138336721108992
138,336,721,108,992 is an even composite number composed of six prime numbers multiplied together.
138336721108992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred forty-eight divisors.
Prime factorization of 138336721108992:
216 × 38 × 7 × 19 × 41 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 19 × 41 × 59)See below for interesting mathematical facts about the number 138336721108992 from the Numbermatics database.
Names of 138336721108992
- Cardinal: 138336721108992 can be written as One hundred thirty-eight trillion, three hundred thirty-six billion, seven hundred twenty-one million, one hundred eight thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.38336721108992 × 1014
Factors of 138336721108992
Divisors of 138336721108992
- Number of divisors d(n): 2448
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 41 42 48 54 56 57 59 63 64 72 76 81 82 84 96 108 112 114 118 123 126 128 133 144 152 162 164 168 171 177 189 192 216 224 228 236 243 246 252 256 266 287 288 304 324 328 336 342 354 369 378 384 399 413 432 448 456 472 486 492 504 512 513 531 532 567 574 576 608 648 656 672 684 708 729 738 756 768 779 798 826 861 864 896 912 944 972 984 1008 1024 1026 1062 1064 1107 1121 1134 1148 1152 1197 1216 1239 1296 1312 1344 1368 1416 1458 1476 1512 1536 1539 1558 1593 1596 1652 1701 1722 1728 1792 1824 1888 1944 1968 2016 2048 2052 2124 2128 2187 2214 2242 2268 2296 2304 2337 2394 2419 2432 2478 2583 2592 2624 2688 2736 2832 2916 2952 3024 3072 3078 3116 3186 3192 3304 3321 3363 3402 3444 3456 3584 3591 3648 3717 3776 3888 3936 4032 4096 4104 4248 4256 4374 4428 4484 4536 4592 4608 4617 4674 4779 4788 4838 4864 4956 5103 5166 5184 5248 5376 5453 5472 5664 5832 5904 6048 6144 6156 6232 6372 6384 6561 6608 6642 6726 6804 6888 6912 7011 7168 7182 7257 7296 7434 7552 7749 7776 7847 7872 8064 8192 8208 8496 8512 8748 8856 8968 9072 9184 9216 9234 9348 9558 9576 9676 9728 9912 9963 10089 10206 10332 10368 10496 10752 10773 10906 10944 11151 11328 11664 11808 12096 12288 12312 12464 12744 12768 13122 13216 13284 13452 13608 13776 13824 13851 14022 14336 14337 14364 14514 14592 14868 15104 15309 15498 15552 15694 15744 16128 16359 16384 16416 16933 16992 17024 17496 17712 17936 18144 18368 18432 18468 18696 19116 19152 19352 19456 19824 19926 20178 20412 20664 20736 20992 21033 21504 21546 21771 21812 21888 22302 22656 23247 23328 23541 23616 24192 24576 24624 24928 25488 25536 26244 26432 26568 26904 27216 27552 27648 27702 28044 28672 28674 28728 29028 29184 29736 29889 30208 30267 30618 30996 31104 31388 31488 32256 32319 32718 32768 32832 33453 33866 33984 34048 34992 35424 35872 36288 36736 36864 36936 37392 38232 38304 38704 38912 39648 39852 40356 40824 41328 41472 41553 41984 42066 43008 43011 43092 43542 43624 43776 44604 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138336721108992
- Sum of all divisors σ(n): 520075467475200
- Sum of proper divisors (its aliquot sum) s(n): 381738746366208
- 138336721108992 is an abundant number, because the sum of its proper divisors (381738746366208) is greater than itself. Its abundance is 243402025257216
Bases of 138336721108992
- Binary: 111110111010001000001110001111100000000000000002
- Hexadecimal: 0x7DD1071F0000
- Base-36: 1D1B0G0000
Squares and roots of 138336721108992
- 138336721108992 squared (1383367211089922) is 19137048407187032802343256064
- 138336721108992 cubed (1383367211089923) is 2647356528354312131591736239550122308927488
-
The
square root of 138336721108992 is 11761663.1948458717 -
The
cube root of 138336721108992 is 51718.4887374477
Scales and comparisons
How big is 138336721108992?- 138,336,721,108,992 seconds is equal to 4,398,679 years, 43 weeks, 6 hours, 43 minutes, 12 seconds.
-
To count from 1 to 138,336,721,108,992 would take you about ten million, nine hundred ninety-six thousand, six hundred ninety-nine 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 138336721108992 cubic inches would be around 4309.9 feet tall.
Recreational maths with 138336721108992
- 138336721108992 backwards is 299801127633831
- 138336721108992 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138336721108992's digits is 63
- More coming soon!
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The information we have on file for 138336721108992 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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