# 1006331331936

## 1,006,331,331,936 is an even composite number composed of six prime numbers multiplied together.

What does the number 1006331331936 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.

1006331331936 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.

## Prime factorization of 1006331331936:

### 25 × 3 × 7 × 19 × 233 × 338269

(2 × 2 × 2 × 2 × 2 × 3 × 7 × 19 × 233 × 338269)

See below for interesting mathematical facts about the number 1006331331936 from the Numbermatics database.

### Names of 1006331331936

• Cardinal: 1006331331936 can be written as One trillion, six billion, three hundred thirty-one million, three hundred thirty-one thousand, nine hundred thirty-six.

### Scientific notation

• Scientific notation: 1.006331331936 × 1012

### Factors of 1006331331936

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 338533

### Divisors of 1006331331936

• Number of divisors d(n): 192
• Complete list of divisors:
• Sum of all divisors σ(n): 3191536857600
• Sum of proper divisors (its aliquot sum) s(n): 2185205525664
• 1006331331936 is an abundant number, because the sum of its proper divisors (2185205525664) is greater than itself. Its abundance is 1178874193728

### Bases of 1006331331936

• Binary: 11101010010011100000010110000101011000002
• Base-36: CUAVOX9C

### Squares and roots of 1006331331936

• 1006331331936 squared (10063313319362) is 1012702749636083813508096
• 1006331331936 cubed (10063313319363) is 1019114506896529763334532476399353856
• The square root of 1006331331936 is 1003160.6710472655
• The cube root of 1006331331936 is 10021.0600560549

### Scales and comparisons

How big is 1006331331936?
• 1,006,331,331,936 seconds is equal to 31,998 years, 11 weeks, 4 days, 9 hours, 5 minutes, 36 seconds.
• To count from 1 to 1,006,331,331,936 would take you about seventy-nine thousand, nine hundred ninety-five 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 1006331331936 cubic inches would be around 835.1 feet tall.

### Recreational maths with 1006331331936

• 1006331331936 backwards is 6391331336001
• The number of decimal digits it has is: 13
• The sum of 1006331331936's digits is 39
• More coming soon!