# 131072

## 131,072 is an even composite number. It is composed of a single prime number multiplied by itself sixteen times.

What does the number 131072 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 18 divisors.

131072 is an even composite number. It is composed of one distinct prime number multiplied by itself sixteen times. It has a total of eighteen divisors.

## Prime factorization of 131072:

### 217

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)

See below for interesting mathematical facts about the number 131072 from the Numbermatics database.

### Names of 131072

• Cardinal: 131072 can be written as One hundred thirty-one thousand and seventy-two.

### Scientific notation

• Scientific notation: 1.31072 × 105

### Factors of 131072

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2

### Divisors of 131072

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 262143
• Sum of proper divisors (its aliquot sum) s(n): 131071
• 131072 is a deficient number, because the sum of its proper divisors (131071) is less than itself. Its deficiency is 1

### Bases of 131072

• Binary: 1000000000000000002
• Base-36: 2T4W

### Squares and roots of 131072

• 131072 squared (1310722) is 17179869184
• 131072 cubed (1310723) is 2251799813685248
• The square root of 131072 is 362.0386719675
• The cube root of 131072 is 50.7968336629

### Scales and comparisons

How big is 131072?
• 131,072 seconds is equal to 1 day, 12 hours, 24 minutes, 32 seconds.
• To count from 1 to 131,072 would take you about twelve 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 131072 cubic inches would be around 4.2 feet tall.

### Recreational maths with 131072

• 131072 backwards is 270131
• The number of decimal digits it has is: 6
• The sum of 131072's digits is 14
• More coming soon!