820430048080916325
820,430,048,080,916,325 is an odd composite number composed of four prime numbers multiplied together.
820430048080916325 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of five hundred forty-six divisors.
Prime factorization of 820430048080916325:
312 × 52 × 13 × 416
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 41 × 41 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 820430048080916325 from the Numbermatics database.
Names of 820430048080916325
- Cardinal: 820430048080916325 can be written as Eight hundred twenty quadrillion, four hundred thirty trillion, forty-eight billion, eighty million, nine hundred sixteen thousand, three hundred twenty-five.
Scientific notation
- Scientific notation: 8.20430048080916325 × 1017
Factors of 820430048080916325
Divisors of 820430048080916325
- Number of divisors d(n): 546
-
Complete list of divisors:
1 3 5 9 13 15 25 27 39 41 45 65 75 81 117 123 135 195 205 225 243 325 351 369 405 533 585 615 675 729 975 1025 1053 1107 1215 1599 1681 1755 1845 2025 2187 2665 2925 3075 3159 3321 3645 4797 5043 5265 5535 6075 6561 7995 8405 8775 9225 9477 9963 10935 13325 14391 15129 15795 16605 18225 19683 21853 23985 25215 26325 27675 28431 29889 32805 39975 42025 43173 45387 47385 49815 54675 59049 65559 68921 71955 75645 78975 83025 85293 89667 98415 109265 119925 126075 129519 136161 142155 149445 164025 177147 196677 206763 215865 226935 236925 249075 255879 269001 295245 327795 344605 359775 378225 388557 408483 426465 448335 492075 531441 546325 590031 620289 647595 680805 710775 747225 767637 807003 885735 895973 983385 1033815 1079325 1134675 1165671 1225449 1279395 1345005 1476225 1638975 1723025 1770093 1860867 1942785 2042415 2132325 2241675 2302911 2421009 2657205 2687919 2825761 2950155 3101445 3237975 3404025 3497013 3676347 3838185 4035015 4428675 4479865 4916925 5169075 5310279 5582601 5828355 6127245 6396975 6725025 6908733 7263027 8063757 8477283 8850465 9304335 9713925 10212075 10491039 11029041 11514555 12105045 13286025 13439595 14128805 14750775 15507225 15930837 16747803 17485065 18381735 19190925 20175075 21789081 22399325 24191271 25431849 26551395 27913005 29141775 30636225 31473117 33087123 34543665 36315135 36734893 40318785 42386415 44252325 46521675 47792511 50243409 52455195 55145205 57572775 60525225 67197975 70644025 72573813 76295547 79654185 83739015 87425325 91908675 94419351 99261369 108945405 110204679 115856201 120956355 127159245 132756975 139565025 143377533 150730227 157365585 165435615 172718325 181575675 183674465 201593925 211932075 217721439 228886641 238962555 251217045 262275975 275726025 283258053 297784107 330614037 347568603 362869065 381477735 398270925 418695075 430132599 452190681 472096755 496306845 544727025 551023395 579281005 604781775 635796225 653164317 686659923 716887665 753651135 786827925 827178075 893352321 918372325 991842111 1042705809 1088607195 1144433205 1194812775 1256085225 1290397797 1356572043 1416290265 1488920535 1506130613 1653070185 1737843015 1814345325 1907388675 1959492951 2059979769 2150662995 2260953405 2360483775 2481534225 2755116975 2896405025 2975526333 3128117427 3265821585 3433299615 3584438325 3768255675 3871193391 4069716129 4466761605 4518391839 4750104241 4959210555 5213529045 5443035975 5722166025 5878478853 6179939307 6451988985 6782860215 7081451325 7444602675 7530653065 8265350925 8689215075 8926578999 9384352281 9797464755 10299898845 10753314975 11304767025 11613580173 12209148387 13555175517 14250312723 14877631665 15640587135 16329107925 17166498075 17635436559 18539817921 19355966955 20348580645 22333808025 22591959195 23750521205 24796052775 26067645225 26779736997 28153056843 29392394265 30899696535 32259944925 33914301075 36627445161 37653265325 40665526551 42750938169 44632894995 46921761405 48987323775 51499494225 52906309677 55619453763 58067900865 61045741935 61751355133 67775877585 71251563615 74388158325 78202935675 80339210991 84459170529 88177182795 92699089605 96779834775 101742903225 112959795975 118752606025 121996579653 128252814507 133898684985 140765284215 146961971325 154498482675 158718929031 166858361289 183137225805 185254065399 203327632755 213754690845 223164474975 234608807025 241017632973 253377511587 264531548385 278097268815 290339504325 305228709675 308756775665 338879387925 356257818075 365989738959 384758443521 401696054955 422295852645 440885913975 463495448025 476156787093 500575083867 555762196197 609982898265 641264072535 669493424925 703826421075 723052898919 760132534761 793594645155 834291806445 915686129025 926270326995 1016638163775 1068773454225 1097969216877 1154275330563 1205088164865 1266887557935 1322657741925 1390486344075 1501725251601 1543783878325 1667286588591 1829948694795 1923792217605 2008480274775 2111479263225 2169158696757 2280397604283 2380783935465 2502875419335 2778810980985 3049914491325 3206320362675 3293907650631 3462825991689 3615264494595 3800662673805 3967973225775 4171459032225 4631351634975 5001859765773 5489846084385 5771376652815 6025440824325 6334437789675 6507476090271 6841192812849 7508626258005 8336432942955 9149743473975 9618961088025 9881722951893 10388477975067 10845793483785 11401988021415 11903919677325 12514377096675 13894054904925 15005579297319 16469538253155 17314129958445 18076322472975 19003313369025 19522428270813 20523578438547 25009298828865 27449230421925 28856883264075 29645168855679 31165433925201 32537380451355 34205964064245 37543131290025 41682164714775 45016737891957 49408614759465 51942389875335 54228967418925 57009940107075 61570735315641 75027896486595 82347691265775 86570649792225 88935506567037 93496301775603 97612141354065 102617892192735 125046494144325 135050213675871 148225844278395 155827169626005 162686902256775 171029820321225 225083689459785 247043073797325 259711949376675 266806519701111 280488905326809 307853676578205 375139482432975 405150641027613 444677532835185 467481508878015 488060706770325 513089460963675 675251068379355 741129221391975 779135848130025 800419559103333 841466715980427 1125418447298925 1215451923082839 1334032598505555 1402444526634045 1539268382891025 2025753205138065 2223387664175925 2337407544390075 2524400147941281 3376255341896775 3646355769248517 4002097795516665 4207333579902135 6077259615414195 6670162992527775 7012222633170225 10128766025690325 10939067307745551 12622000739706405 18231778846242585 20010488977583325 21036667899510675 30386298077070975 32817201923236653 54695336538727755 63110003698532025 91158894231212925 164086009616183265 273476682693638775 820430048080916325
- Sum of all divisors σ(n): 1684468052166933278
- Sum of proper divisors (its aliquot sum) s(n): 864038004086016953
- 820430048080916325 is an abundant number, because the sum of its proper divisors (864038004086016953) is greater than itself. Its abundance is 43607956005100628
Bases of 820430048080916325
- Binary: 1011011000101100000011001000001010101110101101101111011001012
- Hexadecimal: 0xB62C0C82AEB6F65
- Base-36: 68EA6GX39PB9
Squares and roots of 820430048080916325
- 820430048080916325 squared (8204300480809163252) is 673105463794054672814014651651505625
- 820430048080916325 cubed (8204300480809163253) is 552235948024083757799061796700335513298815015891828125
-
The
square root of 820430048080916325 is 905775937.0180443941 -
The
cube root of 820430048080916325 is 936153.7600484105 - Being both a perfect square and a perfect cube, 820430048080916325 is also a
perfect sixth number .
Scales and comparisons
How big is 820430048080916325?- 820,430,048,080,916,325 seconds is equal to 26,087,137,772 years, 10 weeks, 6 days, 16 hours, 18 minutes, 45 seconds.
-
To count from 1 to 820,430,048,080,916,325 would take you about seventy-eight billion, two hundred sixty-one million, four hundred thirteen thousand, three hundred sixteen 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 820430048080916325 cubic inches would be around 78012.8 feet tall.
Recreational maths with 820430048080916325
- 820430048080916325 backwards is 523619080840034028
- The number of decimal digits it has is: 18
- The sum of 820430048080916325's digits is 63
- More coming soon!
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The information we have on file for 820430048080916325 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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