138948314836108935168

138,948,314,836,108,935,168 is an even composite number composed of five prime numbers multiplied together.

What does the number 138948314836108935168 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 2688 divisors.

138948314836108935168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.

Prime factorization of 138948314836108935168:

215 × 32 × 116 × 19 × 2413

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 11 × 11 × 11 × 19 × 241 × 241 × 241)

See below for interesting mathematical facts about the number 138948314836108935168 from the Numbermatics database.


Names of 138948314836108935168

  • Cardinal: 138948314836108935168 can be written as One hundred thirty-eight quintillion, nine hundred forty-eight quadrillion, three hundred fourteen trillion, eight hundred thirty-six billion, one hundred eight million, nine hundred thirty-five thousand, one hundred sixty-eight.

Scientific notation

  • Scientific notation: 1.38948314836108935168 × 1020

Factors of 138948314836108935168

  • Number of distinct prime factors ω(n): 5
  • Total number of prime factors Ω(n): 27
  • Sum of prime factors: 276

Divisors of 138948314836108935168

Bases of 138948314836108935168

  • Binary: 11110001000010010111001010000101001111010010110100110000000000000002
  • Hexadecimal: 0x7884B9429E9698000
  • Base-36: TBNWQU96RC3K0

Squares and roots of 138948314836108935168

  • 138948314836108935168 squared (1389483148361089351682) is 19306634195794450422935964971766827188224
  • 138948314836108935168 cubed (1389483148361089351683) is 2682624286662834135947333229714815155727594518267840149061632
  • The square root of 138948314836108935168 is 11787633979.5613324415
  • The cube root of 138948314836108935168 is 5179459.3388801161

Scales and comparisons

How big is 138948314836108935168?
  • 138,948,314,836,108,935,168 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,948,314,836,108,935,168 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 138948314836108935168 cubic inches would be around 431621.6 feet tall.

Recreational maths with 138948314836108935168

  • 138948314836108935168 backwards is 861539801638413849831
  • 138948314836108935168 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138948314836108935168's digits is 99
  • More coming soon!

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"Number 138948314836108935168 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.

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Numbermatics. (2024). Number 138948314836108935168 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138948314836108935168/

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The information we have on file for 138948314836108935168 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 138948314836108935168, math, Factors of 138948314836108935168, curriculum, school, college, exams, university, Prime factorization of 138948314836108935168, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, nine hundred forty-eight quadrillion, three hundred fourteen trillion, eight hundred thirty-six billion, one hundred eight million, nine hundred thirty-five thousand, one hundred sixty-eight.

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