997132864
997,132,864 is an even composite number composed of five prime numbers multiplied together.
997132864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 997132864:
26 × 7 × 13 × 313 × 547
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 313 × 547)See below for interesting mathematical facts about the number 997132864 from the Numbermatics database.
Names of 997132864
- Cardinal: 997132864 can be written as Nine hundred ninety-seven million, one hundred thirty-two thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 9.97132864 × 108
Factors of 997132864
Divisors of 997132864
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 313 364 416 448 547 626 728 832 1094 1252 1456 2188 2191 2504 2912 3829 4069 4376 4382 5008 5824 7111 7658 8138 8752 8764 10016 14222 15316 16276 17504 17528 20032 28444 28483 30632 32552 35008 35056 49777 56888 56966 61264 65104 70112 99554 113776 113932 122528 130208 140224 171211 199108 227552 227864 245056 260416 342422 398216 455104 455728 684844 796432 911456 1198477 1369688 1592864 1822912 2225743 2396954 2739376 3185728 4451486 4793908 5478752 8902972 9587816 10957504 15580201 17805944 19175632 31160402 35611888 38351264 62320804 71223776 76702528 124641608 142447552 249283216 498566432 997132864
- Sum of all divisors σ(n): 2447552128
- Sum of proper divisors (its aliquot sum) s(n): 1450419264
- 997132864 is an abundant number, because the sum of its proper divisors (1450419264) is greater than itself. Its abundance is 453286400
Bases of 997132864
- Binary: 1110110110111100001010010000002
- Hexadecimal: 0x3B6F0A40
- Base-36: GHO0N4
Squares and roots of 997132864
- 997132864 squared (9971328642) is 994273948468842496
- 997132864 cubed (9971328643) is 991423229837325332801388544
-
The
square root of 997132864 is 31577.4106601539 -
The
cube root of 997132864 is 999.0433731569
Scales and comparisons
How big is 997132864?- 997,132,864 seconds is equal to 31 years, 36 weeks, 4 days, 21 hours, 21 minutes, 4 seconds.
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To count from 1 to 997,132,864 would take you about forty-seven 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 997132864 cubic inches would be around 83.3 feet tall.
Recreational maths with 997132864
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