131455968
131,455,968 is an even composite number composed of six prime numbers multiplied together.
131455968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 131455968:
25 × 3 × 7 × 17 × 37 × 311
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 37 × 311)See below for interesting mathematical facts about the number 131455968 from the Numbermatics database.
Names of 131455968
- Cardinal: 131455968 can be written as One hundred thirty-one million, four hundred fifty-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.31455968 × 108
Factors of 131455968
Divisors of 131455968
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 37 42 48 51 56 68 74 84 96 102 111 112 119 136 148 168 204 222 224 238 259 272 296 311 336 357 408 444 476 518 544 592 622 629 672 714 777 816 888 933 952 1036 1184 1244 1258 1428 1554 1632 1776 1866 1887 1904 2072 2177 2488 2516 2856 3108 3552 3732 3774 3808 4144 4354 4403 4976 5032 5287 5712 6216 6531 7464 7548 8288 8708 8806 9952 10064 10574 11424 11507 12432 13062 13209 14928 15096 15861 17416 17612 20128 21148 23014 24864 26124 26418 29856 30192 31722 34521 34832 35224 37009 42296 46028 52248 52836 60384 63444 69042 69664 70448 74018 80549 84592 92056 104496 105672 111027 126888 138084 140896 148036 161098 169184 184112 195619 208992 211344 222054 241647 253776 276168 296072 322196 368224 391238 422688 444108 483294 507552 552336 586857 592144 644392 782476 888216 966588 1104672 1173714 1184288 1288784 1369333 1564952 1776432 1933176 2347428 2577568 2738666 3129904 3552864 3866352 4107999 4694856 5477332 6259808 7732704 8215998 9389712 10954664 16431996 18779424 21909328 32863992 43818656 65727984 131455968
- Sum of all divisors σ(n): 430230528
- Sum of proper divisors (its aliquot sum) s(n): 298774560
- 131455968 is an abundant number, because the sum of its proper divisors (298774560) is greater than itself. Its abundance is 167318592
Bases of 131455968
- Binary: 1111101010111011011111000002
- Hexadecimal: 0x7D5DBE0
- Base-36: 269K2O
Squares and roots of 131455968
- 131455968 squared (1314559682) is 17280671522817024
- 131455968 cubed (1314559683) is 2271647402721945976799232
-
The
square root of 131455968 is 11465.4248940019 -
The
cube root of 131455968 is 508.4638745511
Scales and comparisons
How big is 131455968?- 131,455,968 seconds is equal to 4 years, 9 weeks, 2 days, 11 hours, 32 minutes, 48 seconds.
-
To count from 1 to 131,455,968 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 131455968 cubic inches would be around 42.4 feet tall.
Recreational maths with 131455968
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 131455968 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 131455968 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/131455968/
Chicago style:
Numbermatics. 2024. "Number 131455968 - Facts about the integer". https://numbermatics.com/n/131455968/
The information we have on file for 131455968 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 131455968, math, Factors of 131455968, curriculum, school, college, exams, university, Prime factorization of 131455968, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one million, four hundred fifty-five thousand, nine hundred sixty-eight.