505958400000

素因数分解:

$2^{15}\times 3^4\times 5^5\times {\mathrm{61}}^1$

素因数の和:128

約数の個数: 960

約数和(自身を含む): 1920359784420

約数和(自身を除く): 1414401384420

約数列:

[1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60, 61, 64, 72, 75, 80, 81, 90, 96, 100, 108, 120, 122, 125, 128, 135, 144, 150, 160, 162, 180, 183, 192, 200, 216, 225, 240, 244, 250, 256, 270, 288, 300, 305, 320, 324, 360, 366, 375, 384, 400, 405, 432, 450, 480, 488, 500, 512, 540, 549, 576, 600, 610, 625, 640, 648, 675, 720, 732, 750, 768, 800, 810, 864, 900, 915, 960, 976, 1000, 1024, 1080, 1098, 1125, 1152, 1200, 1220, 1250, 1280, 1296, 1350, 1440, 1464, 1500, 1525, 1536, 1600, 1620, 1647, 1728, 1800, 1830, 1875, 1920, 1952, 2000, 2025, 2048, 2160, 2196, 2250, 2304, 2400, 2440, 2500, 2560, 2592, 2700, 2745, 2880, 2928, 3000, 3050, 3072, 3125, 3200, 3240, 3294, 3375, 3456, 3600, 3660, 3750, 3840, 3904, 4000, 4050, 4096, 4320, 4392, 4500, 4575, 4608, 4800, 4880, 4941, 5000, 5120, 5184, 5400, 5490, 5625, 5760, 5856, 6000, 6100, 6144, 6250, 6400, 6480, 6588, 6750, 6912, 7200, 7320, 7500, 7625, 7680, 7808, 8000, 8100, 8192, 8235, 8640, 8784, 9000, 9150, 9216, 9375, 9600, 9760, 9882, 10000, 10125, 10240, 10368, 10800, 10980, 11250, 11520, 11712, 12000, 12200, 12288, 12500, 12800, 12960, 13176, 13500, 13725, 13824, 14400, 14640, 15000, 15250, 15360, 15616, 16000, 16200, 16384, 16470, 16875, 17280, 17568, 18000, 18300, 18432, 18750, 19200, 19520, 19764, 20000, 20250, 20480, 20736, 21600, 21960, 22500, 22875, 23040, 23424, 24000, 24400, 24576, 24705, 25000, 25600, 25920, 26352, 27000, 27450, 27648, 28125, 28800, 29280, 30000, 30500, 30720, 31232, 32000, 32400, 32768, 32940, 33750, 34560, 35136, 36000, 36600, 36864, 37500, 38125, 38400, 39040, 39528, 40000, 40500, 40960, 41175, 41472, 43200, 43920, 45000, 45750, 46080, 46848, 48000, 48800, 49152, 49410, 50000, 50625, 51200, 51840, 52704, 54000, 54900, 55296, 56250, 57600, 58560, 60000, 61000, 61440, 62464, 64000, 64800, 65880, 67500, 68625, 69120, 70272, 72000, 73200, 73728, 75000, 76250, 76800, 78080, 79056, 80000, 81000, 81920, 82350, 82944, 84375, 86400, 87840, 90000, 91500, 92160, 93696, 96000, 97600, 98304, 98820, 100000, 101250, 102400, 103680, 105408, 108000, 109800, 110592, 112500, 114375, 115200, 117120, 120000, 122000, 122880, 123525, 124928, 128000, 129600, 131760, 135000, 137250, 138240, 140544, 144000, 146400, 147456, 150000, 152500, 153600, 156160, 158112, 160000, 162000, 163840, 164700, 165888, 168750, 172800, 175680, 180000, 183000, 184320, 187392, 190625, 192000, 195200, 197640, 200000, 202500, 204800, 205875, 207360, 210816, 216000, 219600, 221184, 225000, 228750, 230400, 234240, 240000, 244000, 245760, 247050, 249856, 253125, 256000, 259200, 263520, 270000, 274500, 276480, 281088, 288000, 292800, 294912, 300000, 305000, 307200, 312320, 316224, 320000, 324000, 329400, 331776, 337500, 343125, 345600, 351360, 360000, 366000, 368640, 374784, 381250, 384000, 390400, 395280, 400000, 405000, 409600, 411750, 414720, 421632, 432000, 439200, 442368, 450000, 457500, 460800, 468480, 480000, 488000, 491520, 494100, 499712, 506250, 512000, 518400, 527040, 540000, 549000, 552960, 562176, 571875, 576000, 585600, 600000, 610000, 614400, 617625, 624640, 632448, 640000, 648000, 658800, 663552, 675000, 686250, 691200, 702720, 720000, 732000, 737280, 749568, 762500, 768000, 780800, 790560, 800000, 810000, 819200, 823500, 829440, 843264, 864000, 878400, 884736, 900000, 915000, 921600, 936960, 960000, 976000, 988200, 999424, 1012500, 1024000, 1029375, 1036800, 1054080, 1080000, 1098000, 1105920, 1124352, 1143750, 1152000, 1171200, 1200000, 1220000, 1228800, 1235250, 1249280, 1264896, 1280000, 1296000, 1317600, 1327104, 1350000, 1372500, 1382400, 1405440, 1440000, 1464000, 1474560, 1499136, 1525000, 1536000, 1561600, 1581120, 1600000, 1620000, 1647000, 1658880, 1686528, 1715625, 1728000, 1756800, 1800000, 1830000, 1843200, 1873920, 1920000, 1952000, 1976400, 1998848, 2025000, 2048000, 2058750, 2073600, 2108160, 2160000, 2196000, 2211840, 2248704, 2287500, 2304000, 2342400, 2400000, 2440000, 2457600, 2470500, 2498560, 2529792, 2560000, 2592000, 2635200, 2654208, 2700000, 2745000, 2764800, 2810880, 2880000, 2928000, 2998272, 3050000, 3072000, 3088125, 3123200, 3162240, 3200000, 3240000, 3294000, 3317760, 3373056, 3431250, 3456000, 3513600, 3600000, 3660000, 3686400, 3747840, 3840000, 3904000, 3952800, 4050000, 4096000, 4117500, 4147200, 4216320, 4320000, 4392000, 4423680, 4497408, 4575000, 4608000, 4684800, 4800000, 4880000, 4941000, 4997120, 5059584, 5120000, 5146875, 5184000, 5270400, 5400000, 5490000, 5529600, 5621760, 5760000, 5856000, 5996544, 6100000, 6144000, 6176250, 6246400, 6324480, 6400000, 6480000, 6588000, 6635520, 6746112, 6862500, 6912000, 7027200, 7200000, 7320000, 7372800, 7495680, 7680000, 7808000, 7905600, 8100000, 8235000, 8294400, 8432640, 8640000, 8784000, 8994816, 9150000, 9216000, 9369600, 9600000, 9760000, 9882000, 9994240, 10119168, 10240000, 10293750, 10368000, 10540800, 10800000, 10980000, 11059200, 11243520, 11520000, 11712000, 12200000, 12288000, 12352500, 12492800, 12648960, 12800000, 12960000, 13176000, 13271040, 13492224, 13725000, 13824000, 14054400, 14400000, 14640000, 14991360, 15360000, 15440625, 15616000, 15811200, 16200000, 16470000, 16588800, 16865280, 17280000, 17568000, 17989632, 18300000, 18432000, 18739200, 19200000, 19520000, 19764000, 20238336, 20480000, 20587500, 20736000, 21081600, 21600000, 21960000, 22118400, 22487040, 23040000, 23424000, 24400000, 24705000, 24985600, 25297920, 25600000, 25920000, 26352000, 26984448, 27450000, 27648000, 28108800, 28800000, 29280000, 29982720, 30720000, 30881250, 31232000, 31622400, 32400000, 32940000, 33177600, 33730560, 34560000, 35136000, 36600000, 36864000, 37478400, 38400000, 39040000, 39528000, 40476672, 41175000, 41472000, 42163200, 43200000, 43920000, 44974080, 46080000, 46848000, 48800000, 49410000, 49971200, 50595840, 51200000, 51840000, 52704000, 53968896, 54900000, 55296000, 56217600, 57600000, 58560000, 61440000, 61762500, 62464000, 63244800, 64800000, 65880000, 66355200, 67461120, 69120000, 70272000, 73200000, 74956800, 76800000, 78080000, 79056000, 80953344, 82350000, 82944000, 84326400, 86400000, 87840000, 89948160, 92160000, 93696000, 97600000, 98820000, 101191680, 102400000, 103680000, 105408000, 109800000, 110592000, 112435200, 115200000, 117120000, 123525000, 124928000, 126489600, 129600000, 131760000, 134922240, 138240000, 140544000, 146400000, 149913600, 153600000, 156160000, 158112000, 161906688, 164700000, 165888000, 168652800, 172800000, 175680000, 184320000, 187392000, 195200000, 197640000, 202383360, 207360000, 210816000, 219600000, 224870400, 230400000, 234240000, 247050000, 249856000, 252979200, 259200000, 263520000, 269844480, 276480000, 281088000, 292800000, 307200000, 312320000, 316224000, 329400000, 331776000, 337305600, 345600000, 351360000, 374784000, 390400000, 395280000, 404766720, 414720000, 421632000, 439200000, 449740800, 460800000, 468480000, 494100000, 505958400, 518400000, 527040000, 552960000, 562176000, 585600000, 624640000, 632448000, 658800000, 674611200, 691200000, 702720000, 749568000, 780800000, 790560000, 809533440, 829440000, 843264000, 878400000, 921600000, 936960000, 988200000, 1011916800, 1036800000, 1054080000, 1124352000, 1171200000, 1249280000, 1264896000, 1317600000, 1349222400, 1382400000, 1405440000, 1561600000, 1581120000, 1658880000, 1686528000, 1756800000, 1873920000, 1976400000, 2023833600, 2073600000, 2108160000, 2248704000, 2342400000, 2529792000, 2635200000, 2764800000, 2810880000, 3123200000, 3162240000, 3373056000, 3513600000, 3747840000, 3952800000, 4047667200, 4147200000, 4216320000, 4684800000, 5059584000, 5270400000, 5621760000, 6246400000, 6324480000, 6746112000, 7027200000, 7905600000, 8294400000, 8432640000, 9369600000, 10119168000, 10540800000, 11243520000, 12648960000, 14054400000, 15811200000, 16865280000, 18739200000, 20238336000, 21081600000, 25297920000, 28108800000, 31622400000, 33730560000, 42163200000, 50595840000, 56217600000, 63244800000, 84326400000, 101191680000, 126489600000, 168652800000, 252979200000, 505958400000]

約数ペア:

[(1, 505958400000), (2, 252979200000), (3, 168652800000), (4, 126489600000), (5, 101191680000), (6, 84326400000), (8, 63244800000), (9, 56217600000), (10, 50595840000), (12, 42163200000), (15, 33730560000), (16, 31622400000), (18, 28108800000), (20, 25297920000), (24, 21081600000), (25, 20238336000), (27, 18739200000), (30, 16865280000), (32, 15811200000), (36, 14054400000), (40, 12648960000), (45, 11243520000), (48, 10540800000), (50, 10119168000), (54, 9369600000), (60, 8432640000), (61, 8294400000), (64, 7905600000), (72, 7027200000), (75, 6746112000), (80, 6324480000), (81, 6246400000), (90, 5621760000), (96, 5270400000), (100, 5059584000), (108, 4684800000), (120, 4216320000), (122, 4147200000), (125, 4047667200), (128, 3952800000), (135, 3747840000), (144, 3513600000), (150, 3373056000), (160, 3162240000), (162, 3123200000), (180, 2810880000), (183, 2764800000), (192, 2635200000), (200, 2529792000), (216, 2342400000), (225, 2248704000), (240, 2108160000), (244, 2073600000), (250, 2023833600), (256, 1976400000), (270, 1873920000), (288, 1756800000), (300, 1686528000), (305, 1658880000), (320, 1581120000), (324, 1561600000), (360, 1405440000), (366, 1382400000), (375, 1349222400), (384, 1317600000), (400, 1264896000), (405, 1249280000), (432, 1171200000), (450, 1124352000), (480, 1054080000), (488, 1036800000), (500, 1011916800), (512, 988200000), (540, 936960000), (549, 921600000), (576, 878400000), (600, 843264000), (610, 829440000), (625, 809533440), (640, 790560000), (648, 780800000), (675, 749568000), (720, 702720000), (732, 691200000), (750, 674611200), (768, 658800000), (800, 632448000), (810, 624640000), (864, 585600000), (900, 562176000), (915, 552960000), (960, 527040000), (976, 518400000), (1000, 505958400), (1024, 494100000), (1080, 468480000), (1098, 460800000), (1125, 449740800), (1152, 439200000), (1200, 421632000), (1220, 414720000), (1250, 404766720), (1280, 395280000), (1296, 390400000), (1350, 374784000), (1440, 351360000), (1464, 345600000), (1500, 337305600), (1525, 331776000), (1536, 329400000), (1600, 316224000), (1620, 312320000), (1647, 307200000), (1728, 292800000), (1800, 281088000), (1830, 276480000), (1875, 269844480), (1920, 263520000), (1952, 259200000), (2000, 252979200), (2025, 249856000), (2048, 247050000), (2160, 234240000), (2196, 230400000), (2250, 224870400), (2304, 219600000), (2400, 210816000), (2440, 207360000), (2500, 202383360), (2560, 197640000), (2592, 195200000), (2700, 187392000), (2745, 184320000), (2880, 175680000), (2928, 172800000), (3000, 168652800), (3050, 165888000), (3072, 164700000), (3125, 161906688), (3200, 158112000), (3240, 156160000), (3294, 153600000), (3375, 149913600), (3456, 146400000), (3600, 140544000), (3660, 138240000), (3750, 134922240), (3840, 131760000), (3904, 129600000), (4000, 126489600), (4050, 124928000), (4096, 123525000), (4320, 117120000), (4392, 115200000), (4500, 112435200), (4575, 110592000), (4608, 109800000), (4800, 105408000), (4880, 103680000), (4941, 102400000), (5000, 101191680), (5120, 98820000), (5184, 97600000), (5400, 93696000), (5490, 92160000), (5625, 89948160), (5760, 87840000), (5856, 86400000), (6000, 84326400), (6100, 82944000), (6144, 82350000), (6250, 80953344), (6400, 79056000), (6480, 78080000), (6588, 76800000), (6750, 74956800), (6912, 73200000), (7200, 70272000), (7320, 69120000), (7500, 67461120), (7625, 66355200), (7680, 65880000), (7808, 64800000), (8000, 63244800), (8100, 62464000), (8192, 61762500), (8235, 61440000), (8640, 58560000), (8784, 57600000), (9000, 56217600), (9150, 55296000), (9216, 54900000), (9375, 53968896), (9600, 52704000), (9760, 51840000), (9882, 51200000), (10000, 50595840), (10125, 49971200), (10240, 49410000), (10368, 48800000), (10800, 46848000), (10980, 46080000), (11250, 44974080), (11520, 43920000), (11712, 43200000), (12000, 42163200), (12200, 41472000), (12288, 41175000), (12500, 40476672), (12800, 39528000), (12960, 39040000), (13176, 38400000), (13500, 37478400), (13725, 36864000), (13824, 36600000), (14400, 35136000), (14640, 34560000), (15000, 33730560), (15250, 33177600), (15360, 32940000), (15616, 32400000), (16000, 31622400), (16200, 31232000), (16384, 30881250), (16470, 30720000), (16875, 29982720), (17280, 29280000), (17568, 28800000), (18000, 28108800), (18300, 27648000), (18432, 27450000), (18750, 26984448), (19200, 26352000), (19520, 25920000), (19764, 25600000), (20000, 25297920), (20250, 24985600), (20480, 24705000), (20736, 24400000), (21600, 23424000), (21960, 23040000), (22500, 22487040), (22875, 22118400), (23040, 21960000), (23424, 21600000), (24000, 21081600), (24400, 20736000), (24576, 20587500), (24705, 20480000), (25000, 20238336), (25600, 19764000), (25920, 19520000), (26352, 19200000), (27000, 18739200), (27450, 18432000), (27648, 18300000), (28125, 17989632), (28800, 17568000), (29280, 17280000), (30000, 16865280), (30500, 16588800), (30720, 16470000), (31232, 16200000), (32000, 15811200), (32400, 15616000), (32768, 15440625), (32940, 15360000), (33750, 14991360), (34560, 14640000), (35136, 14400000), (36000, 14054400), (36600, 13824000), (36864, 13725000), (37500, 13492224), (38125, 13271040), (38400, 13176000), (39040, 12960000), (39528, 12800000), (40000, 12648960), (40500, 12492800), (40960, 12352500), (41175, 12288000), (41472, 12200000), (43200, 11712000), (43920, 11520000), (45000, 11243520), (45750, 11059200), (46080, 10980000), (46848, 10800000), (48000, 10540800), (48800, 10368000), (49152, 10293750), (49410, 10240000), (50000, 10119168), (50625, 9994240), (51200, 9882000), (51840, 9760000), (52704, 9600000), (54000, 9369600), (54900, 9216000), (55296, 9150000), (56250, 8994816), (57600, 8784000), (58560, 8640000), (60000, 8432640), (61000, 8294400), (61440, 8235000), (62464, 8100000), (64000, 7905600), (64800, 7808000), (65880, 7680000), (67500, 7495680), (68625, 7372800), (69120, 7320000), (70272, 7200000), (72000, 7027200), (73200, 6912000), (73728, 6862500), (75000, 6746112), (76250, 6635520), (76800, 6588000), (78080, 6480000), (79056, 6400000), (80000, 6324480), (81000, 6246400), (81920, 6176250), (82350, 6144000), (82944, 6100000), (84375, 5996544), (86400, 5856000), (87840, 5760000), (90000, 5621760), (91500, 5529600), (92160, 5490000), (93696, 5400000), (96000, 5270400), (97600, 5184000), (98304, 5146875), (98820, 5120000), (100000, 5059584), (101250, 4997120), (102400, 4941000), (103680, 4880000), (105408, 4800000), (108000, 4684800), (109800, 4608000), (110592, 4575000), (112500, 4497408), (114375, 4423680), (115200, 4392000), (117120, 4320000), (120000, 4216320), (122000, 4147200), (122880, 4117500), (123525, 4096000), (124928, 4050000), (128000, 3952800), (129600, 3904000), (131760, 3840000), (135000, 3747840), (137250, 3686400), (138240, 3660000), (140544, 3600000), (144000, 3513600), (146400, 3456000), (147456, 3431250), (150000, 3373056), (152500, 3317760), (153600, 3294000), (156160, 3240000), (158112, 3200000), (160000, 3162240), (162000, 3123200), (163840, 3088125), (164700, 3072000), (165888, 3050000), (168750, 2998272), (172800, 2928000), (175680, 2880000), (180000, 2810880), (183000, 2764800), (184320, 2745000), (187392, 2700000), (190625, 2654208), (192000, 2635200), (195200, 2592000), (197640, 2560000), (200000, 2529792), (202500, 2498560), (204800, 2470500), (205875, 2457600), (207360, 2440000), (210816, 2400000), (216000, 2342400), (219600, 2304000), (221184, 2287500), (225000, 2248704), (228750, 2211840), (230400, 2196000), (234240, 2160000), (240000, 2108160), (244000, 2073600), (245760, 2058750), (247050, 2048000), (249856, 2025000), (253125, 1998848), (256000, 1976400), (259200, 1952000), (263520, 1920000), (270000, 1873920), (274500, 1843200), (276480, 1830000), (281088, 1800000), (288000, 1756800), (292800, 1728000), (294912, 1715625), (300000, 1686528), (305000, 1658880), (307200, 1647000), (312320, 1620000), (316224, 1600000), (320000, 1581120), (324000, 1561600), (329400, 1536000), (331776, 1525000), (337500, 1499136), (343125, 1474560), (345600, 1464000), (351360, 1440000), (360000, 1405440), (366000, 1382400), (368640, 1372500), (374784, 1350000), (381250, 1327104), (384000, 1317600), (390400, 1296000), (395280, 1280000), (400000, 1264896), (405000, 1249280), (409600, 1235250), (411750, 1228800), (414720, 1220000), (421632, 1200000), (432000, 1171200), (439200, 1152000), (442368, 1143750), (450000, 1124352), (457500, 1105920), (460800, 1098000), (468480, 1080000), (480000, 1054080), (488000, 1036800), (491520, 1029375), (494100, 1024000), (499712, 1012500), (506250, 999424), (512000, 988200), (518400, 976000), (527040, 960000), (540000, 936960), (549000, 921600), (552960, 915000), (562176, 900000), (571875, 884736), (576000, 878400), (585600, 864000), (600000, 843264), (610000, 829440), (614400, 823500), (617625, 819200), (624640, 810000), (632448, 800000), (640000, 790560), (648000, 780800), (658800, 768000), (663552, 762500), (675000, 749568), (686250, 737280), (691200, 732000), (702720, 720000)]