972098680
972,098,680 is an even composite number composed of six prime numbers multiplied together.
972098680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 972098680:
23 × 5 × 7 × 23 × 271 × 557
(2 × 2 × 2 × 5 × 7 × 23 × 271 × 557)See below for interesting mathematical facts about the number 972098680 from the Numbermatics database.
Names of 972098680
- Cardinal: 972098680 can be written as Nine hundred seventy-two million, ninety-eight thousand, six hundred eighty.
Scientific notation
- Scientific notation: 9.7209868 × 108
Factors of 972098680
Divisors of 972098680
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 271 280 322 460 542 557 644 805 920 1084 1114 1288 1355 1610 1897 2168 2228 2710 2785 3220 3794 3899 4456 5420 5570 6233 6440 7588 7798 9485 10840 11140 12466 12811 15176 15596 18970 19495 22280 24932 25622 31165 31192 37940 38990 43631 49864 51244 62330 64055 75880 77980 87262 89677 102488 124660 128110 150947 155960 174524 179354 218155 249320 256220 301894 349048 358708 436310 448385 512440 603788 717416 754735 872620 896770 1056629 1207576 1509470 1745240 1793540 2113258 3018940 3471781 3587080 4226516 5283145 6037880 6943562 8453032 10566290 13887124 17358905 21132580 24302467 27774248 34717810 42265160 48604934 69435620 97209868 121512335 138871240 194419736 243024670 486049340 972098680
- Sum of all divisors σ(n): 2622689280
- Sum of proper divisors (its aliquot sum) s(n): 1650590600
- 972098680 is an abundant number, because the sum of its proper divisors (1650590600) is greater than itself. Its abundance is 678491920
Bases of 972098680
- Binary: 1110011111000100001100011110002
- Hexadecimal: 0x39F10C78
- Base-36: G2RG54
Squares and roots of 972098680
- 972098680 squared (9720986802) is 944975843657742400
- 972098680 cubed (9720986803) is 918609770251577758820032000
-
The
square root of 972098680 is 31178.4970773127 -
The
cube root of 972098680 is 990.6116955691
Scales and comparisons
How big is 972098680?- 972,098,680 seconds is equal to 30 years, 47 weeks, 2 days, 3 hours, 24 minutes, 40 seconds.
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To count from 1 to 972,098,680 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 972098680 cubic inches would be around 82.6 feet tall.
Recreational maths with 972098680
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