34140642816
34,140,642,816 is an even composite number composed of six prime numbers multiplied together.
What does the number 34140642816 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
34140642816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 34140642816:
29 × 3 × 7 × 53 × 181 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 53 × 181 × 331)See below for interesting mathematical facts about the number 34140642816 from the Numbermatics database.
Names of 34140642816
- Cardinal: 34140642816 can be written as Thirty-four billion, one hundred forty million, six hundred forty-two thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 3.4140642816 × 1010
Factors of 34140642816
Divisors of 34140642816
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 181 192 212 224 256 318 331 336 362 371 384 424 448 512 543 636 662 672 724 742 768 848 896 993 1086 1113 1267 1272 1324 1344 1448 1484 1536 1696 1792 1986 2172 2226 2317 2534 2544 2648 2688 2896 2968 3392 3584 3801 3972 4344 4452 4634 5068 5088 5296 5376 5792 5936 6784 6951 7602 7944 8688 8904 9268 9593 10136 10176 10592 10752 11584 11872 13568 13902 15204 15888 17376 17543 17808 18536 19186 20272 20352 21184 23168 23744 27136 27804 28779 30408 31776 34752 35086 35616 37072 38372 40544 40704 42368 46336 47488 52629 55608 57558 59911 60816 63552 67151 69504 70172 71232 74144 76744 81088 81408 84736 92672 94976 105258 111216 115116 119822 121632 122801 127104 134302 139008 140344 142464 148288 153488 162176 169472 179733 189952 201453 210516 222432 230232 239644 243264 245602 254208 268604 278016 280688 284928 296576 306976 324352 359466 368403 402906 419377 421032 444864 460464 479288 486528 491204 508416 537208 561376 569856 593152 613952 648704 718932 736806 805812 838754 842064 889728 920928 958576 973056 982408 1074416 1122752 1186304 1227904 1258131 1437864 1473612 1611624 1677508 1684128 1779456 1841856 1917152 1946112 1964816 2148832 2245504 2455808 2516262 2875728 2947224 3175283 3223248 3355016 3368256 3558912 3683712 3834304 3929632 4297664 4491008 4911616 5032524 5751456 5894448 6350566 6446496 6710032 6736512 7367424 7668608 7859264 8595328 8982016 9525849 10065048 11502912 11788896 12701132 12892992 13420064 13473024 14734848 15337216 15718528 17190656 19051698 20130096 22226981 23005824 23577792 25402264 25785984 26840128 26946048 30674432 31437056 34381312 38103396 40260192 44453962 46011648 47155584 50804528 51571968 53680256 62874112 66680943 76206792 80520384 88907924 92023296 94311168 101609056 103143936 107360512 133361886 152413584 161040768 177815848 188622336 203218112 214721024 266723772 304827168 322081536 355631696 406436224 533447544 609654336 644163072 711263392 812872448 1066895088 1219308672 1422526784 1625744896 2133790176 2438617344 2845053568 4267580352 4877234688 5690107136 8535160704 11380214272 17070321408 34140642816
- Sum of all divisors σ(n): 106814163456
- Sum of proper divisors (its aliquot sum) s(n): 72673520640
- 34140642816 is an abundant number, because the sum of its proper divisors (72673520640) is greater than itself. Its abundance is 38532877824
Bases of 34140642816
- Binary: 111111100101111000011011110000000002
- Hexadecimal: 0x7F2F0DE00
- Base-36: FOMGGLC
Squares and roots of 34140642816
- 34140642816 squared (341406428162) is 1165583491889692409856
- 34140642816 cubed (341406428163) is 39793769668832021436999973994496
-
The
square root of 34140642816 is 184771.8669494899 -
The
cube root of 34140642816 is 3244.0725985609
Scales and comparisons
How big is 34140642816?- 34,140,642,816 seconds is equal to 1,085 years, 29 weeks, 3 days, 7 hours, 53 minutes, 36 seconds.
-
To count from 1 to 34,140,642,816 would take you about two thousand, one hundred 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 34140642816 cubic inches would be around 270.3 feet tall.
Recreational maths with 34140642816
- 34140642816 backwards is 61824604143
- The number of decimal digits it has is: 11
- The sum of 34140642816's digits is 39
- 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 34140642816 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 34140642816 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/34140642816/
Chicago style:
Numbermatics. 2024. "Number 34140642816 - Facts about the integer". https://numbermatics.com/n/34140642816/
The information we have on file for 34140642816 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 34140642816, math, Factors of 34140642816, curriculum, school, college, exams, university, Prime factorization of 34140642816, STEM, science, technology, engineering, physics, economics, calculator, thirty-four billion, one hundred forty million, six hundred forty-two thousand, eight hundred sixteen.