# 648408768

## 648,408,768 is an even composite number composed of four prime numbers multiplied together.

What does the number 648408768 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 168 divisors.

648408768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.

## Prime factorization of 648408768:

### 26 × 3 × 72 × 413

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 41 × 41 × 41)

See below for interesting mathematical facts about the number 648408768 from the Numbermatics database.

### Names of 648408768

• Cardinal: 648408768 can be written as Six hundred forty-eight million, four hundred eight thousand, seven hundred sixty-eight.

### Scientific notation

• Scientific notation: 6.48408768 × 108

### Factors of 648408768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 53

### Divisors of 648408768

• Number of divisors d(n): 168
• Complete list of divisors:
• Sum of all divisors σ(n): 2045567664
• Sum of proper divisors (its aliquot sum) s(n): 1397158896
• 648408768 is an abundant number, because the sum of its proper divisors (1397158896) is greater than itself. Its abundance is 748750128

### Bases of 648408768

• Binary: 1001101010010111101110110000002
• Base-36: AQ1NEO

### Squares and roots of 648408768

• 648408768 squared (6484087682) is 420433930419277824
• 648408768 cubed (6484087683) is 272613046848561657309560832
• The square root of 648408768 is 25463.8718187161
• The cube root of 648408768 is 865.5316624163

### Scales and comparisons

How big is 648408768?
• 648,408,768 seconds is equal to 20 years, 32 weeks, 17 hours, 32 minutes, 48 seconds.
• To count from 1 to 648,408,768 would take you about thirty 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 648408768 cubic inches would be around 72.1 feet tall.

### Recreational maths with 648408768

• 648408768 backwards is 867804846
• The number of decimal digits it has is: 9
• The sum of 648408768's digits is 51
• More coming soon!