813105216
813,105,216 is an even composite number composed of five prime numbers multiplied together.
813105216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 813105216:
26 × 35 × 72 × 11 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 97)See below for interesting mathematical facts about the number 813105216 from the Numbermatics database.
Names of 813105216
- Cardinal: 813105216 can be written as Eight hundred thirteen million, one hundred five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 8.13105216 × 108
Factors of 813105216
Divisors of 813105216
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 64 66 72 77 81 84 88 96 97 98 99 108 112 126 132 144 147 154 162 168 176 189 192 194 196 198 216 224 231 243 252 264 288 291 294 297 308 324 336 352 378 388 392 396 432 441 448 462 486 504 528 539 567 576 582 588 594 616 648 672 679 693 704 756 776 784 792 864 873 882 891 924 972 1008 1056 1067 1078 1134 1164 1176 1188 1232 1296 1323 1344 1358 1386 1512 1552 1568 1584 1617 1701 1728 1746 1764 1782 1848 1944 2016 2037 2079 2112 2134 2156 2268 2328 2352 2376 2464 2592 2619 2646 2673 2716 2772 3024 3104 3136 3168 3201 3234 3402 3492 3528 3564 3696 3888 3969 4032 4074 4158 4268 4312 4536 4656 4704 4752 4753 4851 4928 5184 5238 5292 5346 5432 5544 6048 6111 6208 6237 6336 6402 6468 6804 6984 7056 7128 7392 7469 7776 7857 7938 8148 8316 8536 8624 9072 9312 9408 9504 9506 9603 9702 10476 10584 10692 10864 11088 11907 12096 12222 12474 12804 12936 13608 13968 14112 14256 14259 14553 14784 14938 15552 15714 15876 16296 16632 17072 17248 18144 18333 18624 18711 19008 19012 19206 19404 20952 21168 21384 21728 22176 22407 23571 23814 24444 24948 25608 25872 27216 27936 28224 28512 28518 28809 29106 29876 31428 31752 32592 33264 34144 34496 36288 36666 37422 38024 38412 38808 41904 42336 42768 42777 43456 43659 44352 44814 47142 47628 48888 49896 51216 51744 52283 54432 54999 55872 57024 57036 57618 58212 59752 62856 63504 65184 66528 67221 68288 73332 74844 76048 76824 77616 83808 84672 85536 85554 86427 87318 89628 94284 95256 97776 99792 102432 103488 104566 108864 109998 114072 115236 116424 119504 125712 127008 128331 130368 130977 133056 134442 146664 149688 152096 153648 155232 156849 164997 167616 171072 171108 172854 174636 179256 188568 190512 195552 199584 201663 204864 209132 219996 228144 230472 232848 239008 251424 254016 256662 259281 261954 268884 293328 299376 304192 307296 310464 313698 329994 342216 345708 349272 358512 377136 381024 384993 391104 399168 403326 418264 439992 456288 460944 465696 470547 478016 502848 513324 518562 523908 537768 586656 598752 604989 614592 627396 659988 684432 691416 698544 717024 754272 762048 769986 806652 836528 879984 912576 921888 931392 941094 1026648 1037124 1047816 1075536 1154979 1173312 1197504 1209978 1254792 1319976 1368864 1382832 1397088 1411641 1434048 1508544 1539972 1613304 1673056 1759968 1814967 1843776 1882188 2053296 2074248 2095632 2151072 2309958 2419956 2509584 2639952 2737728 2765664 2794176 2823282 3079944 3226608 3346112 3519936 3629934 3764376 4106592 4148496 4191264 4234923 4302144 4619916 4839912 5019168 5279904 5531328 5646564 6159888 6453216 7259868 7528752 8213184 8296992 8382528 8469846 9239832 9679824 10038336 10559808 11293128 12319776 12704769 12906432 14519736 15057504 16593984 16939692 18479664 19359648 22586256 24639552 25409538 29039472 30115008 33879384 36959328 38719296 45172512 50819076 58078944 67758768 73918656 90345024 101638152 116157888 135517536 203276304 271035072 406552608 813105216
- Sum of all divisors σ(n): 3098755296
- Sum of proper divisors (its aliquot sum) s(n): 2285650080
- 813105216 is an abundant number, because the sum of its proper divisors (2285650080) is greater than itself. Its abundance is 1472544864
Bases of 813105216
- Binary: 1100000111011100000000010000002
- Hexadecimal: 0x30770040
- Base-36: DG3O00
Squares and roots of 813105216
- 813105216 squared (8131052162) is 661140092286406656
- 813105216 cubed (8131052163) is 537576457544798617890717696
-
The
square root of 813105216 is 28514.9998421883 -
The
cube root of 813105216 is 933.3594214931
Scales and comparisons
How big is 813105216?- 813,105,216 seconds is equal to 25 years, 44 weeks, 2 days, 22 hours, 33 minutes, 36 seconds.
-
To count from 1 to 813,105,216 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 813105216 cubic inches would be around 77.8 feet tall.
Recreational maths with 813105216
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 813105216 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 813105216 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/813105216/
Chicago style:
Numbermatics. 2024. "Number 813105216 - Facts about the integer". https://numbermatics.com/n/813105216/
The information we have on file for 813105216 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 813105216, math, Factors of 813105216, curriculum, school, college, exams, university, Prime factorization of 813105216, STEM, science, technology, engineering, physics, economics, calculator, eight hundred thirteen million, one hundred five thousand, two hundred sixteen.