138872250380939100480000

138,872,250,380,939,100,480,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138872250380939100480000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 34650 divisors.

138872250380939100480000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of thirty-four thousand, six hundred fifty divisors.

Prime factorization of 138872250380939100480000:

29 × 310 × 54 × 72 × 132 × 316

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 31 × 31 × 31 × 31 × 31 × 31)

See below for interesting mathematical facts about the number 138872250380939100480000 from the Numbermatics database.


Names of 138872250380939100480000

  • Cardinal: 138872250380939100480000 can be written as One hundred thirty-eight sextillion, eight hundred seventy-two quintillion, two hundred fifty quadrillion, three hundred eighty trillion, nine hundred thirty-nine billion, one hundred million, four hundred eighty thousand.

Scientific notation

  • Scientific notation: 1.3887225038093910048 × 1023

Factors of 138872250380939100480000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 33
  • Sum of prime factors: 61

Divisors of 138872250380939100480000

Bases of 138872250380939100480000

  • Binary: 111010110100001000111100111111000100010111111011001000111110011100010000000002
  • Hexadecimal: 0x1D68479F88BF647CE200
  • Base-36: MM3Y94HF7OI0000

Squares and roots of 138872250380939100480000

  • 138872250380939100480000 squared (1388722503809391004800002) is 19285501925866240138381958274511536230400000000
  • 138872250380939100480000 cubed (1388722503809391004800003) is 2678221052170979723002207068102428595025483922991506030592000000000000
  • The square root of 138872250380939100480000 is 372655672680.4773872017
  • The cube root of 138872250380939100480000 is 51785140.3614689479
  • Being both a perfect square and a perfect cube, 138872250380939100480000 is also a perfect sixth number.

Scales and comparisons

How big is 138872250380939100480000?
  • 138,872,250,380,939,100,480,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,872,250,380,939,100,480,000 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 138872250380939100480000 cubic inches would be around 4315428.4 feet tall.

Recreational maths with 138872250380939100480000

  • 138872250380939100480000 backwards is 000084001939083052278831
  • 138872250380939100480000 is a Harshad number.
  • The number of decimal digits it has is: 24
  • The sum of 138872250380939100480000's digits is 81
  • More coming soon!

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"Number 138872250380939100480000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.

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The information we have on file for 138872250380939100480000 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 138872250380939100480000, math, Factors of 138872250380939100480000, curriculum, school, college, exams, university, Prime factorization of 138872250380939100480000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight sextillion, eight hundred seventy-two quintillion, two hundred fifty quadrillion, three hundred eighty trillion, nine hundred thirty-nine billion, one hundred million, four hundred eighty thousand.

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