138391938127296
138,391,938,127,296 is an even composite number composed of six prime numbers multiplied together.
What does the number 138391938127296 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
138391938127296 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138391938127296:
26 × 35 × 73 × 41 × 251 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 41 × 251 × 2521)See below for interesting mathematical facts about the number 138391938127296 from the Numbermatics database.
Names of 138391938127296
- Cardinal: 138391938127296 can be written as One hundred thirty-eight trillion, three hundred ninety-one billion, nine hundred thirty-eight million, one hundred twenty-seven thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 1.38391938127296 × 1014
Factors of 138391938127296
Divisors of 138391938127296
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 41 42 48 49 54 56 63 64 72 81 82 84 96 98 108 112 123 126 144 147 162 164 168 189 192 196 216 224 243 246 251 252 287 288 294 324 328 336 343 369 378 392 432 441 448 486 492 502 504 567 574 576 588 648 656 672 686 738 753 756 784 861 864 882 972 984 1004 1008 1029 1107 1134 1148 1176 1296 1312 1323 1344 1372 1476 1506 1512 1568 1701 1722 1728 1757 1764 1944 1968 2008 2009 2016 2058 2214 2259 2268 2296 2352 2521 2583 2592 2624 2646 2744 2952 3012 3024 3087 3136 3321 3402 3444 3514 3528 3888 3936 3969 4016 4018 4032 4116 4428 4518 4536 4592 4704 5042 5166 5184 5271 5292 5488 5904 6024 6027 6048 6174 6642 6777 6804 6888 7028 7056 7563 7749 7776 7872 7938 8032 8036 8232 8856 9036 9072 9184 9261 9408 9963 10084 10291 10332 10542 10584 10976 11808 11907 12048 12054 12096 12299 12348 13284 13554 13608 13776 14056 14063 14112 15126 15498 15552 15813 15876 16064 16072 16464 17647 17712 18072 18081 18144 18368 18522 19926 20168 20331 20582 20664 21084 21168 21952 22689 23247 23616 23814 24096 24108 24598 24696 26568 27108 27216 27552 27783 28112 28126 28224 30252 30873 30996 31626 31752 32144 32928 35294 35424 36144 36162 36288 36897 37044 39852 40336 40662 41164 41328 42168 42189 42336 45378 46494 47439 47628 48192 48216 49196 49392 52941 53136 54216 54243 54432 55104 55566 56224 56252 60504 60993 61746 61992 63252 63504 64288 65856 68067 69741 70588 70848 72037 72288 72324 73794 74088 79704 80672 81324 82328 82656 83349 84336 84378 84672 86093 90756 92619 92988 94878 95256 96432 98392 98784 103361 105882 106272 108432 108486 108864 110691 111132 112448 112504 121008 121986 123492 123529 123984 126504 126567 127008 128576 136134 139482 141176 142317 144074 144576 144648 147588 148176 158823 159408 161344 162648 162729 164656 165312 166698 168672 168756 172186 181512 185238 185976 189756 190512 192864 196784 197568 204201 206722 211764 212544 216111 216864 216972 221382 222264 225008 242016 243972 246984 247058 247968 253008 253134 254016 258279 272268 277857 278964 282352 284634 288148 289296 295176 296352 310083 317646 318816 325296 325458 329312 332073 333396 337344 337512 344372 363024 370476 370587 371952 379512 379701 381024 385728 393568 408402 413444 423528 426951 432222 433728 433944 442764 444528 450016 476469 484032 487944 488187 493968 494116 495936 504259 506016 506268 516558 544536 555714 557928 564704 569268 576296 578592 590352 592704 612603 620166 632771 635292 637632 648333 650592 650916 658624 664146 666792 675024 688744 723527 726048 740952 741174 743904 759024 759402 762048 774837 787136 816804 826888 833571 847056 853902 864444 864703 867888 885528 889056 900032 930249 952938 975888 976374 987936 988232 996219 1008518 1012032 1012536 1033116 1089072 1111428 1111761 1115856 1129408 1138536 1139103 1152592 1157184 1180704 1225206 1240332 1265542 1270584 1296666 1301184 1301832 1328292 1333584 1350048 1377488 1429407 1447054 1452096 1481904 1482348 1487808 1512777 1518048 1518804 1549674 1633608 1653776 1667142 1694112 1707804 1728888 1729406 1735776 1771056 1778112 1860498 1898313 1905876 1944999 1951776 1952748 1975872 1976464 1992438 2017036 2025072 2066232 2170581 2178144 2222856 2223522 2231712 2277072 2278206 2305184 2324511 2361408 2450412 2480664 2500713 2531084 2541168 2593332 2594109 2603664 2656584 2667168 2700096 2754976 2790747 2858814 2894108 2963808 2964696 2988657 3025554 3036096 3037608 3099348 3267216 3307552 3334284 3335283 3388224 3415608 3417309 3457776 3458812 3471552 3529813 3542112 3720996 3796626 3811752 3889998 3903552 3905496 3952928 3984876 4034072 4050144 4132464 4288221 4341162 4356288 4429397 4445712 4447044 4463424 4538331 4554144 4556412 4610368 4649022 4900824 4961328 5001426 5062168 5064689 5082336 5186664 5188218 5207328 5313168 5334336 5509952 5581494 5694939 5717628 5788216 5834997 5927616 5929392 5977314 6051108 6075216 6198696 6511743 6534432 6615104 6668568 6670566 6831216 6834618 6915552 6917624 6973533 7059626 7084224 7441992 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434080906 435679776 446306112 466984998 468845496 478374876 480280752 486210144 490139748 496092464 498068928 508293072 535823424 544815831 546714144 546986412 558104022 560159712 560327544 567245168 571829706 615053412 622646664 625127328 637833168 638150814 640374336 651121359 653519664 669459168 677724096 700477497 703268244 717562314 726421108 729315216 744138696 747103392 762439608 803735136 820071216 820479618 830195552 837156033 840491316 850444224 850867752 857744559 868161812 871359552 933969996 937690992 956749752 957226221 960561504 972420288 980279496 992184928 1016586144 1076343471 1089631662 1093428288 1093972824 1116208044 1120319424 1120655088 1134490336 1143659412 1230106824 1230719427 1245293328 1250254656 1271236939 1275666336 1276301628 1302242718 1307039328 1338918336 1400954994 1406536488 1435124628 1452842216 1458630432 1488277392 1494206784 1524879216 1607470272 1634447493 1640142432 1640959236 1660391104 1674312066 1680982632 1701735504 1715489118 1736323624 1867939992 1875381984 1913499504 1914452442 1921123008 1953364077 1960558992 1984369856 2033172288 2101432491 2152686942 2179263324 2187945648 2232416088 2241310176 2268980672 2287318824 2460213648 2461438854 2490586656 2511468099 2542473878 2551332672 2552603256 2604485436 2614078656 2801909988 2813072976 2870249256 2871678663 2905684432 2917260864 2976554784 3049758432 3268894986 3280284864 3281918472 3348624132 3361965264 3403471008 3430978236 3472647248 3735879984 3750763968 3813710817 3826999008 3828904884 3906728154 3921117984 4202864982 4305373884 4358526648 4375891296 4464832176 4482620352 4574637648 4903342479 4920427296 4922877708 4981173312 5022936198 5084947756 5105206512 5208970872 5603819976 5626145952 5740498512 5743357326 5811368864 5860092231 5953109568 6099516864 6304297473 6537789972 6563836944 6697248264 6723930528 6806942016 6861956472 6945294496 7471759968 7534404297 7627421634 7653998016 7657809768 7813456308 7842235968 8405729964 8610747768 8615035989 8717053296 8751782592 8898658573 8929664352 9149275296 9806684958 9840854592 9845755416 10045872396 10169895512 10210413024 10417941744 11207639952 11252291904 11441132451 11480997024 11486714652 11622737728 11720184462 12608594946 13075579944 13127673888 13394496528 13447861056 13723912944 13890588992 14710027437 14943519936 15068808594 15254843268 15315619536 15626912616 16811459928 17221495536 17230071978 17434106592 17580276693 17797317146 17859328704 18298550592 19613369916 19691510832 20091744792 20339791024 20420826048 20835883488 22415279904 22882264902 22961994048 22973429304 23440368924 25217189892 26151159888 26255347776 26695975719 26788993056 27447825888 29420054874 30137617188 30509686536 30631239072 31253825232 33622919856 34323397353 34442991072 34460143956 34868213184 35160553386 35594634292 39226739832 39383021664 40183489584 40679582048 41671766976 44130082311 44830559808 45764529804 45946858608 46880737848 50434379784 52302319776 52740830079 53391951438 53577986112 54895651776 58840109748 60275234376 61019373072 61262478144 62507650464 67245839712 68646794706 68885982144 68920287912 70321106772 71189268584 78453479664 78766043328 80087927157 80366979168 81359164096 88260164622 91529059608 91893717216 93761475696 100868759568 102970192059 104604639552 105481660158 106783902876 117680219496 120550468752 122038746144 125015300928 134491679424 137293589412 137840575824 140642213544 142378537168 156906959328 160175854314 160733958336 176520329244 183058119216 183787434432 187522951392 201737519136 205940384118 210963320316 213567805752 235360438992 240263781471 241100937504 244077492288 274587178824 275681151648 281284427088 284757074336 308910576177 313813918656 320351708628 353040658488 366116238432 375045902784 403475038272 411880768236 421926640632 427135611504 470720877984 480527562942 482201875008 549174357648 551362303296 562568854176 569514148672 617821152354 640703417256 706081316976 720791344413 732232476864 823761536472 843853281264 854271223008 941441755968 961055125884 1098348715296 1125137708352 1235642304708 1281406834512 1412162633952 1441582688826 1647523072944 1687706562528 1708542446016 1922110251768 2162374033239 2196697430592 2471284609416 2562813669024 2824325267904 2883165377652 3295046145888 3375413125056 3844220503536 4324748066478 4942569218832 5125627338048 5766330755304 6590092291776 7688441007072 8649496132956 9885138437664 11532661510608 15376882014144 17298992265912 19770276875328 23065323021216 34597984531824 46130646042432 69195969063648 138391938127296
- Sum of all divisors σ(n): 493582790937600
- Sum of proper divisors (its aliquot sum) s(n): 355190852810304
- 138391938127296 is an abundant number, because the sum of its proper divisors (355190852810304) is greater than itself. Its abundance is 216798914683008
Bases of 138391938127296
- Binary: 111110111011101111000100100111111010101110000002
- Hexadecimal: 0x7DDDE24FD5C0
- Base-36: 1D20DMSC00
Squares and roots of 138391938127296
- 138391938127296 squared (1383919381272962) is 19152328538629324295500271616
- 138391938127296 cubed (1383919381272963) is 2650527866111634866538125733984634383630336
-
The
square root of 138391938127296 is 11764010.2910230403 -
The
cube root of 138391938127296 is 51725.3689565847
Scales and comparisons
How big is 138391938127296?- 138,391,938,127,296 seconds is equal to 4,400,435 years, 29 weeks, 3 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,391,938,127,296 would take you about eleven million, one thousand and eighty-eight 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 138391938127296 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138391938127296
- 138391938127296 backwards is 692721839193831
- 138391938127296 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138391938127296's digits is 72
- More coming soon!
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"Number 138391938127296 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138391938127296 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138391938127296/
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The information we have on file for 138391938127296 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 138391938127296, math, Factors of 138391938127296, curriculum, school, college, exams, university, Prime factorization of 138391938127296, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred ninety-one billion, nine hundred thirty-eight million, one hundred twenty-seven thousand, two hundred ninety-six.