138432

138,432 is an even composite number composed of four prime numbers multiplied together.

What does the number 138432 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 56 divisors.

138432 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of fifty-six divisors.

Prime factorization of 138432:

2⁶ × 3 × 7 × 103

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 103)

See below for interesting mathematical facts about the number 138432 from the Numbermatics database.

Names of 138432

Cardinal: 138432 can be written as One hundred thirty-eight thousand, four hundred thirty-two.

Scientific notation

Scientific notation: 1.38432 × 10⁵

Factors of 138432

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 9
Sum of prime factors: 115

Divisors of 138432

Number of divisors d(n): 56
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 168 192 206 224 309 336 412 448 618 672 721 824 1236 1344 1442 1648 2163 2472 2884 3296 4326 4944 5768 6592 8652 9888 11536 17304 19776 23072 34608 46144 69216 138432
Sum of all divisors σ(n): 422656
Sum of proper divisors (its aliquot sum) s(n): 284224
138432 is an abundant number, because the sum of its proper divisors (284224) is greater than itself. Its abundance is 145792

Bases of 138432

Binary: 100001110011000000₂
Hexadecimal: 0x21CC0
Base-36: 2YTC

Squares and roots of 138432

138432 squared (138432²) is 19163418624
138432 cubed (138432³) is 2652830366957568
The square root of 138432 is 372.0645105353
The cube root of 138432 is 51.7303596501

Scales and comparisons

How big is 138432?

138,432 seconds is equal to 1 day, 14 hours, 27 minutes, 12 seconds.
To count from 1 to 138,432 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 138432 cubic inches would be around 4.3 feet tall.

Recreational maths with 138432

138432 backwards is 234831
138432 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 138432's digits is 21
More coming soon!

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The information we have on file for 138432 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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