# 13038

## 13,038 is an even composite number composed of four prime numbers multiplied together.

What does the number 13038 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

13038 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 13038:

### 2 × 3 × 41 × 53

See below for interesting mathematical facts about the number 13038 from the Numbermatics database.

### Names of 13038

• Cardinal: 13038 can be written as Thirteen thousand and thirty-eight.

### Scientific notation

• Scientific notation: 1.3038 × 104

### Factors of 13038

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 99

### Divisors of 13038

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 27216
• Sum of proper divisors (its aliquot sum) s(n): 14178
• 13038 is an abundant number, because the sum of its proper divisors (14178) is greater than itself. Its abundance is 1140

### Bases of 13038

• Binary: 110010111011102
• Base-36: A26

### Squares and roots of 13038

• 13038 squared (130382) is 169989444
• 13038 cubed (130383) is 2216322370872
• The square root of 13038 is 114.1840619351
• The cube root of 13038 is 23.5362350309

### Scales and comparisons

How big is 13038?
• 13,038 seconds is equal to 3 hours, 37 minutes, 18 seconds.
• To count from 1 to 13,038 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 13038 cubic inches would be around 2 feet tall.

### Recreational maths with 13038

• 13038 backwards is 83031
• The number of decimal digits it has is: 5
• The sum of 13038's digits is 15
• More coming soon!