968427460
968,427,460 is an even composite number composed of six prime numbers multiplied together.
968427460 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 968427460:
22 × 5 × 7 × 11 × 132 × 612
(2 × 2 × 5 × 7 × 11 × 13 × 13 × 61 × 61)See below for interesting mathematical facts about the number 968427460 from the Numbermatics database.
Names of 968427460
- Cardinal: 968427460 can be written as Nine hundred sixty-eight million, four hundred twenty-seven thousand, four hundred sixty.
Scientific notation
- Scientific notation: 9.6842746 × 108
Factors of 968427460
Divisors of 968427460
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 61 65 70 77 91 110 122 130 140 143 154 169 182 220 244 260 286 305 308 338 364 385 427 455 572 610 671 676 715 770 793 845 854 910 1001 1183 1220 1342 1430 1540 1586 1690 1708 1820 1859 2002 2135 2366 2684 2860 3172 3355 3380 3718 3721 3965 4004 4270 4697 4732 5005 5551 5915 6710 7436 7442 7930 8540 8723 9295 9394 10010 10309 11102 11830 13013 13420 14884 15860 17446 18590 18605 18788 20020 20618 22204 23485 23660 26026 26047 27755 34892 37180 37210 40931 41236 43615 46970 48373 51545 52052 52094 55510 61061 65065 72163 74420 81862 87230 93940 96746 103090 104188 111020 113399 122122 130130 130235 144326 163724 174460 193492 204655 206180 226798 241865 244244 260260 260470 286517 288652 305305 338611 360815 409310 453596 483730 520940 532103 566995 573034 610610 628849 677222 721630 793793 818620 967460 1064206 1133990 1146068 1221220 1257698 1354444 1432585 1443260 1587586 1693055 2128412 2267980 2515396 2660515 2865170 3144245 3175172 3386110 3724721 3968965 4401943 5321030 5730340 6288490 6772220 6917339 7449442 7937930 8803886 10642060 12576980 13834678 14898884 15875860 17607772 18623605 22009715 27669356 34586695 37247210 44019430 48421373 69173390 74494420 88038860 96842746 138346780 193685492 242106865 484213730 968427460
- Sum of all divisors σ(n): 2791309248
- Sum of proper divisors (its aliquot sum) s(n): 1822881788
- 968427460 is an abundant number, because the sum of its proper divisors (1822881788) is greater than itself. Its abundance is 854454328
Bases of 968427460
- Binary: 1110011011100100000111110001002
- Hexadecimal: 0x39B907C4
- Base-36: G0KRES
Squares and roots of 968427460
- 968427460 squared (9684274602) is 937851745282051600
- 968427460 cubed (9684274603) is 908241383540064214576936000
-
The
square root of 968427460 is 31119.5671563729 -
The
cube root of 968427460 is 989.3630770383
Scales and comparisons
How big is 968427460?- 968,427,460 seconds is equal to 30 years, 41 weeks, 1 day, 15 hours, 37 minutes, 40 seconds.
-
To count from 1 to 968,427,460 would take you about forty-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 968427460 cubic inches would be around 82.4 feet tall.
Recreational maths with 968427460
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 968427460 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
APA style:
Numbermatics. (2024). Number 968427460 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/968427460/
Chicago style:
Numbermatics. 2024. "Number 968427460 - Facts about the integer". https://numbermatics.com/n/968427460/
The information we have on file for 968427460 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 968427460, math, Factors of 968427460, curriculum, school, college, exams, university, Prime factorization of 968427460, STEM, science, technology, engineering, physics, economics, calculator, nine hundred sixty-eight million, four hundred twenty-seven thousand, four hundred sixty.