138042320
138,042,320 is an even composite number composed of six prime numbers multiplied together.
138042320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 138042320:
24 × 5 × 13 × 23 × 29 × 199
(2 × 2 × 2 × 2 × 5 × 13 × 23 × 29 × 199)See below for interesting mathematical facts about the number 138042320 from the Numbermatics database.
Names of 138042320
- Cardinal: 138042320 can be written as One hundred thirty-eight million, forty-two thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3804232 × 108
Factors of 138042320
Divisors of 138042320
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 26 29 40 46 52 58 65 80 92 104 115 116 130 145 184 199 208 230 232 260 290 299 368 377 398 460 464 520 580 598 667 754 796 920 995 1040 1160 1196 1334 1495 1508 1592 1840 1885 1990 2320 2392 2587 2668 2990 3016 3184 3335 3770 3980 4577 4784 5174 5336 5771 5980 6032 6670 7540 7960 8671 9154 10348 10672 11542 11960 12935 13340 15080 15920 17342 18308 20696 22885 23084 23920 25870 26680 28855 30160 34684 36616 41392 43355 45770 46168 51740 53360 57710 59501 69368 73232 75023 86710 91540 92336 103480 115420 119002 132733 138736 150046 173420 183080 206960 230840 238004 265466 297505 300092 346840 366160 375115 461680 476008 530932 595010 600184 663665 693680 750230 952016 1061864 1190020 1200368 1327330 1500460 1725529 2123728 2380040 2654660 3000920 3451058 4760080 5309320 6001840 6902116 8627645 10618640 13804232 17255290 27608464 34510580 69021160 138042320
- Sum of all divisors σ(n): 374976000
- Sum of proper divisors (its aliquot sum) s(n): 236933680
- 138042320 is an abundant number, because the sum of its proper divisors (236933680) is greater than itself. Its abundance is 98891360
Bases of 138042320
- Binary: 10000011101001011011110100002
- Hexadecimal: 0x83A5BD0
- Base-36: 2A6Q4W
Squares and roots of 138042320
- 138042320 squared (1380423202) is 19055682110982400
- 138042320 cubed (1380423203) is 2630490567782507975168000
-
The
square root of 138042320 is 11749.1412452145 -
The
cube root of 138042320 is 516.8177446965
Scales and comparisons
How big is 138042320?- 138,042,320 seconds is equal to 4 years, 20 weeks, 1 day, 17 hours, 5 minutes, 20 seconds.
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To count from 1 to 138,042,320 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 138042320 cubic inches would be around 43.1 feet tall.
Recreational maths with 138042320
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The information we have on file for 138042320 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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