138048768
138,048,768 is an even composite number composed of five prime numbers multiplied together.
138048768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 138048768:
28 × 32 × 11 × 13 × 419
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 419)See below for interesting mathematical facts about the number 138048768 from the Numbermatics database.
Names of 138048768
- Cardinal: 138048768 can be written as One hundred thirty-eight million, forty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38048768 × 108
Factors of 138048768
Divisors of 138048768
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 64 66 72 78 88 96 99 104 117 128 132 143 144 156 176 192 198 208 234 256 264 286 288 312 352 384 396 416 419 429 468 528 572 576 624 704 768 792 832 838 858 936 1056 1144 1152 1248 1257 1287 1408 1584 1664 1676 1716 1872 2112 2288 2304 2496 2514 2574 2816 3168 3328 3352 3432 3744 3771 4224 4576 4609 4992 5028 5148 5447 6336 6704 6864 7488 7542 8448 9152 9218 9984 10056 10296 10894 12672 13408 13728 13827 14976 15084 16341 18304 18436 20112 20592 21788 25344 26816 27456 27654 29952 30168 32682 36608 36872 40224 41184 41481 43576 49023 53632 54912 55308 59917 60336 65364 73744 80448 82368 82962 87152 98046 107264 109824 110616 119834 120672 130728 147488 160896 164736 165924 174304 179751 196092 221232 239668 241344 261456 294976 321792 329472 331848 348608 359502 392184 442464 479336 482688 522912 539253 589952 663696 697216 719004 784368 884928 958672 965376 1045824 1078506 1179904 1327392 1394432 1438008 1568736 1769856 1917344 2091648 2157012 2654784 2876016 3137472 3539712 3834688 4183296 4314024 5309568 5752032 6274944 7669376 8628048 10619136 11504064 12549888 15338752 17256096 23008128 34512192 46016256 69024384 138048768
- Sum of all divisors σ(n): 468730080
- Sum of proper divisors (its aliquot sum) s(n): 330681312
- 138048768 is an abundant number, because the sum of its proper divisors (330681312) is greater than itself. Its abundance is 192632544
Bases of 138048768
- Binary: 10000011101001110101000000002
- Hexadecimal: 0x83A7500
- Base-36: 2A6V40
Squares and roots of 138048768
- 138048768 squared (1380487682) is 19057462346317824
- 138048768 cubed (1380487683) is 2630859198115564939640832
-
The
square root of 138048768 is 11749.4156450437 -
The
cube root of 138048768 is 516.8257914773
Scales and comparisons
How big is 138048768?- 138,048,768 seconds is equal to 4 years, 20 weeks, 1 day, 18 hours, 52 minutes, 48 seconds.
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To count from 1 to 138,048,768 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 138048768 cubic inches would be around 43.1 feet tall.
Recreational maths with 138048768
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The information we have on file for 138048768 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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