000), (8640, 2296000), (8750, 2267136), (8856, 2240000), (8960, 2214000), (9000, 2204160), (9184, 2160000), (9216, 2152500), (9225, 2150400), (9450, 2099200), (9600, 2066400), (9840, 2016000), (10000, 1983744), (10080, 1968000), (10240, 1937250), (10250, 1935360), (10332, 1920000), (10496, 1890000), (10500, 1889280), (10752, 1845000), (10800, 1836800), (11070, 1792000), (11200, 1771200), (11250, 1763328), (11480, 1728000), (11520, 1722000), (11808, 1680000), (12000, 1653120), (12096, 1640000), (12288, 1614375), (12300, 1612800), (12600, 1574400), (12800, 1549800), (12915, 1536000), (13120, 1512000), (13125, 1511424), (13440, 1476000), (13500, 1469440), (13776, 1440000), (13824, 1435000), (14000, 1416960), (14336, 1383750), (14350, 1382400), (14400, 1377600), (14760, 1344000), (15000, 1322496), (15120, 1312000), (15360, 1291500), (15375, 1290240), (15498, 1280000), (15744, 1260000), (15750, 1259520), (16000, 1239840), (16128, 1230000), (16400, 1209600), (16800, 1180800), (16875, 1175552), (17220, 1152000), (17280, 1148000), (17500, 1133568), (17712, 1120000), (17920, 1107000), (18000, 1102080), (18368, 1080000), (18432, 1076250), (18450, 1075200), (18900, 1049600), (19200, 1033200), (19680, 1008000), (20000, 991872), (20160, 984000), (20480, 968625), (20500, 967680), (20664, 960000), (20992, 945000), (21000, 944640), (21504, 922500), (21525, 921600), (21600, 918400), (22140, 896000), (22400, 885600), (22500, 881664), (22960, 864000), (23040, 861000), (23616, 840000), (23625, 839680), (24000, 826560), (24192, 820000), (24600, 806400), (25200, 787200), (25600, 774900), (25625, 774144), (25830, 768000), (26240, 756000), (26250, 755712), (26880, 738000), (27000, 734720), (27552, 720000), (27648, 717500), (27675, 716800), (28000, 708480), (28672, 691875), (28700, 691200), (28800, 688800), (29520, 672000), (30000, 661248), (30240, 656000), (30720, 645750), (30750, 645120), (30996, 640000), (31488, 630000), (31500, 629760), (32000, 619920), (32256, 615000), (32800, 604800), (33600, 590400), (33750, 587776), (34440, 576000), (34560, 574000), (35000, 566784), (35424, 560000), (35840, 553500), (35875, 552960), (36000, 551040), (36736, 540000), (36864, 538125), (36900, 537600), (37800, 524800), (38400, 516600), (38745, 512000), (39360, 504000), (39375, 503808), (40000, 495936), (40320, 492000), (41000, 483840), (41328, 480000), (41984, 472500), (42000, 472320), (43008, 461250), (43050, 460800), (43200, 459200), (44280, 448000), (44800, 442800), (45000, 440832), (45920, 432000), (46080, 430500), (46125, 430080), (47232, 420000), (47250, 419840), (48000, 413280), (48384, 410000), (49200, 403200), (50400, 393600), (51200, 387450), (51250, 387072), (51660, 384000), (52480, 378000), (52500, 377856), (53760, 369000), (54000, 367360), (55104, 360000), (55296, 358750), (55350, 358400), (56000, 354240), (57400, 345600), (57600, 344400), (59040, 336000), (60000, 330624), (60480, 328000), (61440, 322875), (61500, 322560), (61992, 320000), (62976, 315000), (63000, 314880), (64000, 309960), (64512, 307500), (64575, 307200), (65600, 302400), (67200, 295200), (67500, 293888), (68880, 288000), (69120, 287000), (70000, 283392), (70848, 280000), (71680, 276750), (71750, 276480), (72000, 275520), (73472, 270000), (73800, 268800), (75600, 262400), (76800, 258300), (76875, 258048), (77490, 256000), (78720, 252000), (78750, 251904), (80000, 247968), (80640, 246000), (82000, 241920), (82656, 240000), (83968, 236250), (84000, 236160), (86016, 230625), (86100, 230400), (86400, 229600), (88560, 224000), (89600, 221400), (90000, 220416), (91840, 216000), (92160, 215250), (92250, 215040), (94464, 210000), (94500, 209920), (96000, 206640), (96768, 205000), (98400, 201600), (100800, 196800), (102400, 193725), (102500, 193536), (103320, 192000), (104960, 189000), (105000, 188928), (107520, 184500), (107625, 184320), (108000, 183680), (110208, 180000), (110592, 179375), (110700, 179200), (112000, 177120), (114800, 172800), (115200, 172200), (118080, 168000), (118125, 167936), (120000, 165312), (120960, 164000), (123000, 161280), (123984, 160000), (125952, 157500), (126000, 157440), (128000, 154980), (129024, 153750), (129150, 153600), (131200, 151200), (134400, 147600), (135000, 146944), (137760, 144000), (138240, 143500), (138375, 143360), (140000, 141696)]