14800968
14,800,968 is an even composite number composed of five prime numbers multiplied together.
14800968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 14800968:
23 × 34 × 7 × 13 × 251
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 251)See below for interesting mathematical facts about the number 14800968 from the Numbermatics database.
Names of 14800968
- Cardinal: 14800968 can be written as Fourteen million, eight hundred thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.4800968 × 107
Factors of 14800968
Divisors of 14800968
- Number of divisors d(n): 160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 251 252 273 312 324 351 364 378 468 502 504 546 567 648 702 728 753 756 819 936 1004 1053 1092 1134 1404 1506 1512 1638 1757 2008 2106 2184 2259 2268 2457 2808 3012 3263 3276 3514 4212 4518 4536 4914 5271 6024 6526 6552 6777 7028 7371 8424 9036 9789 9828 10542 13052 13554 14056 14742 15813 18072 19578 19656 20331 21084 22841 26104 27108 29367 29484 31626 39156 40662 42168 45682 47439 54216 58734 58968 63252 68523 78312 81324 88101 91364 94878 117468 126504 137046 142317 162648 176202 182728 189756 205569 234936 264303 274092 284634 352404 379512 411138 528606 548184 569268 616707 704808 822276 1057212 1138536 1233414 1644552 1850121 2114424 2466828 3700242 4933656 7400484 14800968
- Sum of all divisors σ(n): 51226560
- Sum of proper divisors (its aliquot sum) s(n): 36425592
- 14800968 is an abundant number, because the sum of its proper divisors (36425592) is greater than itself. Its abundance is 21624624
Bases of 14800968
- Binary: 1110000111011000010010002
- Hexadecimal: 0xE1D848
- Base-36: 8T8I0
Squares and roots of 14800968
- 14800968 squared (148009682) is 219068653737024
- 14800968 cubed (148009683) is 3242428133764772639232
-
The
square root of 14800968 is 3847.2026200865 -
The
cube root of 14800968 is 245.5255579045
Scales and comparisons
How big is 14800968?- 14,800,968 seconds is equal to 24 weeks, 3 days, 7 hours, 22 minutes, 48 seconds.
-
To count from 1 to 14,800,968 would take you about thirty-six weeks!
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 14800968 cubic inches would be around 20.5 feet tall.
Recreational maths with 14800968
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 14800968 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.
APA style:
Numbermatics. (2024). Number 14800968 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/14800968/
Chicago style:
Numbermatics. 2024. "Number 14800968 - Facts about the integer". https://numbermatics.com/n/14800968/
The information we have on file for 14800968 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 14800968, math, Factors of 14800968, curriculum, school, college, exams, university, Prime factorization of 14800968, STEM, science, technology, engineering, physics, economics, calculator, fourteen million, eight hundred thousand, nine hundred sixty-eight.