828132096
828,132,096 is an even composite number composed of five prime numbers multiplied together.
828132096 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 828132096:
28 × 3 × 11 × 61 × 1607
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 61 × 1607)See below for interesting mathematical facts about the number 828132096 from the Numbermatics database.
Names of 828132096
- Cardinal: 828132096 can be written as Eight hundred twenty-eight million, one hundred thirty-two thousand and ninety-six.
Scientific notation
- Scientific notation: 8.28132096 × 108
Factors of 828132096
Divisors of 828132096
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 128 132 176 183 192 244 256 264 352 366 384 488 528 671 704 732 768 976 1056 1342 1408 1464 1607 1952 2013 2112 2684 2816 2928 3214 3904 4026 4224 4821 5368 5856 6428 7808 8052 8448 9642 10736 11712 12856 15616 16104 17677 19284 21472 23424 25712 32208 35354 38568 42944 46848 51424 53031 64416 70708 77136 85888 98027 102848 106062 128832 141416 154272 171776 196054 205696 212124 257664 282832 294081 308544 392108 411392 424248 515328 565664 588162 617088 784216 848496 1078297 1131328 1176324 1234176 1568432 1696992 2156594 2262656 2352648 3136864 3234891 3393984 4313188 4525312 4705296 6273728 6469782 6787968 8626376 9410592 12547456 12939564 13575936 17252752 18821184 25094912 25879128 34505504 37642368 51758256 69011008 75284736 103516512 138022016 207033024 276044032 414066048 828132096
- Sum of all divisors σ(n): 2445343488
- Sum of proper divisors (its aliquot sum) s(n): 1617211392
- 828132096 is an abundant number, because the sum of its proper divisors (1617211392) is greater than itself. Its abundance is 789079296
Bases of 828132096
- Binary: 1100010101110001001011000000002
- Hexadecimal: 0x315C4B00
- Base-36: DP1QTC
Squares and roots of 828132096
- 828132096 squared (8281320962) is 685802768425353216
- 828132096 cubed (8281320963) is 567935284058690378306420736
-
The
square root of 828132096 is 28777.2843750067 -
The
cube root of 828132096 is 939.0741207719
Scales and comparisons
How big is 828132096?- 828,132,096 seconds is equal to 26 years, 17 weeks, 1 day, 20 hours, 41 minutes, 36 seconds.
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To count from 1 to 828,132,096 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 828132096 cubic inches would be around 78.3 feet tall.
Recreational maths with 828132096
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