642132512
642,132,512 is an even composite number composed of five prime numbers multiplied together.
642132512 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 642132512:
25 × 7 × 19 × 312 × 157
(2 × 2 × 2 × 2 × 2 × 7 × 19 × 31 × 31 × 157)See below for interesting mathematical facts about the number 642132512 from the Numbermatics database.
Names of 642132512
- Cardinal: 642132512 can be written as Six hundred forty-two million, one hundred thirty-two thousand, five hundred twelve.
Scientific notation
- Scientific notation: 6.42132512 × 108
Factors of 642132512
Divisors of 642132512
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 8 14 16 19 28 31 32 38 56 62 76 112 124 133 152 157 217 224 248 266 304 314 434 496 532 589 608 628 868 961 992 1064 1099 1178 1256 1736 1922 2128 2198 2356 2512 2983 3472 3844 4123 4256 4396 4712 4867 5024 5966 6727 6944 7688 8246 8792 9424 9734 11932 13454 15376 16492 17584 18259 18848 19468 20881 23864 26908 30752 32984 34069 35168 36518 38936 41762 47728 53816 65968 68138 73036 77872 83524 92473 95456 107632 127813 131936 136276 146072 150877 155744 167048 184946 215264 255626 272552 292144 301754 334096 369892 511252 545104 584288 603508 647311 668192 739784 1022504 1056139 1090208 1207016 1294622 1479568 2045008 2112278 2414032 2589244 2866663 2959136 4090016 4224556 4828064 5178488 5733326 8449112 10356976 11466652 16898224 20066641 20713952 22933304 33796448 40133282 45866608 80266564 91733216 160533128 321066256 642132512
- Sum of all divisors σ(n): 1581491520
- Sum of proper divisors (its aliquot sum) s(n): 939359008
- 642132512 is an abundant number, because the sum of its proper divisors (939359008) is greater than itself. Its abundance is 297226496
Bases of 642132512
- Binary: 1001100100011000101010001000002
- Hexadecimal: 0x26462A20
- Base-36: AMB4M8
Squares and roots of 642132512
- 642132512 squared (6421325122) is 412334162967430144
- 642132512 cubed (6421325123) is 264773171849693292551241728
-
The
square root of 642132512 is 25340.3336994603 -
The
cube root of 642132512 is 862.7299727583
Scales and comparisons
How big is 642132512?- 642,132,512 seconds is equal to 20 years, 21 weeks, 5 days, 2 hours, 8 minutes, 32 seconds.
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To count from 1 to 642,132,512 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 642132512 cubic inches would be around 71.9 feet tall.
Recreational maths with 642132512
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