42000192000

素因数分解:

$2^9\times 3^2\times 5^3\times {\mathrm{13}}^1\times {\mathrm{71}}^1\times {\mathrm{79}}^1$

素因数の和:202

約数の個数: 960

約数和(自身を含む): 167299292160

約数和(自身を除く): 125299100160

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 25, 26, 30, 32, 36, 39, 40, 45, 48, 50, 52, 60, 64, 65, 71, 72, 75, 78, 79, 80, 90, 96, 100, 104, 117, 120, 125, 128, 130, 142, 144, 150, 156, 158, 160, 180, 192, 195, 200, 208, 213, 225, 234, 237, 240, 250, 256, 260, 284, 288, 300, 312, 316, 320, 325, 355, 360, 375, 384, 390, 395, 400, 416, 426, 450, 468, 474, 480, 500, 512, 520, 568, 576, 585, 600, 624, 632, 639, 640, 650, 710, 711, 720, 750, 768, 780, 790, 800, 832, 852, 900, 923, 936, 948, 960, 975, 1000, 1027, 1040, 1065, 1125, 1136, 1152, 1170, 1185, 1200, 1248, 1264, 1278, 1280, 1300, 1420, 1422, 1440, 1500, 1536, 1560, 1580, 1600, 1625, 1664, 1704, 1775, 1800, 1846, 1872, 1896, 1920, 1950, 1975, 2000, 2054, 2080, 2130, 2250, 2272, 2304, 2340, 2370, 2400, 2496, 2528, 2556, 2560, 2600, 2769, 2840, 2844, 2880, 2925, 3000, 3081, 3120, 3160, 3195, 3200, 3250, 3328, 3408, 3550, 3555, 3600, 3692, 3744, 3792, 3840, 3900, 3950, 4000, 4108, 4160, 4260, 4500, 4544, 4608, 4615, 4680, 4740, 4800, 4875, 4992, 5056, 5112, 5135, 5200, 5325, 5538, 5609, 5680, 5688, 5760, 5850, 5925, 6000, 6162, 6240, 6320, 6390, 6400, 6500, 6656, 6816, 7100, 7110, 7200, 7384, 7488, 7584, 7680, 7800, 7900, 8000, 8216, 8307, 8320, 8520, 8875, 9000, 9088, 9230, 9243, 9360, 9480, 9600, 9750, 9875, 9984, 10112, 10224, 10270, 10400, 10650, 11076, 11218, 11360, 11376, 11520, 11700, 11850, 12000, 12324, 12480, 12640, 12780, 12800, 13000, 13632, 13845, 14200, 14220, 14400, 14625, 14768, 14976, 15168, 15405, 15600, 15800, 15975, 16000, 16432, 16614, 16640, 16827, 17040, 17750, 17775, 18000, 18176, 18460, 18486, 18720, 18960, 19200, 19500, 19750, 19968, 20224, 20448, 20540, 20800, 21300, 22152, 22436, 22720, 22752, 23040, 23075, 23400, 23700, 24000, 24648, 24960, 25280, 25560, 25675, 26000, 26625, 27264, 27690, 28045, 28400, 28440, 28800, 29250, 29536, 29625, 29952, 30336, 30810, 31200, 31600, 31950, 32000, 32864, 33228, 33280, 33654, 34080, 35500, 35550, 36000, 36352, 36920, 36972, 37440, 37920, 38400, 39000, 39500, 40448, 40896, 41080, 41535, 41600, 42600, 44304, 44872, 45440, 45504, 46150, 46215, 46800, 47400, 48000, 49296, 49920, 50481, 50560, 51120, 51350, 52000, 53250, 54528, 55380, 56090, 56800, 56880, 57600, 58500, 59072, 59250, 59904, 60672, 61620, 62400, 63200, 63900, 64000, 65728, 66456, 67308, 68160, 69225, 71000, 71100, 72000, 72917, 73840, 73944, 74880, 75840, 77025, 78000, 79000, 79875, 81792, 82160, 83070, 83200, 84135, 85200, 88608, 88875, 89744, 90880, 91008, 92300, 92430, 93600, 94800, 96000, 98592, 99840, 100962, 101120, 102240, 102700, 104000, 106500, 109056, 110760, 112180, 113600, 113760, 115200, 115375, 117000, 118144, 118500, 121344, 123240, 124800, 126400, 127800, 128375, 131456, 132912, 134616, 136320, 138450, 140225, 142000, 142200, 144000, 145834, 147680, 147888, 149760, 151680, 154050, 156000, 158000, 159750, 163584, 164320, 166140, 166400, 168270, 170400, 177216, 177750, 179488, 181760, 182016, 184600, 184860, 187200, 189600, 192000, 197184, 201924, 202240, 204480, 205400, 207675, 208000, 213000, 218751, 221520, 224360, 227200, 227520, 230750, 231075, 234000, 236288, 237000, 246480, 249600, 252405, 252800, 255600, 256750, 262912, 265824, 269232, 272640, 276900, 280450, 284000, 284400, 288000, 291668, 295360, 295776, 299520, 303360, 308100, 312000, 316000, 319500, 327168, 328640, 332280, 336540, 340800, 346125, 354432, 355500, 358976, 364032, 364585, 369200, 369720, 374400, 379200, 385125, 394368, 403848, 408960, 410800, 415350, 416000, 420675, 426000, 437502, 443040, 448720, 454400, 455040, 461500, 462150, 468000, 472576, 474000, 492960, 499200, 504810, 505600, 511200, 513500, 525824, 531648, 538464, 545280, 553800, 560900, 568000, 568800, 576000, 583336, 590720, 591552, 606720, 616200, 624000, 632000, 639000, 656253, 657280, 664560, 673080, 681600, 692250, 701125, 708864, 711000, 717952, 729170, 738400, 739440, 748800, 758400, 770250, 788736, 807696, 817920, 821600, 830700, 832000, 841350, 852000, 875004, 886080, 897440, 908800, 910080, 923000, 924300, 936000, 948000, 985920, 1009620, 1011200, 1022400, 1027000, 1038375, 1063296, 1076928, 1093755, 1107600, 1121800, 1136000, 1137600, 1155375, 1166672, 1181440, 1183104, 1232400, 1248000, 1262025, 1264000, 1278000, 1312506, 1314560, 1329120, 1346160, 1363200, 1384500, 1402250, 1417728, 1422000, 1435904, 1458340, 1476800, 1478880, 1497600, 1516800, 1540500, 1577472, 1615392, 1635840, 1643200, 1661400, 1682700, 1704000, 1750008, 1772160, 1794880, 1820160, 1822925, 1846000, 1848600, 1872000, 1896000, 1971840, 2019240, 2044800, 2054000, 2076750, 2103375, 2126592, 2153856, 2187510, 2215200, 2243600, 2272000, 2275200, 2310750, 2333344, 2362880, 2366208, 2464800, 2496000, 2524050, 2528000, 2556000, 2625012, 2629120, 2658240, 2692320, 2726400, 2769000, 2804500, 2844000, 2871808, 2916680, 2953600, 2957760, 3033600, 3081000, 3230784, 3281265, 3286400, 3322800, 3365400, 3408000, 3500016, 3544320, 3589760, 3645850, 3692000, 3697200, 3744000, 3792000, 3943680, 4038480, 4089600, 4108000, 4153500, 4206750, 4253184, 4307712, 4375020, 4430400, 4487200, 4544000, 4550400, 4621500, 4666688, 4732416, 4929600, 5048100, 5056000, 5112000, 5250024, 5316480, 5384640, 5468775, 5538000, 5609000, 5688000, 5833360, 5907200, 5915520, 6162000, 6310125, 6461568, 6562530, 6572800, 6645600, 6730800, 6816000, 7000032, 7088640, 7179520, 7291700, 7384000, 7394400, 7488000, 7584000, 7887360, 8076960, 8179200, 8216000, 8307000, 8413500, 8615424, 8750040, 8860800, 8974400, 9100800, 9114625, 9243000, 9333376, 9859200, 10096200, 10224000, 10500048, 10632960, 10769280, 10937550, 11076000, 11218000, 11376000, 11666720, 11814400, 11831040, 12324000, 12620250, 12923136, 13125060, 13145600, 13291200, 13461600, 13632000, 14000064, 14359040, 14583400, 14768000, 14788800, 15168000, 16153920, 16406325, 16432000, 16614000, 16827000, 17500080, 17721600, 17948800, 18229250, 18486000, 18666752, 19718400, 20192400, 20448000, 21000096, 21265920, 21538560, 21875100, 22152000, 22436000, 22752000, 23333440, 23662080, 24648000, 25240500, 25846272, 26250120, 26582400, 26923200, 27343875, 28000128, 29166800, 29536000, 29577600, 32307840, 32812650, 32864000, 33228000, 33654000, 35000160, 35443200, 35897600, 36458500, 36972000, 37333504, 39436800, 40384800, 40896000, 42000192, 43077120, 43750200, 44304000, 44872000, 45504000, 46666880, 49296000, 50481000, 52500240, 53164800, 53846400, 54687750, 56000256, 58333600, 59072000, 59155200, 64615680, 65625300, 65728000, 66456000, 67308000, 70000320, 71795200, 72917000, 73944000, 80769600, 82031625, 84000384, 87500400, 88608000, 89744000, 93333760, 98592000, 100962000, 105000480, 106329600, 107692800, 109375500, 112000512, 116667200, 118310400, 129231360, 131250600, 132912000, 134616000, 140000640, 145834000, 147888000, 161539200, 164063250, 168000768, 175000800, 177216000, 179488000, 186667520, 197184000, 201924000, 210000960, 215385600, 218751000, 233334400, 262501200, 265824000, 269232000, 280001280, 291668000, 295776000, 323078400, 328126500, 336001536, 350001600, 358976000, 403848000, 420001920, 437502000, 466668800, 525002400, 531648000, 538464000, 560002560, 583336000, 591552000, 646156800, 656253000, 700003200, 807696000, 840003840, 875004000, 933337600, 1050004800, 1076928000, 1166672000, 1312506000, 1400006400, 1615392000, 1680007680, 1750008000, 2100009600, 2333344000, 2625012000, 2800012800, 3230784000, 3500016000, 4200019200, 4666688000, 5250024000, 7000032000, 8400038400, 10500048000, 14000064000, 21000096000, 42000192000]

約数ペア:

[(1, 42000192000), (2, 21000096000), (3, 14000064000), (4, 10500048000), (5, 8400038400), (6, 7000032000), (8, 5250024000), (9, 4666688000), (10, 4200019200), (12, 3500016000), (13, 3230784000), (15, 2800012800), (16, 2625012000), (18, 2333344000), (20, 2100009600), (24, 1750008000), (25, 1680007680), (26, 1615392000), (30, 1400006400), (32, 1312506000), (36, 1166672000), (39, 1076928000), (40, 1050004800), (45, 933337600), (48, 875004000), (50, 840003840), (52, 807696000), (60, 700003200), (64, 656253000), (65, 646156800), (71, 591552000), (72, 583336000), (75, 560002560), (78, 538464000), (79, 531648000), (80, 525002400), (90, 466668800), (96, 437502000), (100, 420001920), (104, 403848000), (117, 358976000), (120, 350001600), (125, 336001536), (128, 328126500), (130, 323078400), (142, 295776000), (144, 291668000), (150, 280001280), (156, 269232000), (158, 265824000), (160, 262501200), (180, 233334400), (192, 218751000), (195, 215385600), (200, 210000960), (208, 201924000), (213, 197184000), (225, 186667520), (234, 179488000), (237, 177216000), (240, 175000800), (250, 168000768), (256, 164063250), (260, 161539200), (284, 147888000), (288, 145834000), (300, 140000640), (312, 134616000), (316, 132912000), (320, 131250600), (325, 129231360), (355, 118310400), (360, 116667200), (375, 112000512), (384, 109375500), (390, 107692800), (395, 106329600), (400, 105000480), (416, 100962000), (426, 98592000), (450, 93333760), (468, 89744000), (474, 88608000), (480, 87500400), (500, 84000384), (512, 82031625), (520, 80769600), (568, 73944000), (576, 72917000), (585, 71795200), (600, 70000320), (624, 67308000), (632, 66456000), (639, 65728000), (640, 65625300), (650, 64615680), (710, 59155200), (711, 59072000), (720, 58333600), (750, 56000256), (768, 54687750), (780, 53846400), (790, 53164800), (800, 52500240), (832, 50481000), (852, 49296000), (900, 46666880), (923, 45504000), (936, 44872000), (948, 44304000), (960, 43750200), (975, 43077120), (1000, 42000192), (1027, 40896000), (1040, 40384800), (1065, 39436800), (1125, 37333504), (1136, 36972000), (1152, 36458500), (1170, 35897600), (1185, 35443200), (1200, 35000160), (1248, 33654000), (1264, 33228000), (1278, 32864000), (1280, 32812650), (1300, 32307840), (1420, 29577600), (1422, 29536000), (1440, 29166800), (1500, 28000128), (1536, 27343875), (1560, 26923200), (1580, 26582400), (1600, 26250120), (1625, 25846272), (1664, 25240500), (1704, 24648000), (1775, 23662080), (1800, 23333440), (1846, 22752000), (1872, 22436000), (1896, 22152000), (1920, 21875100), (1950, 21538560), (1975, 21265920), (2000, 21000096), (2054, 20448000), (2080, 20192400), (2130, 19718400), (2250, 18666752), (2272, 18486000), (2304, 18229250), (2340, 17948800), (2370, 17721600), (2400, 17500080), (2496, 16827000), (2528, 16614000), (2556, 16432000), (2560, 16406325), (2600, 16153920), (2769, 15168000), (2840, 14788800), (2844, 14768000), (2880, 14583400), (2925, 14359040), (3000, 14000064), (3081, 13632000), (3120, 13461600), (3160, 13291200), (3195, 13145600), (3200, 13125060), (3250, 12923136), (3328, 12620250), (3408, 12324000), (3550, 11831040), (3555, 11814400), (3600, 11666720), (3692, 11376000), (3744, 11218000), (3792, 11076000), (3840, 10937550), (3900, 10769280), (3950, 10632960), (4000, 10500048), (4108, 10224000), (4160, 10096200), (4260, 9859200), (4500, 9333376), (4544, 9243000), (4608, 9114625), (4615, 9100800), (4680, 8974400), (4740, 8860800), (4800, 8750040), (4875, 8615424), (4992, 8413500), (5056, 8307000), (5112, 8216000), (5135, 8179200), (5200, 8076960), (5325, 7887360), (5538, 7584000), (5609, 7488000), (5680, 7394400), (5688, 7384000), (5760, 7291700), (5850, 7179520), (5925, 7088640), (6000, 7000032), (6162, 6816000), (6240, 6730800), (6320, 6645600), (6390, 6572800), (6400, 6562530), (6500, 6461568), (6656, 6310125), (6816, 6162000), (7100, 5915520), (7110, 5907200), (7200, 5833360), (7384, 5688000), (7488, 5609000), (7584, 5538000), (7680, 5468775), (7800, 5384640), (7900, 5316480), (8000, 5250024), (8216, 5112000), (8307, 5056000), (8320, 5048100), (8520, 4929600), (8875, 4732416), (9000, 4666688), (9088, 4621500), (9230, 4550400), (9243, 4544000), (9360, 4487200), (9480, 4430400), (9600, 4375020), (9750, 4307712), (9875, 4253184), (9984, 4206750), (10112, 4153500), (10224, 4108000), (10270, 4089600), (10400, 4038480), (10650, 3943680), (11076, 3792000), (11218, 3744000), (11360, 3697200), (11376, 3692000), (11520, 3645850), (11700, 3589760), (11850, 3544320), (12000, 3500016), (12324, 3408000), (12480, 3365400), (12640, 3322800), (12780, 3286400), (12800, 3281265), (13000, 3230784), (13632, 3081000), (13845, 3033600), (14200, 2957760), (14220, 2953600), (14400, 2916680), (14625, 2871808), (14768, 2844000), (14976, 2804500), (15168, 2769000), (15405, 2726400), (15600, 2692320), (15800, 2658240), (15975, 2629120), (16000, 2625012), (16432, 2556000), (16614, 2528000), (16640, 2524050), (16827, 2496000), (17040, 2464800), (17750, 2366208), (17775, 2362880), (18000, 2333344), (18176, 2310750), (18460, 2275200), (18486, 2272000), (18720, 2243600), (18960, 2215200), (19200, 2187510), (19500, 2153856), (19750, 2126592), (19968, 2103375), (20224, 2076750), (20448, 2054000), (20540, 2044800), (20800, 2019240), (21300, 1971840), (22152, 1896000), (22436, 1872000), (22720, 1848600), (22752, 1846000), (23040, 1822925), (23075, 1820160), (23400, 1794880), (23700, 1772160), (24000, 1750008), (24648, 1704000), (24960, 1682700), (25280, 1661400), (25560, 1643200), (25675, 1635840), (26000, 1615392), (26625, 1577472), (27264, 1540500), (27690, 1516800), (28045, 1497600), (28400, 1478880), (28440, 1476800), (28800, 1458340), (29250, 1435904), (29536, 1422000), (29625, 1417728), (29952, 1402250), (30336, 1384500), (30810, 1363200), (31200, 1346160), (31600, 1329120), (31950, 1314560), (32000, 1312506), (32864, 1278000), (33228, 1264000), (33280, 1262025), (33654, 1248000), (34080, 1232400), (35500, 1183104), (35550, 1181440), (36000, 1166672), (36352, 1155375), (36920, 1137600), (36972, 1136000), (37440, 1121800), (37920, 1107600), (38400, 1093755), (39000, 1076928), (39500, 1063296), (40448, 1038375), (40896, 1027000), (41080, 1022400), (41535, 1011200), (41600, 1009620), (42600, 985920), (44304, 948000), (44872, 936000), (45440, 924300), (45504, 923000), (46150, 910080), (46215, 908800), (46800, 897440), (47400, 886080), (48000, 875004), (49296, 852000), (49920, 841350), (50481, 832000), (50560, 830700), (51120, 821600), (51350, 817920), (52000, 807696), (53250, 788736), (54528, 770250), (55380, 758400), (56090, 748800), (56800, 739440), (56880, 738400), (57600, 729170), (58500, 717952), (59072, 711000), (59250, 708864), (59904, 701125), (60672, 692250), (61620, 681600), (62400, 673080), (63200, 664560), (63900, 657280), (64000, 656253), (65728, 639000), (66456, 632000), (67308, 624000), (68160, 616200), (69225, 606720), (71000, 591552), (71100, 590720), (72000, 583336), (72917, 576000), (73840, 568800), (73944, 568000), (74880, 560900), (75840, 553800), (77025, 545280), (78000, 538464), (79000, 531648), (79875, 525824), (81792, 513500), (82160, 511200), (83070, 505600), (83200, 504810), (84135, 499200), (85200, 492960), (88608, 474000), (88875, 472576), (89744, 468000), (90880, 462150), (91008, 461500), (92300, 455040), (92430, 454400), (93600, 448720), (94800, 443040), (96000, 437502), (98592, 426000), (99840, 420675), (100962, 416000), (101120, 415350), (102240, 410800), (102700, 408960), (104000, 403848), (106500, 394368), (109056, 385125), (110760, 379200), (112180, 374400), (113600, 369720), (113760, 369200), (115200, 364585), (115375, 364032), (117000, 358976), (118144, 355500), (118500, 354432), (121344, 346125), (123240, 340800), (124800, 336540), (126400, 332280), (127800, 328640), (128375, 327168), (131456, 319500), (132912, 316000), (134616, 312000), (136320, 308100), (138450, 303360), (140225, 299520), (142000, 295776), (142200, 295360), (144000, 291668), (145834, 288000), (147680, 284400), (147888, 284000), (149760, 280450), (151680, 276900), (154050, 272640), (156000, 269232), (158000, 265824), (159750, 262912), (163584, 256750), (164320, 255600), (166140, 252800), (166400, 252405), (168270, 249600), (170400, 246480), (177216, 237000), (177750, 236288), (179488, 234000), (181760, 231075), (182016, 230750), (184600, 227520), (184860, 227200), (187200, 224360), (189600, 221520), (192000, 218751), (197184, 213000), (201924, 208000), (202240, 207675), (204480, 205400)]