138024

138,024 is an even composite number composed of three prime numbers multiplied together.

What does the number 138024 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

138024 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 138024:

2³ × 3⁵ × 71

(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 71)

See below for interesting mathematical facts about the number 138024 from the Numbermatics database.

Names of 138024

Cardinal: 138024 can be written as One hundred thirty-eight thousand and twenty-four.

Scientific notation

Scientific notation: 1.38024 × 10⁵

Factors of 138024

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 76

Divisors of 138024

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 243 284 324 426 486 568 639 648 852 972 1278 1704 1917 1944 2556 3834 5112 5751 7668 11502 15336 17253 23004 34506 46008 69012 138024
Sum of all divisors σ(n): 393120
Sum of proper divisors (its aliquot sum) s(n): 255096
138024 is an abundant number, because the sum of its proper divisors (255096) is greater than itself. Its abundance is 117072

Bases of 138024

Binary: 100001101100101000₂
Hexadecimal: 0x21B28
Base-36: 2YI0

Squares and roots of 138024

138024 squared (138024²) is 19050624576
138024 cubed (138024³) is 2629443406477824
The square root of 138024 is 371.5158139299
The cube root of 138024 is 51.6794880885

Scales and comparisons

How big is 138024?

138,024 seconds is equal to 1 day, 14 hours, 20 minutes, 24 seconds.
To count from 1 to 138,024 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 138024 cubic inches would be around 4.3 feet tall.

Recreational maths with 138024

138024 backwards is 420831
138024 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 138024's digits is 18
More coming soon!

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The information we have on file for 138024 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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