20832085960940800
20,832,085,960,940,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 20832085960940800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 216 divisors.
20832085960940800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 20832085960940800:
28 × 52 × 7 × 13 × 35769378367
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 35769378367)See below for interesting mathematical facts about the number 20832085960940800 from the Numbermatics database.
Names of 20832085960940800
- Cardinal: 20832085960940800 can be written as Twenty quadrillion, eight hundred thirty-two trillion, eighty-five billion, nine hundred sixty million, nine hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 2.08320859609408 × 1016
Factors of 20832085960940800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 35769378394
Divisors of 20832085960940800
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 80 91 100 104 112 128 130 140 160 175 182 200 208 224 256 260 280 320 325 350 364 400 416 448 455 520 560 640 650 700 728 800 832 896 910 1040 1120 1280 1300 1400 1456 1600 1664 1792 1820 2080 2240 2275 2600 2800 2912 3200 3328 3640 4160 4480 4550 5200 5600 5824 6400 7280 8320 8960 9100 10400 11200 11648 14560 16640 18200 20800 22400 23296 29120 36400 41600 44800 58240 72800 83200 116480 145600 291200 582400 35769378367 71538756734 143077513468 178846891835 250385648569 286155026936 357693783670 465001918771 500771297138 572310053872 715387567340 894234459175 930003837542 1001542594276 1144620107744 1251928242845 1430775134680 1788468918350 1860007675084 2003085188552 2289240215488 2325009593855 2503856485690 2861550269360 3255013431397 3576937836700 3720015350168 4006170377104 4578480430976 4650019187710 5007712971380 5723100538720 6259641214225 6510026862794 7153875673400 7440030700336 8012340754208 9156960861952 9300038375420 10015425942760 11446201077440 11625047969275 12519282428450 13020053725588 14307751346800 14880061400672 16024681508416 16275067156985 18600076750840 20030851885520 22892402154880 23250095938550 25038564856900 26040107451176 28615502693600 29760122801344 32049363016832 32550134313970 37200153501680 40061703771040 45784804309760 46500191877100 50077129713800 52080214902352 57231005387200 59520245602688 64098726033664 65100268627940 74400307003360 80123407542080 81375335784925 93000383754200 100154259427600 104160429804704 114462010774400 119040491205376 130200537255880 148800614006720 160246815084160 162750671569850 186000767508400 200308518855200 208320859609408 228924021548800 260401074511760 297601228013440 320493630168320 325501343139700 372001535016800 400617037710400 416641719218816 520802149023520 595202456026880 651002686279400 744003070033600 801234075420800 833283438437632 1041604298047040 1302005372558800 1488006140067200 1602468150841600 2083208596094080 2604010745117600 2976012280134400 4166417192188160 5208021490235200 10416042980470400 20832085960940800
- Sum of all divisors σ(n): 63461744945478656
- Sum of proper divisors (its aliquot sum) s(n): 42629658984537856
- 20832085960940800 is an abundant number, because the sum of its proper divisors (42629658984537856) is greater than itself. Its abundance is 21797573023597056
Bases of 20832085960940800
- Binary: 10010100000001010101011111110111010000111011101000000002
- Hexadecimal: 0x4A02ABFBA1DD00
- Base-36: 5P4CW68MGHS
Squares and roots of 20832085960940800
- 20832085960940800 squared (208320859609408002) is 433975805484026774543221104640000
- 20832085960940800 cubed (208320859609408003) is 9040621284811769612025294176636897269645312000000
-
The
square root of 20832085960940800 is 144333246.2080057285 -
The
cube root of 20832085960940800 is 275155.1123210901
Scales and comparisons
How big is 20832085960940800?- 20,832,085,960,940,800 seconds is equal to 662,395,895 years, 35 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 20,832,085,960,940,800 would take you about one billion, nine hundred eighty-seven million, one hundred eighty-seven thousand, six hundred eighty-seven 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 20832085960940800 cubic inches would be around 22929.6 feet tall.
Recreational maths with 20832085960940800
- 20832085960940800 backwards is 00804906958023802
- 20832085960940800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 20832085960940800's digits is 64
- 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 20832085960940800 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 20832085960940800 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/20832085960940800/
Chicago style:
Numbermatics. 2024. "Number 20832085960940800 - Facts about the integer". https://numbermatics.com/n/20832085960940800/
The information we have on file for 20832085960940800 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 20832085960940800, math, Factors of 20832085960940800, curriculum, school, college, exams, university, Prime factorization of 20832085960940800, STEM, science, technology, engineering, physics, economics, calculator, twenty quadrillion, eight hundred thirty-two trillion, eighty-five billion, nine hundred sixty million, nine hundred forty thousand, eight hundred.