42728112000

素因数分解:

$2^7\times 3^2\times 5^3\times 7^1\times {\mathrm{19}}^1\times {\mathrm{23}}^1\times {\mathrm{97}}^1$

素因数の和:181

約数の個数: 1536

約数和(自身を含む): 194610124800

約数和(自身を除く): 151882012800

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 19, 20, 21, 23, 24, 25, 28, 30, 32, 35, 36, 38, 40, 42, 45, 46, 48, 50, 56, 57, 60, 63, 64, 69, 70, 72, 75, 76, 80, 84, 90, 92, 95, 96, 97, 100, 105, 112, 114, 115, 120, 125, 126, 128, 133, 138, 140, 144, 150, 152, 160, 161, 168, 171, 175, 180, 184, 190, 192, 194, 200, 207, 210, 224, 225, 228, 230, 240, 250, 252, 266, 276, 280, 285, 288, 291, 300, 304, 315, 320, 322, 336, 342, 345, 350, 360, 368, 375, 380, 384, 388, 399, 400, 414, 420, 437, 448, 450, 456, 460, 475, 480, 483, 485, 500, 504, 525, 532, 552, 560, 570, 575, 576, 582, 600, 608, 630, 640, 644, 665, 672, 679, 684, 690, 700, 720, 736, 750, 760, 776, 798, 800, 805, 828, 840, 855, 873, 874, 875, 896, 900, 912, 920, 950, 960, 966, 970, 1000, 1008, 1035, 1050, 1064, 1104, 1120, 1125, 1140, 1150, 1152, 1164, 1197, 1200, 1216, 1260, 1288, 1311, 1330, 1344, 1358, 1368, 1380, 1400, 1425, 1440, 1449, 1455, 1472, 1500, 1520, 1552, 1575, 1596, 1600, 1610, 1656, 1680, 1710, 1725, 1746, 1748, 1750, 1800, 1824, 1840, 1843, 1900, 1920, 1932, 1940, 1995, 2000, 2016, 2037, 2070, 2100, 2128, 2185, 2208, 2231, 2240, 2250, 2280, 2300, 2328, 2375, 2394, 2400, 2415, 2425, 2432, 2520, 2576, 2622, 2625, 2660, 2688, 2716, 2736, 2760, 2800, 2850, 2875, 2880, 2898, 2910, 2944, 3000, 3040, 3059, 3104, 3150, 3192, 3200, 3220, 3312, 3325, 3360, 3395, 3420, 3450, 3492, 3496, 3500, 3600, 3648, 3680, 3686, 3800, 3864, 3880, 3933, 3990, 4000, 4025, 4032, 4074, 4140, 4200, 4256, 4275, 4365, 4370, 4416, 4462, 4480, 4500, 4560, 4600, 4656, 4750, 4788, 4800, 4830, 4850, 5040, 5152, 5175, 5244, 5250, 5320, 5432, 5472, 5520, 5529, 5600, 5700, 5750, 5760, 5796, 5820, 5985, 6000, 6080, 6111, 6118, 6208, 6300, 6384, 6440, 6555, 6624, 6650, 6693, 6720, 6790, 6840, 6900, 6984, 6992, 7000, 7125, 7200, 7245, 7275, 7296, 7360, 7372, 7600, 7728, 7760, 7866, 7875, 7980, 8000, 8050, 8064, 8148, 8280, 8400, 8512, 8550, 8625, 8730, 8740, 8832, 8924, 9000, 9120, 9177, 9200, 9215, 9312, 9500, 9576, 9600, 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31920, 32200, 32592, 32775, 33120, 33174, 33250, 33465, 33600, 33950, 34200, 34500, 34920, 34960, 35696, 36000, 36225, 36375, 36480, 36708, 36800, 36860, 37248, 38000, 38304, 38640, 38703, 38800, 39330, 39900, 40158, 40250, 40320, 40740, 41400, 41952, 42000, 42389, 42560, 42750, 43456, 43650, 43700, 44160, 44232, 44620, 45600, 45885, 46000, 46075, 46368, 46560, 46851, 47880, 48000, 48300, 48500, 48888, 48944, 49875, 50400, 50925, 51072, 51520, 51604, 51750, 52440, 53200, 53544, 54320, 54625, 54720, 55062, 55200, 55290, 55775, 55872, 55936, 56000, 57000, 57960, 58200, 58976, 59850, 60375, 60800, 61110, 61180, 61824, 62080, 62468, 62928, 63000, 63840, 64400, 64505, 65184, 65550, 66240, 66348, 66500, 66930, 67200, 67900, 68400, 69000, 69840, 69920, 71392, 72000, 72450, 72750, 73416, 73600, 73720, 76000, 76475, 76608, 77280, 77406, 77600, 78085, 78660, 79800, 80316, 80500, 81480, 82800, 82935, 83904, 84000, 84778, 84875, 85120, 85500, 86912, 87300, 87400, 88464, 89240, 91200, 91770, 92000, 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229425, 230375, 231840, 232218, 232800, 234255, 235904, 239400, 241500, 244440, 244720, 249872, 251712, 252000, 254334, 254625, 255360, 257600, 258020, 260736, 262200, 265392, 266000, 267720, 271600, 273600, 275310, 276000, 276450, 278875, 279360, 279680, 281106, 285568, 289800, 291000, 293664, 294880, 296723, 299250, 304000, 305550, 305900, 309120, 309624, 310400, 312340, 314640, 319200, 321264, 322000, 322525, 325920, 327750, 331200, 331740, 334650, 336000, 339112, 339500, 342000, 349200, 349600, 353856, 356960, 362250, 367080, 368000, 368600, 374808, 381501, 382375, 383040, 386400, 387030, 388000, 390425, 391104, 391552, 393300, 399000, 401580, 407400, 412832, 414000, 414675, 419520, 423890, 425600, 428352, 434560, 436500, 437000, 440496, 442320, 446200, 456000, 458850, 460750, 463680, 464436, 465600, 468510, 478800, 483000, 488880, 489440, 491625, 499744, 501975, 503424, 504000, 508668, 509250, 515200, 516040, 524400, 530784, 532000, 535440, 543200, 547200, 550620, 552000, 552900, 557750, 558720, 562212, 579600, 580545, 582000, 587328, 589760, 593446, 598500, 611100, 611800, 619248, 624680, 629280, 635835, 638400, 642528, 644000, 645050, 651840, 655500, 662400, 663480, 669300, 678224, 679000, 684000, 688275, 691125, 698400, 699200, 702765, 707712, 713920, 724500, 734160, 737200, 749616, 763002, 763875, 764750, 766080, 772800, 774060, 776000, 780850, 782208, 786600, 798000, 803160, 814800, 825664, 828000, 829350, 836625, 839040, 847780, 856704, 873000, 874000, 880992, 884640, 890169, 892400, 912000, 917700, 921500, 927360, 928872, 931200, 937020, 957600, 966000, 967575, 977760, 978880, 983250, 999488, 1003950, 1008000, 1017336, 1018500, 1032080, 1048800, 1059725, 1061568, 1064000, 1070880, 1086400, 1101240, 1104000, 1105800, 1115500, 1124424, 1147125, 1159200, 1161090, 1164000, 1171275, 1174656, 1179520, 1186892, 1197000, 1222200, 1223600, 1238496, 1249360, 1258560, 1271670, 1276800, 1285056, 1288000, 1290100, 1303680, 1311000, 1326960, 1338600, 1356448, 1358000, 1368000, 1376550, 1382250, 1396800, 1398400, 1405530, 1427840, 1449000, 1468320, 1474400, 1483615, 1499232, 1526004, 1527750, 1529500, 1545600, 1548120, 1552000, 1561700, 1573200, 1596000, 1606320, 1612625, 1629600, 1651328, 1656000, 1658700, 1673250, 1695560, 1746000, 1748000, 1761984, 1769280, 1780338, 1784800, 1835400, 1843000, 1857744, 1874040, 1907505, 1915200, 1932000, 1935150, 1952125, 1955520, 1957760, 1966500, 1998976, 2007900, 2034672, 2037000, 2064160, 2073375, 2097600, 2119450, 2123136, 2128000, 2141760, 2172800, 2202480, 2211600, 2231000, 2248848, 2294250, 2318400, 2322180, 2328000, 2342550, 2373784, 2394000, 2444400, 2447200, 2476992, 2498720, 2509875, 2517120, 2543340, 2570112, 2576000, 2580200, 2622000, 2653920, 2670507, 2677200, 2712896, 2716000, 2736000, 2753100, 2764500, 2793600, 2811060, 2898000, 2902725, 2936640, 2948800, 2967230, 2998464, 3052008, 3055500, 3059000, 3096240, 3123400, 3146400, 3179175, 3192000, 3212640, 3225250, 3259200, 3312000, 3317400, 3346500, 3391120, 3441375, 3492000, 3496000, 3513825, 3523968, 3538560, 3560676, 3569600, 3670800, 3686000, 3715488, 3748080, 3815010, 3830400, 3864000, 3870300, 3904250, 3911040, 3933000, 4015800, 4069344, 4074000, 4128320, 4146750, 4195200, 4238900, 4283520, 4404960, 4423200, 4450845, 4462000, 4497696, 4588500, 4636800, 4644360, 4656000, 4685100, 4747568, 4788000, 4837875, 4888800, 4894400, 4953984, 4997440, 5019750, 5086680, 5160400, 5244000, 5298625, 5307840, 5341014, 5354400, 5425792, 5432000, 5506200, 5529000, 5622120, 5796000, 5805450, 5856375, 5873280, 5897600, 5934460, 5996928, 6104016, 6111000, 6118000, 6192480, 6246800, 6292800, 6358350, 6384000, 6425280, 6450500, 6518400, 6634800, 6693000, 6782240, 6882750, 6984000, 6992000, 7027650, 7121352, 7139200, 7341600, 7372000, 7418075, 7430976, 7496160, 7630020, 7728000, 7740600, 7808500, 7866000, 8031600, 8138688, 8148000, 8256640, 8293500, 8477800, 8809920, 8846400, 8901690, 8924000, 8995392, 9177000, 9288720, 9370200, 9495136, 9537525, 9576000, 9675750, 9777600, 9788800, 9994880, 10039500, 10173360, 10320800, 10488000, 10597250, 10615680, 10682028, 10708800, 10864000, 11012400, 11058000, 11244240, 11592000, 11610900, 11712750, 11868920, 12208032, 12222000, 12236000, 12384960, 12493600, 12585600, 12716700, 12850560, 12901000, 13269600, 13352535, 13386000, 13564480, 13765500, 13968000, 14055300, 14242704, 14513625, 14683200, 14744000, 14836150, 14861952, 14992320, 15260040, 15481200, 15617000, 15732000, 15895875, 16063200, 16277376, 16296000, 16587000, 16955600, 17569125, 17619840, 17692800, 17803380, 17848000, 17990784, 18354000, 18577440, 18740400, 18990272, 19075050, 19152000, 19351500, 19555200, 20079000, 20346720, 20641600, 20976000, 21194500, 21364056, 21417600, 22024800, 22116000, 22254225, 22488480, 23184000, 23221800, 23425500, 23737840, 24416064, 24444000, 24472000, 24769920, 24987200, 25433400, 25802000, 26539200, 26705070, 26772000, 27128960, 27531000, 28110600, 28485408, 29027250, 29366400, 29488000, 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21364056000, 42728112000]

約数ペア:

[(1, 42728112000), (2, 21364056000), (3, 14242704000), (4, 10682028000), (5, 8545622400), (6, 7121352000), (7, 6104016000), (8, 5341014000), (9, 4747568000), (10, 4272811200), (12, 3560676000), (14, 3052008000), (15, 2848540800), (16, 2670507000), (18, 2373784000), (19, 2248848000), (20, 2136405600), (21, 2034672000), (23, 1857744000), (24, 1780338000), (25, 1709124480), (28, 1526004000), (30, 1424270400), (32, 1335253500), (35, 1220803200), (36, 1186892000), (38, 1124424000), (40, 1068202800), (42, 1017336000), (45, 949513600), (46, 928872000), (48, 890169000), (50, 854562240), (56, 763002000), (57, 749616000), (60, 712135200), (63, 678224000), (64, 667626750), (69, 619248000), (70, 610401600), (72, 593446000), (75, 569708160), (76, 562212000), (80, 534101400), (84, 508668000), (90, 474756800), (92, 464436000), (95, 449769600), (96, 445084500), (97, 440496000), (100, 427281120), (105, 406934400), (112, 381501000), (114, 374808000), (115, 371548800), (120, 356067600), (125, 341824896), (126, 339112000), (128, 333813375), (133, 321264000), (138, 309624000), (140, 305200800), (144, 296723000), (150, 284854080), (152, 281106000), (160, 267050700), (161, 265392000), (168, 254334000), (171, 249872000), (175, 244160640), (180, 237378400), (184, 232218000), (190, 224884800), (192, 222542250), (194, 220248000), (200, 213640560), (207, 206416000), (210, 203467200), (224, 190750500), (225, 189902720), (228, 187404000), (230, 185774400), (240, 178033800), (250, 170912448), (252, 169556000), (266, 160632000), (276, 154812000), (280, 152600400), (285, 149923200), (288, 148361500), (291, 146832000), (300, 142427040), (304, 140553000), (315, 135644800), (320, 133525350), (322, 132696000), (336, 127167000), (342, 124936000), (345, 123849600), (350, 122080320), (360, 118689200), (368, 116109000), (375, 113941632), (380, 112442400), (384, 111271125), (388, 110124000), (399, 107088000), (400, 106820280), (414, 103208000), (420, 101733600), (437, 97776000), (448, 95375250), (450, 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