138237399303723630138624256
138,237,399,303,723,630,138,624,256 is an even composite number composed of five prime numbers multiplied together.
What does the number 138237399303723630138624256 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 729 divisors.
138237399303723630138624256 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty-nine divisors.
Prime factorization of 138237399303723630138624256:
28 × 72 × 1312 × 1492 × 53782032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 131 × 131 × 149 × 149 × 5378203 × 5378203)See below for interesting mathematical facts about the number 138237399303723630138624256 from the Numbermatics database.
Names of 138237399303723630138624256
- Cardinal: 138237399303723630138624256 can be written as One hundred thirty-eight septillion, two hundred thirty-seven sextillion, three hundred ninety-nine quintillion, three hundred three quadrillion, seven hundred twenty-three trillion, six hundred thirty billion, one hundred thirty-eight million, six hundred twenty-four thousand, two hundred fifty-six.
Scientific notation
- Scientific notation: 1.38237399303723630138624256 × 1026
Factors of 138237399303723630138624256
Divisors of 138237399303723630138624256
- Number of divisors d(n): 729
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 131 149 196 224 256 262 298 392 448 524 596 784 896 917 1043 1048 1192 1568 1792 1834 2086 2096 2384 3136 3668 4172 4192 4768 6272 6419 7301 7336 8344 8384 9536 12544 12838 14602 14672 16688 16768 17161 19072 19519 22201 25676 29204 29344 33376 33536 34322 38144 39038 44402 51352 58408 58688 66752 68644 78076 88804 102704 116816 117376 120127 133504 136633 137288 155407 156152 177608 205408 233632 234752 240254 267008 273266 274576 310814 312304 355216 410816 467264 480508 546532 549152 621628 624608 710432 821632 840889 934528 956431 961016 1087849 1093064 1098304 1243256 1249216 1420864 1643264 1681778 1869056 1912862 1922032 2175698 2186128 2196608 2486512 2498432 2556989 2841728 2908331 3363556 3825724 3844064 4351396 4372256 4393216 4973024 4996864 5113978 5378203 5683456 5816662 6727112 7651448 7688128 8702792 8744512 9946048 10227956 10756406 11633324 13454224 15302896 15376256 17405584 17489024 17898923 19892096 20358317 20455912 21512812 23266648 26908448 30605792 30752512 34811168 34978048 35797846 37647421 39784192 40716634 40911824 43025624 46533296 53816896 61211584 69622336 71595692 75294842 81433268 81823648 86051248 93066592 107633792 122423168 125292461 139244672 142508219 143191384 150589684 162866536 163647296 172102496 186133184 215267584 244846336 250584922 263531947 278489344 285016438 286382768 301179368 325733072 327294592 344204992 372266368 380991361 501169844 527063894 570032876 572765536 602358736 651466144 654589184 688409984 704544593 744532736 761982722 801352247 1002339688 1054127788 1140065752 1145531072 1204717472 1302932288 1376819968 1409089186 1523965444 1602704494 2004679376 2108255576 2280131504 2291062144 2409434944 2605864576 2666939527 2818178372 3047930888 3205408988 4009358752 4216511152 4560263008 4582124288 4818869888 4931812151 5211729152 5333879054 5609465729 5636356744 6095861776 6410817976 8018717504 8433022304 9120526016 9637739776 9863624302 10667758108 11218931458 11272713488 12191723552 12821635952 16037435008 16866044608 18241052032 18668576689 19727248604 21335516216 22437862916 22545426976 24383447104 25643271904 32074870016 33732089216 34522685057 36482104064 37337153378 39266260103 39454497208 42671032432 44875725832 45090853952 48766894208 51286543808 67464178432 69045370114 74674306756 78532520206 78908994416 85342064864 89751451664 90181707904 92295341683 97533788416 102573087616 104977144357 119401484803 138090740228 149348613512 157065040412 157817988832 170684129728 179502903328 180363415808 184590683366 205146175232 209954288714 238802969606 276181480456 298697227024 314130080824 315635977664 341368259456 359005806656 369181366732 419908577428 477605939212 552362960912 597394454048 628260161648 631271955328 646067391781 682736518912 718011613312 734840010499 738362733464 835810393621 839817154856 955211878424 1104725921824 1194788908096 1256520323296 1262543910656 1292134783562 1436023226624 1469680020998 1476725466928 1671620787242 1679634309712 1910423756848 2209451843648 2389577816192 2513040646592 2584269567124 2939360041996 2953450933856 3343241574484 3359268619424 3820847513696 4418903687296 4522471742467 4779155632384 5026081293184 5143880073493 5168539134248 5850672755347 5878720083992 5906901867712 6686483148968 6718537238848 7641695027392 8837807374592 9044943484934 10052162586368 10287760146986 10337078268496 11701345510694 11757440167984 11813803735424 13372966297936 13437074477696 13752005910767 15283390054784 15641594509193 18089886969868 20575520293972 20674156536992 23402691021388 23514880335968 23627607470848 26745932595872 26874148955392 27504011821534 28925067509209 30566780109568 31283189018386 36179773939736 41151040587944 41348313073984 46805382042776 47029760671936 53491865191744 55008023643068 57850135018418 62566378036772 72359547879472 82302081175888 82696626147968 93610764085552 94059521343872 96264041375369 106983730383488 109491161564351 110016047286136 115700270036836 125132756073544 144719095758944 164604162351776 165393252295936 187221528171104 188119042687744 192528082750738 202475472564463 213967460766976 218982323128702 220032094572272 231400540073672 250265512147088 289438191517888 329208324703552 374443056342208 385056165501476 404950945128926 437964646257404 440064189144544 462801080147344 500531024294176 578876383035776 658416649407104 673848289627583 748886112684416 766438130950457 770112331002952 809901890257852 875929292514808 880128378289088 925602160294688 1001062048588352 1157752766071552 1316833298814208 1347696579255166 1417328307951241 1497772225368832 1532876261900914 1540224662005904 1619803780515704 1751858585029616 1760256756578176 1851204320589376 2002124097176704 2049048880704283 2695393158510332 2834656615902482 3065752523801828 3080449324011808 3239607561031408 3503717170059232 3520513513156352 3702408641178752 3789183843706379 4004248194353408 4098097761408566 4309835058872141 5390786317020664 5669313231804964 6131505047603656 6160898648023616 6479215122062816 7007434340118464 7404817282357504 7578367687412758 8196195522817132 8619670117744282 10781572634041328 11338626463609928 12263010095207312 12321797296047232 12958430244125632 14014868680236928 14343342164929981 15156735374825516 16392391045634264 17239340235488564 21563145268082656 22677252927219856 24526020190414624 24643594592094464 25916860488251264 26524286905944653 28029737360473856 28686684329859962 30168845412104987 30313470749651032 32784782091268528 34478680470977128 43126290536165312 45354505854439712 49052040380829248 51833720976502528 53048573811889306 57373368659719924 60337690824209974 60626941499302064 65569564182537056 68957360941954256 86252581072330624 90709011708879424 98104080761658496 100403395154509867 106097147623778612 114746737319439848 120675381648419948 121253882998604128 131139128365074112 137914721883908512 172505162144661248 181418023417758848 185670008341612571 196208161523316992 200806790309019734 211181917884734909 212194295247557224 229493474638879696 241350763296839896 242507765997208256 262278256730148224 275829443767817024 362836046835517696 371340016683225142 401613580618039468 422363835769469818 424388590495114448 458986949277759392 482701526593679792 485015531994416512 496383083525535649 524556513460296448 551658887535634048 564588392712250471 642165423771949009 742680033366450284 803227161236078936 844727671538939636 848777180990228896 917973898555518784 965403053187359584 970031063988833024 992766167051071298 1103317775071268096 1129176785424500942 1284330847543898018 1485360066732900568 1606454322472157872 1689455343077879272 1697554361980457792 1835947797111037568 1930806106374719168 1985532334102142596 2258353570849001884 2568661695087796036 2970720133465801136 3212908644944315744 3378910686155758544 3395108723960915584 3474681584678749543 3671895594222075136 3861612212749438336 3952118748985753297 3971064668204285192 4495157966403643063 4516707141698003768 5137323390175592072 5941440266931602272 6425817289888631488 6757821372311517088 6790217447921831168 6949363169357499086 7723224425498876672 7904237497971506594 7942129336408570384 8990315932807286126 9033414283396007536 10274646780351184144 11882880533863204544 12851634579777262976 13515642744623034176 13898726338714998172 15808474995943013188 15884258672817140768 17980631865614572252 18066828566792015072 20549293560702368288 23765761067726409088 24322771092751246801 25703269159554525952 27031285489246068352 27664831242900273079 27797452677429996344 31466105764825501441 31616949991886026376 31768517345634281536 35961263731229144504 36133657133584030144 41098587121404736576 47531522135452818176 48645542185502493602 54062570978492136704 55329662485800546158 55594905354859992688 62932211529651002882 63233899983772052752 63537034691268563072 71922527462458289008 72267314267168060288 73961079445304811701 82197174242809473152 84123670514125320179 97291084371004987204 110659324971601092316 111189810709719985376 125864423059302005764 126467799967544105504 127074069382537126144 143845054924916578016 144534628534336120576 147922158890609623402 164394348485618946304 168247341028250640358 194582168742009974408 221318649943202184632 222379621419439970752 251728846118604011528 252935599935088211008 287690109849833156032 295844317781219246804 336494682056501280716 389164337484019948816 442637299886404369264 444759242838879941504 503457692237208023056 505871199870176422016 517727556117133681907 575380219699666312064 588865693598877241253 591688635562438493608 672989364113002561432 778328674968039897632 885274599772808738528 889518485677759883008 1006915384474416046112 1011742399740352844032 1035455112234267363814 1150760439399332624128 1177731387197754482506 1183377271124876987216 1345978728226005122864 1556657349936079795264 1770549199545617477056 2013830768948832092224 2070910224468534727628 2355462774395508965012 2366754542249753974432 2691957456452010245728 3113314699872159590528 3541098399091234954112 3624092892819935773349 4027661537897664184448 4122059855192140688771 4141820448937069455256 4710925548791017930024 4733509084499507948864 5383914912904020491456 6226629399744319181056 7082196798182469908224 7248185785639871546698 8055323075795328368896 8244119710384281377542 8283640897874138910512 9421851097582035860048 9467018168999015897728 10767829825808040982912 11020200837350416943449 14496371571279743093396 16488239420768562755084 16567281795748277821024 18843702195164071720096 18934036337998031795456 21535659651616081965824 22040401674700833886898 28992743142559486186792 32976478841537125510168 33134563591496555642048 37687404390328143440192 44080803349401667773796 57985486285118972373584 65952957683074251020336 66269127182993111284096 75374808780656286880384 77141405861452918604143 88161606698803335547592 115970972570237944747168 131905915366148502040672 132538254365986222568192 150749617561312573760768 154282811722905837208286 176323213397606671095184 231941945140475889494336 263811830732297004081344 308565623445811674416572 352646426795213342190368 463883890280951778988672 527623661464594008162688 539989841030170430229001 617131246891623348833144 705292853590426684380736 927767780561903557977344 1055247322929188016325376 1079979682060340860458002 1234262493783246697666288 1410585707180853368761472 2159959364120681720916004 2468524987566493395332576 2821171414361706737522944 4319918728241363441832008 4937049975132986790665152 8639837456482726883664016 9874099950265973581330304 17279674912965453767328032 19748199900531947162660608 34559349825930907534656064 69118699651861815069312128 138237399303723630138624256
- Sum of all divisors σ(n): 325639828860757703473199193
- Sum of proper divisors (its aliquot sum) s(n): 187402429557034073334574937
- 138237399303723630138624256 is an abundant number, because the sum of its proper divisors (187402429557034073334574937) is greater than itself. Its abundance is 49165030253310443195950681
Bases of 138237399303723630138624256
- Binary: 1110010010110001110100001101110101001000010010101010010000101010100101000001001000000002
- Hexadecimal: 0x7258E86EA42552154A0900
- Base-36: HDAS2WLMLJCEGER5S
Squares and roots of 138237399303723630138624256
- 138237399303723630138624256 squared (1382373993037236301386242562) is 19109578566257130382650896680084112495955244351553536
- 138237399303723630138624256 cubed (1382373993037236301386242563) is 2641658442789565441864396946495523579084322212177619670055798850787991372169216
-
138237399303723630138624256 is a
perfect square number . Itssquare root is 11757440167984 -
The
cube root of 138237399303723630138624256 is 517061083.0929455859
Scales and comparisons
How big is 138237399303723630138624256?- 138,237,399,303,723,630,138,624,256 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,237,399,303,723,630,138,624,256 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 138237399303723630138624256 cubic inches would be around 43088423.6 feet tall.
Recreational maths with 138237399303723630138624256
- 138237399303723630138624256 backwards is 652426831036327303993732831
- The number of decimal digits it has is: 27
- The sum of 138237399303723630138624256's digits is 109
- More coming soon!
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The information we have on file for 138237399303723630138624256 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 138237399303723630138624256, math, Factors of 138237399303723630138624256, curriculum, school, college, exams, university, Prime factorization of 138237399303723630138624256, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight septillion, two hundred thirty-seven sextillion, three hundred ninety-nine quintillion, three hundred three quadrillion, seven hundred twenty-three trillion, six hundred thirty billion, one hundred thirty-eight million, six hundred twenty-four thousand, two hundred fifty-six.