972738816
972,738,816 is an even composite number composed of five prime numbers multiplied together.
972738816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 972738816:
28 × 3 × 7 × 23 × 7867
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 23 × 7867)See below for interesting mathematical facts about the number 972738816 from the Numbermatics database.
Names of 972738816
- Cardinal: 972738816 can be written as Nine hundred seventy-two million, seven hundred thirty-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 9.72738816 × 108
Factors of 972738816
Divisors of 972738816
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7728 7867 8832 10304 15456 15734 17664 20608 23601 30912 31468 41216 47202 55069 61824 62936 94404 110138 123648 125872 165207 180941 188808 220276 251744 330414 361882 377616 440552 503488 542823 660828 723764 755232 881104 1006976 1085646 1266587 1321656 1447528 1510464 1762208 2013952 2171292 2533174 2643312 2895056 3020928 3524416 3799761 4342584 5066348 5286624 5790112 6041856 7048832 7599522 8685168 10132696 10573248 11580224 14097664 15199044 17370336 20265392 21146496 23160448 30398088 34740672 40530784 42292992 46320896 60796176 69481344 81061568 121592352 138962688 162123136 243184704 324246272 486369408 972738816
- Sum of all divisors σ(n): 3087780864
- Sum of proper divisors (its aliquot sum) s(n): 2115042048
- 972738816 is an abundant number, because the sum of its proper divisors (2115042048) is greater than itself. Its abundance is 1142303232
Bases of 972738816
- Binary: 1110011111101011010001000000002
- Hexadecimal: 0x39FAD100
- Base-36: G3562O
Squares and roots of 972738816
- 972738816 squared (9727388162) is 946220804153081856
- 972738816 cubed (9727388163) is 920425704706436727356522496
-
The
square root of 972738816 is 31188.7610526613 -
The
cube root of 972738816 is 990.8290901881
Scales and comparisons
How big is 972738816?- 972,738,816 seconds is equal to 30 years, 48 weeks, 2 days, 13 hours, 13 minutes, 36 seconds.
-
To count from 1 to 972,738,816 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 972738816 cubic inches would be around 82.6 feet tall.
Recreational maths with 972738816
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 972738816 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 972738816 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/972738816/
Chicago style:
Numbermatics. 2024. "Number 972738816 - Facts about the integer". https://numbermatics.com/n/972738816/
The information we have on file for 972738816 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 972738816, math, Factors of 972738816, curriculum, school, college, exams, university, Prime factorization of 972738816, STEM, science, technology, engineering, physics, economics, calculator, nine hundred seventy-two million, seven hundred thirty-eight thousand, eight hundred sixteen.