968871072
968,871,072 is an even composite number composed of five prime numbers multiplied together.
968871072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 968871072:
25 × 3 × 13 × 17 × 45667
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 17 × 45667)See below for interesting mathematical facts about the number 968871072 from the Numbermatics database.
Names of 968871072
- Cardinal: 968871072 can be written as Nine hundred sixty-eight million, eight hundred seventy-one thousand and seventy-two.
Scientific notation
- Scientific notation: 9.68871072 × 108
Factors of 968871072
Divisors of 968871072
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3536 5304 7072 10608 21216 45667 91334 137001 182668 274002 365336 548004 593671 730672 776339 1096008 1187342 1461344 1552678 1781013 2192016 2329017 2374684 3105356 3562026 4384032 4658034 4749368 6210712 7124052 9316068 9498736 10092407 12421424 14248104 18632136 18997472 20184814 24842848 28496208 30277221 37264272 40369628 56992416 60554442 74528544 80739256 121108884 161478512 242217768 322957024 484435536 968871072
- Sum of all divisors σ(n): 2900100672
- Sum of proper divisors (its aliquot sum) s(n): 1931229600
- 968871072 is an abundant number, because the sum of its proper divisors (1931229600) is greater than itself. Its abundance is 962358528
Bases of 968871072
- Binary: 1110011011111111001100101000002
- Hexadecimal: 0x39BFCCA0
- Base-36: G0U9PC
Squares and roots of 968871072
- 968871072 squared (9688710722) is 938711154158429184
- 968871072 cubed (9688710723) is 909490082227834541338165248
-
The
square root of 968871072 is 31126.6938816187 -
The
cube root of 968871072 is 989.5141213355
Scales and comparisons
How big is 968871072?- 968,871,072 seconds is equal to 30 years, 41 weeks, 6 days, 18 hours, 51 minutes, 12 seconds.
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To count from 1 to 968,871,072 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 968871072 cubic inches would be around 82.5 feet tall.
Recreational maths with 968871072
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