138133728
138,133,728 is an even composite number composed of five prime numbers multiplied together.
138133728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138133728:
25 × 33 × 29 × 37 × 149
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 29 × 37 × 149)See below for interesting mathematical facts about the number 138133728 from the Numbermatics database.
Names of 138133728
- Cardinal: 138133728 can be written as One hundred thirty-eight million, one hundred thirty-three thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38133728 × 108
Factors of 138133728
Divisors of 138133728
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 37 48 54 58 72 74 87 96 108 111 116 144 148 149 174 216 222 232 261 288 296 298 333 348 432 444 447 464 522 592 596 666 696 783 864 888 894 928 999 1044 1073 1184 1192 1332 1341 1392 1566 1776 1788 1998 2088 2146 2384 2664 2682 2784 3132 3219 3552 3576 3996 4023 4176 4292 4321 4768 5328 5364 5513 6264 6438 7152 7992 8046 8352 8584 8642 9657 10656 10728 11026 12528 12876 12963 14304 15984 16092 16539 17168 17284 19314 21456 22052 25056 25752 25926 28971 31968 32184 33078 34336 34568 38628 38889 42912 44104 49617 51504 51852 57942 64368 66156 69136 77256 77778 88208 99234 103008 103704 115884 116667 128736 132312 138272 148851 154512 155556 159877 176416 198468 207408 231768 233334 264624 297702 309024 311112 319754 396936 414816 463536 466668 479631 529248 595404 622224 639508 793872 927072 933336 959262 1190808 1244448 1279016 1438893 1587744 1866672 1918524 2381616 2558032 2877786 3733344 3837048 4316679 4763232 5116064 5755572 7674096 8633358 11511144 15348192 17266716 23022288 34533432 46044576 69066864 138133728
- Sum of all divisors σ(n): 430920000
- Sum of proper divisors (its aliquot sum) s(n): 292786272
- 138133728 is an abundant number, because the sum of its proper divisors (292786272) is greater than itself. Its abundance is 154652544
Bases of 138133728
- Binary: 10000011101111000000111000002
- Hexadecimal: 0x83BC0E0
- Base-36: 2A8OO0
Squares and roots of 138133728
- 138133728 squared (1381337282) is 19080926811177984
- 138133728 cubed (1381337283) is 2635719554123167001444352
-
The
square root of 138133728 is 11753.0305878951 -
The
cube root of 138133728 is 516.9317939071
Scales and comparisons
How big is 138133728?- 138,133,728 seconds is equal to 4 years, 20 weeks, 2 days, 18 hours, 28 minutes, 48 seconds.
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To count from 1 to 138,133,728 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 138133728 cubic inches would be around 43.1 feet tall.
Recreational maths with 138133728
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The information we have on file for 138133728 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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