# 12144

## 12,144 is an even composite number composed of four prime numbers multiplied together.

What does the number 12144 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

12144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 12144:

### 24 × 3 × 11 × 23

(2 × 2 × 2 × 2 × 3 × 11 × 23)

See below for interesting mathematical facts about the number 12144 from the Numbermatics database.

### Names of 12144

• Cardinal: 12144 can be written as Twelve thousand, one hundred forty-four.

### Scientific notation

• Scientific notation: 1.2144 × 104

### Factors of 12144

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 39

### Divisors of 12144

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 35712
• Sum of proper divisors (its aliquot sum) s(n): 23568
• 12144 is an abundant number, because the sum of its proper divisors (23568) is greater than itself. Its abundance is 11424

### Bases of 12144

• Binary: 101111011100002
• Base-36: 9DC

### Squares and roots of 12144

• 12144 squared (121442) is 147476736
• 12144 cubed (121443) is 1790957481984
• The square root of 12144 is 110.1998185117
• The cube root of 12144 is 22.9854981047

### Scales and comparisons

How big is 12144?
• 12,144 seconds is equal to 3 hours, 22 minutes, 24 seconds.
• To count from 1 to 12,144 would take you about three 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 12144 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12144

• 12144 backwards is 44121
• 12144 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 12144's digits is 12
• More coming soon!