972157920
972,157,920 is an even composite number composed of six prime numbers multiplied together.
972157920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 972157920:
25 × 3 × 5 × 17 × 109 × 1093
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 109 × 1093)See below for interesting mathematical facts about the number 972157920 from the Numbermatics database.
Names of 972157920
- Cardinal: 972157920 can be written as Nine hundred seventy-two million, one hundred fifty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.7215792 × 108
Factors of 972157920
Divisors of 972157920
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 109 120 136 160 170 204 218 240 255 272 327 340 408 436 480 510 544 545 654 680 816 872 1020 1090 1093 1308 1360 1632 1635 1744 1853 2040 2180 2186 2616 2720 3270 3279 3488 3706 4080 4360 4372 5232 5465 5559 6540 6558 7412 8160 8720 8744 9265 10464 10930 11118 13080 13116 14824 16395 17440 17488 18530 18581 21860 22236 26160 26232 27795 29648 32790 34976 37060 37162 43720 44472 52320 52464 55590 55743 59296 65580 74120 74324 87440 88944 92905 104928 111180 111486 119137 131160 148240 148648 174880 177888 185810 222360 222972 238274 262320 278715 296480 297296 357411 371620 444720 445944 476548 524640 557430 594592 595685 714822 743240 889440 891888 953096 1114860 1191370 1429644 1486480 1783776 1787055 1906192 2025329 2229720 2382740 2859288 2972960 3574110 3812384 4050658 4459440 4765480 5718576 6075987 7148220 8101316 8918880 9530960 10126645 11437152 12151974 14296440 16202632 19061920 20253290 24303948 28592880 30379935 32405264 40506580 48607896 57185760 60759870 64810528 81013160 97215792 121519740 162026320 194431584 243039480 324052640 486078960 972157920
- Sum of all divisors σ(n): 3275173440
- Sum of proper divisors (its aliquot sum) s(n): 2303015520
- 972157920 is an abundant number, because the sum of its proper divisors (2303015520) is greater than itself. Its abundance is 1330857600
Bases of 972157920
- Binary: 1110011111000111110011111000002
- Hexadecimal: 0x39F1F3E0
- Base-36: G2SPUO
Squares and roots of 972157920
- 972157920 squared (9721579202) is 945091021418726400
- 972157920 cubed (9721579203) is 918777721593104506073088000
-
The
square root of 972157920 is 31179.4470765599 -
The
cube root of 972157920 is 990.6318178899
Scales and comparisons
How big is 972157920?- 972,157,920 seconds is equal to 30 years, 47 weeks, 2 days, 19 hours, 52 minutes.
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To count from 1 to 972,157,920 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 972157920 cubic inches would be around 82.6 feet tall.
Recreational maths with 972157920
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