398163968
398,163,968 is an even composite number composed of three prime numbers multiplied together.
398163968 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 398163968:
215 × 29 × 419
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 29 × 419)See below for interesting mathematical facts about the number 398163968 from the Numbermatics database.
Names of 398163968
- Cardinal: 398163968 can be written as Three hundred ninety-eight million, one hundred sixty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.98163968 × 108
Factors of 398163968
Divisors of 398163968
- Number of divisors d(n): 64
-
Complete list of divisors:
1 2 4 8 16 29 32 58 64 116 128 232 256 419 464 512 838 928 1024 1676 1856 2048 3352 3712 4096 6704 7424 8192 12151 13408 14848 16384 24302 26816 29696 32768 48604 53632 59392 97208 107264 118784 194416 214528 237568 388832 429056 475136 777664 858112 950272 1555328 1716224 3110656 3432448 6221312 6864896 12442624 13729792 24885248 49770496 99540992 199081984 398163968
- Sum of all divisors σ(n): 825741000
- Sum of proper divisors (its aliquot sum) s(n): 427577032
- 398163968 is an abundant number, because the sum of its proper divisors (427577032) is greater than itself. Its abundance is 29413064
Bases of 398163968
- Binary: 101111011101110000000000000002
- Hexadecimal: 0x17BB8000
- Base-36: 6L21A8
Squares and roots of 398163968
- 398163968 squared (3981639682) is 158534545413505024
- 398163968 cubed (3981639683) is 63122743666917361143775232
-
The
square root of 398163968 is 19954.0464066815 -
The
cube root of 398163968 is 735.6772371793
Scales and comparisons
How big is 398163968?- 398,163,968 seconds is equal to 12 years, 34 weeks, 2 days, 9 hours, 6 minutes, 8 seconds.
-
To count from 1 to 398,163,968 would take you about eighteen 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 398163968 cubic inches would be around 61.3 feet tall.
Recreational maths with 398163968
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The information we have on file for 398163968 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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