42042720074400
42,042,720,074,400 is an even composite number composed of four prime numbers multiplied together.
What does the number 42042720074400 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 108 divisors.
42042720074400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eight divisors.
Prime factorization of 42042720074400:
25 × 32 × 52 × 5839266677
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5839266677)See below for interesting mathematical facts about the number 42042720074400 from the Numbermatics database.
Names of 42042720074400
- Cardinal: 42042720074400 can be written as Forty-two trillion, forty-two billion, seven hundred twenty million, seventy-four thousand, four hundred.
Scientific notation
- Scientific notation: 4.20427200744 × 1013
Factors of 42042720074400
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 5839266687
Divisors of 42042720074400
- Number of divisors d(n): 108
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 5839266677 11678533354 17517800031 23357066708 29196333385 35035600062 46714133416 52553400093 58392666770 70071200124 87589000155 93428266832 105106800186 116785333540 140142400248 145981666925 175178000310 186856533664 210213600372 233570667080 262767000465 280284800496 291963333850 350356000620 420427200744 437945000775 467141334160 525534000930 560569600992 583926667700 700712001240 840854401488 875890001550 934282668320 1051068001860 1167853335400 1313835002325 1401424002480 1681708802976 1751780003100 2102136003720 2335706670800 2627670004650 2802848004960 3503560006200 4204272007440 4671413341600 5255340009300 7007120012400 8408544014880 10510680018600 14014240024800 21021360037200 42042720074400
- Sum of all divisors σ(n): 148253141687742
- Sum of proper divisors (its aliquot sum) s(n): 106210421613342
- 42042720074400 is an abundant number, because the sum of its proper divisors (106210421613342) is greater than itself. Its abundance is 64167701538942
Bases of 42042720074400
- Binary: 10011000111100110101010110010100111010101000002
- Hexadecimal: 0x263CD5653AA0
- Base-36: EWI5Q0RS0
Squares and roots of 42042720074400
- 42042720074400 squared (420427200744002) is 1767590311254356741535360000
- 42042720074400 cubed (420427200744003) is 74314304662288488421807652149430784000000
-
The
square root of 42042720074400 is 6484035.7860209255 -
The
cube root of 42042720074400 is 34772.0478614021
Scales and comparisons
How big is 42042720074400?- 42,042,720,074,400 seconds is equal to 1,336,828 years, 23 weeks, 3 days, 10 hours.
-
To count from 1 to 42,042,720,074,400 would take you about three million, three hundred forty-two thousand and seventy-one 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 42042720074400 cubic inches would be around 2897.7 feet tall.
Recreational maths with 42042720074400
- 42042720074400 backwards is 00447002724024
- 42042720074400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42042720074400's digits is 36
- 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 42042720074400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 42042720074400 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/42042720074400/
Chicago style:
Numbermatics. 2024. "Number 42042720074400 - Facts about the integer". https://numbermatics.com/n/42042720074400/
The information we have on file for 42042720074400 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 42042720074400, math, Factors of 42042720074400, curriculum, school, college, exams, university, Prime factorization of 42042720074400, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, forty-two billion, seven hundred twenty million, seventy-four thousand, four hundred.