138638380295015202816
138,638,380,295,015,202,816 is an even composite number composed of four prime numbers multiplied together.
What does the number 138638380295015202816 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1600 divisors.
138638380295015202816 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 138638380295015202816:
215 × 34 × 239 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 23 × 23 × 23 × 23 × 23 × 23 × 23 × 23 × 23 × 29)See below for interesting mathematical facts about the number 138638380295015202816 from the Numbermatics database.
Names of 138638380295015202816
- Cardinal: 138638380295015202816 can be written as One hundred thirty-eight quintillion, six hundred thirty-eight quadrillion, three hundred eighty trillion, two hundred ninety-five billion, fifteen million, two hundred two thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38638380295015202816 × 1020
Factors of 138638380295015202816
Divisors of 138638380295015202816
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 29 32 36 46 48 54 58 64 69 72 81 87 92 96 108 116 128 138 144 162 174 184 192 207 216 232 256 261 276 288 324 348 368 384 414 432 464 512 522 529 552 576 621 648 667 696 736 768 783 828 864 928 1024 1044 1058 1104 1152 1242 1296 1334 1392 1472 1536 1566 1587 1656 1728 1856 1863 2001 2048 2088 2116 2208 2304 2349 2484 2592 2668 2784 2944 3072 3132 3174 3312 3456 3712 3726 4002 4096 4176 4232 4416 4608 4698 4761 4968 5184 5336 5568 5888 6003 6144 6264 6348 6624 6912 7424 7452 8004 8192 8352 8464 8832 9216 9396 9522 9936 10368 10672 11136 11776 12006 12167 12288 12528 12696 13248 13824 14283 14848 14904 15341 16008 16384 16704 16928 17664 18009 18432 18792 19044 19872 20736 21344 22272 23552 24012 24334 24576 25056 25392 26496 27648 28566 29696 29808 30682 32016 32768 33408 33856 35328 36018 36501 36864 37584 38088 39744 41472 42688 42849 44544 46023 47104 48024 48668 49152 50112 50784 52992 54027 55296 57132 59392 59616 61364 64032 66816 67712 70656 72036 73002 73728 75168 76176 79488 82944 85376 85698 89088 92046 94208 96048 97336 98304 100224 101568 105984 108054 109503 110592 114264 118784 119232 122728 128064 133632 135424 138069 141312 144072 146004 147456 150336 152352 158976 165888 170752 171396 178176 184092 188416 192096 194672 200448 203136 211968 216108 219006 221184 228528 237568 238464 245456 256128 267264 270848 276138 279841 282624 288144 292008 294912 300672 304704 317952 328509 331776 341504 342792 352843 356352 368184 376832 384192 389344 400896 406272 414207 423936 432216 438012 442368 457056 475136 476928 490912 512256 534528 541696 552276 559682 565248 576288 584016 601344 609408 635904 657018 663552 683008 685584 705686 712704 736368 753664 768384 778688 801792 812544 828414 839523 847872 864432 876024 884736 914112 950272 953856 981824 985527 1024512 1058529 1069056 1083392 1104552 1119364 1130496 1152576 1168032 1202688 1218816 1242621 1271808 1314036 1327104 1366016 1371168 1411372 1425408 1472736 1536768 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160380897855488 163513337266728 165139466452992 167353980370944 170622612800064 172910655500448 178040987269632 180428510087424 183952504425069 188273227917312 194524487438004 196459020435456 202219392948224 202982073848352 208933708729708 211011540467712 218017783022304 227496817066752 230547540667264 237387983026176 240571346783232 245270005900092 247709199679488 251030970556416 255933919200096 259365983250672 270642765131136 282409841875968 290690377363072 291786731157006 303329089422336 313400563094562 316517310701568 320761795710976 327026674533456 334707960741888 341245225600128 345821311000896 356081974539264 360857020174848 367905008850138 376546455834624 389048974876008 392918040870912 404438785896448 405964147696704 417867417459416 422023080935424 436035566044608 454993634133504 461095081334528 470100844641843 474775966052352 481142693566464 490540011800184 495418399358976 502061941112832 511867838400192 518731966501344 541285530262272 564819683751936 581380754726144 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2507204504756496 2566094365687808 2616213396267648 2729961804801024 2766570488007168 2820605067851058 2848655796314112 2886856161398784 2943240070801104 3012371646676992 3112391799008064 3235510287171584 3247713181573632 3342939339675328 3488284528356864 3639949073068032 3688760650676224 3760806757134744 3798207728418816 3849141548531712 3924320094401472 4094942707201536 4149855732010752 4230907601776587 4330284242098176 4518557470015488 4651046037809152 4668587698512096 4853265430757376 5014409009512992 5232426792535296 5459923609602048 5533140976014336 5641210135702116 5697311592628224 5773712322797568 5886480141602208 6224783598016128 6495426363147264 6685878679350656 6976569056713728 7279898146136064 7377521301352448 7521613514269488 7698283097063424 7848640188802944 8189885414403072 8299711464021504 8461815203553174 8660568484196352 9037114940030976 9302092075618304 9337175397024192 9706530861514752 10028818019025984 10464853585070592 10919847219204096 11066281952028672 11282420271404232 11394623185256448 11547424645595136 11772960283204416 12449567196032256 12990852726294528 13371757358701312 13953138113427456 14559796292272128 14755042602704896 15043227028538976 15697280377605888 16379770828806144 16599422928043008 16923630407106348 17321136968392704 18604184151236608 18674350794048384 20057636038051968 20929707170141184 21839694438408192 22132563904057344 22564840542808464 23094849291190272 23545920566408832 24899134392064512 25981705452589056 26743514717402624 27906276226854912 29119592584544256 29510085205409792 30086454057077952 31394560755211776 32759541657612288 33198845856086016 33847260814212696 34642273936785408 37208368302473216 37348701588096768 40115272076103936 41859414340282368 43679388876816384 44265127808114688 45129681085616928 47091841132817664 49798268784129024 51963410905178112 53487029434805248 55812552453709824 59020170410819584 60172908114155904 62789121510423552 65519083315224576 66397691712172032 67694521628425392 69284547873570816 74416736604946432 74697403176193536 80230544152207872 83718828680564736 87358777753632768 88530255616229376 90259362171233856 94183682265635328 99596537568258048 103926821810356224 106974058869610496 111625104907419648 120345816228311808 125578243020847104 131038166630449152 132795383424344064 135389043256850784 149394806352387072 160461088304415744 167437657361129472 177060511232458752 180518724342467712 188367364531270656 199193075136516096 207853643620712448 213948117739220992 223250209814839296 240691632456623616 251156486041694208 262076333260898304 265590766848688128 270778086513701568 298789612704774144 320922176608831488 334875314722258944 361037448684935424 376734729062541312 398386150273032192 427896235478441984 481383264913247232 502312972083388416 531181533697376256 541556173027403136 597579225409548288 641844353217662976 669750629444517888 722074897369870848 753469458125082624 796772300546064384 855792470956883968 962766529826494464 1004625944166776832 1083112346054806272 1195158450819096576 1283688706435325952 1444149794739741696 1506938916250165248 1593544601092128768 1711584941913767936 1925533059652988928 2009251888333553664 2166224692109612544 2390316901638193152 2567377412870651904 2888299589479483392 3013877832500330496 3851066119305977856 4332449384219225088 4780633803276386304 5134754825741303808 5776599178958966784 6027755665000660992 7702132238611955712 8664898768438450176 11553198357917933568 15404264477223911424 17329797536876900352 23106396715835867136 34659595073753800704 46212793431671734272 69319190147507601408 138638380295015202816
- Sum of all divisors σ(n): 447956258043759577200
- Sum of proper divisors (its aliquot sum) s(n): 309317877748744374384
- 138638380295015202816 is an abundant number, because the sum of its proper divisors (309317877748744374384) is greater than itself. Its abundance is 170679497453729171568
Bases of 138638380295015202816
- Binary: 11110000011111111100111100001010111001101111110010110000000000000002
- Hexadecimal: 0x783FE785737E58000
- Base-36: T9B507QM4U800
Squares and roots of 138638380295015202816
- 138638380295015202816 squared (1386383802950152028162) is 19220600490825259674597326052565614329856
- 138638380295015202816 cubed (1386383802950152028163) is 2664712920345588216411623566376687922924946861950103764074496
-
The
square root of 138638380295015202816 is 11774480043.5099979329 -
The
cube root of 138638380295015202816 is 5175605.4156620589
Scales and comparisons
How big is 138638380295015202816?- 138,638,380,295,015,202,816 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,638,380,295,015,202,816 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 138638380295015202816 cubic inches would be around 431300.5 feet tall.
Recreational maths with 138638380295015202816
- 138638380295015202816 backwards is 618202510592083836831
- 138638380295015202816 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138638380295015202816's digits is 81
- More coming soon!
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The information we have on file for 138638380295015202816 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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