972871020
972,871,020 is an even composite number composed of six prime numbers multiplied together.
972871020 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 972871020:
22 × 33 × 5 × 11 × 23 × 7121
(2 × 2 × 3 × 3 × 3 × 5 × 11 × 23 × 7121)See below for interesting mathematical facts about the number 972871020 from the Numbermatics database.
Names of 972871020
- Cardinal: 972871020 can be written as Nine hundred seventy-two million, eight hundred seventy-one thousand and twenty.
Scientific notation
- Scientific notation: 9.7287102 × 108
Factors of 972871020
Divisors of 972871020
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 27 30 33 36 44 45 46 54 55 60 66 69 90 92 99 108 110 115 132 135 138 165 180 198 207 220 230 253 270 276 297 330 345 396 414 460 495 506 540 594 621 660 690 759 828 990 1012 1035 1188 1242 1265 1380 1485 1518 1980 2070 2277 2484 2530 2970 3036 3105 3795 4140 4554 5060 5940 6210 6831 7121 7590 9108 11385 12420 13662 14242 15180 21363 22770 27324 28484 34155 35605 42726 45540 64089 68310 71210 78331 85452 106815 128178 136620 142420 156662 163783 192267 213630 234993 256356 313324 320445 327566 384534 391655 427260 469986 491349 640890 655132 704979 769068 783310 818915 939972 961335 982698 1174965 1281780 1409958 1474047 1566620 1637830 1801613 1922670 1965396 2114937 2349930 2456745 2819916 2948094 3275660 3524895 3603226 3845340 4229874 4422141 4699860 4913490 5404839 5896188 7049790 7206452 7370235 8459748 8844282 9008065 9826980 10574685 10809678 14099580 14740470 16214517 17688564 18016130 21149370 21619356 22110705 27024195 29480940 32429034 36032260 42298740 44221410 48643551 54048390 64858068 81072585 88442820 97287102 108096780 162145170 194574204 243217755 324290340 486435510 972871020
- Sum of all divisors σ(n): 3445908480
- Sum of proper divisors (its aliquot sum) s(n): 2473037460
- 972871020 is an abundant number, because the sum of its proper divisors (2473037460) is greater than itself. Its abundance is 1500166440
Bases of 972871020
- Binary: 1110011111110011010101011011002
- Hexadecimal: 0x39FCD56C
- Base-36: G38030
Squares and roots of 972871020
- 972871020 squared (9728710202) is 946478021555840400
- 972871020 cubed (9728710203) is 920801038238612436905208000
-
The
square root of 972871020 is 31190.8803979623 -
The
cube root of 972871020 is 990.8739756987
Scales and comparisons
How big is 972871020?- 972,871,020 seconds is equal to 30 years, 48 weeks, 4 days, 1 hour, 57 minutes.
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To count from 1 to 972,871,020 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 972871020 cubic inches would be around 82.6 feet tall.
Recreational maths with 972871020
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