138420971711727021102240

138,420,971,711,727,021,102,240 is an even composite number composed of thirteen prime numbers multiplied together.

What does the number 138420971711727021102240 look like?

This visualization shows the relationship between its 13 prime factors (large circles) and 36864 divisors.

138420971711727021102240 is an even composite number. It is composed of thirteen distinct prime numbers multiplied together. It has a total of thirty-six thousand, eight hundred sixty-four divisors.

Prime factorization of 138420971711727021102240:

25 × 32 × 5 × 7 × 13 × 17 × 19 × 31 × 37 × 47 × 449 × 757 × 178481

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 17 × 19 × 31 × 37 × 47 × 449 × 757 × 178481)

See below for interesting mathematical facts about the number 138420971711727021102240 from the Numbermatics database.


Names of 138420971711727021102240

  • Cardinal: 138420971711727021102240 can be written as One hundred thirty-eight sextillion, four hundred twenty quintillion, nine hundred seventy-one quadrillion, seven hundred eleven trillion, seven hundred twenty-seven billion, twenty-one million, one hundred two thousand, two hundred forty.

Scientific notation

  • Scientific notation: 1.3842097171172702110224 × 1023

Factors of 138420971711727021102240

  • Number of distinct prime factors ω(n): 13
  • Total number of prime factors Ω(n): 18
  • Sum of prime factors: 179868

Divisors of 138420971711727021102240

Bases of 138420971711727021102240

  • Binary: 111010100111111010000110111111010001000010011011110110111110010010100101000002
  • Hexadecimal: 0x1D4FD0DFA2137B7C94A0
  • Base-36: MJGPNE07LYZDNS0

Squares and roots of 138420971711727021102240

  • 138420971711727021102240 squared (1384209717117270211022402) is 19160365409618732202374454717148382264533017600
  • 138420971711727021102240 cubed (1384209717117270211022403) is 2652196398351187447459981303215368386842019132138658775314425319424000
  • The square root of 138420971711727021102240 is 372049689842.2669309001
  • The cube root of 138420971711727021102240 is 51728985.9010377269

Scales and comparisons

How big is 138420971711727021102240?
  • 138,420,971,711,727,021,102,240 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,420,971,711,727,021,102,240 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 138420971711727021102240 cubic inches would be around 4310748.8 feet tall.

Recreational maths with 138420971711727021102240

  • 138420971711727021102240 backwards is 042201120727117179024831
  • 138420971711727021102240 is a Harshad number.
  • The number of decimal digits it has is: 24
  • The sum of 138420971711727021102240's digits is 72
  • More coming soon!

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"Number 138420971711727021102240 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.

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Numbermatics. (2024). Number 138420971711727021102240 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138420971711727021102240/

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The information we have on file for 138420971711727021102240 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 138420971711727021102240, math, Factors of 138420971711727021102240, curriculum, school, college, exams, university, Prime factorization of 138420971711727021102240, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight sextillion, four hundred twenty quintillion, nine hundred seventy-one quadrillion, seven hundred eleven trillion, seven hundred twenty-seven billion, twenty-one million, one hundred two thousand, two hundred forty.

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