40950144000

素因数分解:

$2^{10}\times 3^3\times 5^3\times {\mathrm{17}}^2\times {\mathrm{41}}^1$

素因数の和:119

約数の個数: 1056

約数和(自身を含む): 164698672320

約数和(自身を除く): 123748528320

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, 72, 75, 80, 82, 85, 90, 96, 100, 102, 108, 120, 123, 125, 128, 135, 136, 144, 150, 153, 160, 164, 170, 180, 192, 200, 204, 205, 216, 225, 240, 246, 250, 255, 256, 270, 272, 288, 289, 300, 306, 320, 328, 340, 360, 369, 375, 384, 400, 408, 410, 425, 432, 450, 459, 480, 492, 500, 510, 512, 540, 544, 576, 578, 600, 612, 615, 640, 656, 675, 680, 697, 720, 738, 750, 765, 768, 800, 816, 820, 850, 864, 867, 900, 918, 960, 984, 1000, 1020, 1024, 1025, 1080, 1088, 1107, 1125, 1152, 1156, 1200, 1224, 1230, 1275, 1280, 1312, 1350, 1360, 1394, 1440, 1445, 1476, 1500, 1530, 1536, 1600, 1632, 1640, 1700, 1728, 1734, 1800, 1836, 1845, 1920, 1968, 2000, 2040, 2050, 2091, 2125, 2160, 2176, 2214, 2250, 2295, 2304, 2312, 2400, 2448, 2460, 2550, 2560, 2601, 2624, 2700, 2720, 2788, 2880, 2890, 2952, 3000, 3060, 3072, 3075, 3200, 3264, 3280, 3375, 3400, 3456, 3468, 3485, 3600, 3672, 3690, 3825, 3840, 3936, 4000, 4080, 4100, 4182, 4250, 4320, 4335, 4352, 4428, 4500, 4590, 4608, 4624, 4800, 4896, 4920, 5100, 5120, 5125, 5202, 5248, 5400, 5440, 5535, 5576, 5760, 5780, 5904, 6000, 6120, 6150, 6273, 6375, 6400, 6528, 6560, 6750, 6800, 6912, 6936, 6970, 7200, 7225, 7344, 7380, 7650, 7680, 7803, 7872, 8000, 8160, 8200, 8364, 8500, 8640, 8670, 8704, 8856, 9000, 9180, 9216, 9225, 9248, 9600, 9792, 9840, 10200, 10250, 10404, 10455, 10496, 10800, 10880, 11070, 11152, 11475, 11520, 11560, 11808, 11849, 12000, 12240, 12300, 12546, 12750, 12800, 13005, 13056, 13120, 13500, 13600, 13824, 13872, 13940, 14400, 14450, 14688, 14760, 15300, 15360, 15375, 15606, 15744, 16000, 16320, 16400, 16728, 17000, 17280, 17340, 17408, 17425, 17712, 18000, 18360, 18450, 18496, 18819, 19125, 19200, 19584, 19680, 20400, 20500, 20808, 20910, 20992, 21600, 21675, 21760, 22140, 22304, 22950, 23040, 23120, 23616, 23698, 24000, 24480, 24600, 25092, 25500, 25600, 26010, 26112, 26240, 27000, 27200, 27648, 27675, 27744, 27880, 28800, 28900, 29376, 29520, 30600, 30750, 31212, 31365, 31488, 32000, 32640, 32800, 33456, 34000, 34560, 34680, 34850, 35424, 35547, 36000, 36125, 36720, 36900, 36992, 37638, 38250, 38400, 39015, 39168, 39360, 40800, 41000, 41616, 41820, 41984, 43200, 43350, 43520, 44280, 44608, 45900, 46080, 46125, 46240, 47232, 47396, 48000, 48960, 49200, 50184, 51000, 52020, 52224, 52275, 52480, 54000, 54400, 55350, 55488, 55760, 57375, 57600, 57800, 58752, 59040, 59245, 61200, 61500, 62424, 62730, 62976, 64000, 65025, 65280, 65600, 66912, 68000, 69120, 69360, 69700, 70848, 71094, 72000, 72250, 73440, 73800, 73984, 75276, 76500, 76800, 78030, 78336, 78720, 81600, 82000, 83232, 83640, 86400, 86700, 87040, 87125, 88560, 89216, 91800, 92250, 92480, 94095, 94464, 94792, 96000, 97920, 98400, 100368, 102000, 104040, 104550, 104960, 106641, 108000, 108375, 108800, 110700, 110976, 111520, 114750, 115200, 115600, 117504, 118080, 118490, 122400, 123000, 124848, 125460, 125952, 128000, 130050, 130560, 131200, 133824, 136000, 138240, 138375, 138720, 139400, 141696, 142188, 144000, 144500, 146880, 147600, 147968, 150552, 153000, 156060, 156672, 156825, 157440, 163200, 164000, 166464, 167280, 172800, 173400, 174250, 177120, 177735, 178432, 183600, 184500, 184960, 188190, 188928, 189584, 192000, 195075, 195840, 196800, 200736, 204000, 208080, 209100, 209920, 213282, 216000, 216750, 217600, 221400, 221952, 223040, 229500, 230400, 231200, 235008, 236160, 236980, 244800, 246000, 249696, 250920, 260100, 261120, 261375, 262400, 267648, 272000, 276750, 277440, 278800, 283392, 284376, 288000, 289000, 293760, 295200, 295936, 296225, 301104, 306000, 312120, 313650, 314880, 319923, 325125, 326400, 328000, 332928, 334560, 345600, 346800, 348500, 354240, 355470, 356864, 367200, 369000, 369920, 376380, 377856, 379168, 384000, 390150, 391680, 393600, 401472, 408000, 416160, 418200, 426564, 432000, 433500, 435200, 442800, 443904, 446080, 459000, 462400, 470016, 470475, 472320, 473960, 489600, 492000, 499392, 501840, 520200, 522750, 524800, 533205, 535296, 544000, 553500, 554880, 557600, 566784, 568752, 576000, 578000, 587520, 590400, 592450, 602208, 612000, 624240, 627300, 629760, 639846, 650250, 652800, 656000, 665856, 669120, 691200, 693600, 697000, 708480, 710940, 713728, 734400, 738000, 739840, 752760, 758336, 780300, 783360, 784125, 787200, 802944, 816000, 832320, 836400, 853128, 864000, 867000, 885600, 887808, 888675, 892160, 918000, 924800, 940950, 944640, 947920, 975375, 979200, 984000, 998784, 1003680, 1040400, 1045500, 1049600, 1066410, 1070592, 1088000, 1107000, 1109760, 1115200, 1133568, 1137504, 1152000, 1156000, 1175040, 1180800, 1184900, 1204416, 1224000, 1248480, 1254600, 1279692, 1300500, 1305600, 1312000, 1331712, 1338240, 1387200, 1394000, 1416960, 1421880, 1468800, 1476000, 1479680, 1481125, 1505520, 1516672, 1560600, 1568250, 1574400, 1599615, 1605888, 1632000, 1664640, 1672800, 1706256, 1728000, 1734000, 1771200, 1777350, 1784320, 1836000, 1849600, 1881900, 1889280, 1895840, 1950750, 1958400, 1968000, 1997568, 2007360, 2080800, 2091000, 2132820, 2141184, 2176000, 2214000, 2219520, 2230400, 2275008, 2312000, 2350080, 2352375, 2361600, 2369800, 2408832, 2448000, 2496960, 2509200, 2559384, 2601000, 2624000, 2663424, 2666025, 2676480, 2774400, 2788000, 2833920, 2843760, 2937600, 2952000, 2962250, 3011040, 3033344, 3121200, 3136500, 3148800, 3199230, 3211776, 3264000, 3329280, 3345600, 3412512, 3456000, 3468000, 3542400, 3554700, 3568640, 3672000, 3699200, 3763800, 3791680, 3901500, 3916800, 3936000, 3995136, 4014720, 4161600, 4182000, 4265640, 4428000, 4439040, 4443375, 4460800, 4550016, 4624000, 4704750, 4723200, 4739600, 4817664, 4896000, 4993920, 5018400, 5118768, 5202000, 5248000, 5332050, 5352960, 5548800, 5576000, 5667840, 5687520, 5875200, 5904000, 5924500, 6022080, 6066688, 6242400, 6273000, 6398460, 6423552, 6528000, 6658560, 6691200, 6825024, 6936000, 7084800, 7109400, 7344000, 7398400, 7527600, 7583360, 7803000, 7872000, 7990272, 7998075, 8029440, 8323200, 8364000, 8531280, 8856000, 8886750, 8921600, 9100032, 9248000, 9409500, 9446400, 9479200, 9635328, 9792000, 9987840, 10036800, 10237536, 10404000, 10664100, 10705920, 11097600, 11152000, 11375040, 11750400, 11808000, 11849000, 12044160, 12133376, 12484800, 12546000, 12796920, 13317120, 13330125, 13382400, 13650048, 13872000, 14169600, 14218800, 14688000, 15055200, 15166720, 15606000, 15744000, 15996150, 16058880, 16646400, 16728000, 17062560, 17712000, 17773500, 17843200, 18200064, 18496000, 18819000, 18958400, 19270656, 19584000, 19975680, 20073600, 20475072, 20808000, 21328200, 22195200, 22304000, 22750080, 23616000, 23698000, 24088320, 24969600, 25092000, 25593840, 26660250, 26764800, 27300096, 27744000, 28339200, 28437600, 29376000, 30110400, 30333440, 31212000, 31992300, 32117760, 33292800, 33456000, 34125120, 35424000, 35547000, 36400128, 36992000, 37638000, 37916800, 39951360, 39990375, 40147200, 40950144, 41616000, 42656400, 44608000, 45500160, 47232000, 47396000, 48176640, 49939200, 50184000, 51187680, 53320500, 53529600, 54600192, 55488000, 56875200, 58752000, 60220800, 60666880, 62424000, 63984600, 66585600, 66912000, 68250240, 70848000, 71094000, 75276000, 75833600, 79980750, 80294400, 81900288, 83232000, 85312800, 89216000, 91000320, 94792000, 96353280, 99878400, 100368000, 102375360, 106641000, 109200384, 110976000, 113750400, 120441600, 124848000, 127969200, 133824000, 136500480, 141696000, 142188000, 150552000, 151667200, 159961500, 160588800, 163800576, 166464000, 170625600, 182000640, 189584000, 199756800, 200736000, 204750720, 213282000, 227500800, 240883200, 249696000, 255938400, 267648000, 273000960, 284376000, 301104000, 303334400, 319923000, 327601152, 332928000, 341251200, 379168000, 401472000, 409501440, 426564000, 455001600, 481766400, 499392000, 511876800, 546001920, 568752000, 602208000, 639846000, 682502400, 758336000, 802944000, 819002880, 853128000, 910003200, 998784000, 1023753600, 1137504000, 1204416000, 1279692000, 1365004800, 1516672000, 1638005760, 1706256000, 2047507200, 2275008000, 2408832000, 2559384000, 2730009600, 3412512000, 4095014400, 4550016000, 5118768000, 6825024000, 8190028800, 10237536000, 13650048000, 20475072000, 40950144000]

約数ペア:

[(1, 40950144000), (2, 20475072000), (3, 13650048000), (4, 10237536000), (5, 8190028800), (6, 6825024000), (8, 5118768000), (9, 4550016000), (10, 4095014400), (12, 3412512000), (15, 2730009600), (16, 2559384000), (17, 2408832000), (18, 2275008000), (20, 2047507200), (24, 1706256000), (25, 1638005760), (27, 1516672000), (30, 1365004800), (32, 1279692000), (34, 1204416000), (36, 1137504000), (40, 1023753600), (41, 998784000), (45, 910003200), (48, 853128000), (50, 819002880), (51, 802944000), (54, 758336000), (60, 682502400), (64, 639846000), (68, 602208000), (72, 568752000), (75, 546001920), (80, 511876800), (82, 499392000), (85, 481766400), (90, 455001600), (96, 426564000), (100, 409501440), (102, 401472000), (108, 379168000), (120, 341251200), (123, 332928000), (125, 327601152), (128, 319923000), (135, 303334400), (136, 301104000), (144, 284376000), (150, 273000960), (153, 267648000), (160, 255938400), (164, 249696000), (170, 240883200), (180, 227500800), (192, 213282000), (200, 204750720), (204, 200736000), (205, 199756800), (216, 189584000), (225, 182000640), (240, 170625600), (246, 166464000), (250, 163800576), (255, 160588800), (256, 159961500), (270, 151667200), (272, 150552000), (288, 142188000), (289, 141696000), (300, 136500480), (306, 133824000), (320, 127969200), (328, 124848000), (340, 120441600), (360, 113750400), (369, 110976000), (375, 109200384), (384, 106641000), (400, 102375360), (408, 100368000), (410, 99878400), (425, 96353280), (432, 94792000), (450, 91000320), (459, 89216000), (480, 85312800), (492, 83232000), (500, 81900288), (510, 80294400), (512, 79980750), (540, 75833600), (544, 75276000), (576, 71094000), (578, 70848000), (600, 68250240), (612, 66912000), (615, 66585600), (640, 63984600), (656, 62424000), (675, 60666880), (680, 60220800), (697, 58752000), (720, 56875200), (738, 55488000), (750, 54600192), (765, 53529600), (768, 53320500), (800, 51187680), (816, 50184000), (820, 49939200), (850, 48176640), (864, 47396000), (867, 47232000), (900, 45500160), (918, 44608000), (960, 42656400), (984, 41616000), (1000, 40950144), (1020, 40147200), (1024, 39990375), (1025, 39951360), (1080, 37916800), (1088, 37638000), (1107, 36992000), (1125, 36400128), (1152, 35547000), (1156, 35424000), (1200, 34125120), (1224, 33456000), (1230, 33292800), (1275, 32117760), (1280, 31992300), (1312, 31212000), (1350, 30333440), (1360, 30110400), (1394, 29376000), (1440, 28437600), (1445, 28339200), (1476, 27744000), (1500, 27300096), (1530, 26764800), (1536, 26660250), (1600, 25593840), (1632, 25092000), (1640, 24969600), (1700, 24088320), (1728, 23698000), (1734, 23616000), (1800, 22750080), (1836, 22304000), (1845, 22195200), (1920, 21328200), (1968, 20808000), (2000, 20475072), (2040, 20073600), (2050, 19975680), (2091, 19584000), (2125, 19270656), (2160, 18958400), (2176, 18819000), (2214, 18496000), (2250, 18200064), (2295, 17843200), (2304, 17773500), (2312, 17712000), (2400, 17062560), (2448, 16728000), (2460, 16646400), (2550, 16058880), (2560, 15996150), (2601, 15744000), (2624, 15606000), (2700, 15166720), (2720, 15055200), (2788, 14688000), (2880, 14218800), (2890, 14169600), (2952, 13872000), (3000, 13650048), (3060, 13382400), (3072, 13330125), (3075, 13317120), (3200, 12796920), (3264, 12546000), (3280, 12484800), (3375, 12133376), (3400, 12044160), (3456, 11849000), (3468, 11808000), (3485, 11750400), (3600, 11375040), (3672, 11152000), (3690, 11097600), (3825, 10705920), (3840, 10664100), (3936, 10404000), (4000, 10237536), (4080, 10036800), (4100, 9987840), (4182, 9792000), (4250, 9635328), (4320, 9479200), (4335, 9446400), (4352, 9409500), (4428, 9248000), (4500, 9100032), (4590, 8921600), (4608, 8886750), (4624, 8856000), (4800, 8531280), (4896, 8364000), (4920, 8323200), (5100, 8029440), (5120, 7998075), (5125, 7990272), (5202, 7872000), (5248, 7803000), (5400, 7583360), (5440, 7527600), (5535, 7398400), (5576, 7344000), (5760, 7109400), (5780, 7084800), (5904, 6936000), (6000, 6825024), (6120, 6691200), (6150, 6658560), (6273, 6528000), (6375, 6423552), (6400, 6398460), (6528, 6273000), (6560, 6242400), (6750, 6066688), (6800, 6022080), (6912, 5924500), (6936, 5904000), (6970, 5875200), (7200, 5687520), (7225, 5667840), (7344, 5576000), (7380, 5548800), (7650, 5352960), (7680, 5332050), (7803, 5248000), (7872, 5202000), (8000, 5118768), (8160, 5018400), (8200, 4993920), (8364, 4896000), (8500, 4817664), (8640, 4739600), (8670, 4723200), (8704, 4704750), (8856, 4624000), (9000, 4550016), (9180, 4460800), (9216, 4443375), (9225, 4439040), (9248, 4428000), (9600, 4265640), (9792, 4182000), (9840, 4161600), (10200, 4014720), (10250, 3995136), (10404, 3936000), (10455, 3916800), (10496, 3901500), (10800, 3791680), (10880, 3763800), (11070, 3699200), (11152, 3672000), (11475, 3568640), (11520, 3554700), (11560, 3542400), (11808, 3468000), (11849, 3456000), (12000, 3412512), (12240, 3345600), (12300, 3329280), (12546, 3264000), (12750, 3211776), (12800, 3199230), (13005, 3148800), (13056, 3136500), (13120, 3121200), (13500, 3033344), (13600, 3011040), (13824, 2962250), (13872, 2952000), (13940, 2937600), (14400, 2843760), (14450, 2833920), (14688, 2788000), (14760, 2774400), (15300, 2676480), (15360, 2666025), (15375, 2663424), (15606, 2624000), (15744, 2601000), (16000, 2559384), (16320, 2509200), (16400, 2496960), (16728, 2448000), (17000, 2408832), (17280, 2369800), (17340, 2361600), (17408, 2352375), (17425, 2350080), (17712, 2312000), (18000, 2275008), (18360, 2230400), (18450, 2219520), (18496, 2214000), (18819, 2176000), (19125, 2141184), (19200, 2132820), (19584, 2091000), (19680, 2080800), (20400, 2007360), (20500, 1997568), (20808, 1968000), (20910, 1958400), (20992, 1950750), (21600, 1895840), (21675, 1889280), (21760, 1881900), (22140, 1849600), (22304, 1836000), (22950, 1784320), (23040, 1777350), (23120, 1771200), (23616, 1734000), (23698, 1728000), (24000, 1706256), (24480, 1672800), (24600, 1664640), (25092, 1632000), (25500, 1605888), (25600, 1599615), (26010, 1574400), (26112, 1568250), (26240, 1560600), (27000, 1516672), (27200, 1505520), (27648, 1481125), (27675, 1479680), (27744, 1476000), (27880, 1468800), (28800, 1421880), (28900, 1416960), (29376, 1394000), (29520, 1387200), (30600, 1338240), (30750, 1331712), (31212, 1312000), (31365, 1305600), (31488, 1300500), (32000, 1279692), (32640, 1254600), (32800, 1248480), (33456, 1224000), (34000, 1204416), (34560, 1184900), (34680, 1180800), (34850, 1175040), (35424, 1156000), (35547, 1152000), (36000, 1137504), (36125, 1133568), (36720, 1115200), (36900, 1109760), (36992, 1107000), (37638, 1088000), (38250, 1070592), (38400, 1066410), (39015, 1049600), (39168, 1045500), (39360, 1040400), (40800, 1003680), (41000, 998784), (41616, 984000), (41820, 979200), (41984, 975375), (43200, 947920), (43350, 944640), (43520, 940950), (44280, 924800), (44608, 918000), (45900, 892160), (46080, 888675), (46125, 887808), (46240, 885600), (47232, 867000), (47396, 864000), (48000, 853128), (48960, 836400), (49200, 832320), (50184, 816000), (51000, 802944), (52020, 787200), (52224, 784125), (52275, 783360), (52480, 780300), (54000, 758336), (54400, 752760), (55350, 739840), (55488, 738000), (55760, 734400), (57375, 713728), (57600, 710940), (57800, 708480), (58752, 697000), (59040, 693600), (59245, 691200), (61200, 669120), (61500, 665856), (62424, 656000), (62730, 652800), (62976, 650250), (64000, 639846), (65025, 629760), (65280, 627300), (65600, 624240), (66912, 612000), (68000, 602208), (69120, 592450), (69360, 590400), (69700, 587520), (70848, 578000), (71094, 576000), (72000, 568752), (72250, 566784), (73440, 557600), (73800, 554880), (73984, 553500), (75276, 544000), (76500, 535296), (76800, 533205), (78030, 524800), (78336, 522750), (78720, 520200), (81600, 501840), (82000, 499392), (83232, 492000), (83640, 489600), (86400, 473960), (86700, 472320), (87040, 470475), (87125, 470016), (88560, 462400), (89216, 459000), (91800, 446080), (92250, 443904), (92480, 442800), (94095, 435200), (94464, 433500), (94792, 432000), (96000, 426564), (97920, 418200), (98400, 416160), (100368, 408000), (102000, 401472), (104040, 393600), (104550, 391680), (104960, 390150), (106641, 384000), (108000, 379168), (108375, 377856), (108800, 376380), (110700, 369920), (110976, 369000), (111520, 367200), (114750, 356864), (115200, 355470), (115600, 354240), (117504, 348500), (118080, 346800), (118490, 345600), (122400, 334560), (123000, 332928), (124848, 328000), (125460, 326400), (125952, 325125), (128000, 319923), (130050, 314880), (130560, 313650), (131200, 312120), (133824, 306000), (136000, 301104), (138240, 296225), (138375, 295936), (138720, 295200), (139400, 293760), (141696, 289000), (142188, 288000), (144000, 284376), (144500, 283392), (146880, 278800), (147600, 277440), (147968, 276750), (150552, 272000), (153000, 267648), (156060, 262400), (156672, 261375), (156825, 261120), (157440, 260100), (163200, 250920), (164000, 249696), (166464, 246000), (167280, 244800), (172800, 236980), (173400, 236160), (174250, 235008), (177120, 231200), (177735, 230400), (178432, 229500), (183600, 223040), (184500, 221952), (184960, 221400), (188190, 217600), (188928, 216750), (189584, 216000), (192000, 213282), (195075, 209920), (195840, 209100), (196800, 208080), (200736, 204000)]