813028320
813,028,320 is an even composite number composed of six prime numbers multiplied together.
813028320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 813028320:
25 × 33 × 5 × 13 × 31 × 467
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 31 × 467)See below for interesting mathematical facts about the number 813028320 from the Numbermatics database.
Names of 813028320
- Cardinal: 813028320 can be written as Eight hundred thirteen million, twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 8.1302832 × 108
Factors of 813028320
Divisors of 813028320
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 31 32 36 39 40 45 48 52 54 60 62 65 72 78 80 90 93 96 104 108 117 120 124 130 135 144 155 156 160 180 186 195 208 216 234 240 248 260 270 279 288 310 312 351 360 372 390 403 416 432 465 467 468 480 496 520 540 558 585 620 624 702 720 744 780 806 837 864 930 934 936 992 1040 1080 1116 1170 1209 1240 1248 1395 1401 1404 1440 1488 1560 1612 1674 1755 1860 1868 1872 2015 2080 2160 2232 2335 2340 2418 2480 2790 2802 2808 2976 3120 3224 3348 3510 3627 3720 3736 3744 4030 4185 4203 4320 4464 4670 4680 4836 4960 5580 5604 5616 6045 6071 6240 6448 6696 7005 7020 7254 7440 7472 8060 8370 8406 8928 9340 9360 9672 10881 11160 11208 11232 12090 12142 12609 12896 13392 14010 14040 14477 14508 14880 14944 16120 16740 16812 18135 18213 18680 18720 19344 21015 21762 22320 22416 24180 24284 25218 26784 28020 28080 28954 29016 30355 32240 33480 33624 36270 36426 37360 38688 42030 43431 43524 44640 44832 48360 48568 50436 54405 54639 56040 56160 57908 58032 60710 63045 64480 66960 67248 72385 72540 72852 74720 84060 86862 87048 91065 96720 97136 100872 108810 109278 112080 115816 116064 121420 126090 130293 133920 134496 144770 145080 145704 163917 168120 173724 174096 182130 188201 193440 194272 201744 217155 217620 218556 224160 231632 242840 252180 260586 273195 289540 290160 291408 327834 336240 347448 348192 364260 376402 390879 403488 434310 435240 437112 463264 485680 504360 521172 546390 564603 579080 580320 582816 651465 655668 672480 694896 728520 752804 781758 819585 868620 870480 874224 941005 971360 1008720 1042344 1092780 1129206 1158160 1302930 1311336 1389792 1457040 1505608 1563516 1639170 1693809 1737240 1740960 1748448 1882010 1954395 2017440 2084688 2185560 2258412 2316320 2605860 2622672 2823015 2914080 3011216 3127032 3278340 3387618 3474480 3764020 3908790 4169376 4371120 4516824 5081427 5211720 5245344 5646030 6022432 6254064 6556680 6775236 6948960 7528040 7817580 8469045 8742240 9033648 10162854 10423440 11292060 12508128 13113360 13550472 15056080 15635160 16938090 18067296 20325708 20846880 22584120 25407135 26226720 27100944 30112160 31270320 33876180 40651416 45168240 50814270 54201888 62540640 67752360 81302832 90336480 101628540 135504720 162605664 203257080 271009440 406514160 813028320
- Sum of all divisors σ(n): 3170119680
- Sum of proper divisors (its aliquot sum) s(n): 2357091360
- 813028320 is an abundant number, because the sum of its proper divisors (2357091360) is greater than itself. Its abundance is 1544063040
Bases of 813028320
- Binary: 1100000111010111010011111000002
- Hexadecimal: 0x3075D3E0
- Base-36: DG20O0
Squares and roots of 813028320
- 813028320 squared (8130283202) is 661015049122022400
- 813028320 cubed (8130283203) is 537423954882395346874368000
-
The
square root of 813028320 is 28513.6514673237 -
The
cube root of 813028320 is 933.3299977205
Scales and comparisons
How big is 813028320?- 813,028,320 seconds is equal to 25 years, 44 weeks, 2 days, 1 hour, 12 minutes.
-
To count from 1 to 813,028,320 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 813028320 cubic inches would be around 77.8 feet tall.
Recreational maths with 813028320
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 813028320 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
APA style:
Numbermatics. (2024). Number 813028320 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/813028320/
Chicago style:
Numbermatics. 2024. "Number 813028320 - Facts about the integer". https://numbermatics.com/n/813028320/
The information we have on file for 813028320 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 813028320, math, Factors of 813028320, curriculum, school, college, exams, university, Prime factorization of 813028320, STEM, science, technology, engineering, physics, economics, calculator, eight hundred thirteen million, twenty-eight thousand, three hundred twenty.