138440345083882153200

138,440,345,083,882,153,200 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138440345083882153200 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 6750 divisors.

138440345083882153200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand, seven hundred fifty divisors.

Prime factorization of 138440345083882153200:

24 × 34 × 52 × 74 × 312 × 47 × 62772

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 31 × 31 × 47 × 6277 × 6277)

See below for interesting mathematical facts about the number 138440345083882153200 from the Numbermatics database.


Names of 138440345083882153200

  • Cardinal: 138440345083882153200 can be written as One hundred thirty-eight quintillion, four hundred forty quadrillion, three hundred forty-five trillion, eighty-three billion, eight hundred eighty-two million, one hundred fifty-three thousand, two hundred.

Scientific notation

  • Scientific notation: 1.384403450838821532 × 1020

Factors of 138440345083882153200

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 19
  • Sum of prime factors: 6372

Divisors of 138440345083882153200

Bases of 138440345083882153200

  • Binary: 11110000001001111101110100001011101100010110100101010100100111100002
  • Hexadecimal: 0x7813EE85D8B4AA4F0
  • Base-36: T7SZ2LAK5UN00

Squares and roots of 138440345083882153200

  • 138440345083882153200 squared (1384403450838821532002) is 19165729146944373463737923625468270240000
  • 138440345083882153200 cubed (1384403450838821532003) is 2653310156887197386622416383056757272780261666010680768000000
  • The square root of 138440345083882153200 is 11766067528.4430589233
  • The cube root of 138440345083882153200 is 5173139.9114710105

Scales and comparisons

How big is 138440345083882153200?
  • 138,440,345,083,882,153,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,440,345,083,882,153,200 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 138440345083882153200 cubic inches would be around 431095 feet tall.

Recreational maths with 138440345083882153200

  • 138440345083882153200 backwards is 002351288380543044831
  • 138440345083882153200 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138440345083882153200's digits is 72
  • More coming soon!

Copy this link to share with anyone:


Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

Cite this page

MLA style:
"Number 138440345083882153200 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.

APA style:
Numbermatics. (2024). Number 138440345083882153200 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138440345083882153200/

Chicago style:
Numbermatics. 2024. "Number 138440345083882153200 - Facts about the integer". https://numbermatics.com/n/138440345083882153200/

The information we have on file for 138440345083882153200 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 138440345083882153200, math, Factors of 138440345083882153200, curriculum, school, college, exams, university, Prime factorization of 138440345083882153200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred forty quadrillion, three hundred forty-five trillion, eighty-three billion, eight hundred eighty-two million, one hundred fifty-three thousand, two hundred.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.