830947968
830,947,968 is an even composite number composed of five prime numbers multiplied together.
830947968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 830947968:
27 × 32 × 47 × 103 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 47 × 103 × 149)See below for interesting mathematical facts about the number 830947968 from the Numbermatics database.
Names of 830947968
- Cardinal: 830947968 can be written as Eight hundred thirty million, nine hundred forty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 8.30947968 × 108
Factors of 830947968
Divisors of 830947968
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 103 128 141 144 149 188 192 206 282 288 298 309 376 384 412 423 447 564 576 596 618 752 824 846 894 927 1128 1152 1192 1236 1341 1504 1648 1692 1788 1854 2256 2384 2472 2682 3008 3296 3384 3576 3708 4512 4768 4841 4944 5364 6016 6592 6768 7003 7152 7416 9024 9536 9682 9888 10728 13184 13536 14006 14304 14523 14832 15347 18048 19072 19364 19776 21009 21456 27072 28012 28608 29046 29664 30694 38728 39552 42018 42912 43569 46041 54144 56024 57216 58092 59328 61388 63027 77456 84036 85824 87138 92082 112048 116184 118656 122776 126054 138123 154912 168072 171648 174276 184164 224096 232368 245552 252108 276246 309824 336144 348552 368328 448192 464736 491104 504216 552492 619648 672288 697104 721309 736656 896384 929472 982208 1008432 1104984 1344576 1394208 1442618 1473312 1858944 1964416 2016864 2163927 2209968 2689152 2788416 2885236 2946624 4033728 4327854 4419936 5576832 5770472 5893248 6491781 8067456 8655708 8839872 11540944 12983562 17311416 17679744 23081888 25967124 34622832 46163776 51934248 69245664 92327552 103868496 138491328 207736992 276982656 415473984 830947968
- Sum of all divisors σ(n): 2482272000
- Sum of proper divisors (its aliquot sum) s(n): 1651324032
- 830947968 is an abundant number, because the sum of its proper divisors (1651324032) is greater than itself. Its abundance is 820376064
Bases of 830947968
- Binary: 1100011000011101000010100000002
- Hexadecimal: 0x31874280
- Base-36: DQQ3K0
Squares and roots of 830947968
- 830947968 squared (8309479682) is 690474525523329024
- 830947968 cubed (8309479683) is 573748403939374389088223232
-
The
square root of 830947968 is 28826.1681116307 -
The
cube root of 830947968 is 940.1372849135
Scales and comparisons
How big is 830947968?- 830,947,968 seconds is equal to 26 years, 21 weeks, 6 days, 10 hours, 52 minutes, 48 seconds.
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To count from 1 to 830,947,968 would take you about thirty-nine 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 830947968 cubic inches would be around 78.3 feet tall.
Recreational maths with 830947968
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The information we have on file for 830947968 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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