# 123008

## 123,008 is an even composite number composed of two prime numbers multiplied together.

What does the number 123008 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 24 divisors.

123008 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 123008:

### 27 × 312

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 31 × 31)

See below for interesting mathematical facts about the number 123008 from the Numbermatics database.

### Names of 123008

• Cardinal: 123008 can be written as One hundred twenty-three thousand and eight.

### Scientific notation

• Scientific notation: 1.23008 × 105

### Factors of 123008

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 33

### Divisors of 123008

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 253215
• Sum of proper divisors (its aliquot sum) s(n): 130207
• 123008 is an abundant number, because the sum of its proper divisors (130207) is greater than itself. Its abundance is 7199

### Bases of 123008

• Binary: 111100000100000002
• Base-36: 2MWW

### Squares and roots of 123008

• 123008 squared (1230082) is 15130968064
• 123008 cubed (1230083) is 1861230119616512
• The square root of 123008 is 350.7249634685
• The cube root of 123008 is 49.7329765075

### Scales and comparisons

How big is 123008?
• 123,008 seconds is equal to 1 day, 10 hours, 10 minutes, 8 seconds.
• To count from 1 to 123,008 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 123008 cubic inches would be around 4.1 feet tall.

### Recreational maths with 123008

• 123008 backwards is 800321
• The number of decimal digits it has is: 6
• The sum of 123008's digits is 14
• More coming soon!