90101376000

素因数分解:

$2^{10}\times 3^3\times 5^3\times {\mathrm{29}}^2\times {\mathrm{31}}^1$

素因数の和:133

約数の個数: 1056

約数和(自身を含む): 356016860160

約数和(自身を除く): 265915484160

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 29, 30, 31, 32, 36, 40, 45, 48, 50, 54, 58, 60, 62, 64, 72, 75, 80, 87, 90, 93, 96, 100, 108, 116, 120, 124, 125, 128, 135, 144, 145, 150, 155, 160, 174, 180, 186, 192, 200, 216, 225, 232, 240, 248, 250, 256, 261, 270, 279, 288, 290, 300, 310, 320, 348, 360, 372, 375, 384, 400, 432, 435, 450, 464, 465, 480, 496, 500, 512, 522, 540, 558, 576, 580, 600, 620, 640, 675, 696, 720, 725, 744, 750, 768, 775, 783, 800, 837, 841, 864, 870, 899, 900, 928, 930, 960, 992, 1000, 1024, 1044, 1080, 1116, 1125, 1152, 1160, 1200, 1240, 1280, 1305, 1350, 1392, 1395, 1440, 1450, 1488, 1500, 1536, 1550, 1566, 1600, 1674, 1682, 1728, 1740, 1798, 1800, 1856, 1860, 1920, 1984, 2000, 2088, 2160, 2175, 2232, 2250, 2304, 2320, 2325, 2400, 2480, 2523, 2560, 2610, 2697, 2700, 2784, 2790, 2880, 2900, 2976, 3000, 3072, 3100, 3132, 3200, 3348, 3364, 3375, 3456, 3480, 3596, 3600, 3625, 3712, 3720, 3840, 3875, 3915, 3968, 4000, 4176, 4185, 4205, 4320, 4350, 4464, 4495, 4500, 4608, 4640, 4650, 4800, 4960, 5046, 5120, 5220, 5394, 5400, 5568, 5580, 5760, 5800, 5952, 6000, 6200, 6264, 6400, 6525, 6696, 6728, 6750, 6912, 6960, 6975, 7192, 7200, 7250, 7424, 7440, 7569, 7680, 7750, 7830, 7936, 8000, 8091, 8352, 8370, 8410, 8640, 8700, 8928, 8990, 9000, 9216, 9280, 9300, 9600, 9920, 10092, 10440, 10788, 10800, 10875, 11136, 11160, 11520, 11600, 11625, 11904, 12000, 12400, 12528, 12615, 12800, 13050, 13392, 13456, 13485, 13500, 13824, 13920, 13950, 14384, 14400, 14500, 14848, 14880, 15138, 15360, 15500, 15660, 15872, 16000, 16182, 16704, 16740, 16820, 17280, 17400, 17856, 17980, 18000, 18560, 18600, 19200, 19575, 19840, 20184, 20880, 20925, 21025, 21576, 21600, 21750, 22272, 22320, 22475, 22707, 23040, 23200, 23250, 23808, 24000, 24273, 24800, 25056, 25230, 25600, 26071, 26100, 26784, 26912, 26970, 27000, 27648, 27840, 27900, 28768, 28800, 29000, 29696, 29760, 30276, 31000, 31320, 31744, 32000, 32364, 32625, 33408, 33480, 33640, 34560, 34800, 34875, 35712, 35960, 36000, 37120, 37200, 37845, 38400, 39150, 39680, 40368, 40455, 41760, 41850, 42050, 43152, 43200, 43500, 44544, 44640, 44950, 45414, 46080, 46400, 46500, 47616, 48000, 48546, 49600, 50112, 50460, 52142, 52200, 53568, 53824, 53940, 54000, 55680, 55800, 57536, 57600, 58000, 59520, 60552, 62000, 62640, 63075, 64000, 64728, 65250, 66816, 66960, 67280, 67425, 69120, 69600, 69750, 71424, 71920, 72000, 74240, 74400, 75690, 76800, 78213, 78300, 79360, 80736, 80910, 83520, 83700, 84100, 86304, 86400, 87000, 89088, 89280, 89900, 90828, 92800, 93000, 95232, 96000, 97092, 97875, 99200, 100224, 100920, 104284, 104400, 104625, 105125, 107136, 107648, 107880, 108000, 111360, 111600, 112375, 113535, 115072, 115200, 116000, 119040, 121104, 121365, 124000, 125280, 126150, 128000, 129456, 130355, 130500, 133632, 133920, 134560, 134850, 138240, 139200, 139500, 142848, 143840, 144000, 148480, 148800, 151380, 156426, 156600, 158720, 161472, 161820, 167040, 167400, 168200, 172608, 172800, 174000, 178560, 179800, 181656, 185600, 186000, 189225, 192000, 194184, 195750, 198400, 200448, 201840, 202275, 208568, 208800, 209250, 210250, 214272, 215296, 215760, 216000, 222720, 223200, 224750, 227070, 230144, 230400, 232000, 234639, 238080, 242208, 242730, 248000, 250560, 252300, 258912, 260710, 261000, 267264, 267840, 269120, 269700, 278400, 279000, 285696, 287680, 288000, 297600, 302760, 312852, 313200, 315375, 322944, 323640, 334080, 334800, 336400, 337125, 345216, 345600, 348000, 357120, 359600, 363312, 371200, 372000, 378450, 384000, 388368, 391065, 391500, 396800, 400896, 403680, 404550, 417136, 417600, 418500, 420500, 428544, 430592, 431520, 432000, 445440, 446400, 449500, 454140, 460288, 464000, 469278, 476160, 484416, 485460, 496000, 501120, 504600, 517824, 521420, 522000, 535680, 538240, 539400, 556800, 558000, 567675, 575360, 576000, 595200, 605520, 606825, 625704, 626400, 630750, 645888, 647280, 651775, 668160, 669600, 672800, 674250, 690432, 691200, 696000, 703917, 714240, 719200, 726624, 742400, 744000, 756900, 776736, 782130, 783000, 793600, 801792, 807360, 809100, 834272, 835200, 837000, 841000, 857088, 861184, 863040, 864000, 892800, 899000, 908280, 920576, 928000, 938556, 946125, 968832, 970920, 992000, 1002240, 1009200, 1011375, 1035648, 1042840, 1044000, 1071360, 1076480, 1078800, 1113600, 1116000, 1135350, 1150720, 1152000, 1173195, 1190400, 1211040, 1213650, 1251408, 1252800, 1261500, 1291776, 1294560, 1303550, 1336320, 1339200, 1345600, 1348500, 1380864, 1392000, 1407834, 1428480, 1438400, 1453248, 1488000, 1513800, 1553472, 1564260, 1566000, 1614720, 1618200, 1668544, 1670400, 1674000, 1682000, 1726080, 1728000, 1785600, 1798000, 1816560, 1856000, 1877112, 1892250, 1937664, 1941840, 1955325, 1984000, 2004480, 2018400, 2022750, 2071296, 2085680, 2088000, 2142720, 2152960, 2157600, 2227200, 2232000, 2270700, 2301440, 2346390, 2380800, 2422080, 2427300, 2502816, 2505600, 2523000, 2583552, 2589120, 2607100, 2678400, 2691200, 2697000, 2761728, 2784000, 2815668, 2838375, 2876800, 2906496, 2976000, 3027600, 3034125, 3106944, 3128520, 3132000, 3229440, 3236400, 3258875, 3337088, 3340800, 3348000, 3364000, 3452160, 3456000, 3519585, 3571200, 3596000, 3633120, 3712000, 3754224, 3784500, 3875328, 3883680, 3910650, 3968000, 4008960, 4036800, 4045500, 4142592, 4171360, 4176000, 4285440, 4305920, 4315200, 4464000, 4541400, 4602880, 4692780, 4844160, 4854600, 5005632, 5011200, 5046000, 5178240, 5214200, 5356800, 5382400, 5394000, 5568000, 5631336, 5676750, 5753600, 5812992, 5865975, 5952000, 6055200, 6068250, 6213888, 6257040, 6264000, 6458880, 6472800, 6517750, 6674176, 6681600, 6696000, 6728000, 6904320, 7039170, 7142400, 7192000, 7266240, 7508448, 7569000, 7750656, 7767360, 7821300, 8073600, 8091000, 8285184, 8342720, 8352000, 8630400, 8928000, 9082800, 9385560, 9688320, 9709200, 9776625, 10011264, 10022400, 10092000, 10356480, 10428400, 10713600, 10764800, 10788000, 11136000, 11262672, 11353500, 11507200, 11625984, 11731950, 11904000, 12110400, 12136500, 12427776, 12514080, 12528000, 12917760, 12945600, 13035500, 13348352, 13392000, 13456000, 13808640, 14078340, 14384000, 14532480, 15016896, 15138000, 15534720, 15642600, 16147200, 16182000, 16685440, 16704000, 17260800, 17597925, 17856000, 18165600, 18771120, 19376640, 19418400, 19553250, 20022528, 20044800, 20184000, 20712960, 20856800, 21427200, 21529600, 21576000, 22525344, 22707000, 23014400, 23251968, 23463900, 24220800, 24273000, 24855552, 25028160, 25056000, 25891200, 26071000, 26696704, 26784000, 26912000, 28156680, 28768000, 29064960, 29329875, 30033792, 30276000, 31069440, 31285200, 32294400, 32364000, 33370880, 33408000, 34521600, 35195850, 35712000, 36331200, 37542240, 38753280, 38836800, 39106500, 40045056, 40368000, 41425920, 41713600, 43152000, 45050688, 45414000, 46927800, 48441600, 48546000, 50056320, 50112000, 51782400, 52142000, 53568000, 53824000, 56313360, 57536000, 58129920, 58659750, 60067584, 60552000, 62138880, 62570400, 64588800, 64728000, 66741760, 69043200, 70391700, 72662400, 75084480, 77673600, 78213000, 80090112, 80736000, 83427200, 86304000, 87989625, 90101376, 90828000, 93855600, 96883200, 97092000, 100112640, 100224000, 103564800, 104284000, 107136000, 107648000, 112626720, 115072000, 116259840, 117319500, 120135168, 121104000, 124277760, 125140800, 129456000, 133483520, 140783400, 145324800, 150168960, 155347200, 156426000, 161472000, 166854400, 172608000, 175979250, 180202752, 181656000, 187711200, 193766400, 194184000, 200225280, 207129600, 208568000, 225253440, 234639000, 240270336, 242208000, 250281600, 258912000, 281566800, 290649600, 300337920, 310694400, 312852000, 322944000, 333708800, 345216000, 351958500, 360405504, 363312000, 375422400, 388368000, 400450560, 417136000, 450506880, 469278000, 484416000, 500563200, 517824000, 563133600, 581299200, 600675840, 621388800, 625704000, 667417600, 703917000, 720811008, 726624000, 750844800, 776736000, 834272000, 901013760, 938556000, 968832000, 1001126400, 1035648000, 1126267200, 1201351680, 1251408000, 1407834000, 1453248000, 1501689600, 1553472000, 1668544000, 1802027520, 1877112000, 2002252800, 2252534400, 2502816000, 2815668000, 2906496000, 3003379200, 3106944000, 3337088000, 3604055040, 3754224000, 4505068800, 5005632000, 5631336000, 6006758400, 7508448000, 9010137600, 10011264000, 11262672000, 15016896000, 18020275200, 22525344000, 30033792000, 45050688000, 90101376000]

約数ペア:

[(1, 90101376000), (2, 45050688000), (3, 30033792000), (4, 22525344000), (5, 18020275200), (6, 15016896000), (8, 11262672000), (9, 10011264000), (10, 9010137600), (12, 7508448000), (15, 6006758400), (16, 5631336000), (18, 5005632000), (20, 4505068800), (24, 3754224000), (25, 3604055040), (27, 3337088000), (29, 3106944000), (30, 3003379200), (31, 2906496000), (32, 2815668000), (36, 2502816000), (40, 2252534400), (45, 2002252800), (48, 1877112000), (50, 1802027520), (54, 1668544000), (58, 1553472000), (60, 1501689600), (62, 1453248000), (64, 1407834000), (72, 1251408000), (75, 1201351680), (80, 1126267200), (87, 1035648000), (90, 1001126400), (93, 968832000), (96, 938556000), (100, 901013760), (108, 834272000), (116, 776736000), (120, 750844800), (124, 726624000), (125, 720811008), (128, 703917000), (135, 667417600), (144, 625704000), (145, 621388800), (150, 600675840), (155, 581299200), (160, 563133600), (174, 517824000), (180, 500563200), (186, 484416000), (192, 469278000), (200, 450506880), (216, 417136000), (225, 400450560), (232, 388368000), (240, 375422400), (248, 363312000), (250, 360405504), (256, 351958500), (261, 345216000), (270, 333708800), (279, 322944000), (288, 312852000), (290, 310694400), (300, 300337920), (310, 290649600), (320, 281566800), (348, 258912000), (360, 250281600), (372, 242208000), (375, 240270336), (384, 234639000), (400, 225253440), (432, 208568000), (435, 207129600), (450, 200225280), (464, 194184000), (465, 193766400), (480, 187711200), (496, 181656000), (500, 180202752), (512, 175979250), (522, 172608000), (540, 166854400), (558, 161472000), (576, 156426000), (580, 155347200), (600, 150168960), (620, 145324800), (640, 140783400), (675, 133483520), (696, 129456000), (720, 125140800), (725, 124277760), (744, 121104000), (750, 120135168), (768, 117319500), (775, 116259840), (783, 115072000), (800, 112626720), (837, 107648000), (841, 107136000), (864, 104284000), (870, 103564800), (899, 100224000), (900, 100112640), (928, 97092000), (930, 96883200), (960, 93855600), (992, 90828000), (1000, 90101376), (1024, 87989625), (1044, 86304000), (1080, 83427200), (1116, 80736000), (1125, 80090112), (1152, 78213000), (1160, 77673600), (1200, 75084480), (1240, 72662400), (1280, 70391700), (1305, 69043200), (1350, 66741760), (1392, 64728000), (1395, 64588800), (1440, 62570400), (1450, 62138880), (1488, 60552000), (1500, 60067584), (1536, 58659750), (1550, 58129920), (1566, 57536000), (1600, 56313360), (1674, 53824000), (1682, 53568000), (1728, 52142000), (1740, 51782400), (1798, 50112000), (1800, 50056320), (1856, 48546000), (1860, 48441600), (1920, 46927800), (1984, 45414000), (2000, 45050688), (2088, 43152000), (2160, 41713600), (2175, 41425920), (2232, 40368000), (2250, 40045056), (2304, 39106500), (2320, 38836800), (2325, 38753280), (2400, 37542240), (2480, 36331200), (2523, 35712000), (2560, 35195850), (2610, 34521600), (2697, 33408000), (2700, 33370880), (2784, 32364000), (2790, 32294400), (2880, 31285200), (2900, 31069440), (2976, 30276000), (3000, 30033792), (3072, 29329875), (3100, 29064960), (3132, 28768000), (3200, 28156680), (3348, 26912000), (3364, 26784000), (3375, 26696704), (3456, 26071000), (3480, 25891200), (3596, 25056000), (3600, 25028160), (3625, 24855552), (3712, 24273000), (3720, 24220800), (3840, 23463900), (3875, 23251968), (3915, 23014400), (3968, 22707000), (4000, 22525344), (4176, 21576000), (4185, 21529600), (4205, 21427200), (4320, 20856800), (4350, 20712960), (4464, 20184000), (4495, 20044800), (4500, 20022528), (4608, 19553250), (4640, 19418400), (4650, 19376640), (4800, 18771120), (4960, 18165600), (5046, 17856000), (5120, 17597925), (5220, 17260800), (5394, 16704000), (5400, 16685440), (5568, 16182000), (5580, 16147200), (5760, 15642600), (5800, 15534720), (5952, 15138000), (6000, 15016896), (6200, 14532480), (6264, 14384000), (6400, 14078340), (6525, 13808640), (6696, 13456000), (6728, 13392000), (6750, 13348352), (6912, 13035500), (6960, 12945600), (6975, 12917760), (7192, 12528000), (7200, 12514080), (7250, 12427776), (7424, 12136500), (7440, 12110400), (7569, 11904000), (7680, 11731950), (7750, 11625984), (7830, 11507200), (7936, 11353500), (8000, 11262672), (8091, 11136000), (8352, 10788000), (8370, 10764800), (8410, 10713600), (8640, 10428400), (8700, 10356480), (8928, 10092000), (8990, 10022400), (9000, 10011264), (9216, 9776625), (9280, 9709200), (9300, 9688320), (9600, 9385560), (9920, 9082800), (10092, 8928000), (10440, 8630400), (10788, 8352000), (10800, 8342720), (10875, 8285184), (11136, 8091000), (11160, 8073600), (11520, 7821300), (11600, 7767360), (11625, 7750656), (11904, 7569000), (12000, 7508448), (12400, 7266240), (12528, 7192000), (12615, 7142400), (12800, 7039170), (13050, 6904320), (13392, 6728000), (13456, 6696000), (13485, 6681600), (13500, 6674176), (13824, 6517750), (13920, 6472800), (13950, 6458880), (14384, 6264000), (14400, 6257040), (14500, 6213888), (14848, 6068250), (14880, 6055200), (15138, 5952000), (15360, 5865975), (15500, 5812992), (15660, 5753600), (15872, 5676750), (16000, 5631336), (16182, 5568000), (16704, 5394000), (16740, 5382400), (16820, 5356800), (17280, 5214200), (17400, 5178240), (17856, 5046000), (17980, 5011200), (18000, 5005632), (18560, 4854600), (18600, 4844160), (19200, 4692780), (19575, 4602880), (19840, 4541400), (20184, 4464000), (20880, 4315200), (20925, 4305920), (21025, 4285440), (21576, 4176000), (21600, 4171360), (21750, 4142592), (22272, 4045500), (22320, 4036800), (22475, 4008960), (22707, 3968000), (23040, 3910650), (23200, 3883680), (23250, 3875328), (23808, 3784500), (24000, 3754224), (24273, 3712000), (24800, 3633120), (25056, 3596000), (25230, 3571200), (25600, 3519585), (26071, 3456000), (26100, 3452160), (26784, 3364000), (26912, 3348000), (26970, 3340800), (27000, 3337088), (27648, 3258875), (27840, 3236400), (27900, 3229440), (28768, 3132000), (28800, 3128520), (29000, 3106944), (29696, 3034125), (29760, 3027600), (30276, 2976000), (31000, 2906496), (31320, 2876800), (31744, 2838375), (32000, 2815668), (32364, 2784000), (32625, 2761728), (33408, 2697000), (33480, 2691200), (33640, 2678400), (34560, 2607100), (34800, 2589120), (34875, 2583552), (35712, 2523000), (35960, 2505600), (36000, 2502816), (37120, 2427300), (37200, 2422080), (37845, 2380800), (38400, 2346390), (39150, 2301440), (39680, 2270700), (40368, 2232000), (40455, 2227200), (41760, 2157600), (41850, 2152960), (42050, 2142720), (43152, 2088000), (43200, 2085680), (43500, 2071296), (44544, 2022750), (44640, 2018400), (44950, 2004480), (45414, 1984000), (46080, 1955325), (46400, 1941840), (46500, 1937664), (47616, 1892250), (48000, 1877112), (48546, 1856000), (49600, 1816560), (50112, 1798000), (50460, 1785600), (52142, 1728000), (52200, 1726080), (53568, 1682000), (53824, 1674000), (53940, 1670400), (54000, 1668544), (55680, 1618200), (55800, 1614720), (57536, 1566000), (57600, 1564260), (58000, 1553472), (59520, 1513800), (60552, 1488000), (62000, 1453248), (62640, 1438400), (63075, 1428480), (64000, 1407834), (64728, 1392000), (65250, 1380864), (66816, 1348500), (66960, 1345600), (67280, 1339200), (67425, 1336320), (69120, 1303550), (69600, 1294560), (69750, 1291776), (71424, 1261500), (71920, 1252800), (72000, 1251408), (74240, 1213650), (74400, 1211040), (75690, 1190400), (76800, 1173195), (78213, 1152000), (78300, 1150720), (79360, 1135350), (80736, 1116000), (80910, 1113600), (83520, 1078800), (83700, 1076480), (84100, 1071360), (86304, 1044000), (86400, 1042840), (87000, 1035648), (89088, 1011375), (89280, 1009200), (89900, 1002240), (90828, 992000), (92800, 970920), (93000, 968832), (95232, 946125), (96000, 938556), (97092, 928000), (97875, 920576), (99200, 908280), (100224, 899000), (100920, 892800), (104284, 864000), (104400, 863040), (104625, 861184), (105125, 857088), (107136, 841000), (107648, 837000), (107880, 835200), (108000, 834272), (111360, 809100), (111600, 807360), (112375, 801792), (113535, 793600), (115072, 783000), (115200, 782130), (116000, 776736), (119040, 756900), (121104, 744000), (121365, 742400), (124000, 726624), (125280, 719200), (126150, 714240), (128000, 703917), (129456, 696000), (130355, 691200), (130500, 690432), (133632, 674250), (133920, 672800), (134560, 669600), (134850, 668160), (138240, 651775), (139200, 647280), (139500, 645888), (142848, 630750), (143840, 626400), (144000, 625704), (148480, 606825), (148800, 605520), (151380, 595200), (156426, 576000), (156600, 575360), (158720, 567675), (161472, 558000), (161820, 556800), (167040, 539400), (167400, 538240), (168200, 535680), (172608, 522000), (172800, 521420), (174000, 517824), (178560, 504600), (179800, 501120), (181656, 496000), (185600, 485460), (186000, 484416), (189225, 476160), (192000, 469278), (194184, 464000), (195750, 460288), (198400, 454140), (200448, 449500), (201840, 446400), (202275, 445440), (208568, 432000), (208800, 431520), (209250, 430592), (210250, 428544), (214272, 420500), (215296, 418500), (215760, 417600), (216000, 417136), (222720, 404550), (223200, 403680), (224750, 400896), (227070, 396800), (230144, 391500), (230400, 391065), (232000, 388368), (234639, 384000), (238080, 378450), (242208, 372000), (242730, 371200), (248000, 363312), (250560, 359600), (252300, 357120), (258912, 348000), (260710, 345600), (261000, 345216), (267264, 337125), (267840, 336400), (269120, 334800), (269700, 334080), (278400, 323640), (279000, 322944), (285696, 315375), (287680, 313200), (288000, 312852), (297600, 302760)]