137639358699015999

Names of 137639358699015999

• Cardinal: 137639358699015999 can be written as One hundred thirty-seven quadrillion, six hundred thirty-nine trillion, three hundred fifty-eight billion, six hundred ninety-nine million, fifteen thousand, nine hundred ninety-nine.

Scientific notation

• Scientific notation: 1.37639358699015999 × 10¹⁷

Factors of 137639358699015999

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 17773522

Divisors of 137639358699015999

• Number of divisors d(n): 96
• Complete list of divisors:
  1 3 7 19 21 49 57 133 147 283 399 849 931 1981 2793 5377 5943 9803 13867 16131 29409 37639 41601 68621 112917 186257 205863 263473 480347 558771 790419 1303799 1441041 2774249 3911397 8322747 9126593 17763407 19419743 27379779 52710731 53290221 58259229 124343849 135938201 158132193 337504733 368975117 373031547 407814603 870406943 1012514199 1106925351 2362533131 2582825819 2611220829 5027044181 7087599393 7748477457 15081132543 16537731917 35189309267 49613195751 95513839439 105567927801 174134678821 246325164869 286541518317 522404036463 668596876073 738975494607 1218942751747 2005790628219 3308558897599 3656828255241 4680178132511 8532599262229 9925676692797 14040534397533 23159912283193 25597797786687 49280114106343 69479736849579 147840342319029 162119385982351 344960798744401 486358157947053 936322168020517 1034882396233203 2414725591210807 2808966504061551 6554255176143619 7244176773632421 19662765528430857 45879786233005333 137639358699015999
• Sum of all divisors σ(n): 225534391479521280
• Sum of proper divisors (its aliquot sum) s(n): 87895032780505281
• 137639358699015999 is a deficient number, because the sum of its proper divisors (87895032780505281) is less than itself. Its deficiency is 49744325918510718

Bases of 137639358699015999

• Binary: 111101000111111100100010001111010010111100000111100111111₂
• Hexadecimal: 0x1E8FE447A5E0F3F
• Base-36: 11N92WH6GPJ3

Squares and roots of 137639358699015999

• 137639358699015999 squared (137639358699015999²) is 18944593063076391156800650857968001
• 137639358699015999 cubed (137639358699015999³) is 2607521640015661629413732495858637445516067329047999
• The square root of 137639358699015999 is 370997787.9974704095
• The cube root of 137639358699015999 is 516314.3712319905

Scales and comparisons

• 137,639,358,699,015,999 seconds is equal to 4,376,505,860 years, 7 weeks, 1 day, 11 hours, 6 minutes, 39 seconds.
• To count from 1 to 137,639,358,699,015,999 would take you about thirteen billion, one hundred twenty-nine million, five hundred seventeen thousand, five hundred eighty 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 137639358699015999 cubic inches would be around 43026.2 feet tall.

Recreational maths with 137639358699015999

• 137639358699015999 backwards is 999510996853936731
• The number of decimal digits it has is: 18
• The sum of 137639358699015999's digits is 102
• More coming soon!