138408898996518624

Names of 138408898996518624

• Cardinal: 138408898996518624 can be written as One hundred thirty-eight quadrillion, four hundred eight trillion, eight hundred ninety-eight billion, nine hundred ninety-six million, five hundred eighteen thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 1.38408898996518624 × 10¹⁷

Factors of 138408898996518624

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 480586454849028

Divisors of 138408898996518624

• Number of divisors d(n): 36
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 480586454849023 961172909698046 1441759364547069 1922345819396092 2883518729094138 3844691638792184 4325278093641207 5767037458188276 7689383277584368 8650556187282414 11534074916376552 15378766555168736 17301112374564828 23068149832753104 34602224749129656 46136299665506208 69204449498259312 138408898996518624
• Sum of all divisors σ(n): 393600306521350656
• Sum of proper divisors (its aliquot sum) s(n): 255191407524832032
• 138408898996518624 is an abundant number, because the sum of its proper divisors (255191407524832032) is greater than itself. Its abundance is 116782508528313408

Bases of 138408898996518624

• Binary: 111101011101110100010100100001010011100001011111011100000₂
• Hexadecimal: 0x1EBBA290A70BEE0
• Base-36: 11UTUYEQNLK0

Squares and roots of 138408898996518624

• 138408898996518624 squared (138408898996518624²) is 19157023321428494161682071978853376
• 138408898996518624 cubed (138408898996518624³) is 2651502505969548182923682125341226969575571349274624
• The square root of 138408898996518624 is 372033464.8879299729
• The cube root of 138408898996518624 is 517274.8196835087

Scales and comparisons

• 138,408,898,996,518,624 seconds is equal to 4,400,974,861 years, 13 weeks, 1 day, 17 hours, 50 minutes, 24 seconds.
• To count from 1 to 138,408,898,996,518,624 would take you about thirteen billion, two hundred two million, nine hundred twenty-four thousand, five hundred eighty-three 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 138408898996518624 cubic inches would be around 43106.2 feet tall.

Recreational maths with 138408898996518624

• 138408898996518624 backwards is 426815699898804831
• The number of decimal digits it has is: 18
• The sum of 138408898996518624's digits is 99
• More coming soon!