# 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!