34859376000

素因数分解:

$2^7\times 3^3\times 5^3\times {\mathrm{19}}^1\times {\mathrm{31}}^1\times {\mathrm{137}}^1$

素因数の和:225

約数の個数: 1024

約数和(自身を含む): 140534784000

約数和(自身を除く): 105675408000

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 25, 27, 30, 31, 32, 36, 38, 40, 45, 48, 50, 54, 57, 60, 62, 64, 72, 75, 76, 80, 90, 93, 95, 96, 100, 108, 114, 120, 124, 125, 128, 135, 137, 144, 150, 152, 155, 160, 171, 180, 186, 190, 192, 200, 216, 225, 228, 240, 248, 250, 270, 274, 279, 285, 288, 300, 304, 310, 320, 342, 360, 372, 375, 380, 384, 400, 411, 432, 450, 456, 465, 475, 480, 496, 500, 513, 540, 548, 558, 570, 576, 589, 600, 608, 620, 640, 675, 684, 685, 720, 744, 750, 760, 775, 800, 822, 837, 855, 864, 900, 912, 930, 950, 960, 992, 1000, 1026, 1080, 1096, 1116, 1125, 1140, 1152, 1178, 1200, 1216, 1233, 1240, 1350, 1368, 1370, 1395, 1425, 1440, 1488, 1500, 1520, 1550, 1600, 1644, 1674, 1710, 1728, 1767, 1800, 1824, 1860, 1900, 1920, 1984, 2000, 2052, 2055, 2160, 2192, 2232, 2250, 2280, 2325, 2356, 2375, 2400, 2432, 2466, 2480, 2565, 2603, 2700, 2736, 2740, 2790, 2850, 2880, 2945, 2976, 3000, 3040, 3100, 3200, 3288, 3348, 3375, 3420, 3425, 3456, 3534, 3600, 3648, 3699, 3720, 3800, 3875, 3968, 4000, 4104, 4110, 4185, 4247, 4275, 4320, 4384, 4464, 4500, 4560, 4650, 4712, 4750, 4800, 4932, 4960, 5130, 5206, 5301, 5400, 5472, 5480, 5580, 5700, 5760, 5890, 5952, 6000, 6080, 6165, 6200, 6576, 6696, 6750, 6840, 6850, 6975, 7068, 7125, 7200, 7296, 7398, 7440, 7600, 7750, 7809, 8000, 8208, 8220, 8370, 8494, 8550, 8640, 8768, 8835, 8928, 9000, 9120, 9300, 9424, 9500, 9600, 9864, 9920, 10260, 10275, 10412, 10602, 10800, 10944, 10960, 11160, 11400, 11625, 11780, 11904, 12000, 12160, 12330, 12400, 12741, 12825, 13015, 13152, 13392, 13500, 13680, 13700, 13950, 14136, 14250, 14400, 14725, 14796, 14880, 15200, 15500, 15618, 15903, 16000, 16416, 16440, 16740, 16988, 17100, 17125, 17280, 17536, 17670, 17856, 18000, 18240, 18495, 18600, 18848, 19000, 19728, 19840, 20520, 20550, 20824, 20925, 21204, 21235, 21375, 21600, 21888, 21920, 22320, 22800, 23250, 23427, 23560, 24000, 24660, 24800, 25482, 25650, 26030, 26304, 26505, 26784, 27000, 27360, 27400, 27900, 28272, 28500, 28800, 29450, 29592, 29760, 30400, 30825, 31000, 31236, 31806, 32832, 32880, 33480, 33976, 34200, 34250, 34875, 35340, 35712, 36000, 36480, 36990, 37200, 37696, 38000, 38223, 39045, 39456, 41040, 41100, 41648, 41850, 42408, 42470, 42750, 43200, 43840, 44175, 44640, 45600, 46500, 46854, 47120, 48000, 49320, 49600, 50964, 51300, 51375, 52060, 52608, 53010, 53568, 54000, 54720, 54800, 55800, 56544, 57000, 58900, 59184, 59520, 60800, 61650, 62000, 62472, 63612, 63705, 64125, 65075, 65664, 65760, 66960, 67952, 68400, 68500, 69750, 70281, 70680, 72000, 73625, 73980, 74400, 75392, 76000, 76446, 78090, 78912, 79515, 80693, 82080, 82200, 83296, 83700, 84816, 84940, 85500, 86400, 87680, 88350, 89280, 91200, 92475, 93000, 93708, 94240, 98640, 99200, 101928, 102600, 102750, 104120, 104625, 106020, 106175, 107136, 108000, 109440, 109600, 111600, 113088, 114000, 114669, 117135, 117800, 118368, 123300, 124000, 124944, 127224, 127410, 128250, 130150, 131520, 132525, 133920, 135904, 136800, 137000, 139500, 140562, 141360, 144000, 147250, 147960, 148800, 152000, 152892, 154125, 156180, 157824, 159030, 161386, 164160, 164400, 166592, 167400, 169632, 169880, 171000, 176700, 178560, 182400, 184950, 186000, 187416, 188480, 191115, 195225, 197280, 203856, 205200, 205500, 208240, 209250, 212040, 212350, 216000, 219200, 220875, 223200, 226176, 228000, 229338, 234270, 235600, 236736, 242079, 246600, 248000, 249888, 254448, 254820, 256500, 260300, 263040, 265050, 267840, 271808, 273600, 274000, 279000, 281124, 282720, 294500, 295920, 297600, 304000, 305784, 308250, 312360, 318060, 318525, 322772, 325375, 328320, 328800, 333184, 334800, 339264, 339760, 342000, 351405, 353400, 369900, 372000, 374832, 376960, 382230, 390450, 394560, 397575, 403465, 407712, 410400, 411000, 416480, 418500, 424080, 424700, 432000, 438400, 441750, 446400, 456000, 458676, 462375, 468540, 471200, 473472, 484158, 493200, 496000, 499776, 508896, 509640, 513000, 520600, 530100, 530875, 535680, 543616, 547200, 548000, 558000, 562248, 565440, 573345, 585675, 589000, 591840, 611568, 616500, 624720, 636120, 637050, 645544, 650750, 657600, 662625, 669600, 678528, 679520, 684000, 702810, 706800, 726237, 739800, 744000, 749664, 764460, 780900, 789120, 795150, 806930, 815424, 820800, 822000, 832960, 837000, 848160, 849400, 883500, 892800, 912000, 917352, 924750, 937080, 942400, 955575, 968316, 976125, 986400, 999552, 1017792, 1019280, 1026000, 1041200, 1060200, 1061750, 1096000, 1116000, 1124496, 1130880, 1146690, 1171350, 1178000, 1183680, 1210395, 1223136, 1233000, 1249440, 1272240, 1274100, 1291088, 1301500, 1315200, 1325250, 1339200, 1359040, 1368000, 1405620, 1413600, 1452474, 1479600, 1488000, 1499328, 1528920, 1561800, 1590300, 1592625, 1613860, 1630848, 1641600, 1644000, 1665920, 1674000, 1696320, 1698800, 1757025, 1767000, 1834704, 1849500, 1874160, 1884800, 1911150, 1936632, 1952250, 1972800, 1987875, 2017325, 2035584, 2038560, 2052000, 2082400, 2120400, 2123500, 2178711, 2192000, 2232000, 2248992, 2293380, 2342700, 2356000, 2367360, 2420790, 2446272, 2466000, 2498880, 2544480, 2548200, 2582176, 2603000, 2650500, 2678400, 2718080, 2736000, 2811240, 2827200, 2866725, 2904948, 2928375, 2959200, 2998656, 3057840, 3123600, 3180600, 3185250, 3227720, 3288000, 3348000, 3392640, 3397600, 3514050, 3534000, 3631185, 3669408, 3699000, 3748320, 3822300, 3873264, 3904500, 3945600, 3975750, 4034650, 4077120, 4104000, 4164800, 4240800, 4247000, 4357422, 4464000, 4497984, 4586760, 4685400, 4712000, 4777875, 4841580, 4892544, 4932000, 4997760, 5088960, 5096400, 5164352, 5206000, 5301000, 5622480, 5654400, 5733450, 5809896, 5856750, 5918400, 6051975, 6115680, 6247200, 6361200, 6370500, 6455440, 6576000, 6696000, 6795200, 7028100, 7068000, 7262370, 7338816, 7398000, 7496640, 7644600, 7746528, 7809000, 7951500, 8069300, 8154240, 8208000, 8329600, 8481600, 8494000, 8714844, 8785125, 8995968, 9173520, 9370800, 9424000, 9555750, 9683160, 9864000, 10086625, 10177920, 10192800, 10328704, 10412000, 10602000, 10893555, 11244960, 11466900, 11619792, 11713500, 11836800, 12103950, 12231360, 12494400, 12722400, 12741000, 12910880, 13392000, 13590400, 14056200, 14136000, 14333625, 14524740, 14677632, 14796000, 14993280, 15289200, 15493056, 15618000, 15903000, 16138600, 16963200, 16988000, 17429688, 17570250, 18155925, 18347040, 18741600, 19111500, 19366320, 19728000, 20173250, 20385600, 20824000, 21204000, 21787110, 22489920, 22933800, 23239584, 23427000, 24207900, 24462720, 24988800, 25444800, 25482000, 25821760, 28112400, 28272000, 28667250, 29049480, 29592000, 30259875, 30578400, 30986112, 31236000, 31806000, 32277200, 33976000, 34859376, 35140500, 36311850, 36694080, 37483200, 38223000, 38732640, 40346500, 40771200, 41648000, 42408000, 43574220, 44979840, 45867600, 46479168, 46854000, 48415800, 50889600, 50964000, 51643520, 54467775, 56224800, 57334500, 58098960, 59184000, 60519750, 61156800, 62472000, 63612000, 64554400, 67952000, 69718752, 70281000, 72623700, 73388160, 74966400, 76446000, 77465280, 80693000, 84816000, 87148440, 90779625, 91735200, 92958336, 93708000, 96831600, 101928000, 108935550, 112449600, 114669000, 116197920, 121039500, 122313600, 124944000, 127224000, 129108800, 139437504, 140562000, 145247400, 152892000, 154930560, 161386000, 174296880, 181559250, 183470400, 187416000, 193663200, 203856000, 217871100, 224899200, 229338000, 232395840, 242079000, 254448000, 258217600, 272338875, 278875008, 281124000, 290494800, 305784000, 322772000, 348593760, 363118500, 366940800, 374832000, 387326400, 435742200, 458676000, 464791680, 484158000, 544677750, 562248000, 580989600, 611568000, 645544000, 697187520, 726237000, 774652800, 871484400, 917352000, 968316000, 1089355500, 1124496000, 1161979200, 1291088000, 1394375040, 1452474000, 1742968800, 1834704000, 1936632000, 2178711000, 2323958400, 2904948000, 3485937600, 3873264000, 4357422000, 5809896000, 6971875200, 8714844000, 11619792000, 17429688000, 34859376000]

約数ペア:

[(1, 34859376000), (2, 17429688000), (3, 11619792000), (4, 8714844000), (5, 6971875200), (6, 5809896000), (8, 4357422000), (9, 3873264000), (10, 3485937600), (12, 2904948000), (15, 2323958400), (16, 2178711000), (18, 1936632000), (19, 1834704000), (20, 1742968800), (24, 1452474000), (25, 1394375040), (27, 1291088000), (30, 1161979200), (31, 1124496000), (32, 1089355500), (36, 968316000), (38, 917352000), (40, 871484400), (45, 774652800), (48, 726237000), (50, 697187520), (54, 645544000), (57, 611568000), (60, 580989600), (62, 562248000), (64, 544677750), (72, 484158000), (75, 464791680), (76, 458676000), (80, 435742200), (90, 387326400), (93, 374832000), (95, 366940800), (96, 363118500), (100, 348593760), (108, 322772000), (114, 305784000), (120, 290494800), (124, 281124000), (125, 278875008), (128, 272338875), (135, 258217600), (137, 254448000), (144, 242079000), (150, 232395840), (152, 229338000), (155, 224899200), (160, 217871100), (171, 203856000), (180, 193663200), (186, 187416000), (190, 183470400), (192, 181559250), (200, 174296880), (216, 161386000), (225, 154930560), (228, 152892000), (240, 145247400), (248, 140562000), (250, 139437504), (270, 129108800), (274, 127224000), (279, 124944000), (285, 122313600), (288, 121039500), (300, 116197920), (304, 114669000), (310, 112449600), (320, 108935550), (342, 101928000), (360, 96831600), (372, 93708000), (375, 92958336), (380, 91735200), (384, 90779625), (400, 87148440), (411, 84816000), (432, 80693000), (450, 77465280), (456, 76446000), (465, 74966400), (475, 73388160), (480, 72623700), (496, 70281000), (500, 69718752), (513, 67952000), (540, 64554400), (548, 63612000), (558, 62472000), (570, 61156800), (576, 60519750), (589, 59184000), (600, 58098960), (608, 57334500), (620, 56224800), (640, 54467775), (675, 51643520), (684, 50964000), (685, 50889600), (720, 48415800), (744, 46854000), (750, 46479168), (760, 45867600), (775, 44979840), (800, 43574220), (822, 42408000), (837, 41648000), (855, 40771200), (864, 40346500), (900, 38732640), (912, 38223000), (930, 37483200), (950, 36694080), (960, 36311850), (992, 35140500), (1000, 34859376), (1026, 33976000), (1080, 32277200), (1096, 31806000), (1116, 31236000), (1125, 30986112), (1140, 30578400), (1152, 30259875), (1178, 29592000), (1200, 29049480), (1216, 28667250), (1233, 28272000), (1240, 28112400), (1350, 25821760), (1368, 25482000), (1370, 25444800), (1395, 24988800), (1425, 24462720), (1440, 24207900), (1488, 23427000), (1500, 23239584), (1520, 22933800), (1550, 22489920), (1600, 21787110), (1644, 21204000), (1674, 20824000), (1710, 20385600), (1728, 20173250), (1767, 19728000), (1800, 19366320), (1824, 19111500), (1860, 18741600), (1900, 18347040), (1920, 18155925), (1984, 17570250), (2000, 17429688), (2052, 16988000), (2055, 16963200), (2160, 16138600), (2192, 15903000), (2232, 15618000), (2250, 15493056), (2280, 15289200), (2325, 14993280), (2356, 14796000), (2375, 14677632), (2400, 14524740), (2432, 14333625), (2466, 14136000), (2480, 14056200), (2565, 13590400), (2603, 13392000), (2700, 12910880), (2736, 12741000), (2740, 12722400), (2790, 12494400), (2850, 12231360), (2880, 12103950), (2945, 11836800), (2976, 11713500), (3000, 11619792), (3040, 11466900), (3100, 11244960), (3200, 10893555), (3288, 10602000), (3348, 10412000), (3375, 10328704), (3420, 10192800), (3425, 10177920), (3456, 10086625), (3534, 9864000), (3600, 9683160), (3648, 9555750), (3699, 9424000), (3720, 9370800), (3800, 9173520), (3875, 8995968), (3968, 8785125), (4000, 8714844), (4104, 8494000), (4110, 8481600), (4185, 8329600), (4247, 8208000), (4275, 8154240), (4320, 8069300), (4384, 7951500), (4464, 7809000), (4500, 7746528), (4560, 7644600), (4650, 7496640), (4712, 7398000), (4750, 7338816), (4800, 7262370), (4932, 7068000), (4960, 7028100), (5130, 6795200), (5206, 6696000), (5301, 6576000), (5400, 6455440), (5472, 6370500), (5480, 6361200), (5580, 6247200), (5700, 6115680), (5760, 6051975), (5890, 5918400), (5952, 5856750), (6000, 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(13500, 2582176), (13680, 2548200), (13700, 2544480), (13950, 2498880), (14136, 2466000), (14250, 2446272), (14400, 2420790), (14725, 2367360), (14796, 2356000), (14880, 2342700), (15200, 2293380), (15500, 2248992), (15618, 2232000), (15903, 2192000), (16000, 2178711), (16416, 2123500), (16440, 2120400), (16740, 2082400), (16988, 2052000), (17100, 2038560), (17125, 2035584), (17280, 2017325), (17536, 1987875), (17670, 1972800), (17856, 1952250), (18000, 1936632), (18240, 1911150), (18495, 1884800), (18600, 1874160), (18848, 1849500), (19000, 1834704), (19728, 1767000), (19840, 1757025), (20520, 1698800), (20550, 1696320), (20824, 1674000), (20925, 1665920), (21204, 1644000), (21235, 1641600), (21375, 1630848), (21600, 1613860), (21888, 1592625), (21920, 1590300), (22320, 1561800), (22800, 1528920), (23250, 1499328), (23427, 1488000), (23560, 1479600), (24000, 1452474), (24660, 1413600), (24800, 1405620), (25482, 1368000), (25650, 1359040), (26030, 1339200), (26304, 1325250), (26505, 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339760), (102750, 339264), (104120, 334800), (104625, 333184), (106020, 328800), (106175, 328320), (107136, 325375), (108000, 322772), (109440, 318525), (109600, 318060), (111600, 312360), (113088, 308250), (114000, 305784), (114669, 304000), (117135, 297600), (117800, 295920), (118368, 294500), (123300, 282720), (124000, 281124), (124944, 279000), (127224, 274000), (127410, 273600), (128250, 271808), (130150, 267840), (131520, 265050), (132525, 263040), (133920, 260300), (135904, 256500), (136800, 254820), (137000, 254448), (139500, 249888), (140562, 248000), (141360, 246600), (144000, 242079), (147250, 236736), (147960, 235600), (148800, 234270), (152000, 229338), (152892, 228000), (154125, 226176), (156180, 223200), (157824, 220875), (159030, 219200), (161386, 216000), (164160, 212350), (164400, 212040), (166592, 209250), (167400, 208240), (169632, 205500), (169880, 205200), (171000, 203856), (176700, 197280), (178560, 195225), (182400, 191115), (184950, 188480), (186000, 187416)]