42756768000

素因数分解:

$2^8\times 3^3\times 5^3\times {\mathrm{17}}^1\times {\mathrm{41}}^1\times {\mathrm{71}}^1$

素因数の和:169

約数の個数: 1152

約数和(自身を含む): 173564052480

約数和(自身を除く): 130807284480

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 25, 27, 30, 32, 34, 36, 40, 41, 45, 48, 50, 51, 54, 60, 64, 68, 71, 72, 75, 80, 82, 85, 90, 96, 100, 102, 108, 120, 123, 125, 128, 135, 136, 142, 144, 150, 153, 160, 164, 170, 180, 192, 200, 204, 205, 213, 216, 225, 240, 246, 250, 255, 256, 270, 272, 284, 288, 300, 306, 320, 328, 340, 355, 360, 369, 375, 384, 400, 408, 410, 425, 426, 432, 450, 459, 480, 492, 500, 510, 540, 544, 568, 576, 600, 612, 615, 639, 640, 656, 675, 680, 697, 710, 720, 738, 750, 765, 768, 800, 816, 820, 850, 852, 864, 900, 918, 960, 984, 1000, 1020, 1025, 1065, 1080, 1088, 1107, 1125, 1136, 1152, 1200, 1207, 1224, 1230, 1275, 1278, 1280, 1312, 1350, 1360, 1394, 1420, 1440, 1476, 1500, 1530, 1600, 1632, 1640, 1700, 1704, 1728, 1775, 1800, 1836, 1845, 1917, 1920, 1968, 2000, 2040, 2050, 2091, 2125, 2130, 2160, 2176, 2214, 2250, 2272, 2295, 2304, 2400, 2414, 2448, 2460, 2550, 2556, 2624, 2700, 2720, 2788, 2840, 2880, 2911, 2952, 3000, 3060, 3075, 3195, 3200, 3264, 3280, 3375, 3400, 3408, 3456, 3485, 3550, 3600, 3621, 3672, 3690, 3825, 3834, 3840, 3936, 4000, 4080, 4100, 4182, 4250, 4260, 4320, 4352, 4428, 4500, 4544, 4590, 4800, 4828, 4896, 4920, 5100, 5112, 5125, 5248, 5325, 5400, 5440, 5535, 5576, 5680, 5760, 5822, 5904, 6000, 6035, 6120, 6150, 6273, 6375, 6390, 6400, 6528, 6560, 6750, 6800, 6816, 6912, 6970, 7100, 7200, 7242, 7344, 7380, 7650, 7668, 7872, 8000, 8160, 8200, 8364, 8500, 8520, 8640, 8733, 8856, 8875, 9000, 9088, 9180, 9225, 9585, 9600, 9656, 9792, 9840, 10200, 10224, 10250, 10455, 10496, 10650, 10800, 10863, 10880, 11070, 11152, 11360, 11475, 11520, 11644, 11808, 12000, 12070, 12240, 12300, 12546, 12750, 12780, 13056, 13120, 13500, 13600, 13632, 13940, 14200, 14400, 14484, 14555, 14688, 14760, 15300, 15336, 15375, 15744, 15975, 16000, 16320, 16400, 16728, 17000, 17040, 17280, 17425, 17466, 17712, 17750, 18000, 18105, 18176, 18360, 18450, 18819, 19125, 19170, 19200, 19312, 19584, 19680, 20400, 20448, 20500, 20910, 21300, 21600, 21726, 21760, 22140, 22304, 22720, 22950, 23288, 23616, 24000, 24140, 24480, 24600, 25092, 25500, 25560, 26199, 26240, 26625, 27000, 27200, 27264, 27675, 27880, 28400, 28800, 28968, 29110, 29376, 29520, 30175, 30600, 30672, 30750, 31365, 31488, 31950, 32000, 32589, 32640, 32800, 33456, 34000, 34080, 34560, 34850, 34932, 35424, 35500, 36000, 36210, 36720, 36900, 37638, 38250, 38340, 38624, 39168, 39360, 40800, 40896, 41000, 41820, 42600, 43200, 43452, 43665, 44280, 44608, 45440, 45900, 46125, 46576, 47232, 47925, 48000, 48280, 48960, 49200, 49487, 50184, 51000, 51120, 52275, 52398, 52480, 53250, 54000, 54315, 54400, 54528, 55350, 55760, 56800, 57375, 57600, 57936, 58220, 58752, 59040, 60350, 61200, 61344, 61500, 62730, 63900, 65178, 65280, 65600, 66912, 68000, 68160, 69700, 69864, 70848, 71000, 72000, 72420, 72775, 73440, 73800, 75276, 76500, 76680, 77248, 78597, 78720, 79875, 81600, 81792, 82000, 83640, 85200, 86400, 86904, 87125, 87330, 88560, 89216, 90525, 90880, 91800, 92250, 93152, 94095, 94464, 95850, 96000, 96560, 97920, 98400, 98974, 100368, 102000, 102240, 104550, 104796, 106500, 108000, 108630, 108800, 110700, 111520, 113600, 114750, 115872, 116440, 117504, 118080, 120700, 122400, 122688, 123000, 125460, 127800, 130356, 130995, 131200, 133824, 136000, 136320, 138375, 139400, 139728, 141696, 142000, 144000, 144840, 145550, 146880, 147600, 148461, 150552, 150875, 153000, 153360, 154496, 156825, 157194, 157440, 159750, 162945, 163200, 163584, 164000, 167280, 170400, 172800, 173808, 174250, 174660, 177120, 178432, 181050, 183600, 184500, 186304, 188190, 191700, 193120, 195840, 196800, 197948, 200736, 204000, 204480, 209100, 209592, 213000, 216000, 217260, 218325, 221400, 223040, 227200, 229500, 231744, 232880, 236160, 239625, 241400, 244800, 245376, 246000, 247435, 250920, 255600, 260712, 261375, 261990, 262400, 267648, 271575, 272000, 272640, 276750, 278800, 279456, 283392, 284000, 288000, 289680, 291100, 293760, 295200, 296922, 301104, 301750, 306000, 306720, 308992, 313650, 314388, 319500, 325890, 326400, 328000, 334560, 340800, 347616, 348500, 349320, 354240, 362100, 363875, 367200, 369000, 372608, 376380, 383400, 386240, 392985, 393600, 395896, 401472, 408000, 408960, 418200, 419184, 426000, 432000, 434520, 436650, 442800, 445383, 446080, 452625, 454400, 459000, 463488, 465760, 470475, 472320, 479250, 482800, 489600, 490752, 492000, 494870, 501840, 511200, 521424, 522750, 523980, 535296, 543150, 544000, 553500, 557600, 558912, 568000, 579360, 582200, 587520, 590400, 593844, 602208, 603500, 612000, 613440, 627300, 628776, 639000, 651780, 654975, 656000, 669120, 681600, 695232, 697000, 698640, 708480, 724200, 727750, 734400, 738000, 742305, 745216, 752760, 766800, 772480, 784125, 785970, 787200, 791792, 802944, 814725, 816000, 817920, 836400, 838368, 852000, 864000, 869040, 873300, 885600, 890766, 892160, 905250, 918000, 926976, 931520, 940950, 958500, 965600, 979200, 984000, 989740, 1003680, 1022400, 1042848, 1045500, 1047960, 1086300, 1091625, 1107000, 1115200, 1117824, 1136000, 1158720, 1164400, 1180800, 1187688, 1204416, 1207000, 1224000, 1226880, 1237175, 1254600, 1257552, 1278000, 1303560, 1309950, 1312000, 1336149, 1338240, 1357875, 1363200, 1390464, 1394000, 1397280, 1416960, 1448400, 1455500, 1468800, 1476000, 1484610, 1505520, 1533600, 1544960, 1568250, 1571940, 1583584, 1605888, 1629450, 1632000, 1672800, 1676736, 1704000, 1738080, 1746600, 1771200, 1781532, 1810500, 1836000, 1863040, 1881900, 1917000, 1931200, 1964925, 1968000, 1979480, 2007360, 2044800, 2085696, 2091000, 2095920, 2172600, 2183250, 2214000, 2226915, 2230400, 2235648, 2272000, 2317440, 2328800, 2352375, 2361600, 2375376, 2408832, 2414000, 2448000, 2453760, 2474350, 2509200, 2515104, 2556000, 2607120, 2619900, 2672298, 2676480, 2715750, 2780928, 2788000, 2794560, 2896800, 2911000, 2937600, 2952000, 2969220, 3011040, 3067200, 3136500, 3143880, 3167168, 3258900, 3274875, 3345600, 3353472, 3408000, 3476160, 3493200, 3542400, 3563064, 3621000, 3672000, 3711525, 3726080, 3763800, 3834000, 3862400, 3929850, 3936000, 3958960, 4014720, 4073625, 4089600, 4171392, 4182000, 4191840, 4345200, 4366500, 4428000, 4453830, 4460800, 4634880, 4657600, 4704750, 4750752, 4817664, 4828000, 4896000, 4948700, 5018400, 5030208, 5112000, 5214240, 5239800, 5344596, 5431500, 5576000, 5589120, 5793600, 5822000, 5904000, 5938440, 6022080, 6134400, 6185875, 6273000, 6287760, 6334336, 6517800, 6549750, 6680745, 6691200, 6706944, 6816000, 6952320, 6986400, 7084800, 7126128, 7242000, 7344000, 7423050, 7527600, 7668000, 7724800, 7859700, 7917920, 8029440, 8147250, 8342784, 8364000, 8383680, 8690400, 8733000, 8856000, 8907660, 9315200, 9409500, 9501504, 9656000, 9824625, 9897400, 10036800, 10060416, 10224000, 10428480, 10479600, 10689192, 10863000, 11134575, 11152000, 11178240, 11587200, 11644000, 11808000, 11876880, 12044160, 12268800, 12371750, 12546000, 12575520, 12668672, 13035600, 13099500, 13361490, 13382400, 13904640, 13972800, 14252256, 14484000, 14688000, 14846100, 15055200, 15336000, 15719400, 15835840, 16294500, 16728000, 16767360, 17380800, 17466000, 17712000, 17815320, 18557625, 18630400, 18819000, 19003008, 19312000, 19649250, 19794800, 20073600, 20120832, 20448000, 20856960, 20959200, 21378384, 21726000, 22269150, 22304000, 23174400, 23288000, 23753760, 24088320, 24743500, 25092000, 25151040, 26071200, 26199000, 26722980, 27945600, 28504512, 28968000, 29692200, 30110400, 30672000, 31438800, 31671680, 32589000, 33403725, 33456000, 33534720, 34761600, 34932000, 35424000, 35630640, 37115250, 37638000, 38006016, 38624000, 39298500, 39589600, 40147200, 41713920, 41918400, 42756768, 43452000, 44538300, 46576000, 47507520, 49487000, 50184000, 50302080, 52142400, 52398000, 53445960, 55672875, 55891200, 57009024, 57936000, 59384400, 60220800, 61344000, 62877600, 63343360, 65178000, 66807450, 66912000, 69523200, 69864000, 71261280, 74230500, 75276000, 78597000, 79179200, 83836800, 85513536, 86904000, 89076600, 93152000, 95015040, 98974000, 100368000, 100604160, 104284800, 104796000, 106891920, 111345750, 114018048, 115872000, 118768800, 120441600, 125755200, 130356000, 133614900, 139728000, 142522560, 148461000, 150552000, 157194000, 158358400, 167018625, 167673600, 171027072, 173808000, 178153200, 190030080, 197948000, 200736000, 208569600, 209592000, 213783840, 222691500, 237537600, 251510400, 260712000, 267229800, 279456000, 285045120, 296922000, 301104000, 314388000, 316716800, 334037250, 342054144, 347616000, 356306400, 395896000, 419184000, 427567680, 445383000, 475075200, 503020800, 521424000, 534459600, 570090240, 593844000, 602208000, 628776000, 668074500, 712612800, 791792000, 838368000, 855135360, 890766000, 950150400, 1042848000, 1068919200, 1187688000, 1257552000, 1336149000, 1425225600, 1583584000, 1710270720, 1781532000, 2137838400, 2375376000, 2515104000, 2672298000, 2850451200, 3563064000, 4275676800, 4750752000, 5344596000, 7126128000, 8551353600, 10689192000, 14252256000, 21378384000, 42756768000]

約数ペア:

[(1, 42756768000), (2, 21378384000), (3, 14252256000), (4, 10689192000), (5, 8551353600), (6, 7126128000), (8, 5344596000), (9, 4750752000), (10, 4275676800), (12, 3563064000), (15, 2850451200), (16, 2672298000), (17, 2515104000), (18, 2375376000), (20, 2137838400), (24, 1781532000), (25, 1710270720), (27, 1583584000), (30, 1425225600), (32, 1336149000), (34, 1257552000), (36, 1187688000), (40, 1068919200), (41, 1042848000), (45, 950150400), (48, 890766000), (50, 855135360), (51, 838368000), (54, 791792000), (60, 712612800), (64, 668074500), (68, 628776000), (71, 602208000), (72, 593844000), (75, 570090240), (80, 534459600), (82, 521424000), (85, 503020800), (90, 475075200), (96, 445383000), (100, 427567680), (102, 419184000), (108, 395896000), (120, 356306400), (123, 347616000), (125, 342054144), (128, 334037250), (135, 316716800), (136, 314388000), (142, 301104000), (144, 296922000), (150, 285045120), (153, 279456000), (160, 267229800), (164, 260712000), (170, 251510400), (180, 237537600), (192, 222691500), (200, 213783840), (204, 209592000), (205, 208569600), (213, 200736000), (216, 197948000), (225, 190030080), (240, 178153200), (246, 173808000), (250, 171027072), (255, 167673600), (256, 167018625), (270, 158358400), (272, 157194000), (284, 150552000), (288, 148461000), (300, 142522560), (306, 139728000), (320, 133614900), (328, 130356000), (340, 125755200), (355, 120441600), (360, 118768800), (369, 115872000), (375, 114018048), (384, 111345750), (400, 106891920), (408, 104796000), (410, 104284800), (425, 100604160), (426, 100368000), (432, 98974000), (450, 95015040), (459, 93152000), (480, 89076600), (492, 86904000), (500, 85513536), (510, 83836800), (540, 79179200), (544, 78597000), (568, 75276000), (576, 74230500), (600, 71261280), (612, 69864000), (615, 69523200), (639, 66912000), (640, 66807450), (656, 65178000), (675, 63343360), (680, 62877600), (697, 61344000), (710, 60220800), (720, 59384400), (738, 57936000), (750, 57009024), (765, 55891200), (768, 55672875), (800, 53445960), (816, 52398000), (820, 52142400), (850, 50302080), (852, 50184000), (864, 49487000), (900, 47507520), (918, 46576000), (960, 44538300), (984, 43452000), (1000, 42756768), (1020, 41918400), (1025, 41713920), (1065, 40147200), (1080, 39589600), (1088, 39298500), (1107, 38624000), (1125, 38006016), (1136, 37638000), (1152, 37115250), (1200, 35630640), (1207, 35424000), (1224, 34932000), (1230, 34761600), (1275, 33534720), (1278, 33456000), (1280, 33403725), (1312, 32589000), (1350, 31671680), (1360, 31438800), (1394, 30672000), (1420, 30110400), (1440, 29692200), (1476, 28968000), (1500, 28504512), (1530, 27945600), (1600, 26722980), (1632, 26199000), (1640, 26071200), (1700, 25151040), (1704, 25092000), (1728, 24743500), (1775, 24088320), (1800, 23753760), (1836, 23288000), (1845, 23174400), (1917, 22304000), (1920, 22269150), (1968, 21726000), (2000, 21378384), (2040, 20959200), (2050, 20856960), (2091, 20448000), (2125, 20120832), (2130, 20073600), (2160, 19794800), (2176, 19649250), (2214, 19312000), (2250, 19003008), (2272, 18819000), (2295, 18630400), (2304, 18557625), (2400, 17815320), (2414, 17712000), (2448, 17466000), (2460, 17380800), (2550, 16767360), (2556, 16728000), (2624, 16294500), (2700, 15835840), (2720, 15719400), (2788, 15336000), (2840, 15055200), (2880, 14846100), (2911, 14688000), (2952, 14484000), (3000, 14252256), (3060, 13972800), (3075, 13904640), (3195, 13382400), (3200, 13361490), (3264, 13099500), (3280, 13035600), (3375, 12668672), (3400, 12575520), (3408, 12546000), (3456, 12371750), (3485, 12268800), (3550, 12044160), (3600, 11876880), (3621, 11808000), (3672, 11644000), (3690, 11587200), (3825, 11178240), (3834, 11152000), (3840, 11134575), (3936, 10863000), (4000, 10689192), (4080, 10479600), (4100, 10428480), (4182, 10224000), (4250, 10060416), (4260, 10036800), (4320, 9897400), (4352, 9824625), (4428, 9656000), (4500, 9501504), (4544, 9409500), (4590, 9315200), (4800, 8907660), (4828, 8856000), (4896, 8733000), (4920, 8690400), (5100, 8383680), (5112, 8364000), (5125, 8342784), (5248, 8147250), (5325, 8029440), (5400, 7917920), (5440, 7859700), (5535, 7724800), (5576, 7668000), (5680, 7527600), (5760, 7423050), (5822, 7344000), (5904, 7242000), (6000, 7126128), (6035, 7084800), (6120, 6986400), (6150, 6952320), (6273, 6816000), (6375, 6706944), (6390, 6691200), (6400, 6680745), (6528, 6549750), (6560, 6517800), (6750, 6334336), (6800, 6287760), (6816, 6273000), (6912, 6185875), (6970, 6134400), (7100, 6022080), (7200, 5938440), (7242, 5904000), (7344, 5822000), (7380, 5793600), (7650, 5589120), (7668, 5576000), (7872, 5431500), (8000, 5344596), (8160, 5239800), (8200, 5214240), (8364, 5112000), (8500, 5030208), (8520, 5018400), (8640, 4948700), (8733, 4896000), (8856, 4828000), (8875, 4817664), (9000, 4750752), (9088, 4704750), (9180, 4657600), (9225, 4634880), (9585, 4460800), (9600, 4453830), (9656, 4428000), (9792, 4366500), (9840, 4345200), (10200, 4191840), (10224, 4182000), (10250, 4171392), (10455, 4089600), (10496, 4073625), (10650, 4014720), (10800, 3958960), (10863, 3936000), (10880, 3929850), (11070, 3862400), (11152, 3834000), (11360, 3763800), (11475, 3726080), (11520, 3711525), (11644, 3672000), (11808, 3621000), (12000, 3563064), (12070, 3542400), (12240, 3493200), (12300, 3476160), (12546, 3408000), (12750, 3353472), (12780, 3345600), (13056, 3274875), (13120, 3258900), (13500, 3167168), (13600, 3143880), (13632, 3136500), (13940, 3067200), (14200, 3011040), (14400, 2969220), (14484, 2952000), (14555, 2937600), (14688, 2911000), (14760, 2896800), (15300, 2794560), (15336, 2788000), (15375, 2780928), (15744, 2715750), (15975, 2676480), (16000, 2672298), (16320, 2619900), (16400, 2607120), (16728, 2556000), (17000, 2515104), (17040, 2509200), (17280, 2474350), (17425, 2453760), (17466, 2448000), (17712, 2414000), (17750, 2408832), (18000, 2375376), (18105, 2361600), (18176, 2352375), (18360, 2328800), (18450, 2317440), (18819, 2272000), (19125, 2235648), (19170, 2230400), (19200, 2226915), (19312, 2214000), (19584, 2183250), (19680, 2172600), (20400, 2095920), (20448, 2091000), (20500, 2085696), (20910, 2044800), (21300, 2007360), (21600, 1979480), (21726, 1968000), (21760, 1964925), (22140, 1931200), (22304, 1917000), (22720, 1881900), (22950, 1863040), (23288, 1836000), (23616, 1810500), (24000, 1781532), (24140, 1771200), (24480, 1746600), (24600, 1738080), (25092, 1704000), (25500, 1676736), (25560, 1672800), (26199, 1632000), (26240, 1629450), (26625, 1605888), (27000, 1583584), (27200, 1571940), (27264, 1568250), (27675, 1544960), (27880, 1533600), (28400, 1505520), (28800, 1484610), (28968, 1476000), (29110, 1468800), (29376, 1455500), (29520, 1448400), (30175, 1416960), (30600, 1397280), (30672, 1394000), (30750, 1390464), (31365, 1363200), (31488, 1357875), (31950, 1338240), (32000, 1336149), (32589, 1312000), (32640, 1309950), (32800, 1303560), (33456, 1278000), (34000, 1257552), (34080, 1254600), (34560, 1237175), (34850, 1226880), (34932, 1224000), (35424, 1207000), (35500, 1204416), (36000, 1187688), (36210, 1180800), (36720, 1164400), (36900, 1158720), (37638, 1136000), (38250, 1117824), (38340, 1115200), (38624, 1107000), (39168, 1091625), (39360, 1086300), (40800, 1047960), (40896, 1045500), (41000, 1042848), (41820, 1022400), (42600, 1003680), (43200, 989740), (43452, 984000), (43665, 979200), (44280, 965600), (44608, 958500), (45440, 940950), (45900, 931520), (46125, 926976), (46576, 918000), (47232, 905250), (47925, 892160), (48000, 890766), (48280, 885600), (48960, 873300), (49200, 869040), (49487, 864000), (50184, 852000), (51000, 838368), (51120, 836400), (52275, 817920), (52398, 816000), (52480, 814725), (53250, 802944), (54000, 791792), (54315, 787200), (54400, 785970), (54528, 784125), (55350, 772480), (55760, 766800), (56800, 752760), (57375, 745216), (57600, 742305), (57936, 738000), (58220, 734400), (58752, 727750), (59040, 724200), (60350, 708480), (61200, 698640), (61344, 697000), (61500, 695232), (62730, 681600), (63900, 669120), (65178, 656000), (65280, 654975), (65600, 651780), (66912, 639000), (68000, 628776), (68160, 627300), (69700, 613440), (69864, 612000), (70848, 603500), (71000, 602208), (72000, 593844), (72420, 590400), (72775, 587520), (73440, 582200), (73800, 579360), (75276, 568000), (76500, 558912), (76680, 557600), (77248, 553500), (78597, 544000), (78720, 543150), (79875, 535296), (81600, 523980), (81792, 522750), (82000, 521424), (83640, 511200), (85200, 501840), (86400, 494870), (86904, 492000), (87125, 490752), (87330, 489600), (88560, 482800), (89216, 479250), (90525, 472320), (90880, 470475), (91800, 465760), (92250, 463488), (93152, 459000), (94095, 454400), (94464, 452625), (95850, 446080), (96000, 445383), (96560, 442800), (97920, 436650), (98400, 434520), (98974, 432000), (100368, 426000), (102000, 419184), (102240, 418200), (104550, 408960), (104796, 408000), (106500, 401472), (108000, 395896), (108630, 393600), (108800, 392985), (110700, 386240), (111520, 383400), (113600, 376380), (114750, 372608), (115872, 369000), (116440, 367200), (117504, 363875), (118080, 362100), (120700, 354240), (122400, 349320), (122688, 348500), (123000, 347616), (125460, 340800), (127800, 334560), (130356, 328000), (130995, 326400), (131200, 325890), (133824, 319500), (136000, 314388), (136320, 313650), (138375, 308992), (139400, 306720), (139728, 306000), (141696, 301750), (142000, 301104), (144000, 296922), (144840, 295200), (145550, 293760), (146880, 291100), (147600, 289680), (148461, 288000), (150552, 284000), (150875, 283392), (153000, 279456), (153360, 278800), (154496, 276750), (156825, 272640), (157194, 272000), (157440, 271575), (159750, 267648), (162945, 262400), (163200, 261990), (163584, 261375), (164000, 260712), (167280, 255600), (170400, 250920), (172800, 247435), (173808, 246000), (174250, 245376), (174660, 244800), (177120, 241400), (178432, 239625), (181050, 236160), (183600, 232880), (184500, 231744), (186304, 229500), (188190, 227200), (191700, 223040), (193120, 221400), (195840, 218325), (196800, 217260), (197948, 216000), (200736, 213000), (204000, 209592), (204480, 209100)]