138384

138,384 is an even composite number composed of three prime numbers multiplied together.

What does the number 138384 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 45 divisors.

138384 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-five divisors.

Prime factorization of 138384:

2⁴ × 3² × 31²

(2 × 2 × 2 × 2 × 3 × 3 × 31 × 31)

See below for interesting mathematical facts about the number 138384 from the Numbermatics database.

Names of 138384

Cardinal: 138384 can be written as One hundred thirty-eight thousand, three hundred eighty-four.

Scientific notation

Scientific notation: 1.38384 × 10⁵

Factors of 138384

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 36

Divisors of 138384

Number of divisors d(n): 45
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 961 1116 1488 1922 2232 2883 3844 4464 5766 7688 8649 11532 15376 17298 23064 34596 46128 69192 138384
Sum of all divisors σ(n): 400179
Sum of proper divisors (its aliquot sum) s(n): 261795
138384 is an abundant number, because the sum of its proper divisors (261795) is greater than itself. Its abundance is 123411

Bases of 138384

Binary: 100001110010010000₂
Hexadecimal: 0x21C90
Base-36: 2YS0

Squares and roots of 138384

138384 squared (138384²) is 19150131456
138384 cubed (138384³) is 2650071791407104
138384 is a perfect square number. Its square root is 372
The cube root of 138384 is 51.7243799527

Scales and comparisons

How big is 138384?

138,384 seconds is equal to 1 day, 14 hours, 26 minutes, 24 seconds.
To count from 1 to 138,384 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 138384 cubic inches would be around 4.3 feet tall.

Recreational maths with 138384

138384 backwards is 483831
The number of decimal digits it has is: 6
The sum of 138384's digits is 27
More coming soon!

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The information we have on file for 138384 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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