138382457358537415359
138,382,457,358,537,415,359 is an odd composite number composed of four prime numbers multiplied together.
138382457358537415359 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 138382457358537415359:
310 × 73 × 313 × 475
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 31 × 31 × 31 × 47 × 47 × 47 × 47 × 47)See below for interesting mathematical facts about the number 138382457358537415359 from the Numbermatics database.
Names of 138382457358537415359
- Cardinal: 138382457358537415359 can be written as One hundred thirty-eight quintillion, three hundred eighty-two quadrillion, four hundred fifty-seven trillion, three hundred fifty-eight billion, five hundred thirty-seven million, four hundred fifteen thousand, three hundred fifty-nine.
Scientific notation
- Scientific notation: 1.38382457358537415359 × 1020
Factors of 138382457358537415359
Divisors of 138382457358537415359
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 3 7 9 21 27 31 47 49 63 81 93 141 147 189 217 243 279 329 343 423 441 567 651 729 837 961 987 1029 1269 1323 1457 1519 1701 1953 2187 2209 2303 2511 2883 2961 3087 3807 3969 4371 4557 5103 5859 6561 6627 6727 6909 7533 8649 8883 9261 10199 10633 11421 11907 13113 13671 15309 15463 16121 17577 19683 19881 20181 20727 22599 25947 26649 27783 29791 30597 31899 34263 35721 39339 41013 45167 45927 46389 47089 48363 52731 59049 59643 60543 62181 67797 68479 71393 77841 79947 83349 89373 91791 95697 102789 103823 107163 108241 118017 123039 135501 137781 139167 141267 145089 158193 178929 181629 186543 203391 205437 208537 214179 233523 239841 250047 268119 275373 287091 308367 311469 316169 321489 324723 329623 354051 369117 406503 413343 417501 423801 435267 474579 479353 499751 536787 544887 559629 610173 616311 625611 642537 700569 719523 726761 750141 757687 804357 826119 861273 925101 934407 948507 964467 974169 988869 1062153 1107351 1219509 1252503 1271403 1305801 1400177 1423737 1438059 1459759 1499253 1610361 1634661 1678887 1830519 1848933 1876833 1927611 2101707 2122849 2158569 2180283 2213183 2250423 2273061 2413071 2478357 2583819 2775303 2803221 2845521 2893401 2922507 2966607 3186459 3218513 3322053 3355471 3658527 3757509 3814209 3917403 4200531 4271211 4314177 4379277 4497759 4831083 4879681 4903983 5036661 5087327 5546799 5630499 5782833 6305121 6368547 6475707 6540849 6639549 6751269 6819183 7239213 7435071 7751457 8409663 8536563 8767521 8899821 9559377 9655539 9801239 9966159 10066413 10218313 10975581 11272527 11442627 11752209 12601593 12813633 12942531 13137831 13493277 14493249 14639043 14711949 14859943 15109983 15261981 15492281 16640397 16891497 17348499 18915363 19105641 19427121 19622547 19918647 20253807 20457549 21717639 22305213 22529591 23254371 23488297 25228989 25609689 26302563 26699463 28678131 28966617 29403717 29898477 30199239 30654939 32926743 33817581 34157767 34327881 35256627 35611289 37804779 38827593 39413493 40479831 43479747 43917129 44135847 44579829 45329949 45785943 46476843 49921191 50674491 52045497 56746089 57316923 58867641 59755941 61372647 65152917 65808319 66915639 67588773 68608673 69763113 70464891 75686967 76829067 78907689 80098389 86034393 86899851 88211151 89695431 90597717 91964817 98780229 99773903 101452743 102473301 102983643 104019601 105769881 106833867 113414337 116482779 118240479 121439493 130439241 131751387 132407541 133739487 135989847 137357829 139430529 149763573 151270111 152023473 156136491 157707137 171950769 176602923 179267823 184117941 195458751 197424957 200746917 202766319 205826019 209289339 211394673 227060901 229345007 230487201 236723067 239104369 240295167 260699553 264633453 271793151 275894451 296340687 299321709 304358229 307419903 308950929 312058803 317309643 320501601 340243011 349448337 354721437 364318479 395254161 397222623 401218461 412073487 418291587 449290719 453810333 456070419 460658233 468409473 473121411 480260711 515852307 529808769 537803469 552353823 586376253 592274871 602240751 608298957 617478057 627868017 634184019 681182703 688035021 691461603 698417321 710169201 717313107 720885501 728137207 782098659 793900359 815379453 827683353 889022061 897965127 913074687 922259709 926852787 936176409 951928929 961504803 1020729033 1048345011 1058890777 1064164311 1092955437 1103949959 1185762483 1203655383 1236220461 1254874761 1347872157 1361430999 1368211257 1381974699 1405228419 1419364233 1440782133 1547556921 1589426307 1605415049 1613410407 1657061469 1673730583 1759128759 1776824613 1824896871 1852434171 1902552057 2043548109 2064105063 2074384809 2095251963 2130507603 2151939321 2162656503 2184411621 2346295977 2381701077 2446138359 2483050059 2667066183 2693895381 2766779127 2780558361 2808529227 2884514409 3062187099 3092990993 3145035033 3176672331 3192492933 3224607631 3278866311 3311849877 3557287449 3610966149 3708661383 3764624283 4043616471 4084292997 4104633771 4145924097 4215685257 4258092699 4322346399 4642670763 4689373441 4768278921 4816245147 4840231221 4888921247 4971184407 5021191749 5330473839 5474690613 5557302513 5707656171 6130644327 6192315189 6223154427 6285755889 6391522809 6455817963 6487969509 6553234863 7038887931 7109695217 7145103231 7338415077 7412235439 7449150177 8081686143 8300337381 8425587681 8653543227 9186561297 9278972979 9435105099 9530016993 9577478799 9673822893 9836598933 9935549631 10671862347 10832898447 11125984149 11237905343 11293872849 12252878991 12313901313 12437772291 12774278097 12967039197 13928012289 14068120323 14304836763 14448735441 14520693663 14666763741 14913553221 15063575247 15991421517 16424071839 16671907539 17122968513 18576945567 18669463281 18857267667 19367453889 19463908527 19659704589 21116663793 21329085651 21435309693 21650936951 22015245231 22236706317 22347450531 22572253417 24245058429 24901012143 25276763043 25960629681 27559683891 27836918937 28305315297 28590050979 28732436397 29021468679 29509796799 29806648893 32015587041 32498695341 32825614087 33377952447 33713716029 33881618547 34222448729 36758636973 37313316873 38322834291 38901117591 41784036867 42204360969 42914510289 43346206323 43562080989 44000291223 44740659663 45190725741 47974264551 49272215517 49767866519 50015722617 51368905539 51885648073 55730836701 56571803001 58102361667 58979113767 63349991379 63987256953 64305929079 64952810853 66045735693 66710118951 67042351593 67716760251 72735175287 74703036429 75830289129 77881889043 78665337401 82679051673 83510756811 85770152937 86197309191 87064406037 89419946679 96046761123 97496086023 98476842261 100133857341 101141148087 101644855641 102667346187 110275910919 111939950619 114968502873 116703352773 125352110601 126613082907 130038618969 130686242967 132000873669 135572177223 143922793653 145370576671 147816646551 149303599557 150047167851 151556558657 154106716617 155656944219 167192510103 169715409003 174307085001 176937341301 190049974137 191961770859 192917787237 194858432559 198137207079 200130356853 201127054779 203150280753 218205525861 220400551727 224109109287 227490867387 229779298609 233645667129 235996012203 250532270433 257310458811 261193218111 268259840037 288140283369 292488258069 295430526783 300401572023 303423444261 304934566923 308002038561 330827732757 335819851857 344905508619 348375065633 350110058319 379839248721 390115856907 396002621007 406716531669 431768380959 436111730013 443449939653 447910798671 450141503553 454669675971 462320149851 466970832657 501577530309 509146227009 522921255003 530812023903 575885312577 578753361711 584575297677 600391070559 603381164337 609450842259 654616577583 661201655181 672327327861 682472602161 689337895827 700937001387 707988036609 751596811299 771931376433 783579654333 804779520111 877464774207 886291580349 910270332783 914803700769 924006115683 992483198271 1007459555571 1017594036697 1034716525857 1045125196899 1050330174957 1060895910599 1139517746163 1170347570721 1188007863021 1220149595007 1295305142877 1308335190039 1330349818959 1343732396013 1350424510659 1364009027913 1386960449553 1400912497971 1504732590927 1527438681027 1542803862089 1568763765009 1592436071709 1608455090263 1727655937731 1753725893031 1801173211677 1828352526777 1963849732749 1983604965543 2016981983583 2047417806483 2068013687481 2102811004161 2123964109827 2254790433897 2315794129299 2350738962999 2414338560333 2438625459431 2658874741047 2730810998349 2772018347049 2977449594813 3022378666713 3052782110091 3104149577571 3135375590697 3150990524871 3182687731797 3418553238489 3511042712163 3564023589063 3660448785021 3885915428631 3925005570117 4031197188039 4051273531977 4092027083739 4202737493913 4514197772781 4582316043081 4628411586267 4706291295027 4777308215127 4825365270789 5182967813193 5261177679093 5403519635031 5485057580331 5891549198247 5950814896629 6142253419449 6204041062443 6371892329481 6764371301691 6832417103537 6947382387897 7052216888997 7123158256879 7243015680999 7315876378293 7976624223141 8192432995047 8316055041147 8932348784439 9067136000139 9158346330273 9312448732713 9406126772091 9452971574613 9548063195391 10255659715467 10533128136489 10692070767189 10799627034623 10981346355063 11775016710351 12093591564117 12276081251217 12608212481739 13542593318343 13746948129243 13885234758801 14118873885081 14331924645381 14476095812367 15548903439579 15783533037279 16210558905093 16455172740993 17852444689887 18612123187329 19115676988443 20293113905073 20497251310611 20842147163691 21156650666991 21369474770637 21729047042997 21947629134879 23929872669423 24577298985141 24948165123441 27201408000417 27475038990819 28218380316273 28358914723839 28644189586173 30766979146401 31599384409467 32076212301567 32398881103869 32944039065189 35325050131053 36280774692351 36828243753651 37824637445217 41240844387729 41655704276403 42995773936143 43428287437101 46646710318737 47350599111837 47826919724759 48631676715279 49365518222979 49862107798153 53557334069661 55836369561987 57347030965329 60879341715219 61491753931833 62526441491073 63469952000973 64108424311911 65187141128991 65842887404637 71789618008269 73731896955423 74844495370323 75597389242361 82425116972457 84655140948819 85932568758519 92300937439203 94798153228401 96228636904701 97196643311607 98832117195567 105975150393159 108842324077053 110484731260953 113473912335651 124967112829209 130284862311303 139940130956211 142051797335511 143480759174277 145895030145837 148096554668937 149586323394459 160672002208983 167509108685961 172041092895987 182638025145657 184475261795499 190409856002919 192325272935733 197528662213911 215368854024807 221195690866269 224533486110969 226792167727083 247275350917371 253965422846457 257797706275557 276902812317609 288685910714103 291589929934821 317925451179477 326526972231159 331454193782859 334788438073313 340421737006953 374901338487627 390854586933909 419820392868633 426155392006533 430442277522831 437685090437511 444289664006811 448758970183377 482016006626949 502527326057883 516123278687961 553425785386497 576975818807199 592585986641733 646106562074421 663587072598807 673600458332907 680376503181249 741826052752113 761896268539371 773393118826671 874769789804463 953776353538431 979580916693477 994362581348577 1004365314219939 1021265211020859 1124704015462881 1172563760801727 1278466176019599 1291326832568493 1332868992020433 1346276910550131 1446048019880847 1507581978173649 1548369836063883 1660277356159491 1730927456421597 1777757959925199 1938319686223263 2020801374998721 2041129509543747 2225478158256339 2285688805618113 2320179356480013 2343519066513191 2624309369413389 2861329060615293 2938742750080431 2983087744045731 3013095942659817 3063795633062577 3374112046388643 3517691282405181 3873980497705479 4038830731650393 4338144059642541 4522745934520947 4645109508191649 4980832068478473 5192782369264791 5333273879775597 6123388528631241 6676434474769017 6857066416854339 6960538069440039 7030557199539573 7872928108240167 8583987181845879 8949263232137193 9039287827979451 10122336139165929 10553073847215543 11621941493116437 12116492194951179 13014432178927623 13568237803562841 14942496205435419 15578347107794373 15999821639326791 18370165585893723 20029303424307051 20571199250563017 20881614208320117 21091671598618719 23618784324720501 27117863483938353 30367008417497787 31659221541646629 34865824479349311 36349476584853537 44827488616306257 46735041323383119 47999464917980373 55110496757681169 60087910272921153 62644842624960351 63275014795856157 70856352974161503 81353590451815059 91101025252493361 94977664624939887 104597473438047933 109048429754560611 134482465848918771 140205123970149357 143998394753941119 165331490273043507 189825044387568471 212569058922484509 244060771355445177 313792420314143799 327145289263681833 403447397546756313 420615371910448071 495994470819130521 569475133162705413 637707176767453527 732182314066335531 941377260942431397 981435867791045499 1487983412457391563 1708425399488116239 2196546942199006593 2824131782827294191 2944307603373136497 4463950237372174689 5125276198464348717 6589640826597019779 15375828595393046151 19768922479791059337 46127485786179138453 138382457358537415359
- Sum of all divisors σ(n): 255573436258938470400
- Sum of proper divisors (its aliquot sum) s(n): 117190978900401055041
- 138382457358537415359 is a deficient number, because the sum of its proper divisors (117190978900401055041) is less than itself. Its deficiency is 21191478458136360318
Bases of 138382457358537415359
- Binary: 11110000000011100010011111111001001001100010100001101011010101111112
- Hexadecimal: 0x780713FC931435ABF
- Base-36: T7D533SNSDCXR
Squares and roots of 138382457358537415359
- 138382457358537415359 squared (1383824573585374153592) is 19149704504587426056164992338312089098881
- 138382457358537415359 cubed (1383824573585374153593) is 2649983167034661346921306933989729242942522868833513119113279
-
The
square root of 138382457358537415359 is 11763607327.6243548437 -
The
cube root of 138382457358537415359 is 5172418.7752275735
Scales and comparisons
How big is 138382457358537415359?- 138,382,457,358,537,415,359 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,382,457,358,537,415,359 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138382457358537415359 cubic inches would be around 431034.9 feet tall.
Recreational maths with 138382457358537415359
- 138382457358537415359 backwards is 953514735853754283831
- The number of decimal digits it has is: 21
- The sum of 138382457358537415359's digits is 99
- More coming soon!
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"Number 138382457358537415359 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 138382457358537415359 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138382457358537415359/
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Numbermatics. 2024. "Number 138382457358537415359 - Facts about the integer". https://numbermatics.com/n/138382457358537415359/
The information we have on file for 138382457358537415359 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 138382457358537415359, math, Factors of 138382457358537415359, curriculum, school, college, exams, university, Prime factorization of 138382457358537415359, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred eighty-two quadrillion, four hundred fifty-seven trillion, three hundred fifty-eight billion, five hundred thirty-seven million, four hundred fifteen thousand, three hundred fifty-nine.