138736100381319022125
138,736,100,381,319,022,125 is an odd composite number composed of five prime numbers multiplied together.
138736100381319022125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138736100381319022125:
3 × 53 × 17 × 236 × 435
(3 × 5 × 5 × 5 × 17 × 23 × 23 × 23 × 23 × 23 × 23 × 43 × 43 × 43 × 43 × 43)See below for interesting mathematical facts about the number 138736100381319022125 from the Numbermatics database.
Names of 138736100381319022125
- Cardinal: 138736100381319022125 can be written as One hundred thirty-eight quintillion, seven hundred thirty-six quadrillion, one hundred trillion, three hundred eighty-one billion, three hundred nineteen million, twenty-two thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38736100381319022125 × 1020
Factors of 138736100381319022125
Divisors of 138736100381319022125
- Number of divisors d(n): 672
-
Complete list of divisors:
1 3 5 15 17 23 25 43 51 69 75 85 115 125 129 215 255 345 375 391 425 529 575 645 731 989 1075 1173 1275 1587 1725 1849 1955 2125 2193 2645 2875 2967 3225 3655 4945 5375 5547 5865 6375 7935 8625 8993 9245 9775 10965 12167 13225 14835 16125 16813 18275 22747 24725 26979 27735 29325 31433 36501 39675 42527 44965 46225 48875 50439 54825 60835 66125 68241 74175 79507 84065 91375 94299 113735 123625 127581 134895 138675 146625 157165 182505 198375 206839 212635 224825 231125 238521 252195 274125 279841 304175 341205 370875 386699 397535 420325 471495 523181 568675 620517 637905 674475 693375 722959 785825 839523 912525 978121 1034195 1063175 1124125 1160097 1192605 1260975 1351619 1399205 1520875 1569543 1706025 1828661 1933495 1987675 2101625 2168877 2357475 2615905 2843375 2934363 3102585 3189525 3372375 3418801 3614795 3929125 4054857 4197615 4562625 4757297 4890605 5170975 5315875 5485983 5800485 5963025 6304875 6436343 6758095 6996025 7847715 8530125 8894077 9143305 9667475 9938375 10256403 10844385 11787375 12033163 13079525 14271891 14671815 15512925 15947625 16628057 17094005 18073975 19309029 20274285 20988075 22496783 23786485 24453025 25854875 26682231 27429915 29002425 29815125 31087237 32181715 33790475 34980125 36099489 39238575 42059203 44470385 45716525 48337375 49884171 51282015 54221925 58119617 60165815 65397625 67490349 71359455 73359075 77564625 78632423 83140285 85470025 90369875 93261711 96545145 101371425 104940375 109417831 112483915 118932425 122265125 126177609 133411155 137149575 145012125 147008443 148035889 155436185 160908575 168952375 174358851 180497445 196192875 204563771 210296015 222351925 228582625 235897269 249420855 256410075 271109625 276762749 290598085 300829075 328253493 337451745 356797275 366795375 382445311 393162115 415701425 427350125 441025329 444107667 466308555 482725725 506857125 517426009 547089155 562419575 594662125 613691313 630888045 667055775 685747875 715006451 735042215 740179445 777180925 804542875 830288247 871794255 902487225 967361669 1022818855 1051480075 1111759625 1147335933 1179486345 1247104275 1282050375 1336751191 1383813745 1452990425 1504145375 1552278027 1641267465 1687258725 1783986375 1808545729 1912226555 1965810575 2078507125 2145019353 2205126645 2220538335 2331542775 2413628625 2499143531 2516610113 2587130045 2735445775 2812097875 2902085007 3068456565 3154440225 3335278875 3381194189 3575032255 3675211075 3700897225 3885904625 4010253573 4151441235 4358971275 4512436125 4704966733 4836808345 5114094275 5257400375 5425637187 5736679665 5897431725 6235521375 6365543227 6683755955 6919068725 7264952125 7497430593 7549830339 7761390135 8206337325 8436293625 8796242153 9042728645 9561132775 9829052875 10143582567 10725096765 11025633225 11102691675 11657713875 11900798207 12495717655 12583050565 12935650225 13677228875 14114900199 14510425035 15342282825 15772201125 16445148373 16905970945 17875161275 18376055375 18504486125 19096629681 20051267865 20757206175 21794856375 22249318387 23524833665 24184041725 25570471375 26388726459 27128185935 28683398325 29487158625 30745277393 31827716135 33418779775 34595343625 35702394621 37487152965 37749151695 38806950675 41031686625 41596551767 43981210765 45213643225 47805663875 49335445119 50717912835 53625483825 55128166125 55513458375 57480301213 59503991035 62478588275 62915252825 64678251125 66747955161 70574500995 72552125175 76711414125 77767466347 82225741865 84529854725 89375806375 92235832179 95483148405 100256339325 103786030875 108214234859 111246591935 117624168325 120920208625 124789655301 131943632295 135640929675 143416991625 153726386965 159138580675 167093898875 172440903639 178511973105 187435764825 188745758475 194034753375 202313569519 207982758835 219906053825 226068216125 233302399041 246677225595 253589564175 268127419125 273718358761 287401506065 297519955175 312392941375 314576264125 324642704577 333739775805 352872504975 362760625875 378238412579 388837331735 411128709325 422649273625 461179160895 477415742025 501281696625 511734322901 541071174295 556232959675 588120841625 606940708557 623948276505 659718161475 678204648375 707141380039 768631934825 795692903375 821155076283 862204518195 892559865525 937178824125 943728792375 956720690641 1011567847595 1039913794175 1099530269125 1134715237737 1166511995205 1233386127975 1267947820875 1322046927899 1368591793805 1437007530325 1487599775875 1535202968703 1623213522885 1668698879025 1764362524875 1788651725981 1891192062895 1944186658675 2055643546625 2121424140117 2305895804475 2387078710125 2558671614505 2705355871475 2781164798375 2870162071923 3034703542785 3119741382525 3298590807375 3535706900195 3843159674125 3966140783697 4105775381415 4311022590975 4462799327625 4653212098937 4783603453205 5057839237975 5199568970875 5365955177943 5673576188685 5832559976025 6166930639875 6610234639495 6842958969025 7185037651625 7676014843515 8116067614425 8343494395125 8699483489317 8943258629905 9455960314475 9720933293375 10607120700585 11529479022375 11769889426723 12793358072525 13526779357375 13959636296811 14350810359615 15173517713925 15598706912625 16264251740897 17678534500975 19830703918485 20528876907075 21555112954875 22004575884743 23266060494685 23918017266025 25289196189875 26098450467951 26829775889715 28367880943425 29162799880125 30407079341677 33051173197475 34214794845125 35309668280169 38380074217575 40580338072125 41138989697563 43497417446585 44716293149525 47279801572375 48792755222691 53035603502925 58849447133615 63966790362625 66013727654229 69798181484055 71754051798075 75867588569625 81321258704485 88392672504875 91221238025031 99153519592425 102644384535375 110022879423715 116330302473425 119590086330125 123416969092689 130492252339755 134148879448575 141839404717125 152035396708385 165255865987375 176548341400845 191900371087875 200088120254291 205694948487815 217487087232925 223581465747625 243963776113455 265178017514625 294247235668075 330068638271145 348990907420275 358770258990375 374077790040631 406606293522425 456106190125155 495767597962125 506105245349089 550114397118575 581651512367125 600264360762873 617084845463445 652461261698775 670744397242875 699362824858571 760176983541925 882741707004225 946196763043949 1000440601271455 1028474742439075 1087435436164625 1122233370121893 1219818880567275 1471236178340375 1518315736047267 1650343191355725 1744954537101375 1870388950203155 2033031467612125 2098088474575713 2280530950625775 2530526226745445 2750571985592875 2838590289131847 3001321803814365 3085424227317225 3262306308493875 3496814124292855 3800884917709625 4413708535021125 4730983815219745 5002203006357275 5142373712195375 5611166850609465 6099094402836375 7591578680236335 8251715956778625 8603789170934513 9351944751015775 10490442372878565 11402654753128875 12652631133727225 14192951445659235 15006609019071825 15427121136586125 16085344971747133 17484070621464275 21762525550010827 23654919076098725 25011015031786375 25811367512803539 28055834253047325 37957893401181675 43018945854672565 46759723755078875 48256034915241399 52452211864392825 63263155668636125 65287576650032481 70964757228296175 75033045095359125 80426724858735665 87420353107321375 108812627750054135 118274595380493625 129056837564017695 140279171265236625 189789467005908375 215094729273362825 241280174576206995 262261059321964125 326437883250162405 354823786141480875 369962934350184059 402133624293678325 544063138750270675 645284187820088475 1075473646366814125 1109888803050552177 1206400872881034975 1632189416250812025 1849814671750920295 2010668121468391625 2720315693751353375 3226420939100442375 5549444015252760885 6032004364405174875 8160947081254060125 9249073358754601475 27747220076263804425 46245366793773007375 138736100381319022125
- Sum of all divisors σ(n): 261631908346019612544
- Sum of proper divisors (its aliquot sum) s(n): 122895807964700590419
- 138736100381319022125 is a deficient number, because the sum of its proper divisors (122895807964700590419) is less than itself. Its deficiency is 15840292416618431706
Bases of 138736100381319022125
- Binary: 11110000101010110011010010000111101110011110111010011000110001011012
- Hexadecimal: 0x78559A43DCF74C62D
- Base-36: TA1V73EIS9UEL
Squares and roots of 138736100381319022125
- 138736100381319022125 squared (1387361003813190221252) is 19247705549015428116276621634366239515625
- 138736100381319022125 cubed (1387361003813190221253) is 2670351609158275594783064312564430199678855308711658658203125
-
The
square root of 138736100381319022125 is 11778628968.6584075761 -
The
cube root of 138736100381319022125 is 5176821.1488134667
Scales and comparisons
How big is 138736100381319022125?- 138,736,100,381,319,022,125 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,736,100,381,319,022,125 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 138736100381319022125 cubic inches would be around 431401.8 feet tall.
Recreational maths with 138736100381319022125
- 138736100381319022125 backwards is 521220913183001637831
- The number of decimal digits it has is: 21
- The sum of 138736100381319022125's digits is 66
- More coming soon!
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The information we have on file for 138736100381319022125 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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