42319872000

素因数分解:

$2^{17}\times 3^2\times 5^3\times 7^1\times {\mathrm{41}}^1$

素因数の和:103

約数の個数: 864

約数和(自身を含む): 178626337344

約数和(自身を除く): 136306465344

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, 41, 42, 45, 48, 50, 56, 60, 63, 64, 70, 72, 75, 80, 82, 84, 90, 96, 100, 105, 112, 120, 123, 125, 126, 128, 140, 144, 150, 160, 164, 168, 175, 180, 192, 200, 205, 210, 224, 225, 240, 246, 250, 252, 256, 280, 287, 288, 300, 315, 320, 328, 336, 350, 360, 369, 375, 384, 400, 410, 420, 448, 450, 480, 492, 500, 504, 512, 525, 560, 574, 576, 600, 615, 630, 640, 656, 672, 700, 720, 738, 750, 768, 800, 820, 840, 861, 875, 896, 900, 960, 984, 1000, 1008, 1024, 1025, 1050, 1120, 1125, 1148, 1152, 1200, 1230, 1260, 1280, 1312, 1344, 1400, 1435, 1440, 1476, 1500, 1536, 1575, 1600, 1640, 1680, 1722, 1750, 1792, 1800, 1845, 1920, 1968, 2000, 2016, 2048, 2050, 2100, 2240, 2250, 2296, 2304, 2400, 2460, 2520, 2560, 2583, 2624, 2625, 2688, 2800, 2870, 2880, 2952, 3000, 3072, 3075, 3150, 3200, 3280, 3360, 3444, 3500, 3584, 3600, 3690, 3840, 3936, 4000, 4032, 4096, 4100, 4200, 4305, 4480, 4500, 4592, 4608, 4800, 4920, 5040, 5120, 5125, 5166, 5248, 5250, 5376, 5600, 5740, 5760, 5904, 6000, 6144, 6150, 6300, 6400, 6560, 6720, 6888, 7000, 7168, 7175, 7200, 7380, 7680, 7872, 7875, 8000, 8064, 8192, 8200, 8400, 8610, 8960, 9000, 9184, 9216, 9225, 9600, 9840, 10080, 10240, 10250, 10332, 10496, 10500, 10752, 11200, 11480, 11520, 11808, 12000, 12288, 12300, 12600, 12800, 12915, 13120, 13440, 13776, 14000, 14336, 14350, 14400, 14760, 15360, 15375, 15744, 15750, 16000, 16128, 16384, 16400, 16800, 17220, 17920, 18000, 18368, 18432, 18450, 19200, 19680, 20160, 20480, 20500, 20664, 20992, 21000, 21504, 21525, 22400, 22960, 23040, 23616, 24000, 24576, 24600, 25200, 25600, 25830, 26240, 26880, 27552, 28000, 28672, 28700, 28800, 29520, 30720, 30750, 31488, 31500, 32000, 32256, 32768, 32800, 33600, 34440, 35840, 35875, 36000, 36736, 36864, 36900, 38400, 39360, 40320, 40960, 41000, 41328, 41984, 42000, 43008, 43050, 44800, 45920, 46080, 46125, 47232, 48000, 49152, 49200, 50400, 51200, 51660, 52480, 53760, 55104, 56000, 57344, 57400, 57600, 59040, 61440, 61500, 62976, 63000, 64000, 64512, 64575, 65536, 65600, 67200, 68880, 71680, 71750, 72000, 73472, 73728, 73800, 76800, 78720, 80640, 81920, 82000, 82656, 83968, 84000, 86016, 86100, 89600, 91840, 92160, 92250, 94464, 96000, 98304, 98400, 100800, 102400, 103320, 104960, 107520, 107625, 110208, 112000, 114688, 114800, 115200, 118080, 122880, 123000, 125952, 126000, 128000, 129024, 129150, 131072, 131200, 134400, 137760, 143360, 143500, 144000, 146944, 147456, 147600, 153600, 157440, 161280, 163840, 164000, 165312, 167936, 168000, 172032, 172200, 179200, 183680, 184320, 184500, 188928, 192000, 196608, 196800, 201600, 204800, 206640, 209920, 215040, 215250, 220416, 224000, 229376, 229600, 230400, 236160, 245760, 246000, 251904, 252000, 256000, 258048, 258300, 262400, 268800, 275520, 286720, 287000, 288000, 293888, 294912, 295200, 307200, 314880, 322560, 322875, 327680, 328000, 330624, 335872, 336000, 344064, 344400, 358400, 367360, 368640, 369000, 377856, 384000, 393216, 393600, 403200, 409600, 413280, 419840, 430080, 430500, 440832, 448000, 458752, 459200, 460800, 472320, 491520, 492000, 503808, 504000, 512000, 516096, 516600, 524800, 537600, 551040, 573440, 574000, 576000, 587776, 589824, 590400, 614400, 629760, 645120, 645750, 655360, 656000, 661248, 671744, 672000, 688128, 688800, 716800, 734720, 737280, 738000, 755712, 768000, 787200, 806400, 819200, 826560, 839680, 860160, 861000, 881664, 896000, 917504, 918400, 921600, 944640, 983040, 984000, 1007616, 1008000, 1024000, 1032192, 1033200, 1049600, 1075200, 1102080, 1146880, 1148000, 1152000, 1175552, 1179648, 1180800, 1228800, 1259520, 1290240, 1291500, 1312000, 1322496, 1343488, 1344000, 1376256, 1377600, 1433600, 1469440, 1474560, 1476000, 1511424, 1536000, 1574400, 1612800, 1638400, 1653120, 1679360, 1720320, 1722000, 1763328, 1792000, 1836800, 1843200, 1889280, 1966080, 1968000, 2015232, 2016000, 2048000, 2064384, 2066400, 2099200, 2150400, 2204160, 2293760, 2296000, 2304000, 2351104, 2361600, 2457600, 2519040, 2580480, 2583000, 2624000, 2644992, 2686976, 2688000, 2752512, 2755200, 2867200, 2938880, 2949120, 2952000, 3022848, 3072000, 3148800, 3225600, 3276800, 3306240, 3358720, 3440640, 3444000, 3526656, 3584000, 3673600, 3686400, 3778560, 3936000, 4030464, 4032000, 4096000, 4128768, 4132800, 4198400, 4300800, 4408320, 4587520, 4592000, 4608000, 4702208, 4723200, 4915200, 5038080, 5160960, 5166000, 5248000, 5289984, 5373952, 5376000, 5510400, 5734400, 5877760, 5898240, 5904000, 6045696, 6144000, 6297600, 6451200, 6612480, 6717440, 6881280, 6888000, 7053312, 7168000, 7347200, 7372800, 7557120, 7872000, 8060928, 8064000, 8192000, 8257536, 8265600, 8396800, 8601600, 8816640, 9184000, 9216000, 9404416, 9446400, 9830400, 10076160, 10321920, 10332000, 10496000, 10579968, 10752000, 11020800, 11468800, 11755520, 11808000, 12091392, 12288000, 12595200, 12902400, 13224960, 13434880, 13762560, 13776000, 14106624, 14336000, 14694400, 14745600, 15114240, 15744000, 16121856, 16128000, 16384000, 16531200, 16793600, 17203200, 17633280, 18368000, 18432000, 18808832, 18892800, 20152320, 20643840, 20664000, 20992000, 21159936, 21504000, 22041600, 22937600, 23511040, 23616000, 24182784, 24576000, 25190400, 25804800, 26449920, 26869760, 27552000, 28213248, 28672000, 29388800, 29491200, 30228480, 31488000, 32256000, 33062400, 33587200, 34406400, 35266560, 36736000, 36864000, 37617664, 37785600, 40304640, 41287680, 41328000, 41984000, 42319872, 43008000, 44083200, 47022080, 47232000, 48365568, 49152000, 50380800, 51609600, 52899840, 55104000, 56426496, 57344000, 58777600, 60456960, 62976000, 64512000, 66124800, 67174400, 68812800, 70533120, 73472000, 73728000, 75571200, 80609280, 82656000, 83968000, 84639744, 86016000, 88166400, 94044160, 94464000, 100761600, 103219200, 105799680, 110208000, 112852992, 114688000, 117555200, 120913920, 125952000, 129024000, 132249600, 134348800, 141066240, 146944000, 147456000, 151142400, 165312000, 167936000, 169279488, 172032000, 176332800, 188088320, 188928000, 201523200, 206438400, 211599360, 220416000, 235110400, 241827840, 251904000, 258048000, 264499200, 282132480, 293888000, 302284800, 330624000, 335872000, 338558976, 344064000, 352665600, 377856000, 403046400, 423198720, 440832000, 470220800, 503808000, 516096000, 528998400, 564264960, 587776000, 604569600, 661248000, 671744000, 705331200, 755712000, 846397440, 881664000, 940441600, 1007616000, 1032192000, 1057996800, 1175552000, 1209139200, 1322496000, 1410662400, 1511424000, 1692794880, 1763328000, 2015232000, 2115993600, 2351104000, 2644992000, 2821324800, 3022848000, 3526656000, 4231987200, 4702208000, 5289984000, 6045696000, 7053312000, 8463974400, 10579968000, 14106624000, 21159936000, 42319872000]

約数ペア:

[(1, 42319872000), (2, 21159936000), (3, 14106624000), (4, 10579968000), (5, 8463974400), (6, 7053312000), (7, 6045696000), (8, 5289984000), (9, 4702208000), (10, 4231987200), (12, 3526656000), (14, 3022848000), (15, 2821324800), (16, 2644992000), (18, 2351104000), (20, 2115993600), (21, 2015232000), (24, 1763328000), (25, 1692794880), (28, 1511424000), (30, 1410662400), (32, 1322496000), (35, 1209139200), (36, 1175552000), (40, 1057996800), (41, 1032192000), (42, 1007616000), (45, 940441600), (48, 881664000), (50, 846397440), (56, 755712000), (60, 705331200), (63, 671744000), (64, 661248000), (70, 604569600), (72, 587776000), (75, 564264960), (80, 528998400), (82, 516096000), (84, 503808000), (90, 470220800), (96, 440832000), (100, 423198720), (105, 403046400), (112, 377856000), (120, 352665600), (123, 344064000), (125, 338558976), (126, 335872000), (128, 330624000), (140, 302284800), (144, 293888000), (150, 282132480), (160, 264499200), (164, 258048000), (168, 251904000), (175, 241827840), (180, 235110400), (192, 220416000), (200, 211599360), (205, 206438400), (210, 201523200), (224, 188928000), (225, 188088320), (240, 176332800), (246, 172032000), (250, 169279488), (252, 167936000), (256, 165312000), (280, 151142400), (287, 147456000), (288, 146944000), (300, 141066240), (315, 134348800), (320, 132249600), (328, 129024000), (336, 125952000), (350, 120913920), (360, 117555200), (369, 114688000), (375, 112852992), (384, 110208000), (400, 105799680), (410, 103219200), (420, 100761600), (448, 94464000), (450, 94044160), (480, 88166400), (492, 86016000), (500, 84639744), (504, 83968000), (512, 82656000), (525, 80609280), (560, 75571200), (574, 73728000), (576, 73472000), (600, 70533120), (615, 68812800), (630, 67174400), (640, 66124800), (656, 64512000), (672, 62976000), (700, 60456960), (720, 58777600), (738, 57344000), (750, 56426496), (768, 55104000), (800, 52899840), (820, 51609600), (840, 50380800), (861, 49152000), (875, 48365568), (896, 47232000), (900, 47022080), (960, 44083200), (984, 43008000), (1000, 42319872), (1008, 41984000), (1024, 41328000), (1025, 41287680), (1050, 40304640), (1120, 37785600), (1125, 37617664), (1148, 36864000), (1152, 36736000), (1200, 35266560), (1230, 34406400), (1260, 33587200), (1280, 33062400), (1312, 32256000), (1344, 31488000), (1400, 30228480), (1435, 29491200), (1440, 29388800), (1476, 28672000), (1500, 28213248), (1536, 27552000), (1575, 26869760), (1600, 26449920), (1640, 25804800), (1680, 25190400), (1722, 24576000), (1750, 24182784), (1792, 23616000), (1800, 23511040), (1845, 22937600), (1920, 22041600), (1968, 21504000), (2000, 21159936), (2016, 20992000), (2048, 20664000), (2050, 20643840), (2100, 20152320), (2240, 18892800), (2250, 18808832), (2296, 18432000), (2304, 18368000), (2400, 17633280), (2460, 17203200), (2520, 16793600), (2560, 16531200), (2583, 16384000), (2624, 16128000), (2625, 16121856), (2688, 15744000), (2800, 15114240), (2870, 14745600), (2880, 14694400), (2952, 14336000), (3000, 14106624), (3072, 13776000), (3075, 13762560), (3150, 13434880), (3200, 13224960), (3280, 12902400), (3360, 12595200), (3444, 12288000), (3500, 12091392), (3584, 11808000), (3600, 11755520), (3690, 11468800), (3840, 11020800), (3936, 10752000), (4000, 10579968), (4032, 10496000), (4096, 10332000), (4100, 10321920), (4200, 10076160), (4305, 9830400), (4480, 9446400), (4500, 9404416), (4592, 9216000), (4608, 9184000), (4800, 8816640), (4920, 8601600), (5040, 8396800), (5120, 8265600), (5125, 8257536), (5166, 8192000), (5248, 8064000), (5250, 8060928), (5376, 7872000), (5600, 7557120), (5740, 7372800), (5760, 7347200), (5904, 7168000), (6000, 7053312), (6144, 6888000), (6150, 6881280), (6300, 6717440), (6400, 6612480), (6560, 6451200), (6720, 6297600), (6888, 6144000), (7000, 6045696), (7168, 5904000), (7175, 5898240), (7200, 5877760), (7380, 5734400), (7680, 5510400), (7872, 5376000), (7875, 5373952), (8000, 5289984), (8064, 5248000), (8192, 5166000), (8200, 5160960), (8400, 5038080), (8610, 4915200), (8960, 4723200), (9000, 4702208), (9184, 4608000), (9216, 4592000), (9225, 4587520), (9600, 4408320), (9840, 4300800), (10080, 4198400), (10240, 4132800), (10250, 4128768), (10332, 4096000), (10496, 4032000), (10500, 4030464), (10752, 3936000), (11200, 3778560), (11480, 3686400), (11520, 3673600), (11808, 3584000), (12000, 3526656), (12288, 3444000), (12300, 3440640), (12600, 3358720), (12800, 3306240), (12915, 3276800), (13120, 3225600), (13440, 3148800), (13776, 3072000), (14000, 3022848), (14336, 2952000), (14350, 2949120), (14400, 2938880), (14760, 2867200), (15360, 2755200), (15375, 2752512), (15744, 2688000), (15750, 2686976), (16000, 2644992), (16128, 2624000), (16384, 2583000), (16400, 2580480), (16800, 2519040), (17220, 2457600), (17920, 2361600), (18000, 2351104), (18368, 2304000), (18432, 2296000), (18450, 2293760), (19200, 2204160), (19680, 2150400), (20160, 2099200), (20480, 2066400), (20500, 2064384), (20664, 2048000), (20992, 2016000), (21000, 2015232), (21504, 1968000), (21525, 1966080), (22400, 1889280), (22960, 1843200), (23040, 1836800), (23616, 1792000), (24000, 1763328), (24576, 1722000), (24600, 1720320), (25200, 1679360), (25600, 1653120), (25830, 1638400), (26240, 1612800), (26880, 1574400), (27552, 1536000), (28000, 1511424), (28672, 1476000), (28700, 1474560), (28800, 1469440), (29520, 1433600), (30720, 1377600), (30750, 1376256), (31488, 1344000), (31500, 1343488), (32000, 1322496), (32256, 1312000), (32768, 1291500), (32800, 1290240), (33600, 1259520), (34440, 1228800), (35840, 1180800), (35875, 1179648), (36000, 1175552), (36736, 1152000), (36864, 1148000), (36900, 1146880), (38400, 1102080), (39360, 1075200), (40320, 1049600), (40960, 1033200), (41000, 1032192), (41328, 1024000), (41984, 1008000), (42000, 1007616), (43008, 984000), (43050, 983040), (44800, 944640), (45920, 921600), (46080, 918400), (46125, 917504), (47232, 896000), (48000, 881664), (49152, 861000), (49200, 860160), (50400, 839680), (51200, 826560), (51660, 819200), (52480, 806400), (53760, 787200), (55104, 768000), (56000, 755712), (57344, 738000), (57400, 737280), (57600, 734720), (59040, 716800), (61440, 688800), (61500, 688128), (62976, 672000), (63000, 671744), (64000, 661248), (64512, 656000), (64575, 655360), (65536, 645750), (65600, 645120), (67200, 629760), (68880, 614400), (71680, 590400), (71750, 589824), (72000, 587776), (73472, 576000), (73728, 574000), (73800, 573440), (76800, 551040), (78720, 537600), (80640, 524800), (81920, 516600), (82000, 516096), (82656, 512000), (83968, 504000), (84000, 503808), (86016, 492000), (86100, 491520), (89600, 472320), (91840, 460800), (92160, 459200), (92250, 458752), (94464, 448000), (96000, 440832), (98304, 430500), (98400, 430080), (100800, 419840), (102400, 413280), (103320, 409600), (104960, 403200), (107520, 393600), (107625, 393216), (110208, 384000), (112000, 377856), (114688, 369000), (114800, 368640), (115200, 367360), (118080, 358400), (122880, 344400), (123000, 344064), (125952, 336000), (126000, 335872), (128000, 330624), (129024, 328000), (129150, 327680), (131072, 322875), (131200, 322560), (134400, 314880), (137760, 307200), (143360, 295200), (143500, 294912), (144000, 293888), (146944, 288000), (147456, 287000), (147600, 286720), (153600, 275520), (157440, 268800), (161280, 262400), (163840, 258300), (164000, 258048), (165312, 256000), (167936, 252000), (168000, 251904), (172032, 246000), (172200, 245760), (179200, 236160), (183680, 230400), (184320, 229600), (184500, 229376), (188928, 224000), (192000, 220416), (196608, 215250), (196800, 215040), (201600, 209920), (204800, 206640)]