40068

40,068 is an even composite number composed of four prime numbers multiplied together.

What does the number 40068 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

40068 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 40068:

2² × 3³ × 7 × 53

(2 × 2 × 3 × 3 × 3 × 7 × 53)

See below for interesting mathematical facts about the number 40068 from the Numbermatics database.

Names of 40068

Cardinal: 40068 can be written as Forty thousand and sixty-eight.

Scientific notation

Scientific notation: 4.0068 × 10⁴

Factors of 40068

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 65

Divisors of 40068

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1113 1431 1484 1908 2226 2862 3339 4452 5724 6678 10017 13356 20034 40068
Sum of all divisors σ(n): 120960
Sum of proper divisors (its aliquot sum) s(n): 80892
40068 is an abundant number, because the sum of its proper divisors (80892) is greater than itself. Its abundance is 40824

Bases of 40068

Binary: 1001110010000100₂
Hexadecimal: 0x9C84
Base-36: UX0

Squares and roots of 40068

40068 squared (40068²) is 1605444624
40068 cubed (40068³) is 64326955194432
The square root of 40068 is 200.1699278113
The cube root of 40068 is 34.2188876895

Scales and comparisons

How big is 40068?

40,068 seconds is equal to 11 hours, 7 minutes, 48 seconds.
To count from 1 to 40,068 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 40068 cubic inches would be around 2.9 feet tall.

Recreational maths with 40068

40068 backwards is 86004
40068 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 40068's digits is 18
More coming soon!

Copy this link to share with anyone:

Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

<a href="https://numbermatics.com/n/40068/?utm_source=shared">Number 40068 - Facts about the integer</a>

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

[url=https://numbermatics.com/n/40068/?utm_source=shared]Number 40068 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 40068 - Facts about the integer". Numbermatics.com. 2024. Web. 19 April 2024.

APA style:
Numbermatics. (2024). Number 40068 - Facts about the integer. Retrieved 19 April 2024, from https://numbermatics.com/n/40068/

Chicago style:
Numbermatics. 2024. "Number 40068 - Facts about the integer". https://numbermatics.com/n/40068/

The information we have on file for 40068 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!

Keywords: Divisors of 40068, math, Factors of 40068, curriculum, school, college, exams, university, Prime factorization of 40068, STEM, science, technology, engineering, physics, economics, calculator, forty thousand and sixty-eight.