642948992
642,948,992 is an even composite number composed of four prime numbers multiplied together.
642948992 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 642948992:
27 × 72 × 23 × 4457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 23 × 4457)See below for interesting mathematical facts about the number 642948992 from the Numbermatics database.
Names of 642948992
- Cardinal: 642948992 can be written as Six hundred forty-two million, nine hundred forty-eight thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 6.42948992 × 108
Factors of 642948992
Divisors of 642948992
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 128 161 184 196 224 322 368 392 448 644 736 784 896 1127 1288 1472 1568 2254 2576 2944 3136 4457 4508 5152 6272 8914 9016 10304 17828 18032 20608 31199 35656 36064 62398 71312 72128 102511 124796 142624 144256 205022 218393 249592 285248 410044 436786 499184 570496 717577 820088 873572 998368 1435154 1640176 1747144 1996736 2870308 3280352 3494288 3993472 5023039 5740616 6560704 6988576 10046078 11481232 13121408 13977152 20092156 22962464 27954304 40184312 45924928 80368624 91849856 160737248 321474496 642948992
- Sum of all divisors σ(n): 1555128720
- Sum of proper divisors (its aliquot sum) s(n): 912179728
- 642948992 is an abundant number, because the sum of its proper divisors (912179728) is greater than itself. Its abundance is 269230736
Bases of 642948992
- Binary: 1001100101001010011111100000002
- Hexadecimal: 0x26529F80
- Base-36: AMSMM8
Squares and roots of 642948992
- 642948992 squared (6429489922) is 413383406313816064
- 642948992 cubed (6429489923) is 265784444398994474022207488
-
The
square root of 642948992 is 25356.4388666863 -
The
cube root of 642948992 is 863.0954754199
Scales and comparisons
How big is 642948992?- 642,948,992 seconds is equal to 20 years, 23 weeks, 12 hours, 56 minutes, 32 seconds.
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To count from 1 to 642,948,992 would take you about thirty 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 642948992 cubic inches would be around 71.9 feet tall.
Recreational maths with 642948992
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