138816

138,816 is an even composite number composed of three prime numbers multiplied together.

What does the number 138816 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

138816 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

Prime factorization of 138816:

2⁶ × 3² × 241

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 241)

See below for interesting mathematical facts about the number 138816 from the Numbermatics database.

Names of 138816

Cardinal: 138816 can be written as One hundred thirty-eight thousand, eight hundred sixteen.

Scientific notation

Scientific notation: 1.38816 × 10⁵

Factors of 138816

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 246

Divisors of 138816

Number of divisors d(n): 42
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 241 288 482 576 723 964 1446 1928 2169 2892 3856 4338 5784 7712 8676 11568 15424 17352 23136 34704 46272 69408 138816
Sum of all divisors σ(n): 399542
Sum of proper divisors (its aliquot sum) s(n): 260726
138816 is an abundant number, because the sum of its proper divisors (260726) is greater than itself. Its abundance is 121910

Bases of 138816

Binary: 100001111001000000₂
Hexadecimal: 0x21E40
Base-36: 2Z40

Squares and roots of 138816

138816 squared (138816²) is 19269881856
138816 cubed (138816³) is 2674967919722496
The square root of 138816 is 372.5801927103
The cube root of 138816 is 51.7781475383

Scales and comparisons

How big is 138816?

138,816 seconds is equal to 1 day, 14 hours, 33 minutes, 36 seconds.
To count from 1 to 138,816 would take you about fourteen hours.

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 138816 cubic inches would be around 4.3 feet tall.

Recreational maths with 138816

138816 backwards is 618831
The number of decimal digits it has is: 6
The sum of 138816's digits is 27
More coming soon!

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The information we have on file for 138816 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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