# 125856

## 125,856 is an even composite number composed of four prime numbers multiplied together.

What does the number 125856 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.

125856 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 125856:

### 25 × 32 × 19 × 23

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 23)

See below for interesting mathematical facts about the number 125856 from the Numbermatics database.

### Names of 125856

• Cardinal: 125856 can be written as One hundred twenty-five thousand, eight hundred fifty-six.

### Scientific notation

• Scientific notation: 1.25856 × 105

### Factors of 125856

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 47

### Divisors of 125856

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 393120
• Sum of proper divisors (its aliquot sum) s(n): 267264
• 125856 is an abundant number, because the sum of its proper divisors (267264) is greater than itself. Its abundance is 141408

### Bases of 125856

• Binary: 111101011101000002
• Base-36: 2P40

### Squares and roots of 125856

• 125856 squared (1258562) is 15839732736
• 125856 cubed (1258563) is 1993525403222016
• The square root of 125856 is 354.7618919783
• The cube root of 125856 is 50.1138737917

### Scales and comparisons

How big is 125856?
• 125,856 seconds is equal to 1 day, 10 hours, 57 minutes, 36 seconds.
• To count from 1 to 125,856 would take you about ten hours.

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 125856 cubic inches would be around 4.2 feet tall.

### Recreational maths with 125856

• 125856 backwards is 658521
• The number of decimal digits it has is: 6
• The sum of 125856's digits is 27
• More coming soon!