82681306188130125
82,681,306,188,130,125 is an odd composite number composed of five prime numbers multiplied together.
82681306188130125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 82681306188130125:
34 × 53 × 74 × 292 × 20112
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 29 × 29 × 2011 × 2011)See below for interesting mathematical facts about the number 82681306188130125 from the Numbermatics database.
Names of 82681306188130125
- Cardinal: 82681306188130125 can be written as Eighty-two quadrillion, six hundred eighty-one trillion, three hundred six billion, one hundred eighty-eight million, one hundred thirty thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 8.2681306188130125 × 1016
Factors of 82681306188130125
Divisors of 82681306188130125
- Number of divisors d(n): 900
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 29 35 45 49 63 75 81 87 105 125 135 145 147 175 189 203 225 245 261 315 343 375 405 435 441 525 567 609 675 725 735 783 841 875 945 1015 1029 1125 1225 1305 1323 1421 1575 1715 1827 2011 2025 2175 2205 2349 2401 2523 2625 2835 3045 3087 3375 3625 3675 3915 3969 4205 4263 4725 5075 5145 5481 5887 6033 6125 6525 6615 7105 7203 7569 7875 8575 9135 9261 9947 10055 10125 10875 11025 11745 12005 12615 12789 14077 14175 15225 15435 16443 17661 18099 18375 19575 19845 21025 21315 21609 22707 23625 25375 25725 27405 27783 29435 29841 30165 32625 33075 35525 36015 37845 38367 41209 42231 42875 45675 46305 49735 50275 52983 54297 55125 58319 58725 60025 63075 63945 64827 68121 69629 70385 70875 76125 77175 82215 88305 89523 90495 97875 98539 99225 105125 106575 108045 113535 115101 123627 126693 128625 137025 138915 147175 149205 150825 158949 162891 165375 174957 177625 180075 189225 191835 194481 206045 208887 211155 228375 231525 248675 251375 264915 268569 271485 288463 291595 293625 295617 300125 315375 319725 324135 340605 348145 351925 370881 380079 385875 408233 411075 441525 447615 452475 476847 492695 496125 524871 532875 540225 567675 575505 618135 626661 633465 685125 689773 694575 735875 746025 754125 794745 805707 814455 865389 874785 886851 900375 946125 959175 972405 1030225 1044435 1055775 1112643 1140237 1157625 1224699 1243375 1324575 1342845 1357425 1442315 1457975 1478085 1574613 1598625 1620675 1691251 1703025 1740725 1759625 1854405 1879983 1900395 2019241 2041165 2055375 2069319 2207625 2238075 2262375 2384235 2463475 2596167 2624355 2660553 2701125 2838375 2857631 2877525 3090675 3133305 3167325 3337929 3448865 3472875 3674097 3730125 3973725 4028535 4044121 4072275 4326945 4373925 4434255 4723839 4795875 4828411 4862025 5073753 5151125 5222175 5278875 5563215 5639949 5701185 6057723 6123495 6207957 6622875 6714225 6787125 7211575 7289875 7390425 7788501 7873065 7981659 8103375 8456255 8515125 8572893 8703625 9272025 9399915 9501975 10096205 10205825 10346595 11022291 11190375 11838757 11921175 12132363 12317375 12980835 13121775 13302765 14288155 14387625 14485233 15221259 15453375 15666525 15836625 16689645 17244325 18173169 18370485 18623871 19868625 20003417 20142675 20220605 20361375 21634725 21869625 22171275 23365503 23619195 24142055 24310125 25368765 25718679 26110875 27816075 28199745 28308847 28505925 30288615 30617475 31039785 33066873 33571125 35516271 36057875 36397089 36952125 38942505 39365325 39908295 42281275 42864465 43455699 45663777 46360125 46999575 47509875 50481025 51029125 51732975 54519507 55111455 55871613 59193785 59605875 60010251 60661815 64904175 65608875 66513825 71440775 72426165 76106295 77156037 78332625 82871299 83448225 84926541 86221625 90865845 91852425 93119355 100017085 100713375 101103025 106548813 108173625 109191267 110856375 116827515 117279509 118095975 120710275 126843825 128593395 130367097 136991331 139080375 140023919 140998725 141544235 142529625 151443075 153087375 155198925 163558521 165334365 177581355 180030753 181985445 194712525 196826625 198161929 199541475 211406375 214322325 217278495 228318885 231468111 234997875 248613897 252405125 254779623 258664875 272597535 275557275 279358065 295968925 300051255 303309075 319646439 324520875 327573801 332569125 351838527 357203875 362130825 380531475 385780185 391101291 414356495 417241125 420071757 424632705 454329225 459262125 465596775 500085425 505515125 532744065 540092259 545956335 580099093 584137575 586397545 590479875 594485787 603551375 634219125 642966975 651835485 684956655 700119595 704993625 707721175 745841691 757215375 764338869 775994625 817792605 820956563 826671825 887906775 900153765 909927225 958939317 973562625 990809645 997707375 1055515581 1071611625 1086392475 1141594425 1157340555 1243069485 1260215271 1273898115 1362987675 1377786375 1387133503 1396790325 1479844625 1500256275 1516545375 1598232195 1620276777 1637869005 1740297279 1759192635 1783457361 1810654125 1902657375 1928900925 1955506455 2071782475 2100358785 2123163525 2237525073 2271646125 2293016607 2327983875 2462869689 2500427125 2663720325 2700461295 2729781675 2900495465 2920687875 2931987725 2972428935 3166546743 3214834875 3259177425 3401105761 3424783275 3500597975 3538605875 3729208455 3780645813 3821694345 4060693651 4088963025 4104782815 4133359125 4161400509 4439533875 4500768825 4549636125 4794696585 4954048225 5220891837 5277577905 5350372083 5431962375 5707972125 5746695941 5786702775 6215347425 6301076355 6369490575 6712575219 6814938375 6935667515 6983951625 7388609067 7501281375 7991160975 8101383885 8189345025 8701486395 8795963175 8917286805 9499640229 9644504625 9709934521 9777532275 10203317283 10358912375 10501793925 10615817625 11187625365 11341937439 11465083035 12182080953 12314348445 12484201527 13318601625 13502306475 13648908375 14502477325 14659938625 14862144675 15662675511 15832733715 16051116249 16295887125 17005528805 17123916375 17240087823 17502989875 18646042275 18903229065 19108471725 20303468255 20444815125 20523914075 20807002545 22165827201 22503844125 23807740327 23973482925 24770241125 26104459185 26387889525 26751860415 28733479705 28933513875 29129803563 30609951849 31076737125 31505381775 31847452875 33562876095 34678337575 36546242859 36943045335 37452604581 39955804875 40226871587 40506919425 40946725125 43507431975 43979815875 44586434025 46988026533 47498201145 48549672605 48887661375 51016586415 51720263469 52508969625 55938126825 56709687195 57325415175 60910404765 61571742225 62421007635 66497481603 67511532375 71423220981 72512386625 74310723375 78313377555 79163668575 80255581245 85027644025 86200439115 87389410689 91829855547 93230211375 94516145325 95542358625 101517341275 102619570375 104035012725 109638728577 110829136005 112357813743 119038701635 119867414625 120680614761 130522295925 131939447625 133759302075 143667398525 145649017815 153049759245 155160790407 157526908875 166654182289 167814380475 173391687875 182731214295 184715226675 187263022905 201134357935 202534597125 214269662943 217537159875 222932170125 234940132665 237491005725 242748363025 255082932075 258601317345 262168232067 275489566641 279690634125 281588101109 283548435975 286627075875 304552023825 307858711125 312105038175 328916185731 332487408015 357116104905 362041844283 391566887775 395818342875 401277906225 425138220125 431002195575 436947053445 459149277735 465482371221 472580726625 499962546867 507586706375 520175063625 548193642885 554145680025 561789068715 595193508175 603403073805 642808988829 652611479625 668796510375 718336992625 728245089075 765248796225 775803952035 786504696201 833270911445 839071902375 844764303327 913656071475 923576133375 936315114525 1005671789675 1071348314715 1086125532849 1166579276023 1174700663325 1187455028625 1213741815125 1275414660375 1293006586725 1310841160335 1377447833205 1407940505545 1417742179875 1499887640601 1522760119125 1560525190875 1644580928655 1662437040075 1785580524525 1810209221415 1928426966487 1957834438875 2006389531125 2155010977875 2184735267225 2295746388675 2327411856105 2499812734335 2534292909981 2740968214425 2770728400125 2808945343575 2975967540875 3017015369025 3214044944145 3258376598547 3499737828069 3641225445375 3826243981125 3879019760175 3932523481005 4166354557225 4223821516635 4499662921803 4568280357375 4681575572625 5028358948375 5356741573575 5430627664245 5832896380115 5873503316625 6465032933625 6554205801675 6887239166025 7039702527725 7499438203005 7602878729943 8166054932161 8222904643275 8312185200375 8927902622625 9051046107075 9642134832435 10499213484207 10923676336125 11478731943375 11637059280525 12499063671675 12671464549905 13498988765409 13704841072125 14044726717875 15085076845125 16070224720725 16291882992735 17498689140345 19395098800875 19662617405025 20831772786125 21119107583175 22498314609015 22808636189829 24498164796483 26783707867875 27153138321225 29164481900575 31497640452621 32771029008375 34436195830125 35198512638625 37497191015025 38014393649715 40830274660805 41114523216375 45255230535375 48210674162175 52496067421035 58185296402625 62495318358375 63357322749525 67494943827045 73494494389449 80351123603625 81459414963675 87493445701725 94492921357863 98313087025125 105595537915875 112491573045075 114043180949145 122490823982415 135765691606125 145822409502875 157488202263105 187485955075125 190071968248575 204151373304025 220483483168347 241053370810875 262480337105175 316786613747625 337474719135225 367472471947245 407297074818375 437467228508625 472464606789315 562457865225375 570215904745725 612454119912075 661450449505041 787441011315525 950359841242875 1020756866520125 1102417415841735 1312401685525875 1687373595676125 1837362359736225 2362323033946575 2851079523728625 3062270599560375 3307252247525205 3937205056577625 5512087079208675 9186811798681125 11811615169732875 16536261237626025 27560435396043375 82681306188130125
- Sum of all divisors σ(n): 186329400568178868
- Sum of proper divisors (its aliquot sum) s(n): 103648094380048743
- 82681306188130125 is an abundant number, because the sum of its proper divisors (103648094380048743) is greater than itself. Its abundance is 20966788191918618
Bases of 82681306188130125
- Binary: 1001001011011111000110101101111001110100010100111010011012
- Hexadecimal: 0x125BE35BCE8A74D
- Base-36: MM42RP4CJT9
Squares and roots of 82681306188130125
- 82681306188130125 squared (826813061881301252) is 6836198392975324901279443932515625
- 82681306188130125 cubed (826813061881301253) is 565225812492395946807352490887482187360906095703125
-
The
square root of 82681306188130125 is 287543572.6774815687 -
The
cube root of 82681306188130125 is 435648.0518844275
Scales and comparisons
How big is 82681306188130125?- 82,681,306,188,130,125 seconds is equal to 2,629,009,786 years, 36 weeks, 6 days, 14 hours, 48 minutes, 45 seconds.
-
To count from 1 to 82,681,306,188,130,125 would take you about seven billion, eight hundred eighty-seven million, twenty-nine thousand, three hundred sixty 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 82681306188130125 cubic inches would be around 36304 feet tall.
Recreational maths with 82681306188130125
- 82681306188130125 backwards is 52103188160318628
- 82681306188130125 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 82681306188130125's digits is 63
- More coming soon!
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The information we have on file for 82681306188130125 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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