138824

138,824 is an even composite number composed of four prime numbers multiplied together.

What does the number 138824 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

138824 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 138824:

2³ × 7 × 37 × 67

(2 × 2 × 2 × 7 × 37 × 67)

See below for interesting mathematical facts about the number 138824 from the Numbermatics database.

Names of 138824

Cardinal: 138824 can be written as One hundred thirty-eight thousand, eight hundred twenty-four.

Scientific notation

Scientific notation: 1.38824 × 10⁵

Factors of 138824

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 113

Divisors of 138824

Number of divisors d(n): 32
Complete list of divisors:
1 2 4 7 8 14 28 37 56 67 74 134 148 259 268 296 469 518 536 938 1036 1876 2072 2479 3752 4958 9916 17353 19832 34706 69412 138824
Sum of all divisors σ(n): 310080
Sum of proper divisors (its aliquot sum) s(n): 171256
138824 is an abundant number, because the sum of its proper divisors (171256) is greater than itself. Its abundance is 32432

Bases of 138824

Binary: 100001111001001000₂
Hexadecimal: 0x21E48
Base-36: 2Z48

Squares and roots of 138824

138824 squared (138824²) is 19272102976
138824 cubed (138824³) is 2675430423540224
The square root of 138824 is 372.5909284993
The cube root of 138824 is 51.7791421817

Scales and comparisons

How big is 138824?

138,824 seconds is equal to 1 day, 14 hours, 33 minutes, 44 seconds.
To count from 1 to 138,824 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 138824 cubic inches would be around 4.3 feet tall.

Recreational maths with 138824

138824 backwards is 428831
The number of decimal digits it has is: 6
The sum of 138824's digits is 26
More coming soon!

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The information we have on file for 138824 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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