42922368000

素因数分解:

$2^{10}\times 3^2\times 5^3\times {\mathrm{19}}^1\times {\mathrm{37}}^1\times {\mathrm{53}}^1$

素因数の和:150

約数の個数: 1056

約数和(自身を含む): 170370008640

約数和(自身を除く): 127447640640

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 25, 30, 32, 36, 37, 38, 40, 45, 48, 50, 53, 57, 60, 64, 72, 74, 75, 76, 80, 90, 95, 96, 100, 106, 111, 114, 120, 125, 128, 144, 148, 150, 152, 159, 160, 171, 180, 185, 190, 192, 200, 212, 222, 225, 228, 240, 250, 256, 265, 285, 288, 296, 300, 304, 318, 320, 333, 342, 360, 370, 375, 380, 384, 400, 424, 444, 450, 456, 475, 477, 480, 500, 512, 530, 555, 570, 576, 592, 600, 608, 636, 640, 666, 684, 703, 720, 740, 750, 760, 768, 795, 800, 848, 855, 888, 900, 912, 925, 950, 954, 960, 1000, 1007, 1024, 1060, 1110, 1125, 1140, 1152, 1184, 1200, 1216, 1272, 1280, 1325, 1332, 1368, 1406, 1425, 1440, 1480, 1500, 1520, 1536, 1590, 1600, 1665, 1696, 1710, 1776, 1800, 1824, 1850, 1900, 1908, 1920, 1961, 2000, 2014, 2109, 2120, 2220, 2250, 2280, 2304, 2368, 2375, 2385, 2400, 2432, 2544, 2560, 2650, 2664, 2736, 2775, 2812, 2850, 2880, 2960, 3000, 3021, 3040, 3072, 3180, 3200, 3330, 3392, 3420, 3515, 3552, 3600, 3648, 3700, 3800, 3816, 3840, 3922, 3975, 4000, 4028, 4218, 4240, 4275, 4440, 4500, 4560, 4608, 4625, 4736, 4750, 4770, 4800, 4864, 5035, 5088, 5120, 5300, 5328, 5472, 5550, 5624, 5700, 5760, 5883, 5920, 6000, 6042, 6080, 6327, 6360, 6400, 6625, 6660, 6784, 6840, 7030, 7104, 7125, 7200, 7296, 7400, 7600, 7632, 7680, 7844, 7950, 8000, 8056, 8325, 8436, 8480, 8550, 8880, 9000, 9063, 9120, 9216, 9250, 9472, 9500, 9540, 9600, 9728, 9805, 10070, 10176, 10545, 10600, 10656, 10944, 11100, 11248, 11400, 11520, 11766, 11840, 11925, 12000, 12084, 12160, 12654, 12720, 12800, 13250, 13320, 13568, 13680, 13875, 14060, 14208, 14250, 14400, 14592, 14800, 15105, 15200, 15264, 15360, 15688, 15900, 16000, 16112, 16650, 16872, 16960, 17100, 17575, 17649, 17760, 18000, 18126, 18240, 18500, 18944, 19000, 19080, 19200, 19456, 19610, 19875, 20140, 20352, 21090, 21200, 21312, 21375, 21888, 22200, 22496, 22800, 23040, 23532, 23680, 23850, 24000, 24168, 24320, 25175, 25308, 25440, 25600, 26500, 26640, 27136, 27360, 27750, 28120, 28416, 28500, 28800, 29184, 29415, 29600, 30210, 30400, 30528, 31376, 31635, 31800, 32000, 32224, 33300, 33744, 33920, 34200, 35150, 35298, 35520, 36000, 36252, 36480, 37000, 37259, 37888, 38000, 38160, 38400, 39220, 39750, 40280, 40704, 41625, 42180, 42400, 42624, 42750, 43776, 44400, 44992, 45315, 45600, 46080, 47064, 47360, 47700, 48000, 48336, 48640, 49025, 50350, 50616, 50880, 52725, 53000, 53280, 54272, 54720, 55500, 56240, 56832, 57000, 57600, 58368, 58830, 59200, 59625, 60420, 60800, 61056, 62752, 63270, 63600, 64000, 64448, 66600, 67488, 67840, 68400, 70300, 70596, 71040, 72000, 72504, 72960, 74000, 74518, 75525, 76000, 76320, 76800, 78440, 79500, 80560, 81408, 83250, 84360, 84800, 85248, 85500, 87552, 87875, 88245, 88800, 89984, 90630, 91200, 94128, 94720, 95400, 96000, 96672, 97280, 98050, 100700, 101232, 101760, 105450, 106000, 106560, 109440, 111000, 111777, 112480, 113664, 114000, 115200, 117660, 118400, 119250, 120840, 121600, 122112, 125504, 125875, 126540, 127200, 128000, 128896, 133200, 134976, 135680, 136800, 140600, 141192, 142080, 144000, 145008, 145920, 147075, 148000, 149036, 151050, 152000, 152640, 156880, 158175, 159000, 161120, 162816, 166500, 168720, 169600, 170496, 171000, 175104, 175750, 176490, 177600, 179968, 181260, 182400, 186295, 188256, 189440, 190800, 192000, 193344, 196100, 201400, 202464, 203520, 210900, 212000, 213120, 218880, 222000, 223554, 224960, 226575, 228000, 230400, 235320, 236800, 238500, 241680, 243200, 244224, 245125, 251008, 251750, 253080, 254400, 257792, 263625, 266400, 269952, 271360, 273600, 281200, 282384, 284160, 288000, 290016, 291840, 294150, 296000, 298072, 302100, 304000, 305280, 313760, 316350, 318000, 322240, 333000, 335331, 337440, 339200, 340992, 342000, 351500, 352980, 355200, 359936, 362520, 364800, 372590, 376512, 377625, 381600, 384000, 386688, 392200, 402800, 404928, 407040, 421800, 424000, 426240, 437760, 441225, 444000, 447108, 449920, 453150, 456000, 470640, 473600, 477000, 483360, 486400, 488448, 490250, 502016, 503500, 506160, 508800, 515584, 527250, 532800, 539904, 547200, 558885, 562400, 564768, 568320, 576000, 580032, 588300, 592000, 596144, 604200, 608000, 610560, 627520, 632700, 636000, 644480, 666000, 670662, 674880, 678400, 684000, 703000, 705960, 710400, 719872, 725040, 729600, 735375, 745180, 753024, 755250, 763200, 773376, 784400, 790875, 805600, 809856, 814080, 843600, 848000, 852480, 875520, 882450, 888000, 894216, 899840, 906300, 912000, 931475, 941280, 947200, 954000, 966720, 980500, 1004032, 1007000, 1012320, 1017600, 1031168, 1054500, 1065600, 1079808, 1094400, 1117770, 1124800, 1129536, 1132875, 1152000, 1160064, 1176600, 1184000, 1192288, 1208400, 1216000, 1221120, 1255040, 1265400, 1272000, 1288960, 1332000, 1341324, 1349760, 1356800, 1368000, 1406000, 1411920, 1420800, 1450080, 1459200, 1470750, 1490360, 1506048, 1510500, 1526400, 1546752, 1568800, 1581750, 1611200, 1619712, 1676655, 1687200, 1696000, 1704960, 1764900, 1776000, 1788432, 1799680, 1812600, 1824000, 1862950, 1882560, 1908000, 1933440, 1961000, 2008064, 2014000, 2024640, 2035200, 2109000, 2131200, 2159616, 2188800, 2206125, 2235540, 2249600, 2259072, 2265750, 2320128, 2353200, 2368000, 2384576, 2416800, 2432000, 2442240, 2510080, 2530800, 2544000, 2577920, 2664000, 2682648, 2699520, 2736000, 2794425, 2812000, 2823840, 2841600, 2900160, 2941500, 2980720, 3012096, 3021000, 3052800, 3093504, 3137600, 3163500, 3222400, 3239424, 3353310, 3374400, 3392000, 3529800, 3552000, 3576864, 3599360, 3625200, 3648000, 3725900, 3765120, 3816000, 3866880, 3922000, 4028000, 4049280, 4070400, 4218000, 4262400, 4377600, 4412250, 4471080, 4499200, 4518144, 4531500, 4640256, 4657375, 4706400, 4736000, 4769152, 4833600, 5020160, 5061600, 5088000, 5155840, 5328000, 5365296, 5399040, 5472000, 5588850, 5624000, 5647680, 5800320, 5883000, 5961440, 6024192, 6042000, 6105600, 6275200, 6327000, 6444800, 6478848, 6706620, 6748800, 6784000, 7059600, 7104000, 7153728, 7250400, 7296000, 7451800, 7530240, 7632000, 7733760, 7844000, 8056000, 8098560, 8383275, 8436000, 8524800, 8824500, 8942160, 8998400, 9036288, 9063000, 9280512, 9314750, 9412800, 9538304, 9667200, 10040320, 10123200, 10176000, 10656000, 10730592, 10798080, 10944000, 11177700, 11248000, 11295360, 11600640, 11766000, 11922880, 12084000, 12211200, 12550400, 12654000, 12889600, 13413240, 13497600, 13972125, 14119200, 14208000, 14307456, 14500800, 14903600, 15060480, 15264000, 15467520, 15688000, 16112000, 16197120, 16766550, 16872000, 17649000, 17884320, 17996800, 18072576, 18126000, 18629500, 18825600, 19076608, 19334400, 20246400, 20352000, 21312000, 21461184, 21888000, 22355400, 22496000, 22590720, 23201280, 23532000, 23845760, 24168000, 25100800, 25308000, 25779200, 26826480, 26995200, 27944250, 28238400, 28614912, 29001600, 29807200, 30120960, 30528000, 31376000, 32224000, 32394240, 33533100, 33744000, 35298000, 35768640, 36252000, 37259000, 37651200, 38153216, 38668800, 40492800, 41916375, 42624000, 42922368, 44710800, 44992000, 45181440, 46402560, 47064000, 47691520, 48336000, 50201600, 50616000, 53652960, 53990400, 55888500, 56476800, 57229824, 58003200, 59614400, 61056000, 62752000, 64448000, 67066200, 67488000, 70596000, 71537280, 72504000, 74518000, 75302400, 77337600, 80985600, 83832750, 85844736, 89421600, 89984000, 90362880, 94128000, 95383040, 96672000, 101232000, 107305920, 111777000, 112953600, 114459648, 116006400, 119228800, 125504000, 128896000, 134132400, 134976000, 141192000, 143074560, 145008000, 149036000, 150604800, 161971200, 167665500, 171689472, 178843200, 188256000, 190766080, 193344000, 202464000, 214611840, 223554000, 225907200, 232012800, 238457600, 251008000, 268264800, 269952000, 282384000, 286149120, 290016000, 298072000, 335331000, 343378944, 357686400, 376512000, 386688000, 404928000, 429223680, 447108000, 451814400, 476915200, 536529600, 564768000, 572298240, 580032000, 596144000, 670662000, 715372800, 753024000, 809856000, 858447360, 894216000, 953830400, 1073059200, 1129536000, 1160064000, 1192288000, 1341324000, 1430745600, 1716894720, 1788432000, 2146118400, 2259072000, 2384576000, 2682648000, 2861491200, 3576864000, 4292236800, 4769152000, 5365296000, 7153728000, 8584473600, 10730592000, 14307456000, 21461184000, 42922368000]

約数ペア:

[(1, 42922368000), (2, 21461184000), (3, 14307456000), (4, 10730592000), (5, 8584473600), (6, 7153728000), (8, 5365296000), (9, 4769152000), (10, 4292236800), (12, 3576864000), (15, 2861491200), (16, 2682648000), (18, 2384576000), (19, 2259072000), (20, 2146118400), (24, 1788432000), (25, 1716894720), (30, 1430745600), (32, 1341324000), (36, 1192288000), (37, 1160064000), (38, 1129536000), (40, 1073059200), (45, 953830400), (48, 894216000), (50, 858447360), (53, 809856000), (57, 753024000), (60, 715372800), (64, 670662000), (72, 596144000), (74, 580032000), (75, 572298240), (76, 564768000), (80, 536529600), (90, 476915200), (95, 451814400), (96, 447108000), (100, 429223680), (106, 404928000), (111, 386688000), (114, 376512000), (120, 357686400), (125, 343378944), (128, 335331000), (144, 298072000), (148, 290016000), (150, 286149120), (152, 282384000), (159, 269952000), (160, 268264800), (171, 251008000), (180, 238457600), (185, 232012800), (190, 225907200), (192, 223554000), (200, 214611840), (212, 202464000), (222, 193344000), (225, 190766080), (228, 188256000), (240, 178843200), (250, 171689472), (256, 167665500), (265, 161971200), (285, 150604800), (288, 149036000), (296, 145008000), (300, 143074560), (304, 141192000), (318, 134976000), (320, 134132400), (333, 128896000), (342, 125504000), (360, 119228800), (370, 116006400), (375, 114459648), (380, 112953600), (384, 111777000), (400, 107305920), (424, 101232000), (444, 96672000), (450, 95383040), (456, 94128000), (475, 90362880), (477, 89984000), (480, 89421600), (500, 85844736), (512, 83832750), (530, 80985600), (555, 77337600), (570, 75302400), (576, 74518000), (592, 72504000), (600, 71537280), (608, 70596000), (636, 67488000), (640, 67066200), (666, 64448000), (684, 62752000), (703, 61056000), (720, 59614400), (740, 58003200), (750, 57229824), (760, 56476800), (768, 55888500), (795, 53990400), (800, 53652960), (848, 50616000), (855, 50201600), (888, 48336000), (900, 47691520), (912, 47064000), (925, 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(2664, 16112000), (2736, 15688000), (2775, 15467520), (2812, 15264000), (2850, 15060480), (2880, 14903600), (2960, 14500800), (3000, 14307456), (3021, 14208000), (3040, 14119200), (3072, 13972125), (3180, 13497600), (3200, 13413240), (3330, 12889600), (3392, 12654000), (3420, 12550400), (3515, 12211200), (3552, 12084000), (3600, 11922880), (3648, 11766000), (3700, 11600640), (3800, 11295360), (3816, 11248000), (3840, 11177700), (3922, 10944000), (3975, 10798080), (4000, 10730592), (4028, 10656000), (4218, 10176000), (4240, 10123200), (4275, 10040320), (4440, 9667200), (4500, 9538304), (4560, 9412800), (4608, 9314750), (4625, 9280512), (4736, 9063000), (4750, 9036288), (4770, 8998400), (4800, 8942160), (4864, 8824500), (5035, 8524800), (5088, 8436000), (5120, 8383275), (5300, 8098560), (5328, 8056000), (5472, 7844000), (5550, 7733760), (5624, 7632000), (5700, 7530240), (5760, 7451800), (5883, 7296000), (5920, 7250400), (6000, 7153728), (6042, 7104000), (6080, 7059600), (6327, 6784000), (6360, 6748800), (6400, 6706620), (6625, 6478848), (6660, 6444800), (6784, 6327000), (6840, 6275200), (7030, 6105600), (7104, 6042000), (7125, 6024192), (7200, 5961440), (7296, 5883000), (7400, 5800320), (7600, 5647680), (7632, 5624000), (7680, 5588850), (7844, 5472000), (7950, 5399040), (8000, 5365296), (8056, 5328000), (8325, 5155840), (8436, 5088000), (8480, 5061600), (8550, 5020160), (8880, 4833600), (9000, 4769152), (9063, 4736000), (9120, 4706400), (9216, 4657375), (9250, 4640256), (9472, 4531500), (9500, 4518144), (9540, 4499200), (9600, 4471080), (9728, 4412250), (9805, 4377600), (10070, 4262400), (10176, 4218000), (10545, 4070400), (10600, 4049280), (10656, 4028000), (10944, 3922000), (11100, 3866880), (11248, 3816000), (11400, 3765120), (11520, 3725900), (11766, 3648000), (11840, 3625200), (11925, 3599360), (12000, 3576864), (12084, 3552000), (12160, 3529800), (12654, 3392000), (12720, 3374400), (12800, 3353310), (13250, 3239424), (13320, 3222400), (13568, 3163500), (13680, 3137600), (13875, 3093504), (14060, 3052800), (14208, 3021000), (14250, 3012096), (14400, 2980720), (14592, 2941500), (14800, 2900160), (15105, 2841600), (15200, 2823840), (15264, 2812000), (15360, 2794425), (15688, 2736000), (15900, 2699520), (16000, 2682648), (16112, 2664000), (16650, 2577920), (16872, 2544000), (16960, 2530800), (17100, 2510080), (17575, 2442240), (17649, 2432000), (17760, 2416800), (18000, 2384576), (18126, 2368000), (18240, 2353200), (18500, 2320128), (18944, 2265750), (19000, 2259072), (19080, 2249600), (19200, 2235540), (19456, 2206125), (19610, 2188800), (19875, 2159616), (20140, 2131200), (20352, 2109000), (21090, 2035200), (21200, 2024640), (21312, 2014000), (21375, 2008064), (21888, 1961000), (22200, 1933440), (22496, 1908000), (22800, 1882560), (23040, 1862950), (23532, 1824000), (23680, 1812600), (23850, 1799680), (24000, 1788432), (24168, 1776000), (24320, 1764900), (25175, 1704960), (25308, 1696000), (25440, 1687200), (25600, 1676655), (26500, 1619712), (26640, 1611200), (27136, 1581750), (27360, 1568800), (27750, 1546752), (28120, 1526400), (28416, 1510500), (28500, 1506048), (28800, 1490360), (29184, 1470750), (29415, 1459200), (29600, 1450080), (30210, 1420800), (30400, 1411920), (30528, 1406000), (31376, 1368000), (31635, 1356800), (31800, 1349760), (32000, 1341324), (32224, 1332000), (33300, 1288960), (33744, 1272000), (33920, 1265400), (34200, 1255040), (35150, 1221120), (35298, 1216000), (35520, 1208400), (36000, 1192288), (36252, 1184000), (36480, 1176600), (37000, 1160064), (37259, 1152000), (37888, 1132875), (38000, 1129536), (38160, 1124800), (38400, 1117770), (39220, 1094400), (39750, 1079808), (40280, 1065600), (40704, 1054500), (41625, 1031168), (42180, 1017600), (42400, 1012320), (42624, 1007000), (42750, 1004032), (43776, 980500), (44400, 966720), (44992, 954000), (45315, 947200), (45600, 941280), (46080, 931475), (47064, 912000), (47360, 906300), (47700, 899840), (48000, 894216), (48336, 888000), (48640, 882450), (49025, 875520), (50350, 852480), (50616, 848000), (50880, 843600), (52725, 814080), (53000, 809856), (53280, 805600), (54272, 790875), (54720, 784400), (55500, 773376), (56240, 763200), (56832, 755250), (57000, 753024), (57600, 745180), (58368, 735375), (58830, 729600), (59200, 725040), (59625, 719872), (60420, 710400), (60800, 705960), (61056, 703000), (62752, 684000), (63270, 678400), (63600, 674880), (64000, 670662), (64448, 666000), (66600, 644480), (67488, 636000), (67840, 632700), (68400, 627520), (70300, 610560), (70596, 608000), (71040, 604200), (72000, 596144), (72504, 592000), (72960, 588300), (74000, 580032), (74518, 576000), (75525, 568320), (76000, 564768), (76320, 562400), (76800, 558885), (78440, 547200), (79500, 539904), (80560, 532800), (81408, 527250), (83250, 515584), (84360, 508800), (84800, 506160), (85248, 503500), (85500, 502016), (87552, 490250), (87875, 488448), (88245, 486400), (88800, 483360), (89984, 477000), (90630, 473600), (91200, 470640), (94128, 456000), (94720, 453150), (95400, 449920), (96000, 447108), (96672, 444000), (97280, 441225), (98050, 437760), (100700, 426240), (101232, 424000), (101760, 421800), (105450, 407040), (106000, 404928), (106560, 402800), (109440, 392200), (111000, 386688), (111777, 384000), (112480, 381600), (113664, 377625), (114000, 376512), (115200, 372590), (117660, 364800), (118400, 362520), (119250, 359936), (120840, 355200), (121600, 352980), (122112, 351500), (125504, 342000), (125875, 340992), (126540, 339200), (127200, 337440), (128000, 335331), (128896, 333000), (133200, 322240), (134976, 318000), (135680, 316350), (136800, 313760), (140600, 305280), (141192, 304000), (142080, 302100), (144000, 298072), (145008, 296000), (145920, 294150), (147075, 291840), (148000, 290016), (149036, 288000), (151050, 284160), (152000, 282384), (152640, 281200), (156880, 273600), (158175, 271360), (159000, 269952), (161120, 266400), (162816, 263625), (166500, 257792), (168720, 254400), (169600, 253080), (170496, 251750), (171000, 251008), (175104, 245125), (175750, 244224), (176490, 243200), (177600, 241680), (179968, 238500), (181260, 236800), (182400, 235320), (186295, 230400), (188256, 228000), (189440, 226575), (190800, 224960), (192000, 223554), (193344, 222000), (196100, 218880), (201400, 213120), (202464, 212000), (203520, 210900)]