138730848
138,730,848 is an even composite number composed of five prime numbers multiplied together.
138730848 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 138730848:
25 × 3 × 23 × 83 × 757
(2 × 2 × 2 × 2 × 2 × 3 × 23 × 83 × 757)See below for interesting mathematical facts about the number 138730848 from the Numbermatics database.
Names of 138730848
- Cardinal: 138730848 can be written as One hundred thirty-eight million, seven hundred thirty thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.38730848 × 108
Factors of 138730848
Divisors of 138730848
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 12 16 23 24 32 46 48 69 83 92 96 138 166 184 249 276 332 368 498 552 664 736 757 996 1104 1328 1514 1909 1992 2208 2271 2656 3028 3818 3984 4542 5727 6056 7636 7968 9084 11454 12112 15272 17411 18168 22908 24224 30544 34822 36336 45816 52233 61088 62831 69644 72672 91632 104466 125662 139288 183264 188493 208932 251324 278576 376986 417864 502648 557152 753972 835728 1005296 1445113 1507944 1671456 2010592 2890226 3015888 4335339 5780452 6031776 8670678 11560904 17341356 23121808 34682712 46243616 69365424 138730848
- Sum of all divisors σ(n): 385088256
- Sum of proper divisors (its aliquot sum) s(n): 246357408
- 138730848 is an abundant number, because the sum of its proper divisors (246357408) is greater than itself. Its abundance is 107626560
Bases of 138730848
- Binary: 10000100010011011101011000002
- Hexadecimal: 0x844DD60
- Base-36: 2ALHEO
Squares and roots of 138730848
- 138730848 squared (1387308482) is 19246248186799104
- 138730848 cubed (1387308483) is 2670048331773102103560192
-
The
square root of 138730848 is 11778.4060042095 -
The
cube root of 138730848 is 517.6755818589
Scales and comparisons
How big is 138730848?- 138,730,848 seconds is equal to 4 years, 21 weeks, 2 days, 16 hours, 20 minutes, 48 seconds.
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To count from 1 to 138,730,848 would take you about six 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 138730848 cubic inches would be around 43.1 feet tall.
Recreational maths with 138730848
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