30048480000

素因数分解:

$2^8\times 3^2\times 5^4\times 7^1\times {\mathrm{11}}^1\times {\mathrm{271}}^1$

素因数の和:331

約数の個数: 1080

約数和(自身を含む): 135473834496

約数和(自身を除く): 105425354496

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 28, 30, 32, 33, 35, 36, 40, 42, 44, 45, 48, 50, 55, 56, 60, 63, 64, 66, 70, 72, 75, 77, 80, 84, 88, 90, 96, 99, 100, 105, 110, 112, 120, 125, 126, 128, 132, 140, 144, 150, 154, 160, 165, 168, 175, 176, 180, 192, 198, 200, 210, 220, 224, 225, 231, 240, 250, 252, 256, 264, 271, 275, 280, 288, 300, 308, 315, 320, 330, 336, 350, 352, 360, 375, 384, 385, 396, 400, 420, 440, 448, 450, 462, 480, 495, 500, 504, 525, 528, 542, 550, 560, 576, 600, 616, 625, 630, 640, 660, 672, 693, 700, 704, 720, 750, 768, 770, 792, 800, 813, 825, 840, 875, 880, 896, 900, 924, 960, 990, 1000, 1008, 1050, 1056, 1084, 1100, 1120, 1125, 1152, 1155, 1200, 1232, 1250, 1260, 1280, 1320, 1344, 1355, 1375, 1386, 1400, 1408, 1440, 1500, 1540, 1575, 1584, 1600, 1626, 1650, 1680, 1750, 1760, 1792, 1800, 1848, 1875, 1897, 1920, 1925, 1980, 2000, 2016, 2100, 2112, 2168, 2200, 2240, 2250, 2304, 2310, 2400, 2439, 2464, 2475, 2500, 2520, 2625, 2640, 2688, 2710, 2750, 2772, 2800, 2816, 2880, 2981, 3000, 3080, 3150, 3168, 3200, 3252, 3300, 3360, 3465, 3500, 3520, 3600, 3696, 3750, 3794, 3840, 3850, 3960, 4000, 4032, 4065, 4125, 4200, 4224, 4336, 4375, 4400, 4480, 4500, 4620, 4800, 4878, 4928, 4950, 5000, 5040, 5250, 5280, 5376, 5420, 5500, 5544, 5600, 5625, 5691, 5760, 5775, 5962, 6000, 6160, 6300, 6336, 6400, 6504, 6600, 6720, 6775, 6875, 6930, 7000, 7040, 7200, 7392, 7500, 7588, 7700, 7875, 7920, 8000, 8064, 8130, 8250, 8400, 8448, 8672, 8750, 8800, 8943, 8960, 9000, 9240, 9485, 9600, 9625, 9756, 9856, 9900, 10000, 10080, 10500, 10560, 10840, 11000, 11088, 11200, 11250, 11382, 11520, 11550, 11924, 12000, 12195, 12320, 12375, 12600, 12672, 13008, 13125, 13200, 13440, 13550, 13750, 13860, 14000, 14080, 14400, 14784, 14905, 15000, 15176, 15400, 15750, 15840, 16000, 16128, 16260, 16500, 16800, 17073, 17325, 17344, 17500, 17600, 17886, 18000, 18480, 18970, 19200, 19250, 19512, 19712, 19800, 20000, 20160, 20325, 20625, 20867, 21000, 21120, 21680, 22000, 22176, 22400, 22500, 22764, 23100, 23848, 24000, 24390, 24640, 24750, 25200, 25344, 26016, 26250, 26400, 26829, 26880, 27100, 27500, 27720, 28000, 28455, 28800, 28875, 29568, 29810, 30000, 30352, 30800, 31500, 31680, 32000, 32520, 33000, 33600, 33875, 34146, 34650, 34688, 35000, 35200, 35772, 36000, 36960, 37940, 38500, 39024, 39375, 39600, 40000, 40320, 40650, 41250, 41734, 42000, 42240, 43360, 44000, 44352, 44715, 44800, 45000, 45528, 46200, 47425, 47696, 48000, 48125, 48780, 49280, 49500, 50400, 52032, 52500, 52800, 53658, 54200, 55000, 55440, 56000, 56910, 57600, 57750, 59136, 59620, 60000, 60704, 60975, 61600, 61875, 62601, 63000, 63360, 65040, 66000, 67200, 67750, 68292, 69300, 69376, 70000, 70400, 71544, 72000, 73920, 74525, 75880, 77000, 78048, 78750, 79200, 80000, 80640, 81300, 82500, 83468, 84000, 85365, 86625, 86720, 88000, 88704, 89430, 90000, 91056, 92400, 94850, 95392, 96000, 96250, 97560, 98560, 99000, 100800, 101625, 104064, 104335, 105000, 105600, 107316, 108400, 110000, 110880, 112000, 113820, 115500, 119240, 120000, 121408, 121950, 123200, 123750, 125202, 126000, 126720, 130080, 132000, 134145, 134400, 135500, 136584, 138600, 140000, 142275, 143088, 144000, 144375, 147840, 149050, 151760, 154000, 156096, 157500, 158400, 160000, 162600, 165000, 166936, 168000, 169375, 170730, 173250, 173440, 176000, 177408, 178860, 180000, 182112, 184800, 187803, 189700, 190784, 192500, 195120, 198000, 201600, 203250, 208128, 208670, 210000, 211200, 214632, 216800, 220000, 221760, 223575, 224000, 227640, 231000, 237125, 238480, 240000, 242816, 243900, 246400, 247500, 250404, 252000, 260160, 264000, 268290, 271000, 273168, 277200, 280000, 284550, 286176, 288000, 288750, 295680, 298100, 303520, 304875, 308000, 312192, 313005, 315000, 316800, 325200, 330000, 333872, 336000, 338750, 341460, 346500, 346880, 352000, 357720, 360000, 364224, 369600, 372625, 375606, 379400, 381568, 385000, 390240, 396000, 403200, 406500, 417340, 420000, 426825, 429264, 433125, 433600, 440000, 443520, 447150, 455280, 462000, 474250, 476960, 480000, 485632, 487800, 492800, 495000, 500808, 504000, 508125, 520320, 521675, 528000, 536580, 542000, 546336, 554400, 560000, 569100, 572352, 577500, 596200, 607040, 609750, 616000, 624384, 626010, 630000, 633600, 650400, 660000, 667744, 670725, 672000, 677500, 682920, 693000, 711375, 715440, 720000, 728448, 739200, 745250, 751212, 758800, 763136, 770000, 780480, 792000, 813000, 834680, 840000, 853650, 858528, 866250, 867200, 880000, 887040, 894300, 910560, 924000, 939015, 948500, 953920, 975600, 990000, 1001616, 1008000, 1016250, 1040640, 1043350, 1056000, 1073160, 1084000, 1092672, 1108800, 1117875, 1120000, 1138200, 1144704, 1155000, 1185625, 1192400, 1214080, 1219500, 1232000, 1252020, 1260000, 1300800, 1320000, 1335488, 1341450, 1355000, 1365840, 1386000, 1422750, 1430880, 1440000, 1456896, 1478400, 1490500, 1502424, 1517600, 1524375, 1540000, 1560960, 1565025, 1584000, 1626000, 1669360, 1680000, 1707300, 1717056, 1732500, 1734400, 1760000, 1788600, 1821120, 1848000, 1863125, 1878030, 1897000, 1907840, 1951200, 1980000, 2003232, 2016000, 2032500, 2086700, 2134125, 2146320, 2168000, 2185344, 2217600, 2235750, 2276400, 2289408, 2310000, 2371250, 2384800, 2428160, 2439000, 2464000, 2504040, 2520000, 2601600, 2608375, 2640000, 2670976, 2682900, 2710000, 2731680, 2772000, 2845500, 2861760, 2981000, 3004848, 3035200, 3048750, 3080000, 3121920, 3130050, 3168000, 3252000, 3338720, 3353625, 3360000, 3414600, 3434112, 3465000, 3556875, 3577200, 3642240, 3696000, 3726250, 3756060, 3794000, 3815680, 3902400, 3960000, 4006464, 4065000, 4173400, 4268250, 4292640, 4336000, 4370688, 4435200, 4471500, 4552800, 4620000, 4695075, 4742500, 4769600, 4878000, 5008080, 5040000, 5203200, 5216750, 5280000, 5341952, 5365800, 5420000, 5463360, 5544000, 5589375, 5691000, 5723520, 5962000, 6009696, 6070400, 6097500, 6160000, 6260100, 6504000, 6677440, 6707250, 6829200, 6868224, 6930000, 7113750, 7154400, 7284480, 7392000, 7452500, 7512120, 7588000, 7804800, 7825125, 7920000, 8012928, 8130000, 8346800, 8536500, 8585280, 8672000, 8943000, 9105600, 9240000, 9390150, 9485000, 9539200, 9756000, 10016160, 10080000, 10433500, 10670625, 10731600, 10840000, 10926720, 11088000, 11178750, 11382000, 11447040, 11924000, 12019392, 12140800, 12195000, 12320000, 12520200, 13008000, 13041875, 13354880, 13414500, 13658400, 13860000, 14227500, 14308800, 14905000, 15024240, 15176000, 15609600, 15650250, 15840000, 16025856, 16260000, 16693600, 16768125, 17073000, 17170560, 17886000, 18211200, 18480000, 18780300, 18970000, 19078400, 19512000, 20032320, 20867000, 21341250, 21463200, 21680000, 21853440, 22176000, 22357500, 22764000, 23475375, 23848000, 24038784, 24390000, 25040400, 26016000, 26083750, 26709760, 26829000, 27316800, 27720000, 28455000, 28617600, 29810000, 30048480, 30352000, 31300500, 32520000, 33387200, 33536250, 34146000, 34341120, 35772000, 36422400, 36960000, 37560600, 37940000, 39024000, 39125625, 40064640, 41734000, 42682500, 42926400, 43360000, 44715000, 45528000, 46950750, 47696000, 48077568, 48780000, 50080800, 52167500, 53658000, 54633600, 55440000, 56910000, 57235200, 59620000, 60096960, 60704000, 62601000, 65040000, 66774400, 67072500, 68292000, 71544000, 75121200, 75880000, 78048000, 78251250, 80129280, 83468000, 85365000, 85852800, 89430000, 91056000, 93901500, 95392000, 97560000, 100161600, 104335000, 107316000, 109267200, 110880000, 113820000, 117376875, 119240000, 120193920, 125202000, 130080000, 133548800, 134145000, 136584000, 143088000, 150242400, 151760000, 156502500, 166936000, 170730000, 171705600, 178860000, 182112000, 187803000, 195120000, 200323200, 208670000, 214632000, 227640000, 234753750, 238480000, 240387840, 250404000, 268290000, 273168000, 286176000, 300484800, 303520000, 313005000, 333872000, 341460000, 357720000, 375606000, 390240000, 400646400, 417340000, 429264000, 455280000, 469507500, 476960000, 500808000, 536580000, 546336000, 600969600, 626010000, 667744000, 682920000, 715440000, 751212000, 834680000, 858528000, 910560000, 939015000, 1001616000, 1073160000, 1201939200, 1252020000, 1365840000, 1430880000, 1502424000, 1669360000, 1878030000, 2003232000, 2146320000, 2504040000, 2731680000, 3004848000, 3338720000, 3756060000, 4292640000, 5008080000, 6009696000, 7512120000, 10016160000, 15024240000, 30048480000]

約数ペア:

[(1, 30048480000), (2, 15024240000), (3, 10016160000), (4, 7512120000), (5, 6009696000), (6, 5008080000), (7, 4292640000), (8, 3756060000), (9, 3338720000), (10, 3004848000), (11, 2731680000), (12, 2504040000), (14, 2146320000), (15, 2003232000), (16, 1878030000), (18, 1669360000), (20, 1502424000), (21, 1430880000), (22, 1365840000), (24, 1252020000), (25, 1201939200), (28, 1073160000), (30, 1001616000), (32, 939015000), (33, 910560000), (35, 858528000), (36, 834680000), (40, 751212000), (42, 715440000), (44, 682920000), (45, 667744000), (48, 626010000), (50, 600969600), (55, 546336000), (56, 536580000), (60, 500808000), (63, 476960000), (64, 469507500), (66, 455280000), (70, 429264000), (72, 417340000), (75, 400646400), (77, 390240000), (80, 375606000), (84, 357720000), (88, 341460000), (90, 333872000), (96, 313005000), (99, 303520000), (100, 300484800), (105, 286176000), (110, 273168000), (112, 268290000), (120, 250404000), (125, 240387840), (126, 238480000), (128, 234753750), (132, 227640000), (140, 214632000), (144, 208670000), (150, 200323200), (154, 195120000), (160, 187803000), (165, 182112000), (168, 178860000), (175, 171705600), (176, 170730000), (180, 166936000), (192, 156502500), (198, 151760000), (200, 150242400), (210, 143088000), (220, 136584000), (224, 134145000), (225, 133548800), (231, 130080000), (240, 125202000), (250, 120193920), (252, 119240000), (256, 117376875), (264, 113820000), (271, 110880000), (275, 109267200), (280, 107316000), (288, 104335000), (300, 100161600), (308, 97560000), (315, 95392000), (320, 93901500), (330, 91056000), (336, 89430000), (350, 85852800), (352, 85365000), (360, 83468000), (375, 80129280), (384, 78251250), (385, 78048000), (396, 75880000), (400, 75121200), (420, 71544000), (440, 68292000), (448, 67072500), (450, 66774400), (462, 65040000), (480, 62601000), (495, 60704000), (500, 60096960), (504, 59620000), (525, 57235200), (528, 56910000), (542, 55440000), (550, 54633600), (560, 53658000), (576, 52167500), (600, 50080800), (616, 48780000), (625, 48077568), (630, 47696000), (640, 46950750), (660, 45528000), (672, 44715000), (693, 43360000), (700, 42926400), (704, 42682500), (720, 41734000), (750, 40064640), (768, 39125625), (770, 39024000), (792, 37940000), (800, 37560600), (813, 36960000), (825, 36422400), (840, 35772000), (875, 34341120), (880, 34146000), (896, 33536250), (900, 33387200), (924, 32520000), (960, 31300500), (990, 30352000), (1000, 30048480), (1008, 29810000), (1050, 28617600), (1056, 28455000), (1084, 27720000), (1100, 27316800), (1120, 26829000), (1125, 26709760), (1152, 26083750), (1155, 26016000), (1200, 25040400), (1232, 24390000), (1250, 24038784), (1260, 23848000), (1280, 23475375), (1320, 22764000), (1344, 22357500), (1355, 22176000), (1375, 21853440), (1386, 21680000), (1400, 21463200), (1408, 21341250), (1440, 20867000), (1500, 20032320), (1540, 19512000), (1575, 19078400), (1584, 18970000), (1600, 18780300), (1626, 18480000), (1650, 18211200), (1680, 17886000), (1750, 17170560), (1760, 17073000), (1792, 16768125), (1800, 16693600), (1848, 16260000), (1875, 16025856), (1897, 15840000), (1920, 15650250), (1925, 15609600), (1980, 15176000), (2000, 15024240), (2016, 14905000), (2100, 14308800), (2112, 14227500), (2168, 13860000), (2200, 13658400), (2240, 13414500), (2250, 13354880), (2304, 13041875), (2310, 13008000), (2400, 12520200), (2439, 12320000), (2464, 12195000), (2475, 12140800), (2500, 12019392), (2520, 11924000), (2625, 11447040), (2640, 11382000), (2688, 11178750), (2710, 11088000), (2750, 10926720), (2772, 10840000), (2800, 10731600), (2816, 10670625), (2880, 10433500), (2981, 10080000), (3000, 10016160), (3080, 9756000), (3150, 9539200), (3168, 9485000), (3200, 9390150), (3252, 9240000), (3300, 9105600), (3360, 8943000), (3465, 8672000), (3500, 8585280), (3520, 8536500), (3600, 8346800), (3696, 8130000), (3750, 8012928), (3794, 7920000), (3840, 7825125), (3850, 7804800), (3960, 7588000), (4000, 7512120), (4032, 7452500), (4065, 7392000), (4125, 7284480), (4200, 7154400), (4224, 7113750), (4336, 6930000), (4375, 6868224), (4400, 6829200), (4480, 6707250), (4500, 6677440), (4620, 6504000), (4800, 6260100), (4878, 6160000), (4928, 6097500), (4950, 6070400), (5000, 6009696), (5040, 5962000), (5250, 5723520), (5280, 5691000), (5376, 5589375), (5420, 5544000), (5500, 5463360), (5544, 5420000), (5600, 5365800), (5625, 5341952), (5691, 5280000), (5760, 5216750), (5775, 5203200), (5962, 5040000), (6000, 5008080), (6160, 4878000), (6300, 4769600), (6336, 4742500), (6400, 4695075), (6504, 4620000), (6600, 4552800), (6720, 4471500), (6775, 4435200), (6875, 4370688), (6930, 4336000), (7000, 4292640), (7040, 4268250), (7200, 4173400), (7392, 4065000), (7500, 4006464), (7588, 3960000), (7700, 3902400), (7875, 3815680), (7920, 3794000), (8000, 3756060), (8064, 3726250), (8130, 3696000), (8250, 3642240), (8400, 3577200), (8448, 3556875), (8672, 3465000), (8750, 3434112), (8800, 3414600), (8943, 3360000), (8960, 3353625), (9000, 3338720), (9240, 3252000), (9485, 3168000), (9600, 3130050), (9625, 3121920), (9756, 3080000), (9856, 3048750), (9900, 3035200), (10000, 3004848), (10080, 2981000), (10500, 2861760), (10560, 2845500), (10840, 2772000), (11000, 2731680), (11088, 2710000), (11200, 2682900), (11250, 2670976), (11382, 2640000), (11520, 2608375), (11550, 2601600), (11924, 2520000), (12000, 2504040), (12195, 2464000), (12320, 2439000), (12375, 2428160), (12600, 2384800), (12672, 2371250), (13008, 2310000), (13125, 2289408), (13200, 2276400), (13440, 2235750), (13550, 2217600), (13750, 2185344), (13860, 2168000), (14000, 2146320), (14080, 2134125), (14400, 2086700), (14784, 2032500), (14905, 2016000), (15000, 2003232), (15176, 1980000), (15400, 1951200), (15750, 1907840), (15840, 1897000), (16000, 1878030), (16128, 1863125), (16260, 1848000), (16500, 1821120), (16800, 1788600), (17073, 1760000), (17325, 1734400), (17344, 1732500), (17500, 1717056), (17600, 1707300), (17886, 1680000), (18000, 1669360), (18480, 1626000), (18970, 1584000), (19200, 1565025), (19250, 1560960), (19512, 1540000), (19712, 1524375), (19800, 1517600), (20000, 1502424), (20160, 1490500), (20325, 1478400), (20625, 1456896), (20867, 1440000), (21000, 1430880), (21120, 1422750), (21680, 1386000), (22000, 1365840), (22176, 1355000), (22400, 1341450), (22500, 1335488), (22764, 1320000), (23100, 1300800), (23848, 1260000), (24000, 1252020), (24390, 1232000), (24640, 1219500), (24750, 1214080), (25200, 1192400), (25344, 1185625), (26016, 1155000), (26250, 1144704), (26400, 1138200), (26829, 1120000), (26880, 1117875), (27100, 1108800), (27500, 1092672), (27720, 1084000), (28000, 1073160), (28455, 1056000), (28800, 1043350), (28875, 1040640), (29568, 1016250), (29810, 1008000), (30000, 1001616), (30352, 990000), (30800, 975600), (31500, 953920), (31680, 948500), (32000, 939015), (32520, 924000), (33000, 910560), (33600, 894300), (33875, 887040), (34146, 880000), (34650, 867200), (34688, 866250), (35000, 858528), (35200, 853650), (35772, 840000), (36000, 834680), (36960, 813000), (37940, 792000), (38500, 780480), (39024, 770000), (39375, 763136), (39600, 758800), (40000, 751212), (40320, 745250), (40650, 739200), (41250, 728448), (41734, 720000), (42000, 715440), (42240, 711375), (43360, 693000), (44000, 682920), (44352, 677500), (44715, 672000), (44800, 670725), (45000, 667744), (45528, 660000), (46200, 650400), (47425, 633600), (47696, 630000), (48000, 626010), (48125, 624384), (48780, 616000), (49280, 609750), (49500, 607040), (50400, 596200), (52032, 577500), (52500, 572352), (52800, 569100), (53658, 560000), (54200, 554400), (55000, 546336), (55440, 542000), (56000, 536580), (56910, 528000), (57600, 521675), (57750, 520320), (59136, 508125), (59620, 504000), (60000, 500808), (60704, 495000), (60975, 492800), (61600, 487800), (61875, 485632), (62601, 480000), (63000, 476960), (63360, 474250), (65040, 462000), (66000, 455280), (67200, 447150), (67750, 443520), (68292, 440000), (69300, 433600), (69376, 433125), (70000, 429264), (70400, 426825), (71544, 420000), (72000, 417340), (73920, 406500), (74525, 403200), (75880, 396000), (77000, 390240), (78048, 385000), (78750, 381568), (79200, 379400), (80000, 375606), (80640, 372625), (81300, 369600), (82500, 364224), (83468, 360000), (84000, 357720), (85365, 352000), (86625, 346880), (86720, 346500), (88000, 341460), (88704, 338750), (89430, 336000), (90000, 333872), (91056, 330000), (92400, 325200), (94850, 316800), (95392, 315000), (96000, 313005), (96250, 312192), (97560, 308000), (98560, 304875), (99000, 303520), (100800, 298100), (101625, 295680), (104064, 288750), (104335, 288000), (105000, 286176), (105600, 284550), (107316, 280000), (108400, 277200), (110000, 273168), (110880, 271000), (112000, 268290), (113820, 264000), (115500, 260160), (119240, 252000), (120000, 250404), (121408, 247500), (121950, 246400), (123200, 243900), (123750, 242816), (125202, 240000), (126000, 238480), (126720, 237125), (130080, 231000), (132000, 227640), (134145, 224000), (134400, 223575), (135500, 221760), (136584, 220000), (138600, 216800), (140000, 214632), (142275, 211200), (143088, 210000), (144000, 208670), (144375, 208128), (147840, 203250), (149050, 201600), (151760, 198000), (154000, 195120), (156096, 192500), (157500, 190784), (158400, 189700), (160000, 187803), (162600, 184800), (165000, 182112), (166936, 180000), (168000, 178860), (169375, 177408), (170730, 176000), (173250, 173440)]