137105328
137,105,328 is an even composite number composed of five prime numbers multiplied together.
What does the number 137105328 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 80 divisors.
137105328 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 137105328:
24 × 3 × 43 × 181 × 367
(2 × 2 × 2 × 2 × 3 × 43 × 181 × 367)See below for interesting mathematical facts about the number 137105328 from the Numbermatics database.
Names of 137105328
- Cardinal: 137105328 can be written as One hundred thirty-seven million, one hundred five thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37105328 × 108
Factors of 137105328
Divisors of 137105328
- Number of divisors d(n): 80
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 43 48 86 129 172 181 258 344 362 367 516 543 688 724 734 1032 1086 1101 1448 1468 2064 2172 2202 2896 2936 4344 4404 5872 7783 8688 8808 15566 15781 17616 23349 31132 31562 46698 47343 62264 63124 66427 93396 94686 124528 126248 132854 186792 189372 199281 252496 265708 373584 378744 398562 531416 757488 797124 1062832 1594248 2856361 3188496 5712722 8569083 11425444 17138166 22850888 34276332 45701776 68552664 137105328
- Sum of all divisors σ(n): 365421056
- Sum of proper divisors (its aliquot sum) s(n): 228315728
- 137105328 is an abundant number, because the sum of its proper divisors (228315728) is greater than itself. Its abundance is 91210400
Bases of 137105328
- Binary: 10000010110000001111101100002
- Hexadecimal: 0x82C0FB0
- Base-36: 29MN5C
Squares and roots of 137105328
- 137105328 squared (1371053282) is 18797870965987584
- 137105328 cubed (1371053283) is 2577288264493404548247552
-
The
square root of 137105328 is 11709.1984354179 -
The
cube root of 137105328 is 515.6457516865
Scales and comparisons
How big is 137105328?- 137,105,328 seconds is equal to 4 years, 18 weeks, 4 days, 20 hours, 48 minutes, 48 seconds.
-
To count from 1 to 137,105,328 would take you about six years!
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 137105328 cubic inches would be around 43 feet tall.
Recreational maths with 137105328
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137105328 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
APA style:
Numbermatics. (2024). Number 137105328 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/137105328/
Chicago style:
Numbermatics. 2024. "Number 137105328 - Facts about the integer". https://numbermatics.com/n/137105328/
The information we have on file for 137105328 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 137105328, math, Factors of 137105328, curriculum, school, college, exams, university, Prime factorization of 137105328, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven million, one hundred five thousand, three hundred twenty-eight.