# 74144

## 74,144 is an even composite number composed of three prime numbers multiplied together.

What does the number 74144 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

74144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 74144:

### 25 × 7 × 331

(2 × 2 × 2 × 2 × 2 × 7 × 331)

See below for interesting mathematical facts about the number 74144 from the Numbermatics database.

### Names of 74144

• Cardinal: 74144 can be written as Seventy-four thousand, one hundred forty-four.

### Scientific notation

• Scientific notation: 7.4144 × 104

### Factors of 74144

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 340

### Divisors of 74144

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 167328
• Sum of proper divisors (its aliquot sum) s(n): 93184
• 74144 is an abundant number, because the sum of its proper divisors (93184) is greater than itself. Its abundance is 19040

### Bases of 74144

• Binary: 100100001101000002
• Base-36: 1L7K

### Squares and roots of 74144

• 74144 squared (741442) is 5497332736
• 74144 cubed (741443) is 407594238377984
• The square root of 74144 is 272.2939588017
• The cube root of 74144 is 42.0105793455

### Scales and comparisons

How big is 74144?
• 74,144 seconds is equal to 20 hours, 35 minutes, 44 seconds.
• To count from 1 to 74,144 would take you about twenty 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 74144 cubic inches would be around 3.5 feet tall.

### Recreational maths with 74144

• 74144 backwards is 44147
• The number of decimal digits it has is: 5
• The sum of 74144's digits is 20
• More coming soon!

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"Number 74144 - Facts about the integer". Numbermatics.com. 2023. Web. 4 February 2023.

APA style:
Numbermatics. (2023). Number 74144 - Facts about the integer. Retrieved 4 February 2023, from https://numbermatics.com/n/74144/

Chicago style:
Numbermatics. 2023. "Number 74144 - Facts about the integer". https://numbermatics.com/n/74144/

The information we have on file for 74144 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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