513053943861486735

Names of 513053943861486735

• Cardinal: 513053943861486735 can be written as Five hundred thirteen quadrillion, fifty-three trillion, nine hundred forty-three billion, eight hundred sixty-one million, four hundred eighty-six thousand, seven hundred thirty-five.

Scientific notation

• Scientific notation: 5.13053943861486735 × 10¹⁷

Factors of 513053943861486735

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 360538

Divisors of 513053943861486735

• Number of divisors d(n): 144
• Complete list of divisors:
  1 3 5 9 15 19 27 45 57 81 95 135 171 243 285 361 405 513 729 855 1083 1215 1539 1805 2187 2565 3249 3645 4617 5415 7695 9747 10935 13851 16245 23085 29241 41553 48735 69255 87723 146205 207765 263169 360511 438615 789507 1081533 1315845 1802555 3244599 3947535 5407665 6849709 9733797 16222995 20549127 29201391 34248545 48668985 61647381 87604173 102745635 130144471 146006955 184942143 262812519 308236905 390433413 438020865 554826429 650722355 788437557 924710715 1171300239 1314062595 1664479287 1952167065 2774132145 3513900717 3942187785 4993437861 5856501195 8322396435 10541702151 14980313583 17569503585 24967189305 31625106453 52708510755 74901567915 94875319359 129968181121 158125532265 284625958077 389904543363 474376596795 649840905605 1169713630089 1423129790385 1949522716815 2469395441299 3509140890267 5848568150445 7408186323897 10527422670801 12346977206495 17545704451335 22224558971691 31582268012403 37040931619485 46918513384681 52637113354005 66673676915073 94746804037209 111122794858455 140755540154043 157911340062015 200021030745219 234592566923405 284240412111627 333368384575365 422266620462129 473734020186045 600063092235657 703777700770215 1000105153726095 1266799861386387 1421202060558135 1800189276706971 2111333102310645 3000315461178285 3800399584159161 5400567830120913 6333999306931935 9000946383534855 11401198752477483 19001997920795805 27002839150604565 34203596257432449 57005993762387415 102610788772297347 171017981287162245 513053943861486735
• Sum of all divisors σ(n): 974514522647564640
• Sum of proper divisors (its aliquot sum) s(n): 461460578786077905
• 513053943861486735 is a deficient number, because the sum of its proper divisors (461460578786077905) is less than itself. Its deficiency is 51593365075408830

Bases of 513053943861486735

• Binary: 11100011110101110111101011111111010011110100010010010001111₂
• Hexadecimal: 0x71EBBD7FA7A248F
• Base-36: 3WBQG00QULXR

Squares and roots of 513053943861486735

• 513053943861486735 squared (513053943861486735²) is 263224349311825582210051604580960225
• 513053943861486735 cubed (513053943861486735³) is 135048290534805736742281747671349947174379642400115375
• The square root of 513053943861486735 is 716277839.8509106013
• The cube root of 513053943861486735 is 800548.5528707379

Scales and comparisons

• 513,053,943,861,486,735 seconds is equal to 16,313,528,434 years, 38 weeks, 6 days, 16 hours, 32 minutes, 15 seconds.
• To count from 1 to 513,053,943,861,486,735 would take you about forty-eight billion, nine hundred forty million, five hundred eighty-five thousand, three hundred four 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 513053943861486735 cubic inches would be around 66712.4 feet tall.

Recreational maths with 513053943861486735

• 513053943861486735 backwards is 537684168349350315
• 513053943861486735 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 513053943861486735's digits is 81
• More coming soon!