20829442802688000
20,829,442,802,688,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 20829442802688000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3136 divisors.
20829442802688000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, one hundred thirty-six divisors.
Prime factorization of 20829442802688000:
213 × 36 × 53 × 13 × 433 × 4957
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 433 × 4957)See below for interesting mathematical facts about the number 20829442802688000 from the Numbermatics database.
Names of 20829442802688000
- Cardinal: 20829442802688000 can be written as Twenty quadrillion, eight hundred twenty-nine trillion, four hundred forty-two billion, eight hundred two million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 2.0829442802688 × 1016
Factors of 20829442802688000
Divisors of 20829442802688000
- Number of divisors d(n): 3136
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 125 128 130 135 144 150 156 160 162 180 192 195 200 208 216 225 234 240 243 250 256 260 270 288 300 312 320 324 325 351 360 375 384 390 400 405 416 432 433 450 468 480 486 500 512 520 540 576 585 600 624 640 648 650 675 702 720 729 750 768 780 800 810 832 864 866 900 936 960 972 975 1000 1024 1040 1053 1080 1125 1152 1170 1200 1215 1248 1280 1296 1299 1300 1350 1404 1440 1458 1500 1536 1560 1600 1620 1625 1664 1728 1732 1755 1800 1872 1920 1944 1950 2000 2025 2048 2080 2106 2160 2165 2250 2304 2340 2400 2430 2496 2560 2592 2598 2600 2700 2808 2880 2916 2925 3000 3072 3120 3159 3200 3240 3250 3328 3375 3456 3464 3510 3600 3645 3744 3840 3888 3897 3900 4000 4050 4096 4160 4212 4320 4330 4500 4608 4680 4800 4860 4875 4957 4992 5120 5184 5196 5200 5265 5400 5616 5629 5760 5832 5850 6000 6075 6144 6240 6318 6400 6480 6495 6500 6656 6750 6912 6928 7020 7200 7290 7488 7680 7776 7794 7800 8000 8100 8192 8320 8424 8640 8660 8775 9000 9216 9360 9477 9600 9720 9750 9914 9984 10125 10240 10368 10392 10400 10530 10800 10825 11232 11258 11520 11664 11691 11700 12000 12150 12288 12480 12636 12800 12960 12990 13000 13312 13500 13824 13856 14040 14400 14580 14625 14871 14976 15360 15552 15588 15600 15795 16000 16200 16640 16848 16887 17280 17320 17550 18000 18225 18432 18720 18954 19200 19440 19485 19500 19828 19968 20250 20480 20736 20784 20800 21060 21600 21650 22464 22516 23040 23328 23382 23400 24000 24300 24576 24785 24960 25272 25600 25920 25980 26000 26325 26624 27000 27648 27712 28080 28145 28800 29160 29250 29742 29952 30375 30720 31104 31176 31200 31590 32000 32400 32475 33280 33696 33774 34560 34640 35073 35100 36000 36450 36864 37440 37908 38400 38880 38970 39000 39656 39936 40500 40960 41472 41568 41600 42120 43200 43300 43875 44613 44928 45032 46080 46656 46764 46800 47385 48000 48600 49570 49920 50544 50661 51200 51840 51960 52000 52650 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42858935808000 43394672505600 44507356416000 46287650672640 48104948736000 48216302784000 50070775968000 51430722969600 52073607006720 53408827699200 54243340632000 55545180807168 57859563340800 59343141888000 64090593239040 64288403712000 65092008758400 66761034624000 69431476008960 72324454176000 77146084454400 80113241548800 81365010948000 83317771210752 85717871616000 86789345011200 89014712832000 92575301345280 96432605568000 100141551936000 104147214013440 106817655398400 108486681264000 115719126681600 128576807424000 130184017516800 133522069248000 138862952017920 144648908352000 154292168908800 160226483097600 162730021896000 166635542421504 173578690022400 178029425664000 192865211136000 200283103872000 208294428026880 216973362528000 231438253363200 257153614848000 260368035033600 267044138496000 277725904035840 289297816704000 320452966195200 325460043792000 347157380044800 385730422272000 400566207744000 416588856053760 433946725056000 462876506726400 520736070067200 534088276992000 578595633408000 650920087584000 694314760089600 771460844544000 801132415488000 833177712107520 867893450112000 1041472140134400 1157191266816000 1301840175168000 1388629520179200 1602264830976000 1735786900224000 2082944280268800 2314382533632000 2603680350336000 3471573800448000 4165888560537600 5207360700672000 6943147600896000 10414721401344000 20829442802688000
- Sum of all divisors σ(n): 84151619651447712
- Sum of proper divisors (its aliquot sum) s(n): 63322176848759712
- 20829442802688000 is an abundant number, because the sum of its proper divisors (63322176848759712) is greater than itself. Its abundance is 42492734046071712
Bases of 20829442802688000
- Binary: 10010100000000001000100100100110001111110100000000000002
- Hexadecimal: 0x4A0044931FA000
- Base-36: 5P3F5X8G000
Squares and roots of 20829442802688000
- 20829442802688000 squared (208294428026880002) is 433865687470450924500025344000000
- 20829442802688000 cubed (208294428026880003) is 9037180521214665190000968586454391324672000000000
-
The
square root of 20829442802688000 is 144324089.4746542303 -
The
cube root of 20829442802688000 is 275143.4746760279
Scales and comparisons
How big is 20829442802688000?- 20,829,442,802,688,000 seconds is equal to 662,311,851 years, 22 weeks, 2 days.
-
To count from 1 to 20,829,442,802,688,000 would take you about one billion, nine hundred eighty-six million, nine hundred thirty-five thousand, five hundred fifty-four 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 20829442802688000 cubic inches would be around 22928.6 feet tall.
Recreational maths with 20829442802688000
- 20829442802688000 backwards is 00088620824492802
- The number of decimal digits it has is: 17
- The sum of 20829442802688000's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 20829442802688000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 20829442802688000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/20829442802688000/
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The information we have on file for 20829442802688000 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!
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