813325968
813,325,968 is an even composite number composed of six prime numbers multiplied together.
813325968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 813325968:
24 × 33 × 7 × 13 × 17 × 1217
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 17 × 1217)See below for interesting mathematical facts about the number 813325968 from the Numbermatics database.
Names of 813325968
- Cardinal: 813325968 can be written as Eight hundred thirteen million, three hundred twenty-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 8.13325968 × 108
Factors of 813325968
Divisors of 813325968
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 27 28 34 36 39 42 48 51 52 54 56 63 68 72 78 84 91 102 104 108 112 117 119 126 136 144 153 156 168 182 189 204 208 216 221 234 238 252 272 273 306 312 336 351 357 364 378 408 432 442 459 468 476 504 546 612 624 663 702 714 728 756 816 819 884 918 936 952 1008 1071 1092 1217 1224 1326 1404 1428 1456 1512 1547 1638 1768 1836 1872 1904 1989 2142 2184 2434 2448 2457 2652 2808 2856 3024 3094 3213 3276 3536 3651 3672 3978 4284 4368 4641 4868 4914 5304 5616 5712 5967 6188 6426 6552 7302 7344 7956 8519 8568 9282 9736 9828 10608 10953 11934 12376 12852 13104 13923 14604 15821 15912 17038 17136 18564 19472 19656 20689 21906 23868 24752 25557 25704 27846 29208 31642 31824 32859 34076 37128 39312 41378 41769 43812 47463 47736 51114 51408 55692 58416 62067 63284 65718 68152 74256 76671 82756 83538 87624 94926 95472 102228 110747 111384 124134 126568 131436 136304 142389 144823 153342 165512 167076 175248 186201 189852 204456 221494 222768 230013 248268 253136 262872 268957 284778 289646 306684 331024 332241 334152 372402 379704 408912 427167 434469 442988 460026 496536 525744 537914 558603 569556 579292 613368 664482 668304 744804 759408 806871 854334 868938 885976 920052 993072 996723 1075828 1117206 1139112 1158584 1226736 1303407 1328964 1489608 1613742 1708668 1737876 1771952 1840104 1882699 1993446 2151656 2234412 2278224 2317168 2420613 2606814 2657928 2979216 2990169 3227484 3417336 3475752 3680208 3765398 3910221 3986892 4303312 4468824 4841226 5213628 5315856 5648097 5980338 6454968 6834672 6951504 7261839 7530796 7820442 7973784 8937648 9682452 10427256 11296194 11960676 12909936 14523678 15061592 15640884 15947568 16944291 19364904 20854512 22592388 23921352 29047356 30123184 31281768 33888582 38729808 45184776 47842704 50832873 58094712 62563536 67777164 90369552 101665746 116189424 135554328 203331492 271108656 406662984 813325968
- Sum of all divisors σ(n): 3044805120
- Sum of proper divisors (its aliquot sum) s(n): 2231479152
- 813325968 is an abundant number, because the sum of its proper divisors (2231479152) is greater than itself. Its abundance is 1418153184
Bases of 813325968
- Binary: 1100000111101001011110100100002
- Hexadecimal: 0x307A5E90
- Base-36: DG8EC0
Squares and roots of 813325968
- 813325968 squared (8133259682) is 661499130223137024
- 813325968 cubed (8133259683) is 538014420419890976041439232
-
The
square root of 813325968 is 28518.8703843613 -
The
cube root of 813325968 is 933.4438805567
Scales and comparisons
How big is 813325968?- 813,325,968 seconds is equal to 25 years, 44 weeks, 5 days, 11 hours, 52 minutes, 48 seconds.
-
To count from 1 to 813,325,968 would take you about thirty-eight 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 813325968 cubic inches would be around 77.8 feet tall.
Recreational maths with 813325968
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 813325968 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
APA style:
Numbermatics. (2024). Number 813325968 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/813325968/
Chicago style:
Numbermatics. 2024. "Number 813325968 - Facts about the integer". https://numbermatics.com/n/813325968/
The information we have on file for 813325968 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 813325968, math, Factors of 813325968, curriculum, school, college, exams, university, Prime factorization of 813325968, STEM, science, technology, engineering, physics, economics, calculator, eight hundred thirteen million, three hundred twenty-five thousand, nine hundred sixty-eight.