# 165312

## 165,312 is an even composite number composed of four prime numbers multiplied together.

What does the number 165312 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 84 divisors.

165312 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.

## Prime factorization of 165312:

### 26 × 32 × 7 × 41

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

See below for interesting mathematical facts about the number 165312 from the Numbermatics database.

### Names of 165312

• Cardinal: 165312 can be written as One hundred sixty-five thousand, three hundred twelve.

### Scientific notation

• Scientific notation: 1.65312 × 105

### Factors of 165312

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 53

### Divisors of 165312

• Number of divisors d(n): 84
• Complete list of divisors:
• Sum of all divisors σ(n): 554736
• Sum of proper divisors (its aliquot sum) s(n): 389424
• 165312 is an abundant number, because the sum of its proper divisors (389424) is greater than itself. Its abundance is 224112

### Bases of 165312

• Binary: 1010000101110000002
• Base-36: 3JK0

### Squares and roots of 165312

• 165312 squared (1653122) is 27328057344
• 165312 cubed (1653123) is 4517655815651328
• The square root of 165312 is 406.5857843065
• The cube root of 165312 is 54.8826146589

### Scales and comparisons

How big is 165312?
• 165,312 seconds is equal to 1 day, 21 hours, 55 minutes, 12 seconds.
• To count from 1 to 165,312 would take you about twenty-one 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 165312 cubic inches would be around 4.6 feet tall.

### Recreational maths with 165312

• 165312 backwards is 213561
• 165312 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 165312's digits is 18
• More coming soon!