# 138240

## 138,240 is an even composite number composed of three prime numbers multiplied together.

What does the number 138240 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 88 divisors.

138240 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighty-eight divisors.

## Prime factorization of 138240:

### 210 × 33 × 5

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5)

See below for interesting mathematical facts about the number 138240 from the Numbermatics database.

### Names of 138240

• Cardinal: 138240 can be written as One hundred thirty-eight thousand, two hundred forty.

### Scientific notation

• Scientific notation: 1.3824 × 105

### Factors of 138240

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 10

### Divisors of 138240

• Number of divisors d(n): 88
• Complete list of divisors:
• Sum of all divisors σ(n): 491280
• Sum of proper divisors (its aliquot sum) s(n): 353040
• 138240 is an abundant number, because the sum of its proper divisors (353040) is greater than itself. Its abundance is 214800

### Bases of 138240

• Binary: 1000011100000000002
• Base-36: 2YO0

### Squares and roots of 138240

• 138240 squared (1382402) is 19110297600
• 138240 cubed (1382403) is 2641807540224000
• The square root of 138240 is 371.8064012359
• The cube root of 138240 is 51.7064325609

### Scales and comparisons

How big is 138240?
• 138,240 seconds is equal to 1 day, 14 hours, 24 minutes.
• To count from 1 to 138,240 would take you about fourteen 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 138240 cubic inches would be around 4.3 feet tall.

### Recreational maths with 138240

• 138240 backwards is 042831
• 138240 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 138240's digits is 18
• More coming soon!