# 803140800

## 803,140,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 803140800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 672 divisors.

803140800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.

## Prime factorization of 803140800:

### 26 × 3 × 52 × 7 × 11 × 41 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 41 × 53)

See below for interesting mathematical facts about the number 803140800 from the Numbermatics database.

### Names of 803140800

• Cardinal: 803140800 can be written as Eight hundred three million, one hundred forty thousand, eight hundred.

### Scientific notation

• Scientific notation: 8.031408 × 108

### Factors of 803140800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 122

### Divisors of 803140800

• Number of divisors d(n): 672
• Complete list of divisors:
• Sum of all divisors σ(n): 3428780544
• Sum of proper divisors (its aliquot sum) s(n): 2625639744
• 803140800 is an abundant number, because the sum of its proper divisors (2625639744) is greater than itself. Its abundance is 1822498944

### Bases of 803140800

• Binary: 1011111101111011110100110000002
• Base-36: DA63EO

### Squares and roots of 803140800

• 803140800 squared (8031408002) is 645035144624640000
• 803140800 cubed (8031408003) is 518054042081949069312000000
• The square root of 803140800 is 28339.7388837655
• The cube root of 803140800 is 929.5310388537

### Scales and comparisons

How big is 803140800?
• 803,140,800 seconds is equal to 25 years, 27 weeks, 6 days, 14 hours, 40 minutes.
• To count from 1 to 803,140,800 would take you about thirty-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 803140800 cubic inches would be around 77.5 feet tall.

### Recreational maths with 803140800

• 803140800 backwards is 008041308
• 803140800 is a Harshad number.
• The number of decimal digits it has is: 9
• The sum of 803140800's digits is 24
• More coming soon!