40768

40,768 is an even composite number composed of three prime numbers multiplied together.

What does the number 40768 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

40768 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

Prime factorization of 40768:

2⁶ × 7² × 13

(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13)

See below for interesting mathematical facts about the number 40768 from the Numbermatics database.

Names of 40768

Cardinal: 40768 can be written as Forty thousand, seven hundred sixty-eight.

Scientific notation

Scientific notation: 4.0768 × 10⁴

Factors of 40768

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 22

Divisors of 40768

Number of divisors d(n): 42
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 364 392 416 448 637 728 784 832 1274 1456 1568 2548 2912 3136 5096 5824 10192 20384 40768
Sum of all divisors σ(n): 101346
Sum of proper divisors (its aliquot sum) s(n): 60578
40768 is an abundant number, because the sum of its proper divisors (60578) is greater than itself. Its abundance is 19810

Bases of 40768

Binary: 1001111101000000₂
Hexadecimal: 0x9F40
Base-36: VGG

Squares and roots of 40768

40768 squared (40768²) is 1662029824
40768 cubed (40768³) is 67757631864832
The square root of 40768 is 201.9108714259
The cube root of 40768 is 34.4170097959

Scales and comparisons

How big is 40768?

40,768 seconds is equal to 11 hours, 19 minutes, 28 seconds.
To count from 1 to 40,768 would take you about eleven 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 40768 cubic inches would be around 2.9 feet tall.

Recreational maths with 40768

40768 backwards is 86704
The number of decimal digits it has is: 5
The sum of 40768's digits is 25
More coming soon!

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The information we have on file for 40768 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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