14968800

14,968,800 is an even composite number composed of five prime numbers multiplied together.

What does the number 14968800 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 432 divisors.

14968800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.

Prime factorization of 14968800:

25 × 35 × 52 × 7 × 11

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 11)

See below for interesting mathematical facts about the number 14968800 from the Numbermatics database.

Names of 14968800

• Cardinal: 14968800 can be written as Fourteen million, nine hundred sixty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.49688 × 107

Factors of 14968800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 28

Divisors of 14968800

• Number of divisors d(n): 432
• Complete list of divisors:
• Sum of all divisors σ(n): 68245632
• Sum of proper divisors (its aliquot sum) s(n): 53276832
• 14968800 is an abundant number, because the sum of its proper divisors (53276832) is greater than itself. Its abundance is 38308032

Bases of 14968800

• Binary: 1110010001100111111000002
• Base-36: 8WU00

Squares and roots of 14968800

• 14968800 squared (149688002) is 224064973440000
• 14968800 cubed (149688003) is 3353983774428672000000
• The square root of 14968800 is 3868.9533468369
• The cube root of 14968800 is 246.4500980385

Scales and comparisons

How big is 14968800?
• 14,968,800 seconds is equal to 24 weeks, 5 days, 6 hours.
• To count from 1 to 14,968,800 would take you about thirty-seven weeks!

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 14968800 cubic inches would be around 20.5 feet tall.

Recreational maths with 14968800

• 14968800 backwards is 00886941
• 14968800 is a Harshad number.
• The number of decimal digits it has is: 8
• The sum of 14968800's digits is 36
• More coming soon!

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