138946752
138,946,752 is an even composite number composed of four prime numbers multiplied together.
138946752 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred ten divisors.
Prime factorization of 138946752:
26 × 34 × 72 × 547
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 547)See below for interesting mathematical facts about the number 138946752 from the Numbermatics database.
Names of 138946752
- Cardinal: 138946752 can be written as One hundred thirty-eight million, nine hundred forty-six thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.38946752 × 108
Factors of 138946752
Divisors of 138946752
- Number of divisors d(n): 210
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 144 147 162 168 189 192 196 216 224 252 288 294 324 336 378 392 432 441 448 504 547 567 576 588 648 672 756 784 864 882 1008 1094 1134 1176 1296 1323 1344 1512 1568 1641 1728 1764 2016 2188 2268 2352 2592 2646 3024 3136 3282 3528 3829 3969 4032 4376 4536 4704 4923 5184 5292 6048 6564 7056 7658 7938 8752 9072 9408 9846 10584 11487 12096 13128 14112 14769 15316 15876 17504 18144 19692 21168 22974 26256 26803 28224 29538 30632 31752 34461 35008 36288 39384 42336 44307 45948 52512 53606 59076 61264 63504 68922 78768 80409 84672 88614 91896 103383 105024 107212 118152 122528 127008 137844 157536 160818 177228 183792 206766 214424 236304 241227 245056 254016 275688 310149 315072 321636 354456 367584 413532 428848 472608 482454 551376 620298 643272 708912 723681 735168 827064 857696 945216 964908 1102752 1240596 1286544 1417824 1447362 1654128 1715392 1929816 2171043 2205504 2481192 2573088 2835648 2894724 3308256 3859632 4342086 4962384 5146176 5789448 6616512 7719264 8684172 9924768 11578896 15438528 17368344 19849536 23157792 34736688 46315584 69473376 138946752
- Sum of all divisors σ(n): 480003612
- Sum of proper divisors (its aliquot sum) s(n): 341056860
- 138946752 is an abundant number, because the sum of its proper divisors (341056860) is greater than itself. Its abundance is 202110108
Bases of 138946752
- Binary: 10000100100000101000110000002
- Hexadecimal: 0x84828C0
- Base-36: 2AQ400
Squares and roots of 138946752
- 138946752 squared (1389467522) is 19306199891349504
- 138946752 cubed (1389467523) is 2682533768365766477611008
-
The
square root of 138946752 is 11787.5676880347 -
The
cube root of 138946752 is 517.9439919967
Scales and comparisons
How big is 138946752?- 138,946,752 seconds is equal to 4 years, 21 weeks, 5 days, 4 hours, 19 minutes, 12 seconds.
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To count from 1 to 138,946,752 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 138946752 cubic inches would be around 43.2 feet tall.
Recreational maths with 138946752
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The information we have on file for 138946752 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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