# 1073741824

## 1,073,741,824 is an even composite number. It is composed of a single prime number multiplied by itself twenty-nine times.

What does the number 1073741824 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 31 divisors.

1073741824 is an even composite number. It is composed of one distinct prime number multiplied by itself twenty-nine times. It has a total of thirty-one divisors.

## Prime factorization of 1073741824:

### 230

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 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 1073741824 from the Numbermatics database.

### Names of 1073741824

• Cardinal: 1073741824 can be written as One billion, seventy-three million, seven hundred forty-one thousand, eight hundred twenty-four.

### Scientific notation

• Scientific notation: 1.073741824 × 109

### Factors of 1073741824

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 30
• Sum of prime factors: 2

### Divisors of 1073741824

• Number of divisors d(n): 31
• Complete list of divisors:
• Sum of all divisors σ(n): 2147483647
• Sum of proper divisors (its aliquot sum) s(n): 1073741823
• 1073741824 is a deficient number, because the sum of its proper divisors (1073741823) is less than itself. Its deficiency is 1

### Bases of 1073741824

• Binary: 10000000000000000000000000000002
• Base-36: HRA0HS

### Squares and roots of 1073741824

• 1073741824 squared (10737418242) is 1152921504606846976
• 1073741824 cubed (10737418243) is 1237940039285380274899124224
• 1073741824 is a perfect square number. Its square root is 32768
• 1073741824 is a perfect cube number. Its cube root is 1024

### Scales and comparisons

How big is 1073741824?
• 1,073,741,824 seconds is equal to 34 years, 7 weeks, 2 days, 13 hours, 37 minutes, 4 seconds.
• To count from 1 to 1,073,741,824 would take you about sixty-eight years!

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 1073741824 cubic inches would be around 85.3 feet tall.

### Recreational maths with 1073741824

• 1073741824 backwards is 4281473701
• The number of decimal digits it has is: 10
• The sum of 1073741824's digits is 37
• More coming soon!

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"Number 1073741824 - Facts about the integer". Numbermatics.com. 2021. Web. 23 October 2021.

APA style:
Numbermatics. (2021). Number 1073741824 - Facts about the integer. Retrieved 23 October 2021, from https://numbermatics.com/n/1073741824/

Chicago style:
Numbermatics. 2021. "Number 1073741824 - Facts about the integer". https://numbermatics.com/n/1073741824/

The information we have on file for 1073741824 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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