242138526892416
242,138,526,892,416 is an even composite number composed of seven prime numbers multiplied together.
242138526892416 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 242138526892416:
27 × 34 × 7 × 11 × 31 × 2521 × 3881
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 31 × 2521 × 3881)See below for interesting mathematical facts about the number 242138526892416 from the Numbermatics database.
Names of 242138526892416
- Cardinal: 242138526892416 can be written as Two hundred forty-two trillion, one hundred thirty-eight billion, five hundred twenty-six million, eight hundred ninety-two thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 2.42138526892416 × 1014
Factors of 242138526892416
Divisors of 242138526892416
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 31 32 33 36 42 44 48 54 56 62 63 64 66 72 77 81 84 88 93 96 99 108 112 124 126 128 132 144 154 162 168 176 186 189 192 198 216 217 224 231 248 252 264 279 288 297 308 324 336 341 352 372 378 384 396 432 434 448 462 496 504 528 558 567 576 594 616 648 651 672 682 693 704 744 756 792 837 864 868 891 896 924 992 1008 1023 1056 1116 1134 1152 1188 1232 1296 1302 1344 1364 1386 1408 1488 1512 1584 1674 1728 1736 1782 1848 1953 1984 2016 2046 2079 2112 2232 2268 2376 2387 2464 2511 2521 2592 2604 2688 2728 2772 2976 3024 3069 3168 3348 3456 3472 3564 3696 3881 3906 3968 4032 4092 4158 4224 4464 4536 4752 4774 4928 5022 5042 5184 5208 5456 5544 5859 5952 6048 6138 6237 6336 6696 6944 7128 7161 7392 7563 7762 7812 8064 8184 8316 8928 9072 9207 9504 9548 9856 10044 10084 10368 10416 10912 11088 11643 11718 11904 12096 12276 12474 12672 13392 13888 14256 14322 14784 15126 15524 15624 16368 16632 17577 17647 17856 18144 18414 19008 19096 20088 20168 20832 21483 21824 22176 22689 23286 23436 24192 24552 24948 26784 27167 27621 27731 27776 28512 28644 29568 30252 31048 31248 32736 33264 34929 35154 35294 35712 36288 36828 38016 38192 40176 40336 41664 42691 42966 43648 44352 45378 46572 46872 49104 49896 52941 53568 54334 55242 55462 57024 57288 60504 62096 62496 64449 65472 66528 68067 69858 70308 70588 72576 73656 76384 78151 80352 80672 81501 83193 83328 85382 85932 88704 90756 93144 93744 98208 99792 104787 105882 107136 108668 110484 110924 114048 114576 120311 121008 124192 124992 128073 128898 130944 133056 136134 139716 140616 141176 147312 152768 156302 158823 160704 161344 163002 166386 170764 171864 181512 186288 187488 193347 194117 196416 199584 204201 209574 211764 217336 220968 221848 229152 234453 240622 242016 244503 248384 249579 249984 256146 257796 266112 272268 279432 281232 282352 294624 298837 305536 312604 314361 317646 321408 322688 326004 332772 341528 343728 360933 363024 372576 374976 384219 386694 388234 392832 399168 408402 419148 423528 434672 441936 443696 458304 468906 476469 481244 484032 489006 496768 499158 512292 515592 544536 547057 558864 562464 564704 582351 589248 597674 625208 628722 635292 652008 665544 683056 687456 703359 721866 726048 733509 745152 748737 749952 768438 773388 776468 798336 816804 838296 842177 847056 859661 869344 883872 887392 896511 916608 937812 952938 962488 968064 978012 998316 1024584 1031184 1082799 1089072 1094114 1117728 1124928 1129408 1152657 1164702 1178496 1195348 1250416 1257444 1270584 1304016 1323421 1331088 1366112 1374912 1406718 1429407 1443732 1452096 1467018 1490304 1497474 1536876 1546776 1552936 1633608 1641171 1676592 1684354 1694112 1719322 1738688 1747053 1767744 1774784 1793022 1875624 1905876 1924976 1956024 1996632 2049168 2062368 2110077 2165598 2178144 2188228 2200527 2235456 2246211 2249856 2258816 2305314 2329404 2390696 2500832 2514888 2526531 2541168 2578983 2608032 2646842 2662176 2689533 2732224 2749824 2813436 2858814 2887464 2904192 2934036 2994948 3073752 3093552 3105872 3248397 3267216 3282342 3353184 3368708 3388224 3438644 3457971 3477376 3494106 3535488 3549568 3586044 3751248 3811752 3849952 3912048 3970263 3993264 4098336 4124736 4220154 4331196 4356288 4376456 4401054 4470912 4492422 4610628 4658808 4781392 4923513 5001664 5029776 5053062 5082336 5157966 5216064 5241159 5293684 5324352 5379066 5464448 5626872 5717628 5774928 5868072 5989896 6017627 6147504 6187104 6211744 6330231 6496794 6534432 6564684 6706368 6737416 6776448 6877288 6915942 6988212 7172088 7502496 7579593 7623504 7699904 7736949 7824096 7940526 7986528 8068599 8196672 8249472 8440308 8662392 8712576 8752912 8802108 8984844 9221256 9263947 9317616 9562784 9745191 9784001 9847026 10003328 10059552 10106124 10164672 10315932 10432128 10482318 10587368 10648704 10758132 11253744 11435256 11549856 11736144 11910789 11979792 12035254 12295008 12374208 12423488 12660462 12993588 13068864 13129368 13412736 13474832 13754576 13831884 13976424 14344176 14770539 15004992 15159186 15247008 15399808 15473898 15648192 15723477 15881052 15973056 16137198 16393344 16880616 17324784 17505824 17604216 17969688 18052881 18442512 18527894 18635232 19125568 19490382 19568002 19694052 20119104 20212248 20329344 20631864 20964636 21174736 21516264 22507488 22738779 22870512 23099712 23210847 23472288 23821578 23959584 24070508 24205797 24590016 24748416 24846976 25320924 25987176 26137728 26258736 26949664 27509152 27663768 27791841 27952848 28688352 29352003 29541078 30009984 30318372 30494016 30947796 31296384 31446954 31762104 31946112 32274396 33761232 34649568 35011648 35208432 35732367 35939376 36105762 36885024 37055788 37270464 38251136 38980764 39136004 39388104 40238208 40424496 41263728 41929272 42349472 43032528 44311617 45014976 45477558 45741024 46199424 46421694 46944576 47643156 47919168 48141016 48411594 49180032 50641848 51974352 52517472 53899328 54158643 55018304 55327536 55583682 55905696 57376704 58704006 59082156 60636744 60988032 61895592 62893908 63524208 64548792 67522464 68216337 68488007 69299136 69632541 70023296 70416864 71464734 71878752 72211524 73770048 74111576 74540928 77961528 78272008 78776208 80848992 82527456 83375523 83858544 84698944 86065056 88056009 88623234 90029952 90955116 91482048 92843388 93889152 95286312 95838336 96282032 96823188 101283696 103948704 105034944 107197101 107624011 107798656 108317286 110036608 110655072 111167364 111811392 114753408 117408012 118164312 121273488 123791184 125787816 127048416 129097584 135044928 136432674 136976014 138598272 139265082 140833728 142929468 143757504 144423048 147540096 148223152 155923056 156544016 157552416 161697984 162475929 165054912 166751046 167717088 169397888 172130112 176112018 177246468 181910232 182964096 185686776 190572624 192564064 193646376 202567392 205464021 207897408 210069888 214394202 215248022 216634572 221310144 222334728 223622784 234816024 236328624 242546976 247582368 250126569 251575632 254096832 258195168 264168027 270089856 272865348 273952028 278530164 281667456 285858936 287515008 288846096 296446304 303304031 311846112 313088032 315104832 322872033 323395968 324951858 330109824 333502092 335434176 344260224 352224036 354492936 363820464 371373552 381145248 385128128 387292752 405134784 410928042 415794816 428788404 430496044 433269144 442620288 444669456 469632048 472657248 485093952 487427787 495164736 500253138 503151264 508193664 516390336 528336054 545730696 547904056 557060328 571717872 577692192 592892608 606608062 616392063 623692224 626176064 630209664 645744066 649903716 667004184 670868352 704448072 708985872 727640928 742747104 750379707 753368077 762290496 770256256 774585504 792504081 810269568 821856084 857576808 860992088 866538288 889338912 909912093 939264096 945314496 968616099 970187904 974855574 990329472 1000506276 1006302528 1032780672 1056672108 1091461392 1095808112 1114120656 1143435744 1155384384 1185785216 1213216124 1232784126 1247384448 1252352128 1291488132 1299807432 1334008368 1408896144 1417971744 1455281856 1485494208 1500759414 1506736154 1524580992 1549171008 1585008162 1643712168 1715153616 1721984176 1733076576 1778677824 1819824186 1849176189 1878528192 1890628992 1937232198 1949711148 2001012552 2012605056 2113344216 2123128217 2182922784 2191616224 2228241312 2260104231 2286871488 2310768768 2426432248 2465568252 2582976264 2599614864 2668016736 2729736279 2817792288 2835943488 2905848297 2910563712 2970988416 3001518828 3013472308 3098342016 3170016324 3287424336 3336344341 3430307232 3443968352 3466153152 3557355648 3639648372 3698352378 3757056384 3874464396 3899422296 4002025104 4226688432 4246256434 4365845568 4383232448 4456482624 4520208462 4573742976 4852864496 4931136504 5165952528 5199229728 5336033472 5459472558 5547528567 5635584576 5671886976 5811696594 6003037656 6026944616 6340032648 6369384651 6574848672 6672688682 6780312693 6860614464 6887936704 6932306304 7279296744 7396704756 7748928792 7798844592 8004050208 8189208837 8453376864 8492512868 8717544891 8731691136 8766464896 8912965248 9040416924 9705728992 9862273008 10009033023 10331905056 10398459456 10672066944 10918945116 11095057134 11271169152 11623393188 12006075312 12053889232 12680065296 12738769302 13149697344 13345377364 13560625386 13721228928 13775873408 14558593488 14793409512 15497857584 15597689184 16008100416 16378417674 16906753728 16985025736 17435089782 18080833848 19108153953 19411457984 19724546016 20018066046 20340938079 20663810112 20796918912 21837890232 22190114268 23246786376 23354410387 24012150624 24107778464 24567626511 25360130592 25477538604 26299394688 26690754728 27121250772 29117186976 29586819024 30027099069 30995715168 31195378368 32016200832 32756835348 33813507456 33970051472 34870179564 36161667696 38216307906 38822915968 39449092032 40036132092 40681876158 41327620224 43675780464 44380228536 46493572752 46708820774 48024301248 48215556928 49135253022 50720261184 50955077208 53381509456 54242501544 57324461859 58234373952 59173638048 60054198138 61022814237 61991430336 62390756736 65513670696 67940102944 69740359128 70063231161 72323335392 76432615812 78898184064 80072264184 81363752316 87351560928 88760457072 90081297207 92987145504 93417641548 96048602496 96431113856 98270506044 101440522368 101910154416 106763018912 108485003088 114648923718 116468747904 118347276096 120108396276 122045628474 123982860672 131027341392 135880205888 139480718256 140126462322 144646670784 152865231624 160144528368 162727504632 171973385577 174703121856 177520914144 180162594414 185974291008 186835283096 196541012088 203820308832 210189693483 213526037824 216970006176 229297847436 236694552192 240216792552 244091256948 262054682784 270243891621 271760411776 278961436512 280252924644 289293341568 305730463248 320289056736 325455009264 343946771154 349406243712 355041828288 360325188828 371948582016 373670566192 393082024176 407640617664 420379386966 427052075648 433940012352 458595694872 480433585104 488182513896 524109365568 540487783242 557922873024 560505849288 611460926496 630569080449 640578113472 650910018528 687893542308 710083656576 720650377656 747341132384 786164048352 815281235328 840758773932 867880024704 917191389744 960867170208 976365027792 1048218731136 1080975566484 1115845746048 1121011698576 1222921852992 1261138160898 1281156226944 1301820037056 1375787084616 1441300755312 1494682264768 1572328096704 1681517547864 1834382779488 1891707241347 1921734340416 1952730055584 2161951132968 2242023397152 2445843705984 2522276321796 2603640074112 2751574169232 2882601510624 2989364529536 3144656193408 3363035095728 3668765558976 3783414482694 3843468680832 3905460111168 4323902265936 4484046794304 5044552643592 5503148338464 5765203021248 6726070191456 7337531117952 7566828965388 7810920222336 8647804531872 8968093588608 10089105287184 11006296676928 11530406042496 13452140382912 15133657930776 17295609063744 20178210574368 22012593353856 26904280765824 30267315861552 34591218127488 40356421148736 60534631723104 80712842297472 121069263446208 242138526892416
- Sum of all divisors σ(n): 927998716170240
- Sum of proper divisors (its aliquot sum) s(n): 685860189277824
- 242138526892416 is an abundant number, because the sum of its proper divisors (685860189277824) is greater than itself. Its abundance is 443721662385408
Bases of 242138526892416
- Binary: 1101110000111001010001001110000111000001100000002
- Hexadecimal: 0xDC3944E1C180
- Base-36: 2DTWWJ2W00
Squares and roots of 242138526892416
- 242138526892416 squared (2421385268924162) is 58631066205629266434038317056
- 242138526892416 cubed (2421385268924163) is 14196840001162785055762161753459238209847296
-
The
square root of 242138526892416 is 15560800.9720713285 -
The
cube root of 242138526892416 is 62328.6851433839
Scales and comparisons
How big is 242138526892416?- 242,138,526,892,416 seconds is equal to 7,699,256 years, 8 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 242,138,526,892,416 would take you about nineteen million, two hundred forty-eight thousand, one hundred forty 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 242138526892416 cubic inches would be around 5194.1 feet tall.
Recreational maths with 242138526892416
- 242138526892416 backwards is 614298625831242
- 242138526892416 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242138526892416's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 242138526892416 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 242138526892416 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/242138526892416/
Chicago style:
Numbermatics. 2024. "Number 242138526892416 - Facts about the integer". https://numbermatics.com/n/242138526892416/
The information we have on file for 242138526892416 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 242138526892416, math, Factors of 242138526892416, curriculum, school, college, exams, university, Prime factorization of 242138526892416, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two trillion, one hundred thirty-eight billion, five hundred twenty-six million, eight hundred ninety-two thousand, four hundred sixteen.