542322144
542,322,144 is an even composite number composed of five prime numbers multiplied together.
542322144 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 542322144:
25 × 32 × 7 × 13 × 20693
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 20693)See below for interesting mathematical facts about the number 542322144 from the Numbermatics database.
Names of 542322144
- Cardinal: 542322144 can be written as Five hundred forty-two million, three hundred twenty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 5.42322144 × 108
Factors of 542322144
Divisors of 542322144
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 20693 26208 41386 62079 82772 124158 144851 165544 186237 248316 269009 289702 331088 372474 434553 496632 538018 579404 662176 744948 807027 869106 993264 1076036 1158808 1303659 1489896 1614054 1738212 1883063 1986528 2152072 2317616 2421081 2607318 2979792 3228108 3476424 3766126 4304144 4635232 4842162 5214636 5649189 5959584 6456216 6952848 7532252 8608288 9684324 10429272 11298378 12912432 13905696 15064504 16947567 19368648 20858544 22596756 25824864 30129008 33895134 38737296 41717088 45193512 60258016 67790268 77474592 90387024 135580536 180774048 271161072 542322144
- Sum of all divisors σ(n): 1898219232
- Sum of proper divisors (its aliquot sum) s(n): 1355897088
- 542322144 is an abundant number, because the sum of its proper divisors (1355897088) is greater than itself. Its abundance is 813574944
Bases of 542322144
- Binary: 1000000101001100101101111000002
- Hexadecimal: 0x20532DE0
- Base-36: 8YVUG0
Squares and roots of 542322144
- 542322144 squared (5423221442) is 294113307872756736
- 542322144 cubed (5423221443) is 159504159704485512257961984
-
The
square root of 542322144 is 23287.8110607245 -
The
cube root of 542322144 is 815.4908877305
Scales and comparisons
How big is 542322144?- 542,322,144 seconds is equal to 17 years, 12 weeks, 4 days, 21 hours, 2 minutes, 24 seconds.
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To count from 1 to 542,322,144 would take you about twenty-five 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 542322144 cubic inches would be around 68 feet tall.
Recreational maths with 542322144
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