6144

6,144 is an even composite number composed of two prime numbers multiplied together.

What does the number 6144 look like?

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

6144 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 6144:

211 × 3

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

See below for interesting mathematical facts about the number 6144 from the Numbermatics database.

Names of 6144

• Cardinal: 6144 can be written as Six thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 6.144 × 103

Factors of 6144

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5

Divisors of 6144

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 16380
• Sum of proper divisors (its aliquot sum) s(n): 10236
• 6144 is an abundant number, because the sum of its proper divisors (10236) is greater than itself. Its abundance is 4092

Bases of 6144

• Binary: 11000000000002
• Base-36: 4QO

Squares and roots of 6144

• 6144 squared (61442) is 37748736
• 6144 cubed (61443) is 231928233984
• The square root of 6144 is 78.3836717691
• The cube root of 6144 is 18.3154278809

Scales and comparisons

How big is 6144?
• 6,144 seconds is equal to 1 hour, 42 minutes, 24 seconds.
• To count from 1 to 6,144 would take you about forty-two minutes.

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 6144 cubic inches would be around 1.5 feet tall.

Recreational maths with 6144

• 6144 backwards is 4416
• The number of decimal digits it has is: 4
• The sum of 6144's digits is 15
• More coming soon!