138272944827427200
138,272,944,827,427,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 138272944827427200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2688 divisors.
138272944827427200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138272944827427200:
27 × 36 × 52 × 73 × 5573
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 557 × 557 × 557)See below for interesting mathematical facts about the number 138272944827427200 from the Numbermatics database.
Names of 138272944827427200
- Cardinal: 138272944827427200 can be written as One hundred thirty-eight quadrillion, two hundred seventy-two trillion, nine hundred forty-four billion, eight hundred twenty-seven million, four hundred twenty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.382729448274272 × 1017
Factors of 138272944827427200
Divisors of 138272944827427200
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 120 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 200 210 216 224 225 240 243 245 252 270 280 288 294 300 315 320 324 336 343 350 360 378 384 392 400 405 420 432 441 448 450 480 486 490 504 525 540 557 560 567 576 588 600 630 640 648 672 675 686 700 720 729 735 756 784 800 810 840 864 882 896 900 945 960 972 980 1008 1029 1050 1080 1114 1120 1134 1152 1176 1200 1215 1225 1260 1296 1323 1344 1350 1372 1400 1440 1458 1470 1512 1568 1575 1600 1620 1671 1680 1701 1715 1728 1764 1800 1890 1920 1944 1960 2016 2025 2058 2100 2160 2205 2228 2240 2268 2352 2400 2430 2450 2520 2592 2646 2688 2700 2744 2785 2800 2835 2880 2916 2940 3024 3087 3136 3150 3200 3240 3342 3360 3402 3430 3456 3528 3600 3645 3675 3780 3888 3899 3920 3969 4032 4050 4116 4200 4320 4410 4456 4480 4536 4704 4725 4800 4860 4900 5013 5040 5103 5145 5184 5292 5400 5488 5570 5600 5670 5760 5832 5880 6048 6075 6174 6272 6300 6480 6615 6684 6720 6804 6860 7056 7200 7290 7350 7560 7776 7798 7840 7938 8064 8100 8232 8355 8400 8505 8575 8640 8820 8912 9072 9261 9408 9450 9600 9720 9800 10026 10080 10206 10290 10368 10584 10800 10976 11025 11140 11200 11340 11664 11697 11760 11907 12096 12150 12348 12600 12960 13230 13368 13440 13608 13720 13925 14112 14175 14400 14580 14700 15039 15120 15435 15552 15596 15680 15876 16200 16464 16710 16800 17010 17150 17280 17640 17824 18144 18225 18522 18816 18900 19440 19495 19600 19845 20052 20160 20412 20580 21168 21600 21952 22050 22280 22400 22680 23328 23394 23520 23814 24192 24300 24696 25065 25200 25515 25725 25920 26460 26736 27216 27293 27440 27783 27850 28224 28350 28800 29160 29400 30078 30240 30870 31104 31192 31360 31752 32400 32928 33075 33420 33600 34020 34300 35091 35280 35648 35721 36288 36450 37044 37800 38880 38990 39200 39690 40104 40320 40824 41160 41775 42336 42525 43200 43904 44100 44560 45117 45360 46305 46656 46788 47040 47628 48600 49392 50130 50400 51030 51450 51840 52920 53472 54432 54586 54880 55566 55700 56448 56700 58320 58485 58800 59535 60156 60480 61740 62384 63504 64800 65856 66150 66840 67200 68040 68600 70182 70560 71296 71442 72576 72900 74088 75195 75600 77175 77760 77980 78400 79380 80208 81648 81879 82320 83349 83550 84672 85050 86400 88200 89120 90234 90720 92610 93312 93576 94080 95256 97200 97475 98784 99225 100260 100800 102060 102900 105273 105840 106944 108864 109172 109760 111132 111400 113400 116640 116970 117600 119070 120312 120960 123480 124768 125325 127008 127575 129600 131712 132300 133680 135351 136080 136465 137200 138915 140364 141120 142884 145800 148176 150390 151200 154350 155520 155960 156800 158760 160416 163296 163758 164640 166698 167100 169344 170100 175455 176400 178240 178605 180468 181440 185220 187152 190512 191051 194400 194950 197568 198450 200520 201600 204120 205800 210546 211680 213888 217728 218344 219520 222264 222800 225585 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1600381305873 1625784183744 1633042148850 1654972409664 1658963452800 1679700495960 1688747356800 1693525191400 1723929593400 1741911625440 1763685520758 1773184724640 1778201450970 1791680529024 1829007206712 1838858232960 1866333884400 1896748214368 1905215840325 1935457361600 1939420792575 1959650578620 1970205249600 2015640595152 2032230229680 2057633107551 2068715512080 2090293950528 2099625619950 2133841741164 2177389531800 2216480905800 2239600661280 2286259008390 2298572791200 2322548833920 2351580694344 2364246299520 2370935267960 2438676275616 2449563223275 2482458614496 2488445179200 2519550743940 2533121035200 2540287787100 2585894390100 2612867438160 2667302176455 2687520793536 2709640306240 2743510810068 2758287349440 2799500826600 2845122321552 2903186042400 2939475867930 2955307874400 2963669084950 2986134215040 3048345344520 3064763721600 3103073268120 3135440925792 3149438429925 3200762611746 3251568367488 3266084297700 3309944819328 3359400991920 3387050382800 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7620863361300 7757683170300 7838602314480 8001906529365 8062562380608 8128920918720 8230532430204 8274862048320 8398502479800 8535366964656 8709558127200 8818427603790 8865923623200 8891007254850 8958402645120 9145036033560 9194291164800 9406322777376 9483741071840 9602287835238 9754705102464 9798252893100 9929834457984 10078202975760 10161151148400 10288165537755 10343577560400 10451469752640 10669208705820 10974043240272 11198003306400 11380489286208 11431295041950 11612744169600 11757903471720 11821231497600 11854676339800 12193381378080 12345798645306 12412293072480 12541763703168 12597753719700 12803050446984 13064337190800 13336510882275 13437603967680 13548201531200 13717554050340 13791436747200 14109484166064 14225611607760 14403431752857 14632057653696 14697379339650 14930671075200 15241726722600 15515366340600 15677204628960 16003813058730 16125124761216 16257841837440 16461064860408 16549724096640 16797004959600 17070733929312 17146942562925 17419116254400 17636855207580 17731847246400 17782014509700 18290072067120 18812645554752 18967482143680 19204575670476 19596505786200 20156405951520 20322302296800 20576331075510 20687155120800 20902939505280 21338417411640 21948086480544 22046069009475 22396006612800 22760978572416 22862590083900 23515806943440 23709352679600 24005719588095 24386762756160 24691597290612 24824586144960 25195507439400 25606100893968 26128674381600 26673021764550 26875207935360 27096403062400 27435108100680 27582873494400 28218968332128 28451223215520 28806863505714 29264115307392 29394758679300 30483453445200 30864496613265 31030732681200 31354409257920 32007626117460 32922129720816 33594009919200 34141467858624 34293885125850 34838232508800 35273710415160 35463694492800 35564029019400 36580144134240 37625291109504 37934964287360 38409151340952 39193011572400 40009532646825 40312811903040 40644604593600 41152662151020 41374310241600 42676834823280 43210295258571 43896172961088 44092138018950 44792013225600 45725180167800 47031613886880 47418705359200 48011439176190 48773525512320 49383194581224 49649172289920 50391014878800 51212201787936 51440827688775 52257348763200 53346043529100 54870216201360 56437936664256 56902446431040 57613727011428 58789517358600 60966906890400 61728993226530 62061465362400 62708818515840 64015252234920 65844259441632 67188019838400 68282935717248 68587770251700 70547420830320 71128058038800 72017158764285 73160288268480 76818302681904 78386023144800 80019065293650 80625623806080 81289209187200 82305324302040 82748620483200 85353669646560 86420590517142 87792345922176 88184276037900 91450360335600 94063227773760 94837410718400 96022878352380 98766389162448 100782029757600 102424403575872 102881655377550 104514697526400 106692087058200 109740432402720 112875873328512 113804892862080 115227454022856 117579034717200 120028597940475 121933813780800 123457986453060 124122930724800 128030504469840 131688518883264 134376039676800 137175540503400 141094841660640 142256116077600 144034317528570 146320576536960 153636605363808 154322483066325 156772046289600 160038130587300 164610648604080 170707339293120 172841181034284 176368552075800 182900720671200 188126455547520 189674821436800 192045756704760 197532778324896 201564059515200 204848807151744 205763310755100 213384174116400 216051476292855 219480864805440 230454908045712 235158069434400 240057195880950 243867627561600 246915972906120 248245861449600 256061008939680 263377037766528 274351081006800 282189683321280 284512232155200 288068635057140 307273210727616 308644966132650 313544092579200 320076261174600 329221297208160 341414678586240 345682362068568 352737104151600 360085793821425 365801441342400 384091513409520 395065556649792 403128119030400 411526621510200 426768348232800 432102952585710 438961729610880 460909816091424 470316138868800 480114391761900 493831945812240 512122017879360 548702162013600 564379366642560 569024464310400 576137270114280 614546421455232 617289932265300 640152522349200 658442594416320 691364724137136 705474208303200 720171587642850 731602882684800 768183026819040 790131113299584 823053243020400 853536696465600 864205905171420 921819632182848 940632277737600 960228783523800 987663891624480 1024244035758720 1080257381464275 1097404324027200 1152274540228560 1234579864530600 1280305044698400 1316885188832640 1382729448274272 1410948416606400 1440343175285700 1536366053638080 1646106486040800 1707073392931200 1728411810342840 1843639264365696 1920457567047600 1975327783248960 2160514762928550 2194808648054400 2304549080457120 2469159729061200 2560610089396800 2765458896548544 2821896833212800 2880686350571400 3072732107276160 3292212972081600 3456823620685680 3840915134095200 3950655566497920 4321029525857100 4609098160914240 4938319458122400 5121220178793600 5530917793097088 5761372701142800 6584425944163200 6913647241371360 7681830268190400 8642059051714200 9218196321828480 9876638916244800 11522745402285600 13827294482742720 15363660536380800 17284118103428400 19753277832489600 23045490804571200 27654588965485440 34568236206856800 46090981609142400 69136472413713600 138272944827427200
- Sum of all divisors σ(n): 598312417887000000
- Sum of proper divisors (its aliquot sum) s(n): 460039473059572800
- 138272944827427200 is an abundant number, because the sum of its proper divisors (460039473059572800) is greater than itself. Its abundance is 321766528232145600
Bases of 138272944827427200
- Binary: 1111010110011111010000010101111100111110001101001100000002
- Hexadecimal: 0x1EB3E82BE7C6980
- Base-36: 11THO1XCM000
Squares and roots of 138272944827427200
- 138272944827427200 squared (1382729448274272002) is 19119407271248726463989371299840000
- 138272944827427200 cubed (1382729448274272003) is 2643696746750485588535494596002609853346971648000000
-
The
square root of 138272944827427200 is 371850702.3355303547 -
The
cube root of 138272944827427200 is 517105.3972751593
Scales and comparisons
How big is 138272944827427200?- 138,272,944,827,427,200 seconds is equal to 4,396,651,939 years, 11 weeks.
-
To count from 1 to 138,272,944,827,427,200 would take you about thirteen billion, one hundred eighty-nine million, nine hundred fifty-five thousand, eight hundred seventeen 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 138272944827427200 cubic inches would be around 43092.1 feet tall.
Recreational maths with 138272944827427200
- 138272944827427200 backwards is 002724728449272831
- 138272944827427200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138272944827427200's digits is 72
- More coming soon!
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"Number 138272944827427200 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 138272944827427200 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138272944827427200/
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Numbermatics. 2024. "Number 138272944827427200 - Facts about the integer". https://numbermatics.com/n/138272944827427200/
The information we have on file for 138272944827427200 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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