138174536769933312000

138,174,536,769,933,312,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138174536769933312000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 25344 divisors.

138174536769933312000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of twenty-five thousand, three hundred forty-four divisors.

Prime factorization of 138174536769933312000:

215 × 310 × 53 × 112 × 173 × 312

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 17 × 17 × 17 × 31 × 31)

See below for interesting mathematical facts about the number 138174536769933312000 from the Numbermatics database.


Names of 138174536769933312000

  • Cardinal: 138174536769933312000 can be written as One hundred thirty-eight quintillion, one hundred seventy-four quadrillion, five hundred thirty-six trillion, seven hundred sixty-nine billion, nine hundred thirty-three million, three hundred twelve thousand.

Scientific notation

  • Scientific notation: 1.38174536769933312 × 1020

Factors of 138174536769933312000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 35
  • Sum of prime factors: 69

Divisors of 138174536769933312000

Bases of 138174536769933312000

  • Binary: 11101111101100011101001000100011100101110000000011010000000000000002
  • Hexadecimal: 0x77D8E911CB8068000
  • Base-36: T5S9TEOW00000

Squares and roots of 138174536769933312000

  • 138174536769933312000 squared (1381745367699333120002) is 19092202611585652865883768927289344000000
  • 138174536769933312000 cubed (1381745367699333120003) is 2638056251773558599113751284171604862174955808227328000000000
  • The square root of 138174536769933312000 is 11754766555.3142020703
  • The cube root of 138174536769933312000 is 5169826.9451847437

Scales and comparisons

How big is 138174536769933312000?
  • 138,174,536,769,933,312,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,174,536,769,933,312,000 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 138174536769933312000 cubic inches would be around 430818.9 feet tall.

Recreational maths with 138174536769933312000

  • 138174536769933312000 backwards is 000213339967635471831
  • 138174536769933312000 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138174536769933312000's digits is 81
  • More coming soon!

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"Number 138174536769933312000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.

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The information we have on file for 138174536769933312000 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 138174536769933312000, math, Factors of 138174536769933312000, curriculum, school, college, exams, university, Prime factorization of 138174536769933312000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred seventy-four quadrillion, five hundred thirty-six trillion, seven hundred sixty-nine billion, nine hundred thirty-three million, three hundred twelve thousand.

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