42225120000

素因数分解:

$2^8\times 3^2\times 5^4\times 7^1\times {\mathrm{59}}^1\times {\mathrm{71}}^1$

素因数の和:179

約数の個数: 1080

約数和(自身を含む): 179303604480

約数和(自身を除く): 137078484480

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 28, 30, 32, 35, 36, 40, 42, 45, 48, 50, 56, 59, 60, 63, 64, 70, 71, 72, 75, 80, 84, 90, 96, 100, 105, 112, 118, 120, 125, 126, 128, 140, 142, 144, 150, 160, 168, 175, 177, 180, 192, 200, 210, 213, 224, 225, 236, 240, 250, 252, 256, 280, 284, 288, 295, 300, 315, 320, 336, 350, 354, 355, 360, 375, 384, 400, 413, 420, 426, 448, 450, 472, 480, 497, 500, 504, 525, 531, 560, 568, 576, 590, 600, 625, 630, 639, 640, 672, 700, 708, 710, 720, 750, 768, 800, 826, 840, 852, 875, 885, 896, 900, 944, 960, 994, 1000, 1008, 1050, 1062, 1065, 1120, 1125, 1136, 1152, 1180, 1200, 1239, 1250, 1260, 1278, 1280, 1344, 1400, 1416, 1420, 1440, 1475, 1491, 1500, 1575, 1600, 1652, 1680, 1704, 1750, 1770, 1775, 1792, 1800, 1875, 1888, 1920, 1988, 2000, 2016, 2065, 2100, 2124, 2130, 2240, 2250, 2272, 2304, 2360, 2400, 2478, 2485, 2500, 2520, 2556, 2625, 2655, 2688, 2800, 2832, 2840, 2880, 2950, 2982, 3000, 3150, 3195, 3200, 3304, 3360, 3408, 3500, 3540, 3550, 3600, 3717, 3750, 3776, 3840, 3976, 4000, 4032, 4130, 4189, 4200, 4248, 4260, 4375, 4425, 4473, 4480, 4500, 4544, 4720, 4800, 4956, 4970, 5000, 5040, 5112, 5250, 5310, 5325, 5376, 5600, 5625, 5664, 5680, 5760, 5900, 5964, 6000, 6195, 6300, 6390, 6400, 6608, 6720, 6816, 7000, 7080, 7100, 7200, 7375, 7434, 7455, 7500, 7552, 7875, 7952, 8000, 8064, 8260, 8378, 8400, 8496, 8520, 8750, 8850, 8875, 8946, 8960, 9000, 9088, 9440, 9600, 9912, 9940, 10000, 10080, 10224, 10325, 10500, 10620, 10650, 11200, 11250, 11328, 11360, 11520, 11800, 11928, 12000, 12390, 12425, 12567, 12600, 12780, 13125, 13216, 13275, 13440, 13632, 14000, 14160, 14200, 14400, 14750, 14868, 14910, 15000, 15104, 15750, 15904, 15975, 16000, 16128, 16520, 16756, 16800, 16992, 17040, 17500, 17700, 17750, 17892, 18000, 18176, 18585, 18880, 19200, 19824, 19880, 20000, 20160, 20448, 20650, 20945, 21000, 21240, 21300, 22125, 22365, 22400, 22500, 22656, 22720, 23600, 23856, 24000, 24780, 24850, 25134, 25200, 25560, 26250, 26432, 26550, 26625, 26880, 27264, 28000, 28320, 28400, 28800, 29323, 29500, 29736, 29820, 30000, 30975, 31500, 31808, 31950, 32000, 33040, 33512, 33600, 33984, 34080, 35000, 35400, 35500, 35784, 36000, 36875, 37170, 37275, 37701, 37760, 39375, 39648, 39760, 40000, 40320, 40896, 41300, 41890, 42000, 42480, 42600, 44250, 44375, 44730, 44800, 45000, 45312, 45440, 47200, 47712, 48000, 49560, 49700, 50268, 50400, 51120, 51625, 52500, 52864, 53100, 53250, 54528, 56000, 56640, 56800, 57600, 58646, 59000, 59472, 59640, 60000, 61950, 62125, 62835, 63000, 63616, 63900, 66080, 66375, 67024, 67200, 67968, 68160, 70000, 70800, 71000, 71568, 72000, 73750, 74340, 74550, 75402, 75520, 78750, 79296, 79520, 79875, 80000, 80640, 81792, 82600, 83780, 84000, 84960, 85200, 87969, 88500, 88750, 89460, 90000, 90880, 92925, 94400, 95424, 96000, 99120, 99400, 100536, 100800, 102240, 103250, 104725, 105000, 105728, 106200, 106500, 110625, 111825, 112000, 113280, 113600, 117292, 118000, 118944, 119280, 120000, 123900, 124250, 125670, 126000, 127232, 127800, 132160, 132750, 133125, 134048, 134400, 135936, 136320, 140000, 141600, 142000, 143136, 144000, 146615, 147500, 148680, 149100, 150804, 154875, 157500, 158592, 159040, 159750, 160000, 163584, 165200, 167560, 168000, 169920, 170400, 175938, 177000, 177500, 178920, 180000, 185850, 186375, 188505, 188800, 190848, 198240, 198800, 201072, 201600, 204480, 206500, 209450, 210000, 212400, 213000, 221250, 223650, 224000, 226560, 227200, 234584, 236000, 237888, 238560, 240000, 247800, 248500, 251340, 252000, 255600, 258125, 263907, 264320, 265500, 266250, 268096, 272640, 280000, 283200, 284000, 286272, 288000, 293230, 295000, 297360, 298200, 301608, 309750, 310625, 314175, 315000, 317184, 318080, 319500, 330400, 331875, 335120, 336000, 339840, 340800, 351876, 354000, 355000, 357840, 360000, 371700, 372750, 377010, 377600, 381696, 396480, 397600, 399375, 402144, 403200, 408960, 413000, 418900, 420000, 424800, 426000, 439845, 442500, 447300, 454400, 464625, 469168, 472000, 475776, 477120, 480000, 495600, 497000, 502680, 504000, 511200, 516250, 523625, 527814, 528640, 531000, 532500, 536192, 559125, 560000, 566400, 568000, 572544, 586460, 590000, 594720, 596400, 603216, 619500, 621250, 628350, 630000, 636160, 639000, 660800, 663750, 670240, 672000, 679680, 681600, 703752, 708000, 710000, 715680, 720000, 733075, 743400, 745500, 754020, 774375, 792960, 795200, 798750, 804288, 817920, 826000, 837800, 840000, 849600, 852000, 879690, 885000, 894600, 929250, 931875, 938336, 942525, 944000, 951552, 954240, 991200, 994000, 1005360, 1008000, 1022400, 1032500, 1047250, 1055628, 1062000, 1065000, 1072384, 1118250, 1120000, 1132800, 1136000, 1145088, 1172920, 1180000, 1189440, 1192800, 1206432, 1239000, 1242500, 1256700, 1260000, 1278000, 1319535, 1321600, 1327500, 1340480, 1363200, 1407504, 1416000, 1420000, 1431360, 1440000, 1466150, 1486800, 1491000, 1508040, 1548750, 1570875, 1585920, 1590400, 1597500, 1608576, 1652000, 1675600, 1680000, 1699200, 1704000, 1759380, 1770000, 1789200, 1858500, 1863750, 1876672, 1885050, 1888000, 1908480, 1982400, 1988000, 2010720, 2016000, 2044800, 2065000, 2094500, 2111256, 2124000, 2130000, 2199225, 2236500, 2272000, 2323125, 2345840, 2360000, 2378880, 2385600, 2412864, 2478000, 2485000, 2513400, 2520000, 2556000, 2618125, 2639070, 2643200, 2655000, 2680960, 2795625, 2815008, 2832000, 2840000, 2862720, 2932300, 2973600, 2982000, 3016080, 3097500, 3141750, 3180800, 3195000, 3217152, 3304000, 3351200, 3360000, 3398400, 3408000, 3518760, 3540000, 3578400, 3665375, 3717000, 3727500, 3753344, 3770100, 3964800, 3976000, 4021440, 4089600, 4130000, 4189000, 4222512, 4248000, 4260000, 4398450, 4473000, 4646250, 4691680, 4712625, 4720000, 4757760, 4771200, 4825728, 4956000, 4970000, 5026800, 5040000, 5112000, 5236250, 5278140, 5310000, 5361920, 5591250, 5630016, 5664000, 5680000, 5725440, 5864600, 5947200, 5964000, 6032160, 6195000, 6283500, 6390000, 6597675, 6608000, 6702400, 6816000, 7037520, 7080000, 7156800, 7330750, 7434000, 7455000, 7506688, 7540200, 7854375, 7929600, 7952000, 8042880, 8260000, 8378000, 8445024, 8496000, 8520000, 8796900, 8946000, 9292500, 9383360, 9425250, 9440000, 9542400, 9651456, 9912000, 9940000, 10053600, 10080000, 10224000, 10472500, 10556280, 10620000, 10996125, 11182500, 11260032, 11360000, 11729200, 11894400, 11928000, 12064320, 12390000, 12567000, 12780000, 13195350, 13216000, 13404800, 14075040, 14160000, 14313600, 14661500, 14868000, 14910000, 15080400, 15708750, 15904000, 16085760, 16520000, 16756000, 16890048, 16992000, 17040000, 17593800, 17892000, 18326875, 18585000, 18766720, 18850500, 19824000, 19880000, 20107200, 20448000, 20945000, 21112560, 21240000, 21992250, 22365000, 22520064, 23458400, 23563125, 23788800, 23856000, 24128640, 24780000, 25134000, 25560000, 26390700, 26809600, 28150080, 28320000, 28627200, 29323000, 29736000, 29820000, 30160800, 31417500, 32988375, 33040000, 33512000, 33780096, 34080000, 35187600, 35784000, 36653750, 37170000, 37533440, 37701000, 39648000, 39760000, 40214400, 41890000, 42225120, 42480000, 43984500, 44730000, 46916800, 47126250, 47712000, 48257280, 49560000, 50268000, 51120000, 52781400, 54980625, 56300160, 58646000, 59472000, 59640000, 60321600, 62835000, 65976750, 66080000, 67024000, 67560192, 70375200, 71568000, 73307500, 74340000, 75402000, 79520000, 80428800, 83780000, 84450240, 84960000, 87969000, 89460000, 93833600, 94252500, 99120000, 100536000, 102240000, 105562800, 109961250, 112600320, 117292000, 118944000, 119280000, 120643200, 125670000, 131953500, 134048000, 140750400, 143136000, 146615000, 148680000, 150804000, 164941875, 167560000, 168900480, 175938000, 178920000, 187667200, 188505000, 198240000, 201072000, 211125600, 219922500, 234584000, 238560000, 241286400, 251340000, 263907000, 281500800, 293230000, 297360000, 301608000, 329883750, 335120000, 337800960, 351876000, 357840000, 377010000, 402144000, 422251200, 439845000, 469168000, 502680000, 527814000, 563001600, 586460000, 594720000, 603216000, 659767500, 670240000, 703752000, 715680000, 754020000, 844502400, 879690000, 938336000, 1005360000, 1055628000, 1172920000, 1206432000, 1319535000, 1407504000, 1508040000, 1689004800, 1759380000, 2010720000, 2111256000, 2345840000, 2639070000, 2815008000, 3016080000, 3518760000, 4222512000, 4691680000, 5278140000, 6032160000, 7037520000, 8445024000, 10556280000, 14075040000, 21112560000, 42225120000]

約数ペア:

[(1, 42225120000), (2, 21112560000), (3, 14075040000), (4, 10556280000), (5, 8445024000), (6, 7037520000), (7, 6032160000), (8, 5278140000), (9, 4691680000), (10, 4222512000), (12, 3518760000), (14, 3016080000), (15, 2815008000), (16, 2639070000), (18, 2345840000), (20, 2111256000), (21, 2010720000), (24, 1759380000), (25, 1689004800), (28, 1508040000), (30, 1407504000), (32, 1319535000), (35, 1206432000), (36, 1172920000), (40, 1055628000), (42, 1005360000), (45, 938336000), (48, 879690000), (50, 844502400), (56, 754020000), (59, 715680000), (60, 703752000), (63, 670240000), (64, 659767500), (70, 603216000), (71, 594720000), (72, 586460000), (75, 563001600), (80, 527814000), (84, 502680000), (90, 469168000), (96, 439845000), (100, 422251200), (105, 402144000), (112, 377010000), (118, 357840000), (120, 351876000), (125, 337800960), (126, 335120000), (128, 329883750), (140, 301608000), (142, 297360000), (144, 293230000), (150, 281500800), (160, 263907000), (168, 251340000), (175, 241286400), (177, 238560000), (180, 234584000), (192, 219922500), (200, 211125600), (210, 201072000), (213, 198240000), (224, 188505000), (225, 187667200), (236, 178920000), (240, 175938000), (250, 168900480), (252, 167560000), (256, 164941875), (280, 150804000), (284, 148680000), (288, 146615000), (295, 143136000), (300, 140750400), (315, 134048000), (320, 131953500), (336, 125670000), (350, 120643200), (354, 119280000), (355, 118944000), (360, 117292000), (375, 112600320), (384, 109961250), (400, 105562800), (413, 102240000), (420, 100536000), (426, 99120000), (448, 94252500), (450, 93833600), (472, 89460000), (480, 87969000), (497, 84960000), (500, 84450240), (504, 83780000), (525, 80428800), (531, 79520000), (560, 75402000), (568, 74340000), (576, 73307500), (590, 71568000), (600, 70375200), (625, 67560192), (630, 67024000), (639, 66080000), (640, 65976750), (672, 62835000), (700, 60321600), (708, 59640000), (710, 59472000), (720, 58646000), (750, 56300160), (768, 54980625), (800, 52781400), (826, 51120000), (840, 50268000), (852, 49560000), (875, 48257280), (885, 47712000), (896, 47126250), (900, 46916800), (944, 44730000), (960, 43984500), (994, 42480000), (1000, 42225120), (1008, 41890000), (1050, 40214400), (1062, 39760000), (1065, 39648000), (1120, 37701000), (1125, 37533440), (1136, 37170000), (1152, 36653750), (1180, 35784000), (1200, 35187600), (1239, 34080000), (1250, 33780096), (1260, 33512000), (1278, 33040000), (1280, 32988375), (1344, 31417500), (1400, 30160800), (1416, 29820000), (1420, 29736000), (1440, 29323000), (1475, 28627200), (1491, 28320000), (1500, 28150080), (1575, 26809600), (1600, 26390700), (1652, 25560000), (1680, 25134000), (1704, 24780000), (1750, 24128640), (1770, 23856000), (1775, 23788800), (1792, 23563125), (1800, 23458400), (1875, 22520064), (1888, 22365000), (1920, 21992250), (1988, 21240000), (2000, 21112560), (2016, 20945000), (2065, 20448000), (2100, 20107200), (2124, 19880000), (2130, 19824000), (2240, 18850500), (2250, 18766720), (2272, 18585000), (2304, 18326875), (2360, 17892000), (2400, 17593800), (2478, 17040000), (2485, 16992000), (2500, 16890048), (2520, 16756000), (2556, 16520000), (2625, 16085760), (2655, 15904000), (2688, 15708750), (2800, 15080400), (2832, 14910000), (2840, 14868000), (2880, 14661500), (2950, 14313600), (2982, 14160000), (3000, 14075040), (3150, 13404800), (3195, 13216000), (3200, 13195350), (3304, 12780000), (3360, 12567000), (3408, 12390000), (3500, 12064320), (3540, 11928000), (3550, 11894400), (3600, 11729200), (3717, 11360000), (3750, 11260032), (3776, 11182500), (3840, 10996125), (3976, 10620000), (4000, 10556280), (4032, 10472500), (4130, 10224000), (4189, 10080000), (4200, 10053600), (4248, 9940000), (4260, 9912000), (4375, 9651456), (4425, 9542400), (4473, 9440000), (4480, 9425250), (4500, 9383360), (4544, 9292500), (4720, 8946000), (4800, 8796900), (4956, 8520000), (4970, 8496000), (5000, 8445024), (5040, 8378000), (5112, 8260000), (5250, 8042880), (5310, 7952000), (5325, 7929600), (5376, 7854375), (5600, 7540200), (5625, 7506688), (5664, 7455000), (5680, 7434000), (5760, 7330750), (5900, 7156800), (5964, 7080000), (6000, 7037520), (6195, 6816000), (6300, 6702400), (6390, 6608000), (6400, 6597675), (6608, 6390000), (6720, 6283500), (6816, 6195000), (7000, 6032160), (7080, 5964000), (7100, 5947200), (7200, 5864600), (7375, 5725440), (7434, 5680000), (7455, 5664000), (7500, 5630016), (7552, 5591250), (7875, 5361920), (7952, 5310000), (8000, 5278140), (8064, 5236250), (8260, 5112000), (8378, 5040000), (8400, 5026800), (8496, 4970000), (8520, 4956000), (8750, 4825728), (8850, 4771200), (8875, 4757760), (8946, 4720000), (8960, 4712625), (9000, 4691680), (9088, 4646250), (9440, 4473000), (9600, 4398450), (9912, 4260000), (9940, 4248000), (10000, 4222512), (10080, 4189000), (10224, 4130000), (10325, 4089600), (10500, 4021440), (10620, 3976000), (10650, 3964800), (11200, 3770100), (11250, 3753344), (11328, 3727500), (11360, 3717000), (11520, 3665375), (11800, 3578400), (11928, 3540000), (12000, 3518760), (12390, 3408000), (12425, 3398400), (12567, 3360000), (12600, 3351200), (12780, 3304000), (13125, 3217152), (13216, 3195000), (13275, 3180800), (13440, 3141750), (13632, 3097500), (14000, 3016080), (14160, 2982000), (14200, 2973600), (14400, 2932300), (14750, 2862720), (14868, 2840000), (14910, 2832000), (15000, 2815008), (15104, 2795625), (15750, 2680960), (15904, 2655000), (15975, 2643200), (16000, 2639070), (16128, 2618125), (16520, 2556000), (16756, 2520000), (16800, 2513400), (16992, 2485000), (17040, 2478000), (17500, 2412864), (17700, 2385600), (17750, 2378880), (17892, 2360000), (18000, 2345840), (18176, 2323125), (18585, 2272000), (18880, 2236500), (19200, 2199225), (19824, 2130000), (19880, 2124000), (20000, 2111256), (20160, 2094500), (20448, 2065000), (20650, 2044800), (20945, 2016000), (21000, 2010720), (21240, 1988000), (21300, 1982400), (22125, 1908480), (22365, 1888000), (22400, 1885050), (22500, 1876672), (22656, 1863750), (22720, 1858500), (23600, 1789200), (23856, 1770000), (24000, 1759380), (24780, 1704000), (24850, 1699200), (25134, 1680000), (25200, 1675600), (25560, 1652000), (26250, 1608576), (26432, 1597500), (26550, 1590400), (26625, 1585920), (26880, 1570875), (27264, 1548750), (28000, 1508040), (28320, 1491000), (28400, 1486800), (28800, 1466150), (29323, 1440000), (29500, 1431360), (29736, 1420000), (29820, 1416000), (30000, 1407504), (30975, 1363200), (31500, 1340480), (31808, 1327500), (31950, 1321600), (32000, 1319535), (33040, 1278000), (33512, 1260000), (33600, 1256700), (33984, 1242500), (34080, 1239000), (35000, 1206432), (35400, 1192800), (35500, 1189440), (35784, 1180000), (36000, 1172920), (36875, 1145088), (37170, 1136000), (37275, 1132800), (37701, 1120000), (37760, 1118250), (39375, 1072384), (39648, 1065000), (39760, 1062000), (40000, 1055628), (40320, 1047250), (40896, 1032500), (41300, 1022400), (41890, 1008000), (42000, 1005360), (42480, 994000), (42600, 991200), (44250, 954240), (44375, 951552), (44730, 944000), (44800, 942525), (45000, 938336), (45312, 931875), (45440, 929250), (47200, 894600), (47712, 885000), (48000, 879690), (49560, 852000), (49700, 849600), (50268, 840000), (50400, 837800), (51120, 826000), (51625, 817920), (52500, 804288), (52864, 798750), (53100, 795200), (53250, 792960), (54528, 774375), (56000, 754020), (56640, 745500), (56800, 743400), (57600, 733075), (58646, 720000), (59000, 715680), (59472, 710000), (59640, 708000), (60000, 703752), (61950, 681600), (62125, 679680), (62835, 672000), (63000, 670240), (63616, 663750), (63900, 660800), (66080, 639000), (66375, 636160), (67024, 630000), (67200, 628350), (67968, 621250), (68160, 619500), (70000, 603216), (70800, 596400), (71000, 594720), (71568, 590000), (72000, 586460), (73750, 572544), (74340, 568000), (74550, 566400), (75402, 560000), (75520, 559125), (78750, 536192), (79296, 532500), (79520, 531000), (79875, 528640), (80000, 527814), (80640, 523625), (81792, 516250), (82600, 511200), (83780, 504000), (84000, 502680), (84960, 497000), (85200, 495600), (87969, 480000), (88500, 477120), (88750, 475776), (89460, 472000), (90000, 469168), (90880, 464625), (92925, 454400), (94400, 447300), (95424, 442500), (96000, 439845), (99120, 426000), (99400, 424800), (100536, 420000), (100800, 418900), (102240, 413000), (103250, 408960), (104725, 403200), (105000, 402144), (105728, 399375), (106200, 397600), (106500, 396480), (110625, 381696), (111825, 377600), (112000, 377010), (113280, 372750), (113600, 371700), (117292, 360000), (118000, 357840), (118944, 355000), (119280, 354000), (120000, 351876), (123900, 340800), (124250, 339840), (125670, 336000), (126000, 335120), (127232, 331875), (127800, 330400), (132160, 319500), (132750, 318080), (133125, 317184), (134048, 315000), (134400, 314175), (135936, 310625), (136320, 309750), (140000, 301608), (141600, 298200), (142000, 297360), (143136, 295000), (144000, 293230), (146615, 288000), (147500, 286272), (148680, 284000), (149100, 283200), (150804, 280000), (154875, 272640), (157500, 268096), (158592, 266250), (159040, 265500), (159750, 264320), (160000, 263907), (163584, 258125), (165200, 255600), (167560, 252000), (168000, 251340), (169920, 248500), (170400, 247800), (175938, 240000), (177000, 238560), (177500, 237888), (178920, 236000), (180000, 234584), (185850, 227200), (186375, 226560), (188505, 224000), (188800, 223650), (190848, 221250), (198240, 213000), (198800, 212400), (201072, 210000), (201600, 209450), (204480, 206500)]