138059914131216
138,059,914,131,216 is an even composite number composed of eight prime numbers multiplied together.
138059914131216 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138059914131216:
24 × 34 × 72 × 11 × 19 × 31 × 307 × 1093
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 19 × 31 × 307 × 1093)See below for interesting mathematical facts about the number 138059914131216 from the Numbermatics database.
Names of 138059914131216
- Cardinal: 138059914131216 can be written as One hundred thirty-eight trillion, fifty-nine billion, nine hundred fourteen million, one hundred thirty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38059914131216 × 1014
Factors of 138059914131216
Divisors of 138059914131216
- Number of divisors d(n): 2400
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 27 28 31 33 36 38 42 44 48 49 54 56 57 62 63 66 72 76 77 81 84 88 93 98 99 108 112 114 124 126 132 133 144 147 152 154 162 168 171 176 186 189 196 198 209 216 217 228 231 248 252 264 266 279 294 297 304 307 308 324 336 341 342 372 378 392 396 399 418 432 434 441 456 462 496 504 513 528 532 539 558 567 588 589 594 614 616 627 648 651 682 684 693 744 756 784 792 798 836 837 868 882 891 912 921 924 931 1008 1023 1026 1064 1078 1093 1116 1134 1176 1178 1188 1197 1228 1232 1254 1296 1302 1323 1364 1368 1386 1463 1488 1512 1519 1539 1584 1596 1617 1672 1674 1736 1764 1767 1782 1842 1848 1862 1881 1953 2046 2052 2079 2128 2149 2156 2186 2232 2268 2352 2356 2376 2387 2394 2456 2508 2511 2604 2646 2728 2736 2763 2772 2793 2926 3024 3038 3069 3078 3192 3234 3279 3344 3348 3377 3472 3528 3534 3564 3591 3684 3696 3724 3762 3906 3969 4092 4104 4123 4158 4298 4312 4372 4389 4464 4536 4557 4712 4752 4774 4788 4851 4912 5016 5022 5208 5292 5301 5456 5526 5544 5586 5643 5833 5852 5859 6076 6138 6156 6237 6384 6447 6468 6479 6558 6696 6754 7056 7068 7128 7161 7182 7368 7448 7524 7651 7812 7938 8184 8208 8246 8289 8316 8379 8596 8624 8744 8778 9072 9114 9207 9424 9517 9548 9576 9702 9837 10032 10044 10131 10241 10416 10584 10602 10773 11052 11088 11172 11286 11666 11704 11718 12023 12152 12276 12312 12369 12474 12894 12936 12958 13116 13167 13392 13508 13671 14136 14256 14322 14364 14553 14736 14896 15043 15048 15302 15624 15876 15903 16368 16492 16578 16632 16709 16758 16929 17192 17488 17499 17556 17577 18228 18414 19034 19096 19152 19341 19404 19437 19674 20088 20262 20482 20767 21168 21204 21483 21546 22104 22344 22572 22953 23332 23408 23436 23639 24046 24304 24552 24624 24738 24867 24948 25137 25788 25872 25916 26232 26334 27016 27342 27621 28272 28551 28644 28728 28861 29106 29511 30086 30096 30393 30604 30723 31248 31752 31806 32984 33156 33264 33418 33516 33858 33883 34384 34998 35112 35154 36069 36456 36828 37107 38068 38192 38682 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- Sum of all divisors σ(n): 553287907307520
- Sum of proper divisors (its aliquot sum) s(n): 415227993176304
- 138059914131216 is an abundant number, because the sum of its proper divisors (415227993176304) is greater than itself. Its abundance is 277168079045088
Bases of 138059914131216
- Binary: 111110110010000100101000010001110110111000100002
- Hexadecimal: 0x7D909423B710
- Base-36: 1CXRUK9T00
Squares and roots of 138059914131216
- 138059914131216 squared (1380599141312162) is 19060539889918735368065638656
- 138059914131216 cubed (1380599141312163) is 2631496500496797874099477199258536425885696
-
The
square root of 138059914131216 is 11749889.9625152233 -
The
cube root of 138059914131216 is 51683.9700699801
Scales and comparisons
How big is 138059914131216?- 138,059,914,131,216 seconds is equal to 4,389,878 years, 11 weeks, 3 days, 19 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,059,914,131,216 would take you about ten million, nine hundred seventy-four thousand, six hundred ninety-five 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 138059914131216 cubic inches would be around 4307 feet tall.
Recreational maths with 138059914131216
- 138059914131216 backwards is 612131419950831
- 138059914131216 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138059914131216's digits is 54
- More coming soon!
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"Number 138059914131216 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 138059914131216 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/138059914131216/
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The information we have on file for 138059914131216 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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