138225786988658688000

138,225,786,988,658,688,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138225786988658688000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 18900 divisors.

138225786988658688000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eighteen thousand, nine hundred divisors.

Prime factorization of 138225786988658688000:

220 × 34 × 53 × 114 × 232 × 412

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 23 × 23 × 41 × 41)

See below for interesting mathematical facts about the number 138225786988658688000 from the Numbermatics database.


Names of 138225786988658688000

  • Cardinal: 138225786988658688000 can be written as One hundred thirty-eight quintillion, two hundred twenty-five quadrillion, seven hundred eighty-six trillion, nine hundred eighty-eight billion, six hundred fifty-eight million, six hundred eighty-eight thousand.

Scientific notation

  • Scientific notation: 1.38225786988658688 × 1020

Factors of 138225786988658688000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 35
  • Sum of prime factors: 85

Divisors of 138225786988658688000

Bases of 138225786988658688000

  • Binary: 11101111110010001001010010011101010001000011101000000000000000000002
  • Hexadecimal: 0x77E44A4EA21D00000
  • Base-36: T66AG3ECBNK00

Squares and roots of 138225786988658688000

  • 138225786988658688000 squared (1382257869886586880002) is 19106368188634045446503537357881344000000
  • 138225786988658688000 cubed (1382257869886586880003) is 2640992779369014104022544286346073500738340018716672000000000
  • The square root of 138225786988658688000 is 11756946329.2412238519
  • The cube root of 138225786988658688000 is 5170466.0451149097

Scales and comparisons

How big is 138225786988658688000?
  • 138,225,786,988,658,688,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,225,786,988,658,688,000 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 138225786988658688000 cubic inches would be around 430872.2 feet tall.

Recreational maths with 138225786988658688000

  • 138225786988658688000 backwards is 000886856889687522831
  • 138225786988658688000 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138225786988658688000's digits is 108
  • 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 138225786988658688000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 October 2024.

APA style:
Numbermatics. (2024). Number 138225786988658688000 - Facts about the integer. Retrieved 31 October 2024, from https://numbermatics.com/n/138225786988658688000/

Chicago style:
Numbermatics. 2024. "Number 138225786988658688000 - Facts about the integer". https://numbermatics.com/n/138225786988658688000/

The information we have on file for 138225786988658688000 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 138225786988658688000, math, Factors of 138225786988658688000, curriculum, school, college, exams, university, Prime factorization of 138225786988658688000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, two hundred twenty-five quadrillion, seven hundred eighty-six trillion, nine hundred eighty-eight billion, six hundred fifty-eight million, six hundred eighty-eight thousand.

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