138144754824000000
138,144,754,824,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138144754824000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3360 divisors.
138144754824000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 138144754824000000:
29 × 3 × 56 × 23 × 412 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 23 × 41 × 41 × 53 × 53 × 53)See below for interesting mathematical facts about the number 138144754824000000 from the Numbermatics database.
Names of 138144754824000000
- Cardinal: 138144754824000000 can be written as One hundred thirty-eight quadrillion, one hundred forty-four trillion, seven hundred fifty-four billion, eight hundred twenty-four million.
Scientific notation
- Scientific notation: 1.38144754824 × 1017
Factors of 138144754824000000
Divisors of 138144754824000000
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 41 46 48 50 53 60 64 69 75 80 82 92 96 100 106 115 120 123 125 128 138 150 159 160 164 184 192 200 205 212 230 240 246 250 256 265 276 300 318 320 328 345 368 375 384 400 410 424 460 480 492 500 512 530 552 575 600 615 625 636 640 656 690 736 750 768 795 800 820 848 920 943 960 984 1000 1025 1060 1104 1150 1200 1219 1230 1250 1272 1280 1312 1325 1380 1472 1500 1536 1590 1600 1640 1681 1696 1725 1840 1875 1886 1920 1968 2000 2050 2120 2173 2208 2300 2400 2438 2460 2500 2544 2560 2624 2650 2760 2809 2829 2875 2944 3000 3075 3125 3180 3200 3280 3362 3392 3450 3657 3680 3750 3772 3840 3936 3975 4000 4100 4240 4346 4416 4600 4715 4800 4876 4920 5000 5043 5088 5125 5248 5300 5520 5618 5658 5750 5888 6000 6095 6150 6250 6360 6400 6519 6560 6625 6724 6784 6900 7314 7360 7500 7544 7680 7872 7950 8000 8200 8405 8427 8480 8625 8692 8832 9200 9375 9430 9600 9752 9840 10000 10086 10176 10250 10496 10600 10865 11040 11236 11316 11500 11776 12000 12190 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- Sum of all divisors σ(n): 501483564290712960
- Sum of proper divisors (its aliquot sum) s(n): 363338809466712960
- 138144754824000000 is an abundant number, because the sum of its proper divisors (363338809466712960) is greater than itself. Its abundance is 225194054642712960
Bases of 138144754824000000
- Binary: 1111010101100100111101100001011101101111000110010000000002
- Hexadecimal: 0x1EAC9EC2EDE3200
- Base-36: 11S88892C6IO
Squares and roots of 138144754824000000
- 138144754824000000 squared (1381447548240000002) is 19083973285383071270976000000000000
- 138144754824000000 cubed (1381447548240000003) is 2636350810577010163649097587188224000000000000000000
-
The
square root of 138144754824000000 is 371678294.7980686159 -
The
cube root of 138144754824000000 is 516945.5486078335
Scales and comparisons
How big is 138144754824000000?- 138,144,754,824,000,000 seconds is equal to 4,392,575,893 years, 32 weeks, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 138,144,754,824,000,000 would take you about thirteen billion, one hundred seventy-seven million, seven hundred twenty-seven thousand, six hundred eighty 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 138144754824000000 cubic inches would be around 43078.8 feet tall.
Recreational maths with 138144754824000000
- 138144754824000000 backwards is 000000428457441831
- The number of decimal digits it has is: 18
- The sum of 138144754824000000's digits is 51
- More coming soon!
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Cite this page
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"Number 138144754824000000 - Facts about the integer". Numbermatics.com. 2024. Web. 10 May 2024.
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Numbermatics. (2024). Number 138144754824000000 - Facts about the integer. Retrieved 10 May 2024, from https://numbermatics.com/n/138144754824000000/
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Numbermatics. 2024. "Number 138144754824000000 - Facts about the integer". https://numbermatics.com/n/138144754824000000/
The information we have on file for 138144754824000000 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 138144754824000000, math, Factors of 138144754824000000, curriculum, school, college, exams, university, Prime factorization of 138144754824000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred forty-four trillion, seven hundred fifty-four billion, eight hundred twenty-four million.