138446484481105344
138,446,484,481,105,344 is an even composite number composed of four prime numbers multiplied together.
138446484481105344 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138446484481105344:
26 × 311 × 373 × 4912
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 37 × 37 × 37 × 491 × 491)See below for interesting mathematical facts about the number 138446484481105344 from the Numbermatics database.
Names of 138446484481105344
- Cardinal: 138446484481105344 can be written as One hundred thirty-eight quadrillion, four hundred forty-six trillion, four hundred eighty-four billion, four hundred eighty-one million, one hundred five thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.38446484481105344 × 1017
Factors of 138446484481105344
Divisors of 138446484481105344
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 144 148 162 192 216 222 243 288 296 324 333 432 444 486 491 576 592 648 666 729 864 888 972 982 999 1184 1296 1332 1369 1458 1473 1728 1776 1944 1964 1998 2187 2368 2592 2664 2738 2916 2946 2997 3552 3888 3928 3996 4107 4374 4419 5184 5328 5476 5832 5892 5994 6561 7104 7776 7856 7992 8214 8748 8838 8991 10656 10952 11664 11784 11988 12321 13122 13257 15552 15712 15984 16428 17496 17676 17982 18167 19683 21312 21904 23328 23568 23976 24642 26244 26514 26973 31424 31968 32856 34992 35352 35964 36334 36963 39366 39771 43808 46656 47136 47952 49284 50653 52488 53028 53946 54501 59049 63936 65712 69984 70704 71928 72668 73926 78732 79542 80919 87616 94272 95904 98568 101306 104976 106056 107892 109002 110889 118098 119313 131424 139968 141408 143856 145336 147852 151959 157464 159084 161838 163503 177147 191808 197136 202612 209952 212112 215784 218004 221778 236196 238626 241081 242757 262848 282816 287712 290672 295704 303918 314928 318168 323676 327006 332667 354294 357939 394272 405224 419904 424224 431568 436008 443556 455877 472392 477252 482162 485514 490509 575424 581344 591408 607836 629856 636336 647352 654012 665334 672179 708588 715878 723243 728271 788544 810448 848448 863136 872016 887112 911754 944784 954504 964324 971028 981018 998001 1073817 1162688 1182816 1215672 1259712 1272672 1294704 1308024 1330668 1344358 1367631 1417176 1431756 1446486 1456542 1471527 1620896 1726272 1744032 1774224 1823508 1889568 1909008 1928648 1942056 1962036 1996002 2016537 2147634 2169729 2184813 2365632 2431344 2545344 2589408 2616048 2661336 2688716 2735262 2834352 2863512 2892972 2913084 2943054 2994003 3221451 3241792 3488064 3548448 3647016 3779136 3818016 3857296 3884112 3924072 3992004 4033074 4102893 4295268 4339458 4369626 4414581 4862688 5178816 5232096 5322672 5377432 5470524 5668704 5727024 5785944 5826168 5886108 5988006 6049611 6442902 6509187 6554439 7096896 7294032 7636032 7714592 7768224 7848144 7984008 8066148 8205786 8590536 8678916 8739252 8829162 8919997 8982009 9664353 9725376 10464192 10645344 10754864 10941048 11337408 11454048 11571888 11652336 11772216 11976012 12099222 12308679 12885804 13018374 13108878 13243743 14588064 15429184 15536448 15696288 15968016 16132296 16411572 17181072 17357832 17478504 17658324 17839994 17964018 18148833 19328706 19527561 21290688 21509728 21882096 22908096 23143776 23304672 23544432 23952024 24198444 24617358 24870623 25771608 26036748 26217756 26487486 26759991 26946027 28993059 29176128 31392576 31936032 32264592 32823144 34362144 34715664 34957008 35316648 35679988 35928036 36297666 36926037 38657412 39055122 39731229 43019456 43764192 46287552 46609344 47088864 47904048 48396888 49234716 49741246 51543216 52073496 52435512 52974972 53519982 53892054 54446499 57986118 58582683 63872064 64529184 65646288 68724288 69431328 69914016 70633296 71359976 71856072 72595332 73852074 74611869 77314824 78110244 79462458 80279973 80838081 86979177 87528384 94177728 95808096 96793776 98469432 99482492 103086432 104146992 104871024 105949944 107039964 107784108 108892998 110778111 115972236 117165366 119193687 129058368 131292576 138862656 139828032 141266592 142719952 143712144 145190664 147704148 149223738 154629648 156220488 158924916 160559946 161676162 163339497 173958354 175748049 191616192 193587552 196938864 198964984 206172864 208293984 209742048 211899888 214079928 215568216 217785996 221556222 223835607 231944472 234330732 238387374 240839919 242514243 262585152 282533184 285439904 287424288 290381328 295408296 298447476 309259296 312440976 317849832 321119892 323352324 326678994 330039889 332334333 347916708 351496098 357581061 387175104 393877728 397929968 416587968 419484096 423799776 428159856 431136432 435571992 443112444 447671214 463888944 468661464 476774748 481679838 485028486 490018491 527244147 570879808 574848576 580762656 590816592 596894952 618518592 624881952 635699664 642239784 646704648 653357988 660079778 664668666 671506821 695833416 702992196 715162122 722519757 787755456 795859936 847599552 856319712 862272864 871143984 886224888 895342428 927777888 937322928 953549496 963359676 970056972 980036982 990119667 997002999 1054488294 1072743183 1161525312 1181633184 1193789904 1249763904 1271399328 1284479568 1293409296 1306715976 1320159556 1329337332 1343013642 1391666832 1405984392 1430324244 1445039514 1470055473 1581732441 1591719872 1712639424 1724545728 1742287968 1772449776 1790684856 1855555776 1874645856 1907098992 1926719352 1940113944 1960073964 1980239334 1994005998 2014520463 2108976588 2145486366 2167559271 2363266368 2387579808 2542798656 2568959136 2586818592 2613431952 2640319112 2658674664 2686027284 2783333664 2811968784 2860648488 2890079028 2940110946 2970359001 2991008997 3163464882 3218229549 3484575936 3544899552 3581369712 3749291712 3814197984 3853438704 3880227888 3920147928 3960478668 3988011996 4029040926 4217953176 4290972732 4335118542 4410166419 4745197323 4775159616 5137918272 5173637184 5226863904 5280638224 5317349328 5372054568 5566667328 5623937568 5721296976 5780158056 5880221892 5940718002 5982017994 6043561389 6326929764 6436459098 6502677813 7089799104 7162739424 7628395968 7706877408 7760455776 7840295856 7920957336 7976023992 8058081852 8435906352 8581945464 8670237084 8820332838 8911077003 8973026991 9490394646 10453727808 10561276448 10634698656 10744109136 11247875136 11442593952 11560316112 11760443784 11881436004 11964035988 12087122778 12211475893 12653859528 12872918196 13005355626 13230499257 14235591969 14325478848 15413754816 15520911552 15680591712 15841914672 15952047984 16116163704 16871812704 17163890928 17340474168 17640665676 17822154006 17946053982 18130684167 18980789292 19508033439 21122552896 21269397312 21488218272 22885187904 23120632224 23520887568 23762872008 23928071976 24174245556 24422951786 25307719056 25745836392 26010711252 26460998514 26733231009 28471183938 31361183424 31683829344 31904095968 32232327408 33743625408 34327781856 34680948336 35281331352 35644308012 35892107964 36261368334 36634427679 37961578584 39016066878 39691497771 42706775907 42976436544 46241264448 47041775136 47525744016 47856143952 48348491112 48845903572 50615438112 51491672784 52021422504 52921997028 53466462018 54392052501 56942367876 58524100317 63367658688 63808191936 64464654816 68655563712 69361896672 70562662704 71288616024 71784215928 72522736668 73268855358 75923157168 78032133756 79382995542 80199693027 85413551814 94083550272 95051488032 95712287904 96696982224 97691807144 101230876224 102983345568 104042845008 105843994056 106932924036 108784105002 109903283037 113884735752 117048200634 119074493313 128929309632 138723793344 141125325408 142577232048 143568431856 145045473336 146537710716 151846314336 156064267512 158765991084 160399386054 163176157503 170827103628 175572300951 190102976064 191424575808 193393964448 195383614288 205966691136 208085690016 211687988112 213865848072 217568210004 219806566074 227769471504 234096401268 238148986626 240599079081 282250650816 285154464096 287136863712 290090946672 293075421432 303692628672 312128535024 317531982168 320798772108 326352315006 329709849111 341654207256 351144601902 386787928896 390767228576 416171380032 423375976224 427731696144 435136420008 439613132148 455538943008 468192802536 476297973252 481198158162 489528472509 526716902853 570308928192 574273727424 580181893344 586150842864 624257070048 635063964336 641597544216 652704630012 659419698222 683308414512 702289203804 721797237243 781534457152 846751952448 855463392288 870272840016 879226264296 911077886016 936385605072 952595946504 962396316324 979056945018 989129547333 1053433805706 1160363786688 1172301685728 1248514140096 1270127928672 1283195088432 1305409260024 1318839396444 1366616829024 1404578407608 1443594474486 1468585417527 1580150708559 1710926784576 1740545680032 1758452528592 1872771210144 1905191893008 1924792632648 1958113890036 1978259094666 2106867611412 2165391711729 2344603371456 2540255857344 2566390176864 2610818520048 2637678792888 2733233658048 2809156815216 2887188948972 2937170835054 2967388641999 3160301417118 3481091360064 3516905057184 3745542420288 3810383786016 3849585265296 3916227780072 3956518189332 4213735222824 4330783423458 4405756252581 5132780353728 5221637040096 5275357585776 5618313630432 5774377897944 5874341670108 5934777283998 6320602834236 6496175135187 7033810114368 7620767572032 7699170530592 7832455560144 7913036378664 8427470445648 8661566846916 8811512505162 8902165925997 10443274080192 10550715171552 11236627260864 11548755795888 11748683340216 11869554567996 12641205668472 12992350270374 15398341061184 15664911120288 15826072757328 16854940891296 17323133693832 17623025010324 17804331851994 19488525405561 21101430343104 23097511591776 23497366680432 23739109135992 25282411336944 25984700540748 26706497777991 31329822240576 31652145514656 33709881782592 34646267387664 35246050020648 35608663703988 38977050811122 46195023183552 46994733360864 47478218271984 50564822673888 51969401081496 53412995555982 58465576216683 63304291029312 69292534775328 70492100041296 71217327407976 77954101622244 80119493333973 93989466721728 94956436543968 101129645347776 103938802162992 106825991111964 116931152433366 138585069550656 140984200082592 142434654815952 155908203244488 160238986667946 189912873087936 207877604325984 213651982223928 233862304866732 240358480001919 281968400165184 284869309631904 311816406488976 320477973335892 415755208651968 427303964447856 467724609733464 480716960003838 569738619263808 623632812977952 640955946671784 721075440005757 854607928895712 935449219466928 961433920007676 1247265625955904 1281911893343568 1442150880011514 1709215857791424 1870898438933856 1922867840015352 2163226320017271 2563823786687136 2884301760023028 3741796877867712 3845735680030704 4326452640034542 5127647573374272 5768603520046056 7691471360061408 8652905280069084 11537207040092112 15382942720122816 17305810560138168 23074414080184224 34611621120276336 46148828160368448 69223242240552672 138446484481105344
- Sum of all divisors σ(n): 424405028731247200
- Sum of proper divisors (its aliquot sum) s(n): 285958544250141856
- 138446484481105344 is an abundant number, because the sum of its proper divisors (285958544250141856) is greater than itself. Its abundance is 147512059769036512
Bases of 138446484481105344
- Binary: 1111010111101110001011000000101111110010111011101110000002
- Hexadecimal: 0x1EBDC5817E5DDC0
- Base-36: 11V76KXXR000
Squares and roots of 138446484481105344
- 138446484481105344 squared (1384464844811053442) is 19167429065176942852283344025358336
- 138446484481105344 cubed (1384464844811053443) is 2653663170614707129765111863889387872080990964547584
-
The
square root of 138446484481105344 is 372083975.0393791737 -
The
cube root of 138446484481105344 is 517321.6381210413
Scales and comparisons
How big is 138446484481105344?- 138,446,484,481,105,344 seconds is equal to 4,402,169,963 years, 21 weeks, 11 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,446,484,481,105,344 would take you about thirteen billion, two hundred six million, five hundred nine thousand, eight hundred ninety 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 138446484481105344 cubic inches would be around 43110.1 feet tall.
Recreational maths with 138446484481105344
- 138446484481105344 backwards is 443501184484644831
- 138446484481105344 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138446484481105344's digits is 72
- More coming soon!
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The information we have on file for 138446484481105344 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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