34738021701042768
34,738,021,701,042,768 is an even composite number composed of five prime numbers multiplied together.
What does the number 34738021701042768 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 120 divisors.
34738021701042768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 34738021701042768:
24 × 32 × 31 × 577 × 13486680931
(2 × 2 × 2 × 2 × 3 × 3 × 31 × 577 × 13486680931)See below for interesting mathematical facts about the number 34738021701042768 from the Numbermatics database.
Names of 34738021701042768
- Cardinal: 34738021701042768 can be written as Thirty-four quadrillion, seven hundred thirty-eight trillion, twenty-one billion, seven hundred one million, forty-two thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 3.4738021701042768 × 1016
Factors of 34738021701042768
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 13486681544
Divisors of 34738021701042768
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 577 744 1116 1154 1488 1731 2232 2308 3462 4464 4616 5193 6924 9232 10386 13848 17887 20772 27696 35774 41544 53661 71548 83088 107322 143096 160983 214644 286192 321966 429288 643932 858576 1287864 2575728 13486680931 26973361862 40460042793 53946723724 80920085586 107893447448 121380128379 161840171172 215786894896 242760256758 323680342344 418087108861 485520513516 647360684688 836174217722 971041027032 1254261326583 1672348435444 1942082054064 2508522653166 3344696870888 3762783979749 5017045306332 6689393741776 7525567959498 7781814897187 10034090612664 15051135918996 15563629794374 20068181225328 23345444691561 30102271837992 31127259588748 46690889383122 60204543675984 62254519177496 70036334074683 93381778766244 124509038354992 140072668149366 186763557532488 241236261812797 280145336298732 373527115064976 482472523625594 560290672597464 723708785438391 964945047251188 1120581345194928 1447417570876782 1929890094502376 2171126356315173 2894835141753564 3859780189004752 4342252712630346 5789670283507128 8684505425260692 11579340567014256 17369010850521384 34738021701042768
- Sum of all divisors σ(n): 100528209158863616
- Sum of proper divisors (its aliquot sum) s(n): 65790187457820848
- 34738021701042768 is an abundant number, because the sum of its proper divisors (65790187457820848) is greater than itself. Its abundance is 31052165756778080
Bases of 34738021701042768
- Binary: 11110110110101000001011111100111011000011000010010100002
- Hexadecimal: 0x7B6A0BF3B0C250
- Base-36: 9I1LMUZNQS0
Squares and roots of 34738021701042768
- 34738021701042768 squared (347380217010427682) is 1206730151702118284825218565101824
- 34738021701042768 cubed (347380217010427683) is 41919418197130816501055337701380648334274898808832
-
The
square root of 34738021701042768 is 186381387.7538279519 -
The
cube root of 34738021701042768 is 326288.4448887807
Scales and comparisons
How big is 34738021701042768?- 34,738,021,701,042,768 seconds is equal to 1,104,561,638 years, 17 weeks, 3 days, 15 hours, 52 minutes, 48 seconds.
-
To count from 1 to 34,738,021,701,042,768 would take you about three billion, three hundred thirteen million, six hundred eighty-four thousand, nine hundred fifteen 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 34738021701042768 cubic inches would be around 27190.7 feet tall.
Recreational maths with 34738021701042768
- 34738021701042768 backwards is 86724010712083743
- The number of decimal digits it has is: 17
- The sum of 34738021701042768's digits is 63
- 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 34738021701042768 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 34738021701042768 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/34738021701042768/
Chicago style:
Numbermatics. 2024. "Number 34738021701042768 - Facts about the integer". https://numbermatics.com/n/34738021701042768/
The information we have on file for 34738021701042768 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 34738021701042768, math, Factors of 34738021701042768, curriculum, school, college, exams, university, Prime factorization of 34738021701042768, STEM, science, technology, engineering, physics, economics, calculator, thirty-four quadrillion, seven hundred thirty-eight trillion, twenty-one billion, seven hundred one million, forty-two thousand, seven hundred sixty-eight.