138538993590144
138,538,993,590,144 is an even composite number composed of five prime numbers multiplied together.
138538993590144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138538993590144:
27 × 33 × 7 × 229 × 25007183
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 229 × 25007183)See below for interesting mathematical facts about the number 138538993590144 from the Numbermatics database.
Names of 138538993590144
- Cardinal: 138538993590144 can be written as One hundred thirty-eight trillion, five hundred thirty-eight billion, nine hundred ninety-three million, five hundred ninety thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.38538993590144 × 1014
Factors of 138538993590144
Divisors of 138538993590144
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 229 252 288 336 378 384 432 448 458 504 576 672 687 756 864 896 916 1008 1152 1344 1374 1512 1603 1728 1832 2016 2061 2688 2748 3024 3206 3456 3664 4032 4122 4809 5496 6048 6183 6412 7328 8064 8244 9618 10992 12096 12366 12824 14427 14656 16488 19236 21984 24192 24732 25648 28854 29312 32976 38472 43281 43968 49464 51296 57708 65952 76944 86562 87936 98928 102592 115416 131904 153888 173124 197856 205184 230832 263808 307776 346248 395712 461664 615552 692496 791424 923328 1384992 1846656 2769984 5539968 25007183 50014366 75021549 100028732 150043098 175050281 200057464 225064647 300086196 350100562 400114928 450129294 525150843 600172392 675193941 700201124 800229856 900258588 1050301686 1200344784 1350387882 1400402248 1575452529 1600459712 1800517176 2100603372 2400689568 2700775764 2800804496 3150905058 3200919424 3601034352 4201206744 4726357587 4801379136 5401551528 5601608992 5726644907 6301810116 7202068704 8402413488 9452715174 9602758272 10803103056 11203217984 11453289814 12603620232 14404137408 16804826976 17179934721 18905430348 21606206112 22406435968 22906579628 25207240464 28808274816 33609653952 34359869442 37810860696 40086514349 43212412224 45813159256 50414480928 51539804163 67219307904 68719738884 75621721392 80173028698 86424824448 91626318512 100828961856 103079608326 120259543047 137439477768 151243442784 154619412489 160346057396 183252637024 201657923712 206159216652 240519086094 274878955536 302486885568 309238824978 320692114792 360778629141 366505274048 412318433304 481038172188 549757911072 604973771136 618477649956 641384229584 721557258282 733010548096 824636866608 962076344376 1082335887423 1099515822144 1236955299912 1282768459168 1443114516564 1649273733216 1924152688752 2164671774846 2199031644288 2473910599824 2565536918336 2886229033128 3298547466432 3848305377504 4329343549692 4947821199648 5131073836672 5772458066256 6597094932864 7696610755008 8658687099384 9895642399296 11544916132512 15393221510016 17317374198768 19791284798592 23089832265024 34634748397536 46179664530048 69269496795072 138538993590144
- Sum of all divisors σ(n): 469334829312000
- Sum of proper divisors (its aliquot sum) s(n): 330795835721856
- 138538993590144 is an abundant number, because the sum of its proper divisors (330795835721856) is greater than itself. Its abundance is 192256842131712
Bases of 138538993590144
- Binary: 111111000000000000111111000000000011111100000002
- Hexadecimal: 0x7E001F801F80
- Base-36: 1D3VXNT9C0
Squares and roots of 138538993590144
- 138538993590144 squared (1385389935901442) is 19193052744969960318253940736
- 138538993590144 cubed (1385389935901443) is 2658986211210689036868412729902772449705984
-
The
square root of 138538993590144 is 11770258.8582470861 -
The
cube root of 138538993590144 is 51743.6836203341
Scales and comparisons
How big is 138538993590144?- 138,538,993,590,144 seconds is equal to 4,405,111 years, 24 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,538,993,590,144 would take you about eleven million, twelve thousand, seven hundred seventy-eight 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 138538993590144 cubic inches would be around 4312 feet tall.
Recreational maths with 138538993590144
- 138538993590144 backwards is 441095399835831
- 138538993590144 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138538993590144's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138538993590144 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
APA style:
Numbermatics. (2024). Number 138538993590144 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/138538993590144/
Chicago style:
Numbermatics. 2024. "Number 138538993590144 - Facts about the integer". https://numbermatics.com/n/138538993590144/
The information we have on file for 138538993590144 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!
Keywords: Divisors of 138538993590144, math, Factors of 138538993590144, curriculum, school, college, exams, university, Prime factorization of 138538993590144, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred thirty-eight billion, nine hundred ninety-three million, five hundred ninety thousand, one hundred forty-four.