972948672
972,948,672 is an even composite number composed of four prime numbers multiplied together.
972948672 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 972948672:
26 × 35 × 73 × 857
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 73 × 857)See below for interesting mathematical facts about the number 972948672 from the Numbermatics database.
Names of 972948672
- Cardinal: 972948672 can be written as Nine hundred seventy-two million, nine hundred forty-eight thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 9.72948672 × 108
Factors of 972948672
Divisors of 972948672
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 144 146 162 192 216 219 243 288 292 324 432 438 486 576 584 648 657 857 864 876 972 1168 1296 1314 1714 1728 1752 1944 1971 2336 2571 2592 2628 3428 3504 3888 3942 4672 5142 5184 5256 5913 6856 7008 7713 7776 7884 10284 10512 11826 13712 14016 15426 15552 15768 17739 20568 21024 23139 23652 27424 30852 31536 35478 41136 42048 46278 47304 54848 61704 62561 63072 69417 70956 82272 92556 94608 123408 125122 126144 138834 141912 164544 185112 187683 189216 208251 246816 250244 277668 283824 370224 375366 378432 416502 493632 500488 555336 563049 567648 740448 750732 833004 1000976 1110672 1126098 1135296 1480896 1501464 1666008 1689147 2001952 2221344 2252196 3002928 3332016 3378294 4003904 4442688 4504392 5067441 6005856 6664032 6756588 9008784 10134882 12011712 13328064 13513176 15202323 18017568 20269764 27026352 30404646 36035136 40539528 54052704 60809292 81079056 108105408 121618584 162158112 243237168 324316224 486474336 972948672
- Sum of all divisors σ(n): 2935108176
- Sum of proper divisors (its aliquot sum) s(n): 1962159504
- 972948672 is an abundant number, because the sum of its proper divisors (1962159504) is greater than itself. Its abundance is 989210832
Bases of 972948672
- Binary: 1110011111111000000100110000002
- Hexadecimal: 0x39FE04C0
- Base-36: G39O00
Squares and roots of 972948672
- 972948672 squared (9729486722) is 946629118346563584
- 972948672 cubed (9729486723) is 921021543571819874816360448
-
The
square root of 972948672 is 31192.1251600465 -
The
cube root of 972948672 is 990.9003379801
Scales and comparisons
How big is 972948672?- 972,948,672 seconds is equal to 30 years, 48 weeks, 4 days, 23 hours, 31 minutes, 12 seconds.
-
To count from 1 to 972,948,672 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 972948672 cubic inches would be around 82.6 feet tall.
Recreational maths with 972948672
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