# 18144

## 18,144 is an even composite number composed of three prime numbers multiplied together.

What does the number 18144 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

18144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 18144:

### 25 × 34 × 7

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 18144 from the Numbermatics database.

### Names of 18144

• Cardinal: 18144 can be written as Eighteen thousand, one hundred forty-four.

### Scientific notation

• Scientific notation: 1.8144 × 104

### Factors of 18144

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 12

### Divisors of 18144

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 60984
• Sum of proper divisors (its aliquot sum) s(n): 42840
• 18144 is an abundant number, because the sum of its proper divisors (42840) is greater than itself. Its abundance is 24696

### Bases of 18144

• Binary: 1000110111000002
• Base-36: E00

### Squares and roots of 18144

• 18144 squared (181442) is 329204736
• 18144 cubed (181443) is 5973090729984
• The square root of 18144 is 134.6996659239
• The cube root of 18144 is 26.2771148393

### Scales and comparisons

How big is 18144?
• 18,144 seconds is equal to 5 hours, 2 minutes, 24 seconds.
• To count from 1 to 18,144 would take you about five 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 18144 cubic inches would be around 2.2 feet tall.

### Recreational maths with 18144

• 18144 backwards is 44181
• 18144 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 18144's digits is 18
• More coming soon!