# 13542400

## 13,542,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 13542400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 99 divisors.

13542400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of ninety-nine divisors.

## Prime factorization of 13542400:

### 210 × 52 × 232

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 23 × 23)

See below for interesting mathematical facts about the number 13542400 from the Numbermatics database.

### Names of 13542400

• Cardinal: 13542400 can be written as Thirteen million, five hundred forty-two thousand, four hundred.

### Scientific notation

• Scientific notation: 1.35424 × 107

### Factors of 13542400

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 30

### Divisors of 13542400

• Number of divisors d(n): 99
• Complete list of divisors:
• Sum of all divisors σ(n): 35091721
• Sum of proper divisors (its aliquot sum) s(n): 21549321
• 13542400 is an abundant number, because the sum of its proper divisors (21549321) is greater than itself. Its abundance is 8006921

### Bases of 13542400

• Binary: 1100111010100100000000002
• Base-36: 829DS

### Squares and roots of 13542400

• 13542400 squared (135424002) is 183396597760000
• 13542400 cubed (135424003) is 2483630085505024000000
• 13542400 is a perfect square number. Its square root is 3680
• The cube root of 13542400 is 238.3591780321

### Scales and comparisons

How big is 13542400?
• 13,542,400 seconds is equal to 22 weeks, 2 days, 17 hours, 46 minutes, 40 seconds.
• To count from 1 to 13,542,400 would take you about thirty-three weeks!

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 13542400 cubic inches would be around 19.9 feet tall.

### Recreational maths with 13542400

• 13542400 backwards is 00424531
• The number of decimal digits it has is: 8
• The sum of 13542400's digits is 19
• More coming soon!