138966912
138,966,912 is an even composite number composed of five prime numbers multiplied together.
138966912 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 138966912:
27 × 32 × 7 × 19 × 907
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 19 × 907)See below for interesting mathematical facts about the number 138966912 from the Numbermatics database.
Names of 138966912
- Cardinal: 138966912 can be written as One hundred thirty-eight million, nine hundred sixty-six thousand, nine hundred twelve.
Scientific notation
- Scientific notation: 1.38966912 × 108
Factors of 138966912
Divisors of 138966912
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 64 72 76 84 96 112 114 126 128 133 144 152 168 171 192 224 228 252 266 288 304 336 342 384 399 448 456 504 532 576 608 672 684 798 896 907 912 1008 1064 1152 1197 1216 1344 1368 1596 1814 1824 2016 2128 2394 2432 2688 2721 2736 3192 3628 3648 4032 4256 4788 5442 5472 6349 6384 7256 7296 8064 8163 8512 9576 10884 10944 12698 12768 14512 16326 17024 17233 19047 19152 21768 21888 25396 25536 29024 32652 34466 38094 38304 43536 50792 51072 51699 57141 58048 65304 68932 76188 76608 87072 101584 103398 114282 116096 120631 130608 137864 152376 153216 155097 174144 203168 206796 228564 241262 261216 275728 304752 310194 348288 361893 406336 413592 457128 482524 522432 551456 609504 620388 723786 812672 827184 914256 965048 1044864 1085679 1102912 1219008 1240776 1447572 1654368 1828512 1930096 2171358 2205824 2438016 2481552 2895144 3308736 3657024 3860192 4342716 4963104 5790288 6617472 7314048 7720384 8685432 9926208 11580576 15440768 17370864 19852416 23161152 34741728 46322304 69483456 138966912
- Sum of all divisors σ(n): 481603200
- Sum of proper divisors (its aliquot sum) s(n): 342636288
- 138966912 is an abundant number, because the sum of its proper divisors (342636288) is greater than itself. Its abundance is 203669376
Bases of 138966912
- Binary: 10000100100001110111100000002
- Hexadecimal: 0x8487780
- Base-36: 2AQJK0
Squares and roots of 138966912
- 138966912 squared (1389669122) is 19311802630815744
- 138966912 cubed (1389669123) is 2683701576757939984662528
-
The
square root of 138966912 is 11788.4227952683 -
The
cube root of 138966912 is 517.9690405511
Scales and comparisons
How big is 138966912?- 138,966,912 seconds is equal to 4 years, 21 weeks, 5 days, 9 hours, 55 minutes, 12 seconds.
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To count from 1 to 138,966,912 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 138966912 cubic inches would be around 43.2 feet tall.
Recreational maths with 138966912
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