# 1001048948

## 1,001,048,948 is an even composite number composed of three prime numbers multiplied together.

What does the number 1001048948 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

1001048948 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 1001048948:

### 22 × 412 × 533

(2 × 2 × 41 × 41 × 53 × 53 × 53)

See below for interesting mathematical facts about the number 1001048948 from the Numbermatics database.

### Names of 1001048948

• Cardinal: 1001048948 can be written as One billion, one million, forty-eight thousand, nine hundred forty-eight.

### Scientific notation

• Scientific notation: 1.001048948 × 109

### Factors of 1001048948

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 96

### Divisors of 1001048948

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 1830136140
• Sum of proper divisors (its aliquot sum) s(n): 829087192
• 1001048948 is a deficient number, because the sum of its proper divisors (829087192) is less than itself. Its deficiency is 171961756

### Bases of 1001048948

• Binary: 1110111010101011001011011101002
• Base-36: GJZYB8

### Squares and roots of 1001048948

• 1001048948 squared (10010489482) is 1002098996291906704
• 1001048948 cubed (10010489483) is 1003150146029869106953347392
• The square root of 1001048948 is 31639.3575788131
• The cube root of 1001048948 is 1000.3495271499

### Scales and comparisons

How big is 1001048948?
• 1,001,048,948 seconds is equal to 31 years, 43 weeks, 1 day, 5 hours, 9 minutes, 8 seconds.
• To count from 1 to 1,001,048,948 would take you about sixty-three 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 1001048948 cubic inches would be around 83.4 feet tall.

### Recreational maths with 1001048948

• 1001048948 backwards is 8498401001
• The number of decimal digits it has is: 10
• The sum of 1001048948's digits is 35
• More coming soon!