30414384000

素因数分解:

$2^7\times 3^2\times 5^3\times 7^1\times {\mathrm{11}}^1\times {\mathrm{13}}^1\times {\mathrm{211}}^1$

素因数の和:277

約数の個数: 1536

約数和(自身を含む): 147347665920

約数和(自身を除く): 116933281920

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 28, 30, 32, 33, 35, 36, 39, 40, 42, 44, 45, 48, 50, 52, 55, 56, 60, 63, 64, 65, 66, 70, 72, 75, 77, 78, 80, 84, 88, 90, 91, 96, 99, 100, 104, 105, 110, 112, 117, 120, 125, 126, 128, 130, 132, 140, 143, 144, 150, 154, 156, 160, 165, 168, 175, 176, 180, 182, 192, 195, 198, 200, 208, 210, 211, 220, 224, 225, 231, 234, 240, 250, 252, 260, 264, 273, 275, 280, 286, 288, 300, 308, 312, 315, 320, 325, 330, 336, 350, 352, 360, 364, 375, 384, 385, 390, 396, 400, 416, 420, 422, 429, 440, 448, 450, 455, 462, 468, 480, 495, 500, 504, 520, 525, 528, 546, 550, 560, 572, 576, 585, 600, 616, 624, 630, 633, 640, 650, 660, 672, 693, 700, 704, 715, 720, 728, 750, 770, 780, 792, 800, 819, 825, 832, 840, 844, 858, 875, 880, 896, 900, 910, 924, 936, 960, 975, 990, 1000, 1001, 1008, 1040, 1050, 1055, 1056, 1092, 1100, 1120, 1125, 1144, 1152, 1155, 1170, 1200, 1232, 1248, 1260, 1266, 1287, 1300, 1320, 1344, 1365, 1375, 1386, 1400, 1408, 1430, 1440, 1456, 1477, 1500, 1540, 1560, 1575, 1584, 1600, 1625, 1638, 1650, 1664, 1680, 1688, 1716, 1750, 1760, 1800, 1820, 1848, 1872, 1899, 1920, 1925, 1950, 1980, 2000, 2002, 2016, 2080, 2100, 2110, 2112, 2145, 2184, 2200, 2240, 2250, 2275, 2288, 2310, 2321, 2340, 2400, 2464, 2475, 2496, 2520, 2532, 2574, 2600, 2625, 2640, 2688, 2730, 2743, 2750, 2772, 2800, 2860, 2880, 2912, 2925, 2954, 3000, 3003, 3080, 3120, 3150, 3165, 3168, 3200, 3250, 3276, 3300, 3360, 3376, 3432, 3465, 3500, 3520, 3575, 3600, 3640, 3696, 3744, 3798, 3850, 3900, 3960, 4000, 4004, 4032, 4095, 4125, 4160, 4200, 4220, 4224, 4290, 4368, 4400, 4431, 4480, 4500, 4550, 4576, 4620, 4642, 4680, 4800, 4875, 4928, 4950, 4992, 5005, 5040, 5064, 5148, 5200, 5250, 5275, 5280, 5460, 5486, 5500, 5544, 5600, 5720, 5760, 5775, 5824, 5850, 5908, 6000, 6006, 6160, 6240, 6300, 6330, 6336, 6435, 6500, 6552, 6600, 6720, 6752, 6825, 6864, 6930, 6963, 7000, 7040, 7150, 7200, 7280, 7385, 7392, 7488, 7596, 7700, 7800, 7875, 7920, 8000, 8008, 8064, 8190, 8229, 8250, 8320, 8400, 8440, 8580, 8736, 8800, 8862, 9000, 9009, 9100, 9152, 9240, 9284, 9360, 9495, 9600, 9625, 9750, 9856, 9900, 10010, 10080, 10128, 10296, 10400, 10500, 10550, 10560, 10725, 10920, 10972, 11000, 11088, 11200, 11375, 11440, 11550, 11605, 11648, 11700, 11816, 12000, 12012, 12320, 12375, 12480, 12600, 12660, 12672, 12870, 13000, 13104, 13200, 13293, 13440, 13504, 13650, 13715, 13728, 13860, 13926, 14000, 14300, 14400, 14560, 14625, 14770, 14784, 14976, 15015, 15192, 15400, 15600, 15750, 15825, 15840, 16000, 16016, 16247, 16380, 16458, 16500, 16800, 16880, 17160, 17325, 17472, 17600, 17724, 17875, 18000, 18018, 18200, 18304, 18480, 18568, 18720, 18990, 19201, 19250, 19500, 19800, 20020, 20160, 20256, 20475, 20592, 20800, 20889, 21000, 21100, 21120, 21450, 21840, 21944, 22000, 22155, 22176, 22400, 22750, 22880, 23100, 23210, 23400, 23632, 24000, 24024, 24640, 24687, 24750, 24960, 25025, 25200, 25320, 25740, 26000, 26208, 26375, 26400, 26586, 27008, 27300, 27430, 27456, 27720, 27852, 28000, 28600, 28800, 28875, 29120, 29250, 29540, 29568, 30030, 30173, 30384, 30800, 31200, 31500, 31650, 31680, 32032, 32175, 32494, 32760, 32916, 33000, 33600, 33760, 34125, 34320, 34650, 34815, 34944, 35200, 35448, 35750, 36000, 36036, 36400, 36925, 36960, 37136, 37440, 37980, 38402, 38500, 39000, 39600, 40040, 40320, 40512, 40950, 41145, 41184, 41600, 41778, 42000, 42200, 42900, 43680, 43888, 44000, 44310, 44352, 45045, 45500, 45760, 46200, 46420, 46800, 47264, 47475, 48000, 48048, 48741, 49280, 49374, 49500, 50050, 50400, 50640, 51480, 52000, 52416, 52750, 52800, 53172, 53625, 54600, 54860, 54912, 55440, 55704, 56000, 57200, 57603, 57750, 58025, 58240, 58500, 59080, 60060, 60346, 60768, 61600, 62400, 63000, 63300, 63360, 64064, 64350, 64988, 65520, 65832, 66000, 66465, 67200, 67520, 68250, 68575, 68640, 69300, 69630, 70896, 71500, 72000, 72072, 72800, 73850, 73920, 74272, 74880, 75075, 75960, 76804, 77000, 78000, 79125, 79200, 80080, 81024, 81235, 81900, 82290, 82368, 83556, 84000, 84400, 85800, 86625, 87360, 87776, 88000, 88620, 88704, 90090, 90519, 91000, 91520, 92400, 92840, 93600, 94528, 94950, 96005, 96096, 97482, 98748, 99000, 100100, 100800, 101280, 102375, 102960, 104000, 104445, 104832, 105500, 105600, 106344, 107250, 109200, 109720, 110775, 110880, 111408, 112000, 114400, 115206, 115500, 116050, 117000, 118160, 120120, 120692, 121536, 123200, 123435, 124800, 125125, 126000, 126600, 128128, 128700, 129976, 131040, 131664, 132000, 132930, 135040, 136500, 137150, 137280, 138600, 139260, 141792, 143000, 144000, 144144, 145600, 146223, 147700, 147840, 148544, 150150, 150865, 151920, 153608, 154000, 156000, 158250, 158400, 160160, 160875, 162470, 163800, 164580, 164736, 167112, 168000, 168800, 171600, 172809, 173250, 174075, 174720, 175552, 176000, 177240, 180180, 181038, 182000, 184625, 184800, 185680, 187200, 189056, 189900, 192010, 192192, 194964, 197496, 198000, 200200, 201600, 202560, 204750, 205725, 205920, 208000, 208890, 211000, 211211, 212688, 214500, 218400, 219440, 221550, 221760, 222816, 225225, 228800, 230412, 231000, 232100, 234000, 236320, 237375, 240240, 241384, 243072, 243705, 246400, 246870, 250250, 252000, 253200, 257400, 259952, 262080, 263328, 264000, 265860, 271557, 273000, 274300, 274560, 277200, 278520, 283584, 286000, 288015, 288288, 290125, 291200, 292446, 295400, 297088, 300300, 301730, 303840, 307216, 308000, 312000, 316500, 316800, 320320, 321750, 324940, 327600, 329160, 332325, 334224, 336000, 337600, 342875, 343200, 345618, 346500, 348150, 351104, 354480, 360360, 362076, 364000, 369250, 369600, 371360, 374400, 375375, 379800, 384020, 384384, 389928, 394992, 396000, 400400, 405120, 406175, 409500, 411450, 411840, 417780, 422000, 422422, 425376, 429000, 436800, 438880, 443100, 443520, 445632, 450450, 452595, 457600, 460824, 462000, 464200, 468000, 472640, 474750, 480025, 480480, 482768, 487410, 493740, 500500, 504000, 506400, 514800, 519904, 522225, 524160, 526656, 528000, 531720, 543114, 546000, 548600, 553875, 554400, 557040, 567168, 572000, 576030, 576576, 580250, 584892, 590800, 600600, 603460, 607680, 614432, 616000, 617175, 624000, 633000, 633633, 640640, 643500, 649880, 655200, 658320, 664650, 668448, 675200, 685750, 686400, 691236, 693000, 696300, 708960, 720720, 724152, 728000, 731115, 738500, 739200, 742720, 750750, 754325, 759600, 768040, 779856, 789984, 792000, 800800, 812350, 819000, 822900, 823680, 835560, 844000, 844844, 850752, 858000, 864045, 870375, 873600, 877760, 886200, 891264, 900900, 905190, 921648, 924000, 928400, 936000, 945280, 949500, 960050, 960960, 965536, 974820, 987480, 1001000, 1008000, 1012800, 1028625, 1029600, 1039808, 1044450, 1053312, 1056055, 1063440, 1086228, 1092000, 1097200, 1107750, 1108800, 1114080, 1126125, 1144000, 1152060, 1153152, 1160500, 1169784, 1181600, 1201200, 1206920, 1215360, 1218525, 1228864, 1232000, 1234350, 1266000, 1267266, 1287000, 1299760, 1310400, 1316640, 1329300, 1336896, 1357785, 1371500, 1372800, 1382472, 1386000, 1392600, 1417920, 1440075, 1441440, 1448304, 1456000, 1462230, 1477000, 1485440, 1501500, 1508650, 1519200, 1536080, 1559712, 1579968, 1584000, 1601600, 1624700, 1638000, 1645800, 1661625, 1671120, 1688000, 1689688, 1701504, 1716000, 1728090, 1740750, 1755520, 1772400, 1801800, 1810380, 1843296, 1848000, 1856800, 1872000, 1899000, 1900899, 1920100, 1921920, 1931072, 1949640, 1974960, 2002000, 2025600, 2030875, 2057250, 2059200, 2079616, 2088900, 2112110, 2126880, 2172456, 2184000, 2194400, 2215500, 2217600, 2228160, 2252250, 2262975, 2288000, 2304120, 2321000, 2339568, 2363200, 2400125, 2402400, 2413840, 2437050, 2457728, 2468700, 2532000, 2534532, 2574000, 2599520, 2611125, 2620800, 2633280, 2658600, 2673792, 2715570, 2743000, 2764944, 2772000, 2785200, 2835840, 2880150, 2882880, 2896608, 2924460, 2954000, 3003000, 3017300, 3038400, 3072160, 3085875, 3119424, 3159936, 3168165, 3203200, 3249400, 3276000, 3291600, 3323250, 3342240, 3376000, 3379376, 3432000, 3456180, 3481500, 3544800, 3603600, 3620760, 3655575, 3686592, 3696000, 3713600, 3771625, 3798000, 3801798, 3840200, 3862144, 3899280, 3949920, 4004000, 4061750, 4114500, 4118400, 4177800, 4224220, 4253760, 4320225, 4344912, 4368000, 4388800, 4431000, 4456320, 4504500, 4525950, 4608240, 4642000, 4679136, 4726400, 4800250, 4804800, 4827680, 4874100, 4937400, 5064000, 5069064, 5148000, 5199040, 5222250, 5266560, 5280275, 5317200, 5431140, 5486000, 5529888, 5544000, 5570400, 5760300, 5765760, 5793216, 5848920, 5908000, 6006000, 6034600, 6076800, 6092625, 6144320, 6171750, 6238848, 6336330, 6498800, 6552000, 6583200, 6646500, 6684480, 6758752, 6788925, 6864000, 6912360, 6963000, 7089600, 7200375, 7207200, 7241520, 7311150, 7373184, 7427200, 7543250, 7596000, 7603596, 7680400, 7798560, 7899840, 8008000, 8123500, 8229000, 8355600, 8448440, 8507520, 8640450, 8689824, 8777600, 8862000, 9009000, 9051900, 9216480, 9284000, 9358272, 9504495, 9600500, 9609600, 9655360, 9748200, 9874800, 10128000, 10138128, 10296000, 10398080, 10444500, 10560550, 10634400, 10862280, 10972000, 11059776, 11088000, 11140800, 11314875, 11520600, 11586432, 11697840, 11816000, 12012000, 12069200, 12185250, 12288640, 12343500, 12672660, 12997600, 13104000, 13166400, 13293000, 13368960, 13517504, 13577850, 13824720, 13926000, 14179200, 14400750, 14414400, 14483040, 14622300, 15086500, 15192000, 15207192, 15360800, 15597120, 15799680, 15840825, 16016000, 16247000, 16458000, 16711200, 16896880, 17280900, 17379648, 17724000, 18018000, 18103800, 18277875, 18432960, 18568000, 18716544, 19008990, 19201000, 19310720, 19496400, 19749600, 20276256, 20592000, 20889000, 21121100, 21268800, 21601125, 21724560, 21944000, 22119552, 22281600, 22629750, 23041200, 23395680, 23632000, 24024000, 24138400, 24370500, 24687000, 25345320, 25995200, 26332800, 26401375, 26586000, 27035008, 27155700, 27649440, 27852000, 28801500, 28828800, 28966080, 29244600, 30173000, 30384000, 30414384, 30721600, 31194240, 31681650, 32494000, 32916000, 33422400, 33793760, 33944625, 34561800, 34759296, 35448000, 36036000, 36207600, 36555750, 36865920, 37136000, 38017980, 38402000, 38992800, 39499200, 40552512, 41778000, 42242200, 42537600, 43202250, 43449120, 43888000, 45259500, 46082400, 46791360, 47522475, 48048000, 48276800, 48741000, 49374000, 50690640, 51990400, 52802750, 53172000, 54311400, 55298880, 55704000, 57603000, 57932160, 58489200, 60346000, 60828768, 61443200, 63363300, 64988000, 65832000, 66844800, 67587520, 67889250, 69123600, 70896000, 72072000, 72415200, 73111500, 76035960, 76804000, 77985600, 78998400, 79204125, 81105024, 83556000, 84484400, 86404500, 86898240, 90519000, 92164800, 93582720, 95044950, 96553600, 97482000, 98748000, 101381280, 105605500, 106344000, 108622800, 110597760, 111408000, 115206000, 116978400, 120692000, 121657536, 126726600, 129976000, 131664000, 135175040, 135778500, 138247200, 144144000, 144830400, 146223000, 152071920, 153608000, 155971200, 158408250, 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約数ペア:

[(1, 30414384000), (2, 15207192000), (3, 10138128000), (4, 7603596000), (5, 6082876800), (6, 5069064000), (7, 4344912000), (8, 3801798000), (9, 3379376000), (10, 3041438400), (11, 2764944000), (12, 2534532000), (13, 2339568000), (14, 2172456000), (15, 2027625600), (16, 1900899000), (18, 1689688000), (20, 1520719200), (21, 1448304000), (22, 1382472000), (24, 1267266000), (25, 1216575360), (26, 1169784000), (28, 1086228000), (30, 1013812800), (32, 950449500), (33, 921648000), (35, 868982400), (36, 844844000), (39, 779856000), (40, 760359600), (42, 724152000), (44, 691236000), (45, 675875200), (48, 633633000), (50, 608287680), (52, 584892000), (55, 552988800), (56, 543114000), (60, 506906400), (63, 482768000), (64, 475224750), (65, 467913600), (66, 460824000), (70, 434491200), (72, 422422000), (75, 405525120), (77, 394992000), (78, 389928000), (80, 380179800), (84, 362076000), (88, 345618000), (90, 337937600), (91, 334224000), (96, 316816500), (99, 307216000), (100, 304143840), (104, 292446000), (105, 289660800), (110, 276494400), (112, 271557000), (117, 259952000), (120, 253453200), (125, 243315072), (126, 241384000), (128, 237612375), (130, 233956800), (132, 230412000), (140, 217245600), (143, 212688000), (144, 211211000), (150, 202762560), (154, 197496000), (156, 194964000), (160, 190089900), (165, 184329600), (168, 181038000), (175, 173796480), (176, 172809000), (180, 168968800), (182, 167112000), (192, 158408250), (195, 155971200), (198, 153608000), (200, 152071920), (208, 146223000), (210, 144830400), (211, 144144000), (220, 138247200), (224, 135778500), (225, 135175040), (231, 131664000), (234, 129976000), (240, 126726600), (250, 121657536), (252, 120692000), (260, 116978400), (264, 115206000), (273, 111408000), (275, 110597760), (280, 108622800), (286, 106344000), (288, 105605500), (300, 101381280), (308, 98748000), (312, 97482000), (315, 96553600), (320, 95044950), (325, 93582720), (330, 92164800), (336, 90519000), (350, 86898240), (352, 86404500), (360, 84484400), (364, 83556000), (375, 81105024), (384, 79204125), (385, 78998400), (390, 77985600), (396, 76804000), (400, 76035960), (416, 73111500), (420, 72415200), (422, 72072000), (429, 70896000), (440, 69123600), (448, 67889250), (450, 67587520), (455, 66844800), (462, 65832000), (468, 64988000), (480, 63363300), (495, 61443200), (500, 60828768), (504, 60346000), (520, 58489200), (525, 57932160), (528, 57603000), (546, 55704000), (550, 55298880), (560, 54311400), (572, 53172000), (576, 52802750), (585, 51990400), (600, 50690640), (616, 49374000), (624, 48741000), (630, 48276800), (633, 48048000), (640, 47522475), (650, 46791360), (660, 46082400), (672, 45259500), (693, 43888000), (700, 43449120), (704, 43202250), (715, 42537600), (720, 42242200), (728, 41778000), (750, 40552512), (770, 39499200), (780, 38992800), (792, 38402000), (800, 38017980), (819, 37136000), (825, 36865920), (832, 36555750), (840, 36207600), (844, 36036000), (858, 35448000), (875, 34759296), (880, 34561800), (896, 33944625), (900, 33793760), (910, 33422400), (924, 32916000), (936, 32494000), (960, 31681650), (975, 31194240), (990, 30721600), (1000, 30414384), (1001, 30384000), (1008, 30173000), (1040, 29244600), (1050, 28966080), (1055, 28828800), (1056, 28801500), (1092, 27852000), (1100, 27649440), (1120, 27155700), (1125, 27035008), (1144, 26586000), (1152, 26401375), (1155, 26332800), (1170, 25995200), (1200, 25345320), (1232, 24687000), (1248, 24370500), (1260, 24138400), (1266, 24024000), (1287, 23632000), (1300, 23395680), (1320, 23041200), (1344, 22629750), (1365, 22281600), (1375, 22119552), (1386, 21944000), (1400, 21724560), (1408, 21601125), (1430, 21268800), (1440, 21121100), (1456, 20889000), (1477, 20592000), (1500, 20276256), (1540, 19749600), (1560, 19496400), (1575, 19310720), (1584, 19201000), (1600, 19008990), (1625, 18716544), (1638, 18568000), (1650, 18432960), (1664, 18277875), (1680, 18103800), (1688, 18018000), (1716, 17724000), (1750, 17379648), (1760, 17280900), 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(3276, 9284000), (3300, 9216480), (3360, 9051900), (3376, 9009000), (3432, 8862000), (3465, 8777600), (3500, 8689824), (3520, 8640450), (3575, 8507520), (3600, 8448440), (3640, 8355600), (3696, 8229000), (3744, 8123500), (3798, 8008000), (3850, 7899840), (3900, 7798560), (3960, 7680400), (4000, 7603596), (4004, 7596000), (4032, 7543250), (4095, 7427200), (4125, 7373184), (4160, 7311150), (4200, 7241520), (4220, 7207200), (4224, 7200375), (4290, 7089600), (4368, 6963000), (4400, 6912360), (4431, 6864000), (4480, 6788925), (4500, 6758752), (4550, 6684480), (4576, 6646500), (4620, 6583200), (4642, 6552000), (4680, 6498800), (4800, 6336330), (4875, 6238848), (4928, 6171750), (4950, 6144320), (4992, 6092625), (5005, 6076800), (5040, 6034600), (5064, 6006000), (5148, 5908000), (5200, 5848920), (5250, 5793216), (5275, 5765760), (5280, 5760300), (5460, 5570400), (5486, 5544000), (5500, 5529888), (5544, 5486000), (5600, 5431140), (5720, 5317200), (5760, 5280275), (5775, 5266560), (5824, 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