# 4140

## 4,140 is an even composite number composed of four prime numbers multiplied together.

What does the number 4140 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

4140 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 4140:

### 22 × 32 × 5 × 23

(2 × 2 × 3 × 3 × 5 × 23)

See below for interesting mathematical facts about the number 4140 from the Numbermatics database.

### Names of 4140

• Cardinal: 4140 can be written as Four thousand, one hundred forty.

### Scientific notation

• Scientific notation: 4.14 × 103

### Factors of 4140

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 33

### Divisors of 4140

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 13104
• Sum of proper divisors (its aliquot sum) s(n): 8964
• 4140 is an abundant number, because the sum of its proper divisors (8964) is greater than itself. Its abundance is 4824

### Bases of 4140

• Binary: 10000001011002
• Base-36: 370

### Squares and roots of 4140

• 4140 squared (41402) is 17139600
• 4140 cubed (41403) is 70957944000
• The square root of 4140 is 64.3428317685
• The cube root of 4140 is 16.0570877365

### Scales and comparisons

How big is 4140?
• 4,140 seconds is equal to 1 hour, 9 minutes.
• To count from 1 to 4,140 would take you about nine minutes.

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 4140 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4140

• 4140 backwards is 0414
• 4140 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4140's digits is 9
• More coming soon!

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"Number 4140 - Facts about the integer". Numbermatics.com. 2022. Web. 12 August 2022.

APA style:
Numbermatics. (2022). Number 4140 - Facts about the integer. Retrieved 12 August 2022, from https://numbermatics.com/n/4140/

Chicago style:
Numbermatics. 2022. "Number 4140 - Facts about the integer". https://numbermatics.com/n/4140/

The information we have on file for 4140 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!

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