# 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!

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"Number 131072 - Facts about the integer". Numbermatics.com. 2021. Web. 19 October 2021.

APA style:
Numbermatics. (2021). Number 131072 - Facts about the integer. Retrieved 19 October 2021, from https://numbermatics.com/n/131072/

Chicago style:
Numbermatics. 2021. "Number 131072 - Facts about the integer". https://numbermatics.com/n/131072/

The information we have on file for 131072 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 131072, math, Factors of 131072, curriculum, school, college, exams, university, Prime factorization of 131072, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one thousand and seventy-two.

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