137035968000
137,035,968,000 is an even composite number composed of five prime numbers multiplied together.
137035968000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 137035968000:
29 × 3 × 53 × 653 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 653 × 1093)See below for interesting mathematical facts about the number 137035968000 from the Numbermatics database.
Names of 137035968000
- Cardinal: 137035968000 can be written as One hundred thirty-seven billion, thirty-five million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.37035968 × 1011
Factors of 137035968000
Divisors of 137035968000
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 653 750 768 800 960 1000 1093 1200 1280 1306 1500 1536 1600 1920 1959 2000 2186 2400 2560 2612 3000 3200 3265 3279 3840 3918 4000 4372 4800 5224 5465 6000 6400 6530 6558 7680 7836 8000 8744 9600 9795 10448 10930 12000 12800 13060 13116 15672 16000 16325 16395 17488 19200 19590 20896 21860 24000 26120 26232 27325 31344 32000 32650 32790 34976 38400 39180 41792 43720 48000 48975 52240 52464 54650 62688 64000 65300 65580 69952 78360 81625 81975 83584 87440 96000 97950 104480 104928 109300 125376 130600 131160 136625 139904 156720 163250 163950 167168 174880 192000 195900 208960 209856 218600 244875 250752 261200 262320 273250 279808 313440 326500 327900 334336 349760 391800 409875 417920 419712 437200 489750 501504 522400 524640 546500 559616 626880 653000 655800 699520 713729 783600 819750 835840 839424 874400 979500 1003008 1044800 1049280 1093000 1253760 1306000 1311600 1399040 1427458 1567200 1639500 1671680 1678848 1748800 1959000 2089600 2098560 2141187 2186000 2507520 2612000 2623200 2798080 2854916 3134400 3279000 3497600 3568645 3918000 4179200 4197120 4282374 4372000 5015040 5224000 5246400 5709832 6268800 6558000 6995200 7137290 7836000 8358400 8394240 8564748 8744000 10448000 10492800 10705935 11419664 12537600 13116000 13990400 14274580 15672000 17129496 17488000 17843225 20896000 20985600 21411870 22839328 25075200 26232000 28549160 31344000 34258992 34976000 35686450 41792000 41971200 42823740 45678656 52464000 53529675 57098320 62688000 68517984 69952000 71372900 85647480 89216125 91357312 104928000 107059350 114196640 125376000 137035968 142745800 171294960 178432250 182714624 209856000 214118700 228393280 267648375 274071936 285491600 342589920 356864500 365429248 428237400 456786560 535296750 548143872 570983200 685179840 713729000 856474800 913573120 1070593500 1096287744 1141966400 1370359680 1427458000 1712949600 1827146240 2141187000 2283932800 2740719360 2854916000 3425899200 4282374000 4567865600 5481438720 5709832000 6851798400 8564748000 9135731200 11419664000 13703596800 17129496000 22839328000 27407193600 34258992000 45678656000 68517984000 137035968000
- Sum of all divisors σ(n): 456725535552
- Sum of proper divisors (its aliquot sum) s(n): 319689567552
- 137035968000 is an abundant number, because the sum of its proper divisors (319689567552) is greater than itself. Its abundance is 182653599552
Bases of 137035968000
- Binary: 11111111001111111101011101110000000002
- Hexadecimal: 0x1FE7FAEE00
- Base-36: 1QYBODMO
Squares and roots of 137035968000
- 137035968000 squared (1370359680002) is 18778856525697024000000
- 137035968000 cubed (1370359680003) is 2573378781932008558559232000000000
-
The
square root of 137035968000 is 370183.6949407685 -
The
cube root of 137035968000 is 5155.5878394509
Scales and comparisons
How big is 137035968000?- 137,035,968,000 seconds is equal to 4,357 years, 16 weeks, 4 days, 10 hours, 40 minutes.
-
To count from 1 to 137,035,968,000 would take you about eight thousand, seven hundred fourteen 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 137035968000 cubic inches would be around 429.6 feet tall.
Recreational maths with 137035968000
- 137035968000 backwards is 000869530731
- The number of decimal digits it has is: 12
- The sum of 137035968000's digits is 42
- 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 137035968000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 137035968000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/137035968000/
Chicago style:
Numbermatics. 2024. "Number 137035968000 - Facts about the integer". https://numbermatics.com/n/137035968000/
The information we have on file for 137035968000 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 137035968000, math, Factors of 137035968000, curriculum, school, college, exams, university, Prime factorization of 137035968000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven billion, thirty-five million, nine hundred sixty-eight thousand.