513248145187768676414

Names of 513248145187768676414

• Cardinal: 513248145187768676414 can be written as Five hundred thirteen quintillion, two hundred forty-eight quadrillion, one hundred forty-five trillion, one hundred eighty-seven billion, seven hundred sixty-eight million, six hundred seventy-six thousand, four hundred fourteen.

Scientific notation

• Scientific notation: 5.13248145187768676414 × 10²⁰

Factors of 513248145187768676414

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 58070

Divisors of 513248145187768676414

• Number of divisors d(n): 128
• Complete list of divisors:
  1 2 73 146 313 626 2341 4682 11839 13513 22849 23678 27026 29989 45698 59978 170893 341786 732733 864247 986449 1465466 1728494 1972898 2189197 3705607 4229569 4378394 7411214 8459138 9386557 18773114 27715099 31633933 53489509 55430198 63267866 70204249 106979018 140408498 159980407 270509311 308758537 319960814 355039771 405241357 541018622 617517074 685218661 710079542 810482714 1370437322 2023202227 2309277109 4046404454 4618554218 5124910177 8674825987 9901421029 10249820354 11678569711 17349651974 19802842058 21973929937 23357139422 25917903283 29582619061 43947859874 50073867391 51835806566 59165238122 100147734782 111127448323 126840544741 222254896646 253681089482 374514132787 633262297051 722803735117 749028265574 831148103911 948670016737 1266524594102 1445607470234 1604096885401 1662296207822 1897340033474 3208193770802 3655392319543 4797652425523 7310784639086 8112303727579 9259359766093 9595304851046 16224607455158 18518719532186 27339531693451 54679063386902 60673811585503 69252911221801 117222923562331 121347623171006 138505822443602 234445847124662 260149356524143 296933715238681 350228627063179 520298713048286 593867430477362 700457254126358 1501665209188699 3003330418377398 8557273420050163 11231304328149343 17114546840100326 18990903026262439 21676161212423713 22462608656298686 37981806052524878 43352322424847426 109621560270775027 219243120541550054 819885215954902039 1639770431909804078 3515398254710744359 7030796509421488718 256624072593884338207 513248145187768676414
• Sum of all divisors σ(n): 783396444239147366400
• Sum of proper divisors (its aliquot sum) s(n): 270148299051378689986
• 513248145187768676414 is a deficient number, because the sum of its proper divisors (270148299051378689986) is less than itself. Its deficiency is 243099846136389986428

Bases of 513248145187768676414

• Binary: 110111101001010111111101101001011111000111001000100001011000000111110₂
• Hexadecimal: 0x1BD2BFB4BE3910B03E
• Base-36: 30BF2R32DWVEPQ

Squares and roots of 513248145187768676414

• 513248145187768676414 squared (513248145187768676414²) is 263423658538684874752438579902265439899396
• 513248145187768676414 cubed (513248145187768676414³) is 135201704143556134406188783709778776393052146750425052238045944
• The square root of 513248145187768676414 is 22654980582.3745670323
• The cube root of 513248145187768676414 is 8006495.4808500039

Scales and comparisons

• 513,248,145,187,768,676,414 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 513,248,145,187,768,676,414 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 513248145187768676414 cubic inches would be around 667208 feet tall.

Recreational maths with 513248145187768676414

• 513248145187768676414 backwards is 414676867781541842315
• The number of decimal digits it has is: 21
• The sum of 513248145187768676414's digits is 98
• More coming soon!