# 31668

## 31,668 is an even composite number composed of five prime numbers multiplied together.

What does the number 31668 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 48 divisors.

31668 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 31668:

### 22 × 3 × 7 × 13 × 29

(2 × 2 × 3 × 7 × 13 × 29)

See below for interesting mathematical facts about the number 31668 from the Numbermatics database.

### Names of 31668

• Cardinal: 31668 can be written as Thirty-one thousand, six hundred sixty-eight.

### Scientific notation

• Scientific notation: 3.1668 × 104

### Factors of 31668

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 54

### Divisors of 31668

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 94080
• Sum of proper divisors (its aliquot sum) s(n): 62412
• 31668 is an abundant number, because the sum of its proper divisors (62412) is greater than itself. Its abundance is 30744

### Bases of 31668

• Binary: 1111011101101002
• Base-36: OFO

### Squares and roots of 31668

• 31668 squared (316682) is 1002862224
• 31668 cubed (316683) is 31758640909632
• The square root of 31668 is 177.9550505043
• The cube root of 31668 is 31.6378438875

### Scales and comparisons

How big is 31668?
• 31,668 seconds is equal to 8 hours, 47 minutes, 48 seconds.
• To count from 1 to 31,668 would take you about eight 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 31668 cubic inches would be around 2.6 feet tall.

### Recreational maths with 31668

• 31668 backwards is 86613
• The number of decimal digits it has is: 5
• The sum of 31668's digits is 24
• More coming soon!