# 2004463990900

## 2,004,463,990,900 is an even composite number composed of seven prime numbers multiplied together.

What does the number 2004463990900 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.

2004463990900 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.

## Prime factorization of 2004463990900:

### 22 × 52 × 7 × 23 × 53 × 1187 × 1979

(2 × 2 × 5 × 5 × 7 × 23 × 53 × 1187 × 1979)

See below for interesting mathematical facts about the number 2004463990900 from the Numbermatics database.

### Names of 2004463990900

• Cardinal: 2004463990900 can be written as Two trillion, four billion, four hundred sixty-three million, nine hundred ninety thousand, nine hundred.

### Scientific notation

• Scientific notation: 2.0044639909 × 1012

### Factors of 2004463990900

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 3256

### Divisors of 2004463990900

• Number of divisors d(n): 288
• Complete list of divisors:
• Sum of all divisors σ(n): 5292201277440
• Sum of proper divisors (its aliquot sum) s(n): 3287737286540
• 2004463990900 is an abundant number, because the sum of its proper divisors (3287737286540) is greater than itself. Its abundance is 1283273295640

### Bases of 2004463990900

• Binary: 111010010101100110101110100111000011101002
• Base-36: PKU63TYS

### Squares and roots of 2004463990900

• 2004463990900 squared (20044639909002) is 4017875890814755282810000
• 2004463990900 cubed (20044639909003) is 8053687543043437026788190766429000000
• The square root of 2004463990900 is 1415790.9418060281
• The cube root of 2004463990900 is 12608.5773269981

### Scales and comparisons

How big is 2004463990900?
• 2,004,463,990,900 seconds is equal to 63,735 years, 39 weeks, 1 day, 17 hours, 1 minute, 40 seconds.
• To count from 1 to 2,004,463,990,900 would take you about one hundred fifty-nine thousand, three hundred thirty-nine 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 2004463990900 cubic inches would be around 1050.7 feet tall.

### Recreational maths with 2004463990900

• 2004463990900 backwards is 0090993644002
• 2004463990900 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 2004463990900's digits is 46
• More coming soon!