968139648
968,139,648 is an even composite number composed of four prime numbers multiplied together.
968139648 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 968139648:
27 × 33 × 72 × 5717
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 5717)See below for interesting mathematical facts about the number 968139648 from the Numbermatics database.
Names of 968139648
- Cardinal: 968139648 can be written as Nine hundred sixty-eight million, one hundred thirty-nine thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 9.68139648 × 108
Factors of 968139648
Divisors of 968139648
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 288 294 336 378 384 392 432 441 448 504 576 588 672 756 784 864 882 896 1008 1152 1176 1323 1344 1512 1568 1728 1764 2016 2352 2646 2688 3024 3136 3456 3528 4032 4704 5292 5717 6048 6272 7056 8064 9408 10584 11434 12096 14112 17151 18816 21168 22868 24192 28224 34302 40019 42336 45736 51453 56448 68604 80038 84672 91472 102906 120057 137208 154359 160076 169344 182944 205812 240114 274416 280133 308718 320152 360171 365888 411624 480228 548832 560266 617436 640304 720342 731776 823248 840399 960456 1080513 1097664 1120532 1234872 1280608 1440684 1646496 1680798 1920912 2161026 2195328 2241064 2469744 2521197 2561216 2881368 3292992 3361596 3841824 4322052 4482128 4939488 5042394 5122432 5762736 6585984 6723192 7563591 7683648 8644104 8964256 9878976 10084788 11525472 13446384 15127182 15367296 17288208 17928512 19757952 20169576 23050944 26892768 30254364 34576416 35857024 40339152 46101888 53785536 60508728 69152832 80678304 107571072 121017456 138305664 161356608 242034912 322713216 484069824 968139648
- Sum of all divisors σ(n): 3324445200
- Sum of proper divisors (its aliquot sum) s(n): 2356305552
- 968139648 is an abundant number, because the sum of its proper divisors (2356305552) is greater than itself. Its abundance is 1388165904
Bases of 968139648
- Binary: 1110011011010010100011100000002
- Hexadecimal: 0x39B4A380
- Base-36: G0ELC0
Squares and roots of 968139648
- 968139648 squared (9681396482) is 937294378029563904
- 968139648 cubed (9681396483) is 907431849217920931612065792
-
The
square root of 968139648 is 31114.9425196319 -
The
cube root of 968139648 is 989.2650560055
Scales and comparisons
How big is 968139648?- 968,139,648 seconds is equal to 30 years, 40 weeks, 5 days, 7 hours, 40 minutes, 48 seconds.
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To count from 1 to 968,139,648 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 968139648 cubic inches would be around 82.4 feet tall.
Recreational maths with 968139648
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The information we have on file for 968139648 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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