138035315855739511638
138,035,315,855,739,511,638 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138035315855739511638 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 768 divisors.
138035315855739511638 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138035315855739511638:
2 × 32 × 11 × 13 × 17 × 43 × 11489 × 140897 × 45319
(2 × 3 × 3 × 11 × 13 × 17 × 43 × 11489 × 140897 × 45319)See below for interesting mathematical facts about the number 138035315855739511638 from the Numbermatics database.
Names of 138035315855739511638
- Cardinal: 138035315855739511638 can be written as One hundred thirty-eight quintillion, thirty-five quadrillion, three hundred fifteen trillion, eight hundred fifty-five billion, seven hundred thirty-nine million, five hundred eleven thousand, six hundred thirty-eight.
Scientific notation
- Scientific notation: 1.38035315855739511638 × 1020
Factors of 138035315855739511638
Divisors of 138035315855739511638
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 6 9 11 13 17 18 22 26 33 34 39 43 51 66 78 86 99 102 117 129 143 153 187 198 221 234 258 286 306 374 387 429 442 473 559 561 663 731 774 858 946 1118 1122 1287 1326 1419 1462 1677 1683 1989 2193 2431 2574 2838 3354 3366 3978 4257 4386 4862 5031 6149 6579 7293 8041 8514 9503 10062 11489 12298 13158 14586 16082 18447 19006 21879 22978 24123 28509 34467 36894 43758 45319 48246 55341 57018 68934 72369 85527 90638 103401 104533 110682 126379 135957 140897 144738 149357 171054 195313 206802 209066 252758 271914 281794 298714 313599 379137 390626 407871 422691 448071 494027 498509 585939 589147 627198 758274 770423 815742 845382 896142 940797 988054 997018 1137411 1171878 1178294 1268073 1344213 1482081 1495527 1540846 1549867 1642927 1757817 1767441 1831661 1881594 1948717 2148443 2274822 2311269 2395249 2536146 2539069 2688426 2964162 2991054 3099734 3285854 3515634 3534882 3663322 3897434 4296886 4446243 4486581 4622538 4649601 4790498 4928781 5078138 5302323 5434297 5494983 5846151 6058571 6422351 6445329 6480617 6933807 7185747 7617207 8398459 8474653 8892486 8973162 9299202 9857562 10015499 10604646 10868594 10989966 11692302 12117142 12844702 12890658 12961234 13867614 13948803 14371494 14786343 15234414 16302891 16484949 16796918 16949306 17538453 18175713 19267053 19335987 19441851 20030998 20148271 21435887 21557241 22851621 25195377 25333321 25423959 26347739 27897606 27929759 29572686 30046497 31138237 32605782 32969898 33128189 35076906 36351426 38534106 38671974 38883702 40296542 42871774 43114482 45703242 48908673 50390754 50666642 50847918 52695478 54527139 55859518 57801159 58325553 60092994 60444813 62276474 64307661 66256378 66644281 70645861 75586131 75999963 76271877 78761423 79043217 83789277 90139491 92383049 93414711 97817346 99384567 102995707 109054278 109179967 110170489 115602318 116651106 120889626 128615322 133288562 141291722 151172262 151999926 152543754 157522846 158086434 167578554 180278982 181334439 184766098 186829422 192922983 198769134 199932843 205991414 211937583 218359934 220340978 227999889 236284269 237129651 251367831 277149147 278666531 280244133 298153701 308987121 327539901 330511467 342520607 362668878 364410079 385845966 399865686 423875166 430666457 455999778 472568538 474259302 502735662 520669991 554298294 557333062 560488266 596307402 599798529 617974242 635812749 655079802 661022934 685041214 708852807 728820158 831447441 835999593 861332914 866375653 926961363 982619703 991534401 1027561821 1041339982 1093230237 1132952777 1199597058 1200979637 1271625498 1291999371 1338944191 1417705614 1562009973 1618765633 1662894882 1671999186 1732751306 1853922726 1965239406 1983068802 2055123642 2186460474 2265905554 2401959274 2507998779 2583998742 2599126959 2677888382 3082685463 3124019946 3237531266 3279690711 3398858331 3602938911 3875998113 4016832573 4686029919 4737331027 4856296899 5015997558 5198253918 5727369901 6165370926 6385311143 6559381422 6768709883 6797716662 7205877822 7751996226 7797380877 8033665146 8851389847 9372059838 9474662054 9712593798 10196574993 10808816733 11454739802 12050497719 12770622286 13537419766 14211993081 14568890697 14728386101 15594761754 17182109703 17702779694 17806421963 19155933429 20306129649 20393149986 21043953229 21617633466 22388809613 24100995438 26554169541 27519015761 28423986162 29137781394 29456772202 34364219406 35612843926 38311866858 40612259298 42087906458 42635979243 44185158303 44777619226 51546329109 53108339082 53419265889 55038031522 57467800287 60918388947 63131859687 67166428839 69606922219 70238422573 74455808713 79662508623 82557047283 83009044859 85271958486 88370316606 97365288317 103092658218 106838531778 108550289431 114935600574 115068068011 121836777894 126263719374 132555474909 134332857678 139213844438 140476845146 148911617426 159325017246 160257797667 165114094566 166018089718 189395579061 194730576634 201499286517 208820766657 210715267719 217100578862 223367426139 230136136022 231483485519 246276905743 247671141849 249027134577 265110949818 274568379149 291054524969 292095864951 302709173371 320515595334 325650868293 345204204033 357747204893 378791158122 380609763421 402998573034 417641533314 421430535438 446734852278 462966971038 492553811486 495342283698 498054269154 549136758298 582109049938 584191729902 605418346742 626462299971 632145803157 651301736586 670102278417 690408408066 694450456557 715494409786 738830717229 747081403731 761219526842 765676144409 823705137447 873163574907 876287594853 904889988847 908127520113 913099493449 976952604879 1035612612099 1073241614679 1141829290263 1183317677723 1194053183741 1252924599942 1264291606314 1265748748121 1340204556834 1388900913114 1411153762603 1477661434458 1494162807462 1531352288818 1647410274894 1746327149814 1752575189706 1809779977694 1816255040226 1826198986898 1953905209758 2071225224198 2083351369671 2146483229358 2216492151687 2283658580526 2297028433227 2366635355446 2388106367482 2471115412341 2531497496242 2619490724721 2714669966541 2724382560339 2739298480347 2822307525206 3020252170639 3201599774659 3219724844037 3425487870789 3549953033169 3569388928937 3582159551223 3797246244363 3935219253823 4166702739342 4186707397631 4233461287809 4432984303374 4594056866454 4667662445533 4942230824682 4947926924473 5238981449442 5429339933082 5448765120678 5478596960694 6040504341278 6403199549318 6439449688074 6850975741578 6891085299681 7099906066338 7138777857874 7164319102446 7594492488726 7870438507646 8144009899623 8217895441041 8373414795262 8466922575618 9060756511917 9335324891066 9604799323977 9895853848946 9953789877317 10649859099507 10708166786811 10746478653669 11391738733089 11805657761469 12560122192893 12700383863427 13016494454953 13782170599362 14002987336599 14843780773419 15383129810399 15522691388633 16288019799246 16435790882082 18121513023834 19209598647954 19907579754634 21299718199014 21416333573622 21492957307338 22783477466178 23611315522938 25120244385786 25400767726854 26032988909906 27182269535751 28005974673198 28814397971931 29687561546838 29861369631951 30766259620798 31045382777266 32124500360433 35416973284407 37680366578679 39049483364859 39263278218307 42008962009797 44531342320257 46149389431197 46568074165899 51344286900863 54364539071502 54427196169203 57628795943862 59722739263902 60679611791929 64249000720866 70833946568814 73360839721927 75360733157358 78098966729718 78526556436614 84017924019594 89062684640514 89584108895853 92298778862394 93136148331798 102688573801726 108854392338406 117148450094577 117789834654921 121359223583858 138448168293591 139704222497697 146721679443854 154032860702589 163281588507609 169214427914389 179168217791706 182038835375787 220082519165781 234296900189154 235579669309842 276896336587182 279408444995394 308065721405178 326563177015218 338428855828778 353369503964763 364077670751574 440165038331562 462098582107767 489844765522827 507643283743167 546116506127361 660247557497343 667475729711219 706739007929526 806969236941197 924197164215534 953690916385051 979689531045654 1015286567486334 1092233012254722 1247134275272759 1320495114994686 1334951459422438 1522929851229501 1613938473882394 1907381832770102 2002427189133657 2420907710823591 2494268550545518 2861072749155153 3045859702459002 3154516108042861 3741402825818277 4004854378267314 4841815421647182 5722145498310306 6007281567400971 6309032216085722 7262723132470773 7482805651636554 8583218247465459 9463548324128583 10490600080235561 11224208477454831 12014563134801942 13718477028000349 14525446264941546 16212745578545867 17166436494930918 18927096648257166 20981200160471122 22448416954909662 27436954056000698 28390644972385749 31471800240706683 32425491157091734 34699677188471471 41008709404557193 41155431084001047 48638236735637601 53626773836728637 56781289944771498 62943600481413366 69399354376942942 82017418809114386 82310862168002094 94415400722120049 97276473471275202 104099031565414413 107253547673457274 123026128213671579 123466293252003141 145914710206912803 160880321510185911 178340201364004537 188830801444240098 208198063130828826 246052256427343158 246932586504006282 291829420413825606 312297094696243239 321760643020371822 356680402728009074 369078384641014737 451095803450129123 482640964530557733 535020604092013611 589894512204015007 624594189392486478 697148059877472281 738156769282029474 902191606900258246 965281929061115466 1070041208184027222 1179789024408030014 1353287410350387369 1394296119754944562 1605061812276040833 1769683536612045021 2091444179632416843 2706574820700774738 3210123624552081666 3539367073224090042 4059862231051162107 4182888359264833686 5309050609836135063 6274332538897250529 7668628658652195091 8119724462102324214 10618101219672270126 12548665077794501058 15337257317304390182 23005885975956585273 46011771951913170546 69017657927869755819 138035315855739511638
- Sum of all divisors σ(n): 380727133217048217600
- Sum of proper divisors (its aliquot sum) s(n): 242691817361308705962
- 138035315855739511638 is an abundant number, because the sum of its proper divisors (242691817361308705962) is greater than itself. Its abundance is 104656501505569194324
Bases of 138035315855739511638
- Binary: 11101111011100111111111010001101101101010000011001011100011010101102
- Hexadecimal: 0x77B9FF46DA832E356
- Base-36: T4Q6ZPNUIHS9I
Squares and roots of 138035315855739511638
- 138035315855739511638 squared (1380353158557395116382) is 19053748423393771826085103718442737443044
- 138035315855739511638 cubed (1380353158557395116383) is 2630090181858958033760081265607784697859639092238329400146072
-
The
square root of 138035315855739511638 is 11748843170.9568543223 -
The
cube root of 138035315855739511638 is 5168090.0359137339
Scales and comparisons
How big is 138035315855739511638?- 138,035,315,855,739,511,638 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,035,315,855,739,511,638 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 138035315855739511638 cubic inches would be around 430674.2 feet tall.
Recreational maths with 138035315855739511638
- 138035315855739511638 backwards is 836115937558513530831
- The number of decimal digits it has is: 21
- The sum of 138035315855739511638's digits is 90
- More coming soon!
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The information we have on file for 138035315855739511638 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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