138140370697865189248512000

138,140,370,697,865,189,248,512,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138140370697865189248512000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 23296 divisors.

138140370697865189248512000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of twenty-three thousand, two hundred ninety-six divisors.

Prime factorization of 138140370697865189248512000:

212 × 33 × 53 × 176 × 293 × 2573

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 17 × 17 × 17 × 17 × 29 × 29 × 29 × 257 × 257 × 257)

See below for interesting mathematical facts about the number 138140370697865189248512000 from the Numbermatics database.


Names of 138140370697865189248512000

  • Cardinal: 138140370697865189248512000 can be written as One hundred thirty-eight septillion, one hundred forty sextillion, three hundred seventy quintillion, six hundred ninety-seven quadrillion, eight hundred sixty-five trillion, one hundred eighty-nine billion, two hundred forty-eight million, five hundred twelve thousand.

Scientific notation

  • Scientific notation: 1.38140370697865189248512 × 1026

Factors of 138140370697865189248512000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 30
  • Sum of prime factors: 313

Divisors of 138140370697865189248512000

Bases of 138140370697865189248512000

  • Binary: 1110010010001000101110010000000001111001110000010100111101010100100110010110000000000002
  • Hexadecimal: 0x72445C803CE0A7AA4CB000
  • Base-36: HCUZ9QQP47M33CAO0

Squares and roots of 138140370697865189248512000

  • 138140370697865189248512000 squared (1381403706978651892485120002) is 19082762016543611392834761623741468759294214144000000
  • 138140370697865189248512000 cubed (1381403706978651892485120003) is 2636099818904475925001933165223917399530782944193085424518756961353728000000000
  • The square root of 138140370697865189248512000 is 11753313179604.5147862025
  • 138140370697865189248512000 is a perfect cube number. Its cube root is 516940080

Scales and comparisons

How big is 138140370697865189248512000?
  • 138,140,370,697,865,189,248,512,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,140,370,697,865,189,248,512,000 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 138140370697865189248512000 cubic inches would be around 43078340 feet tall.

Recreational maths with 138140370697865189248512000

  • 138140370697865189248512000 backwards is 000215842981568796073041831
  • 138140370697865189248512000 is a Harshad number.
  • The number of decimal digits it has is: 27
  • The sum of 138140370697865189248512000's digits is 108
  • More coming soon!

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The information we have on file for 138140370697865189248512000 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 138140370697865189248512000, math, Factors of 138140370697865189248512000, curriculum, school, college, exams, university, Prime factorization of 138140370697865189248512000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight septillion, one hundred forty sextillion, three hundred seventy quintillion, six hundred ninety-seven quadrillion, eight hundred sixty-five trillion, one hundred eighty-nine billion, two hundred forty-eight million, five hundred twelve thousand.

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