137968314

137,968,314 is an even composite number composed of five prime numbers multiplied together.

What does the number 137968314 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 48 divisors.

137968314 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 137968314:

2 × 3 × 11² × 59 × 3221

(2 × 3 × 11 × 11 × 59 × 3221)

See below for interesting mathematical facts about the number 137968314 from the Numbermatics database.

Names of 137968314

Cardinal: 137968314 can be written as One hundred thirty-seven million, nine hundred sixty-eight thousand, three hundred fourteen.

Scientific notation

Scientific notation: 1.37968314 × 10⁸

Factors of 137968314

Number of distinct prime factors ω(n): 5
Total number of prime factors Ω(n): 6
Sum of prime factors: 3296

Divisors of 137968314

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 6 11 22 33 59 66 118 121 177 242 354 363 649 726 1298 1947 3221 3894 6442 7139 9663 14278 19326 21417 35431 42834 70862 106293 190039 212586 380078 389741 570117 779482 1140234 1169223 2090429 2338446 4180858 6271287 12542574 22994719 45989438 68984157 137968314
Sum of all divisors σ(n): 308538720
Sum of proper divisors (its aliquot sum) s(n): 170570406
137968314 is an abundant number, because the sum of its proper divisors (170570406) is greater than itself. Its abundance is 32602092

Bases of 137968314

Binary: 1000001110010011101010111010₂
Hexadecimal: 0x8393ABA
Base-36: 2A5516

Squares and roots of 137968314

137968314 squared (137968314²) is 19035255668002596
137968314 cubed (137968314³) is 2626262131073261917743144
The square root of 137968314 is 11745.9914013249
The cube root of 137968314 is 516.7253709687

Scales and comparisons

How big is 137968314?

137,968,314 seconds is equal to 4 years, 20 weeks, 20 hours, 31 minutes, 54 seconds.
To count from 1 to 137,968,314 would take you about six 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 137968314 cubic inches would be around 43.1 feet tall.

Recreational maths with 137968314

137968314 backwards is 413869731
The number of decimal digits it has is: 9
The sum of 137968314's digits is 42
More coming soon!

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The information we have on file for 137968314 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!

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