131822611048125

Names of 131822611048125

• Cardinal: 131822611048125 can be written as One hundred thirty-one trillion, eight hundred twenty-two billion, six hundred eleven million, forty-eight thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 1.31822611048125 × 10¹⁴

Factors of 131822611048125

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 8397

Divisors of 131822611048125

• Number of divisors d(n): 480
• Complete list of divisors:
  1 3 5 9 15 17 25 31 45 51 61 75 85 89 93 125 153 155 183 225 255 267 279 305 375 425 445 465 527 549 625 765 775 801 915 1037 1125 1275 1335 1395 1513 1525 1581 1875 1891 2125 2225 2325 2635 2745 2759 3111 3825 3875 4005 4539 4575 4743 5185 5429 5625 5673 6375 6675 6975 7565 7625 7905 8191 8277 9333 9455 10625 11125 11625 13175 13617 13725 13795 15555 16287 17019 19125 19375 20025 22695 22875 23715 24573 24831 25925 27145 28365 31875 32147 33375 34875 37825 38125 39525 40955 41385 46665 46903 47275 48861 55625 58125 65875 68085 68625 68975 73719 77775 81435 85095 92293 95625 96441 100125 113475 114375 118575 122865 124155 129625 135725 139247 140709 141825 160735 166875 168299 174375 189125 197625 204775 206925 233325 234515 236375 244305 253921 276879 289323 329375 340425 343125 344875 368595 388875 407175 417741 422127 425475 461465 482205 499651 500625 504897 567375 592875 614325 620775 648125 678625 696235 703545 709125 728999 761763 803675 830637 841495 945625 988125 1023875 1034625 1166625 1172575 1181875 1221525 1253223 1269605 1384395 1446615 1498953 1514691 1702125 1724375 1842975 1944375 2035875 2088705 2110635 2127375 2186997 2285289 2307325 2411025 2498255 2524485 2836875 2861083 2964375 3071625 3103875 3393125 3481175 3517725 3545625 3644995 3808815 4018375 4153185 4207475 4316657 4496859 5119375 5173125 5833125 5862875 6107625 6266115 6348025 6560991 6921975 7233075 7494765 7573455 8494067 8510625 8583249 9214875 10179375 10443525 10553175 10636875 10934985 11426445 11536625 12055125 12392983 12491275 12622425 12949971 14305415 15358125 15489181 15519375 17405875 17588625 18224975 19044075 20091875 20765925 21037375 21583285 22484295 22598969 25482201 25749747 29314375 30538125 31330575 31740125 32804955 34609875 36165375 37178949 37473825 37867275 38849913 42470335 42916245 44468939 46074375 46467543 52217625 52765875 54674925 57132225 57683125 60275625 61964915 62456375 63112125 64749855 67796907 71527075 76446603 77445905 87029375 87943125 91124875 95220375 103829625 105186875 107916425 111536847 112421475 112994845 127411005 128748735 133406817 139402629 156652875 158700625 164024775 173049375 180826875 185894745 187369125 189336375 194249565 203390721 212351675 214581225 222344695 232337715 261088125 263316077 263829375 273374625 285661125 309824575 312281875 315560625 323749275 338984535 357635375 382233015 384182473 387229525 400220451 455624375 476101875 519148125 539582125 557684235 562107375 564974225 637055025 643743675 667034085 697013145 755971963 783264375 789948231 820123875 929473725 936845625 946681875 971247825 1016953605 1061758375 1072906125 1111723475 1152547419 1161688575 1316580385 1366873125 1378537109 1428305625 1549122875 1618746375 1694922675 1788176875 1911165075 1920912365 1936147625 2001102255 2267915889 2369844693 2697910625 2788421175 2810536875 2824871125 3185275125 3218718375 3335170425 3457642257 3485065725 3779859815 3949741155 4100619375 4135611327 4647368625 4856239125 5084768025 5308791875 5364530625 5558617375 5762737095 5808442875 6582901925 6803747667 6892685545 7745614375 8093731875 8474613375 9555825375 9604561825 9680738125 10005511275 11339579445 11849223465 12406833981 13942105875 14124355625 15926375625 16093591875 16675852125 17288211285 17425328625 18899299075 19748705775 20678056635 23236843125 23435130853 24281195625 25423840125 27793086875 28813685475 29042214375 32914509625 34018738335 34463427725 42373066875 47779126875 48022809125 50027556375 56697897225 59246117325 62034169905 69710529375 70305392559 83379260625 86441056425 87126643125 94496495375 98743528875 103390283175 117175654265 127119200625 144068427375 164572548125 170093691675 172317138625 210916177677 240114045625 250137781875 283489486125 296230586625 310170849525 351526962795 432205282125 472482476875 493717644375 516951415875 585878271325 720342136875 850468458375 861585693125 1054580888385 1417447430625 1481152933125 1550854247625 1757634813975 2161026410625 2584757079375 2929391356625 4252342291875 5272904441925 7754271238125 8788174069875 14646956783125 26364522209625 43940870349375 131822611048125
• Sum of all divisors σ(n): 267325884334080
• Sum of proper divisors (its aliquot sum) s(n): 135503273285955
• 131822611048125 is an abundant number, because the sum of its proper divisors (135503273285955) is greater than itself. Its abundance is 3680662237830

Bases of 131822611048125

• Binary: 11101111110010001010111111001111010011010111101₂
• Hexadecimal: 0x77E457E7A6BD
• Base-36: 1AQ6GZ24L9

Squares and roots of 131822611048125

• 131822611048125 squared (131822611048125²) is 17377200783545247311066015625
• 131822611048125 cubed (131822611048125³) is 2290707979994458124893566399899348876953125
• The square root of 131822611048125 is 11481402.8345026289
• The cube root of 131822611048125 is 50893.6153588743

Scales and comparisons

• 131,822,611,048,125 seconds is equal to 4,191,551 years, 14 weeks, 2 days, 21 hours, 48 minutes, 45 seconds.
• To count from 1 to 131,822,611,048,125 would take you about ten million, four hundred seventy-eight thousand, eight hundred seventy-eight years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 131822611048125 cubic inches would be around 4241.1 feet tall.

Recreational maths with 131822611048125

• 131822611048125 backwards is 521840116228131
• 131822611048125 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 131822611048125's digits is 45
• More coming soon!