138013123627087217523
138,013,123,627,087,217,523 is an odd composite number composed of four prime numbers multiplied together.
138013123627087217523 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred eighty divisors.
Prime factorization of 138013123627087217523:
33 × 76 × 196 × 314
(3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 19 × 19 × 19 × 19 × 19 × 19 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 138013123627087217523 from the Numbermatics database.
Names of 138013123627087217523
- Cardinal: 138013123627087217523 can be written as One hundred thirty-eight quintillion, thirteen quadrillion, one hundred twenty-three trillion, six hundred twenty-seven billion, eighty-seven million, two hundred seventeen thousand, five hundred twenty-three.
Scientific notation
- Scientific notation: 1.38013123627087217523 × 1020
Factors of 138013123627087217523
Divisors of 138013123627087217523
- Number of divisors d(n): 980
-
Complete list of divisors:
1 3 7 9 19 21 27 31 49 57 63 93 133 147 171 189 217 279 343 361 399 441 513 589 651 837 931 961 1029 1083 1197 1323 1519 1767 1953 2401 2527 2793 2883 3087 3249 3591 4123 4557 5301 5859 6517 6727 6859 7203 7581 8379 8649 9261 9747 10633 11191 12369 13671 15903 16807 17689 18259 19551 20181 20577 21609 22743 25137 25947 28861 29791 31899 33573 37107 41013 45619 47089 48013 50421 53067 54777 58653 60543 61731 64827 68229 74431 78337 86583 89373 95697 100719 111321 117649 123823 127813 130321 136857 141267 144039 151263 159201 164331 175959 181629 185193 202027 208537 212629 223293 235011 259749 268119 287091 302157 319333 329623 336091 346921 352947 371469 383439 390963 410571 423801 432117 453789 477603 492993 521017 548359 566029 606081 625611 637887 669879 705033 779247 804357 866761 894691 912247 923521 957999 988869 1008273 1040763 1058841 1114407 1150317 1172889 1231713 1271403 1296351 1414189 1459759 1488403 1563051 1645077 1698087 1818243 1876833 1913661 2009637 2115099 2235331 2307361 2352637 2428447 2476099 2600283 2684073 2736741 2770563 2873997 2966607 3024819 3122289 3176523 3343221 3450951 3518667 3647119 3838513 3962203 4039951 4242567 4379277 4465209 4689153 4935231 5094261 5454729 5630499 5740983 6067327 6262837 6385729 6464647 6591499 6705993 6922083 7057911 7285341 7428297 7800849 8052219 8210223 8311689 8621991 8899821 9074457 9366867 9899323 10218313 10418821 10754551 10941357 11515539 11886609 12119853 12727701 13137831 13395627 14067459 14805693 15282783 16151527 16468459 16999129 17332693 17546899 18201981 18788511 19157187 19393941 19774497 20117979 20766249 21173733 21856023 22284891 23402547 24156657 24630669 24935067 26869591 27735421 28279657 29697969 30654939 31256463 32263653 32824071 34546617 35659827 36359559 38183103 39413493 40186881 42471289 43839859 44700103 45252529 46140493 47045881 48454581 49405377 50997387 51998079 52640697 54605943 56365533 57471561 58181823 59323491 60353937 62298747 63521199 65568069 66854673 69295261 71528191 72931747 75281857 76759069 80608773 83206263 84838971 89093907 91964817 93769389 96790959 98472213 103639851 106979481 109078677 113060689 115279213 118993903 121328851 122828293 125238481 127413867 131519577 134100309 135757587 138421479 141137643 145363743 148216131 152992161 155994237 157922091 163817829 169096599 172414683 174545469 177970473 188087137 194147947 197957599 204336469 207885783 214584573 218795241 225845571 230277207 241826319 249618789 254516913 267281721 275894451 281308167 290372877 306879013 312900721 316767703 322983451 329321167 333391081 339182067 345837639 356981709 363986553 368484879 375715443 382241601 394558731 402300927 407272761 415264437 423412929 436091229 444648393 458976483 467982711 473766273 500697337 510522229 526972999 537313483 564261411 582443841 593872797 613009407 623657349 643753719 656385723 677536713 690831621 725478957 748856367 763550739 806954491 832957321 849301957 859798051 876669367 920637039 938702163 950303109 968950353 987963501 1000173243 1017546201 1037512917 1070945127 1091959659 1105454637 1127146329 1146724803 1183676193 1206902781 1221818283 1245793311 1270238787 1316609959 1359035629 1385703193 1430355283 1458422311 1502092011 1531566687 1580918997 1611940449 1692784233 1747331523 1781618391 1839028221 1870972047 1931261157 1969157169 2032610139 2072494863 2148153091 2190305047 2217373921 2260884157 2305248169 2333737567 2379531139 2420863473 2498871963 2547905871 2579394153 2630008101 2761911117 2816106489 2850909327 2906851059 2963890503 3000519729 3052638603 3112538751 3212835381 3275878977 3316363911 3381438987 3504881359 3573655603 3688810993 3761194381 3882392911 3949829877 4077106887 4157109579 4291065849 4375266933 4506276033 4594700061 4742756991 4835821347 5078352699 5241994569 5344855173 5517084663 5830701247 5945113699 6018586357 6136685569 6334430539 6444459273 6570915141 6652121763 6782652471 6915744507 7001212701 7138593417 7262590419 7496615889 7643717613 7738182459 7890024303 8285733351 8448319467 8552727981 8720553177 8891671509 9001559187 9513249403 9699922351 10012486981 10208956177 10514644077 10720966809 11066432979 11283583143 11647178733 11849489631 12231320661 12471328737 12873197547 13125800799 13518828099 13784100183 14228270973 14507464041 15332135329 15521617447 15826189099 16136737183 16336162969 16656717973 17492103741 17835341097 18055759071 18410056707 19003291617 19333377819 19712745423 19956365289 20347957413 20747233521 21003638103 21415780251 21787771257 22489847667 22931152839 23214547377 23670072909 25015589221 25821676951 26328360667 27176750377 28539748209 29099767053 30037460943 30626868531 31543932231 32162900427 33199298937 33850749429 34941536199 35548468893 36693961983 37413986211 38619592641 39377402397 40814908729 41615795893 42130104499 42956798983 44341013773 45211091641 45996405987 46564852341 47478567297 48410211549 49008488907 49970153919 52476311223 53506023291 54167277213 55230170121 57009874851 58000133457 59138236269 59869095867 61043872239 62241700563 63010914309 64247340753 66592745821 67899456457 70087408867 71462693239 73765465309 75046767663 77465030853 78985082001 81530251131 85619244627 87299301159 90112382829 91880605593 94631796693 96488701281 99597896811 101552248287 104824608597 108651322129 110783323693 112957160281 114353140783 116597025811 120354180241 122444726187 124847387679 126390313497 128870396949 133023041319 135633274923 137989217961 139694557023 142435701891 145230634647 147025466721 149910461757 157428933669 160518069873 162501831639 165690510363 171029624553 180751738657 184298524669 190237252639 199778237463 203698369371 210262226601 214388079717 221296395927 225140302989 232395092559 236955246003 244590753393 256857733881 261897903477 270337148487 275641816779 291310571251 294910731493 300697592881 310387096411 316477641487 325953966387 332349971079 338871480843 343059422349 349791077433 361062540723 367334178561 374542163037 379170940491 386611190847 399069123957 406899824769 413967653883 419083671069 427307105673 435691903941 441076400163 449731385271 475296195199 490611862069 500238852673 516358257163 542255215971 552895574007 570711757917 599334712389 611095108113 630786679803 643164239151 663889187781 675420908967 697185277677 710865738009 733772260179 775483265851 790700121967 800471985481 816179180677 842479261687 873931713753 884732194479 902092778643 931161289233 949432924461 977861899161 997049913237 1016614442529 1029178267047 1049373232299 1083187622169 1102002535683 1123626489111 1137512821473 1159833572541 1197207371871 1220699474307 1265262170599 1290089672683 1331660768473 1401543840871 1425888585597 1471835586207 1500716558019 1549074771489 1626765647913 1658686722021 1712135273751 1798004137167 1833285324339 1892360039409 1929492717453 1991667563343 2064375120451 2104883150167 2172709674877 2215343490409 2286729424579 2326449797553 2372100365901 2401415956443 2448537542031 2527437785061 2621795141259 2654196583437 2706278335929 2793483867699 2848298773383 2933585697483 2991149739711 3049843327587 3087534801141 3148119696897 3249562866507 3434283034483 3501671968711 3614507800141 3795786511797 3870269018049 3994982305419 4204631522613 4277665756791 4415506758621 4502149674057 4647224314467 4880296943739 4976060166063 5136405821253 5534900853769 5603303898367 5713254264739 5897354831809 6193125361353 6314649450501 6518129024631 6646030471227 6860188273737 6979349392659 7116301097703 7204247869329 7345612626093 7582313355183 7865385423777 7962589750311 8118835007787 8380451603097 8544896320149 9030627708781 9321625379311 9810806886097 10302849103449 10505015906133 10843523400423 11387359535391 11610807054147 11984946916257 12613894567839 12832997270373 13246520275863 13506449022171 13941672943401 14734182051169 15208967724139 15507404432863 16007105972053 16604702561307 16809911695101 17139762794217 17692064495427 18579376084059 18943948351503 19554387073893 19938091413681 20580564821211 20938048177977 21348903293109 21612743607987 22036837878279 22746940065549 24039981241381 24511703780977 25301554600987 27091883126343 27964876137933 29432420658291 30908547310347 31515047718399 32530570201269 34162078606173 34832421162441 35954840748771 37841683703517 39223127288569 39992779853173 41281483822663 43447859067001 44202546153507 45626903172417 46522213298589 48021317916159 49814107683921 50429735085303 51419288382651 53076193486281 55738128252177 56831845054509 58663161221679 59814274241043 61741694463633 65251377655177 68675648202679 72119943724143 73535111342931 75904663802961 81275649379029 83894628413799 88297261974873 92725641931041 94545143155197 97591710603807 106462774068973 108551831030041 112049741804371 117669381865707 119978339559519 123844451467989 130343577201003 132607638460521 136880709517251 139566639895767 144063953748477 149442323051763 151289205255909 154257865147953 159228580458843 171581926466839 177110882206909 195754132965531 206026944608037 216359831172429 220605334028793 227713991408883 243826948137087 251683885241397 264891785924619 279949458972211 288970386758641 304135013469007 319388322206919 325655493090123 336149225413113 353008145597121 359935018678557 371533354403967 391030731603009 397822915381563 410642128551753 418699919687301 432191861245431 456759643586239 480729537418753 514745779400517 531332646620727 587262398896593 618080833824111 649079493517287 661816002086379 683141974226649 745239418482811 759862817210287 784348192630597 839848376916633 866911160275923 912405040407021 958164966620757 976966479270369 1008447676239339 1059024436791363 1079805056035671 1114600063211901 1173092194809027 1239776175448363 1370278930758717 1442188612256259 1544237338201551 1593997939862181 1761787196689779 1854242501472333 2022792707310487 2128945094283049 2235718255448433 2279588451630861 2353044577891791 2519545130749899 2600733480827769 2737215121221063 2874494899862271 2930899437811107 3025343028718017 3365106761931271 3719328526345089 4110836792276151 4326565836768777 4632712014604653 4781993819586543 5319039720472009 5490437348414179 6068378121931461 6386835282849147 6707154766345299 6838765354892583 7059133733675373 7558635392249697 7802200442483307 8211645363663189 8678433228138541 10095320285793813 11157985579035267 12332510376828453 12979697510306331 14159548951173409 14902615659981343 15957119161416027 16471312045242537 18205134365794383 19160505848547441 20121464299035897 20516296064677749 21177401201026119 23555747333518897 26035299684415623 30285960857381439 33473956737105801 38433061438899253 42478646853520227 44707846979944029 47871357484248081 49413936135727611 54615403097383149 57481517545642323 70667242000556691 78105899053246869 90857882572144317 104318309619869401 115299184316697759 127435940560560681 134123540939832087 143614072452744243 148241808407182833 164890231334632279 212001726001670073 234317697159740607 269031430072294771 312954928859608203 345897552950093277 382307821681682043 402370622819496261 494670694003896837 636005178005010219 730228167339085807 807094290216884313 938864786578824609 1037692658850279831 1484012082011690511 2190684502017257421 2421282870650652939 2816594359736473827 4452036246035071533 5111597171373600649 6572053506051772263 7263848611951958817 15334791514120801947 19716160518155316789 46004374542362405841 138013123627087217523
- Sum of all divisors σ(n): 260186281321804171400
- Sum of proper divisors (its aliquot sum) s(n): 122173157694716953877
- 138013123627087217523 is a deficient number, because the sum of its proper divisors (122173157694716953877) is less than itself. Its deficiency is 15839965932370263646
Bases of 138013123627087217523
- Binary: 11101111011010100010001110010110110110001101001101011000011011100112
- Hexadecimal: 0x77B511CB6C69AC373
- Base-36: T4K4H82QXA5IR
Squares and roots of 138013123627087217523
- 138013123627087217523 squared (1380131236270872175232) is 19047622293305659960697487038738318255529
- 138013123627087217523 cubed (1380131236270872175233) is 2628821850368056589090027938969273967674238214447115920434667
-
The
square root of 138013123627087217523 is 11747898689.8545910777 -
The
cube root of 138013123627087217523 is 5167813.0594940757
Scales and comparisons
How big is 138013123627087217523?- 138,013,123,627,087,217,523 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,013,123,627,087,217,523 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 138013123627087217523 cubic inches would be around 430651.1 feet tall.
Recreational maths with 138013123627087217523
- 138013123627087217523 backwards is 325712780726321310831
- The number of decimal digits it has is: 21
- The sum of 138013123627087217523's digits is 72
- 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 138013123627087217523 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 138013123627087217523 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138013123627087217523/
Chicago style:
Numbermatics. 2024. "Number 138013123627087217523 - Facts about the integer". https://numbermatics.com/n/138013123627087217523/
The information we have on file for 138013123627087217523 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 138013123627087217523, math, Factors of 138013123627087217523, curriculum, school, college, exams, university, Prime factorization of 138013123627087217523, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, thirteen quadrillion, one hundred twenty-three trillion, six hundred twenty-seven billion, eighty-seven million, two hundred seventeen thousand, five hundred twenty-three.