398022144
398,022,144 is an even composite number composed of five prime numbers multiplied together.
398022144 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 398022144:
29 × 3 × 13 × 31 × 643
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 31 × 643)See below for interesting mathematical facts about the number 398022144 from the Numbermatics database.
Names of 398022144
- Cardinal: 398022144 can be written as Three hundred ninety-eight million, twenty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 3.98022144 × 108
Factors of 398022144
Divisors of 398022144
- Number of divisors d(n): 160
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 256 312 372 384 403 416 496 512 624 643 744 768 806 832 992 1209 1248 1286 1488 1536 1612 1664 1929 1984 2418 2496 2572 2976 3224 3328 3858 3968 4836 4992 5144 5952 6448 6656 7716 7936 8359 9672 9984 10288 11904 12896 15432 15872 16718 19344 19933 19968 20576 23808 25077 25792 30864 33436 38688 39866 41152 47616 50154 51584 59799 61728 66872 77376 79732 82304 100308 103168 119598 123456 133744 154752 159464 164608 200616 206336 239196 246912 259129 267488 309504 318928 329216 401232 478392 493824 518258 534976 619008 637856 777387 802464 956784 987648 1036516 1069952 1275712 1554774 1604928 1913568 2073032 2139904 2551424 3109548 3209856 3827136 4146064 4279808 5102848 6219096 6419712 7654272 8292128 10205696 12438192 12839424 15308544 16584256 24876384 30617088 33168512 49752768 66337024 99505536 132674048 199011072 398022144
- Sum of all divisors σ(n): 1180591104
- Sum of proper divisors (its aliquot sum) s(n): 782568960
- 398022144 is an abundant number, because the sum of its proper divisors (782568960) is greater than itself. Its abundance is 384546816
Bases of 398022144
- Binary: 101111011100101010110000000002
- Hexadecimal: 0x17B95600
- Base-36: 6KYZUO
Squares and roots of 398022144
- 398022144 squared (3980221442) is 158421627114356736
- 398022144 cubed (3980221443) is 63055315680024801243561984
-
The
square root of 398022144 is 19950.4923247523 -
The
cube root of 398022144 is 735.5898786309
Scales and comparisons
How big is 398022144?- 398,022,144 seconds is equal to 12 years, 34 weeks, 17 hours, 42 minutes, 24 seconds.
-
To count from 1 to 398,022,144 would take you about eighteen 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 398022144 cubic inches would be around 61.3 feet tall.
Recreational maths with 398022144
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 398022144 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 398022144 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/398022144/
Chicago style:
Numbermatics. 2024. "Number 398022144 - Facts about the integer". https://numbermatics.com/n/398022144/
The information we have on file for 398022144 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 398022144, math, Factors of 398022144, curriculum, school, college, exams, university, Prime factorization of 398022144, STEM, science, technology, engineering, physics, economics, calculator, three hundred ninety-eight million, twenty-two thousand, one hundred forty-four.