137138008824

Names of 137138008824

• Cardinal: 137138008824 can be written as One hundred thirty-seven billion, one hundred thirty-eight million, eight thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.37138008824 × 10¹¹

Factors of 137138008824

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 4713

Divisors of 137138008824

• Number of divisors d(n): 96
• Complete list of divisors:
  1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 4679 6264 9358 14037 18716 28074 37432 42111 56148 84222 112296 126333 135691 168444 252666 271382 336888 407073 505332 542764 814146 1010664 1085528 1221219 1628292 2442438 3256584 3663657 4884876 7327314 9769752 14654628 21893041 29309256 43786082 65679123 87572164 131358246 175144328 197037369 262716492 394074738 525432984 591112107 634898189 788149476 1182224214 1269796378 1576298952 1904694567 2364448428 2539592756 3809389134 4728896856 5079185512 5714083701 7618778268 11428167402 15237556536 17142251103 22856334804 34284502206 45712669608 68569004412 137138008824
• Sum of all divisors σ(n): 394158978000
• Sum of proper divisors (its aliquot sum) s(n): 257020969176
• 137138008824 is an abundant number, because the sum of its proper divisors (257020969176) is greater than itself. Its abundance is 119882960352

Bases of 137138008824

• Binary: 1111111101110000011111111001011111000₂
• Hexadecimal: 0x1FEE0FF2F8
• Base-36: 1R00FGU0

Squares and roots of 137138008824

• 137138008824 squared (137138008824²) is 18806833464211501862976
• 137138008824 cubed (137138008824³) is 2579131693566535430687095126900224
• The square root of 137138008824 is 370321.4938725539
• The cube root of 137138008824 is 5156.8671870433

Scales and comparisons

• 137,138,008,824 seconds is equal to 4,360 years, 29 weeks, 2 days, 11 hours, 20 minutes, 24 seconds.
• To count from 1 to 137,138,008,824 would take you about eight thousand, seven hundred twenty-one 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 137138008824 cubic inches would be around 429.7 feet tall.

Recreational maths with 137138008824

• 137138008824 backwards is 428800831731
• The number of decimal digits it has is: 12
• The sum of 137138008824's digits is 45
• More coming soon!