242139948244992
242,139,948,244,992 is an even composite number composed of five prime numbers multiplied together.
What does the number 242139948244992 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
242139948244992 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 242139948244992:
213 × 33 × 7 × 193 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 19 × 19 × 19 × 151 × 151)See below for interesting mathematical facts about the number 242139948244992 from the Numbermatics database.
Names of 242139948244992
- Cardinal: 242139948244992 can be written as Two hundred forty-two trillion, one hundred thirty-nine billion, nine hundred forty-eight million, two hundred forty-four thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 2.42139948244992 × 1014
Factors of 242139948244992
Divisors of 242139948244992
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 63 64 72 76 84 96 108 112 114 126 128 133 144 151 152 168 171 189 192 216 224 228 252 256 266 288 302 304 336 342 361 378 384 399 432 448 453 456 504 512 513 532 576 604 608 672 684 722 756 768 798 864 896 906 912 1008 1024 1026 1057 1064 1083 1152 1197 1208 1216 1344 1359 1368 1444 1512 1536 1596 1728 1792 1812 1824 2016 2048 2052 2114 2128 2166 2304 2394 2416 2432 2527 2688 2718 2736 2869 2888 3024 3072 3171 3192 3249 3456 3584 3591 3624 3648 4032 4077 4096 4104 4228 4256 4332 4608 4788 4832 4864 5054 5376 5436 5472 5738 5776 6048 6144 6342 6384 6498 6859 6912 7168 7182 7248 7296 7581 8064 8154 8192 8208 8456 8512 8607 8664 9216 9513 9576 9664 9728 9747 10108 10752 10872 10944 11476 11552 12096 12288 12684 12768 12996 13718 13824 14336 14364 14496 14592 15162 16128 16308 16416 16912 17024 17214 17328 18432 19026 19152 19328 19456 19494 20083 20216 20577 21504 21744 21888 22743 22801 22952 23104 24192 24576 25368 25536 25821 25992 27436 27648 28539 28672 28728 28992 29184 30324 32256 32616 32832 33824 34048 34428 34656 36864 38052 38304 38656 38912 38988 40166 40432 41154 43008 43488 43776 45486 45602 45904 46208 48013 48384 50736 51072 51642 51984 54511 54872 55296 57078 57344 57456 57984 58368 60249 60648 61731 64512 65232 65664 67648 68096 68229 68403 68856 69312 73728 76104 76608 77312 77463 77824 77976 80332 80864 82308 86016 86976 87552 90972 91204 91808 92416 96026 96768 101472 102144 103284 103968 109022 109744 110592 114156 114912 115968 116736 120498 121296 123462 129024 130464 131328 135296 136192 136458 136806 137712 138624 144039 152208 153216 154624 154926 155648 155952 159607 160664 161728 163533 164616 172032 173952 175104 180747 181944 182408 183616 184832 185193 192052 193536 202944 204288 205209 206568 207936 218044 219488 221184 228312 229824 231936 233472 240996 242592 246924 258048 260928 262656 270592 272384 272916 273612 275424 277248 288078 304416 306432 309248 309852 311904 319214 321328 323456 327066 329232 347904 350208 361494 363888 364816 367232 369664 370386 381577 384104 387072 405888 408576 410418 413136 415872 432117 433219 436088 438976 456624 459648 463872 466944 478821 481992 485184 490599 493848 516096 521856 525312 541184 542241 544768 545832 547224 550848 554496 576156 608832 612864 615627 618496 619704 623808 638428 642656 646912 654132 658464 695808 700416 722988 727776 729632 734464 739328 740772 763154 768208 774144 811776 817152 820836 826272 831744 864234 866438 872176 877952 913248 919296 927744 957642 963984 970368 981198 987696 1035709 1043712 1050624 1082368 1084482 1089536 1091664 1094448 1101696 1108992 1144731 1152312 1217664 1225728 1231254 1236992 1239408 1247616 1276856 1285312 1293824 1296351 1299657 1308264 1316928 1391616 1400832 1436463 1445976 1455552 1459264 1468928 1471797 1478656 1481544 1526308 1536416 1548288 1623552 1634304 1641672 1652544 1663488 1728468 1732876 1744352 1755904 1826496 1838592 1855488 1915284 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2121132032 2189488826 2206407168 2221019136 2328985344 2344409088 2370574368 2386273536 2502272944 2521608192 2620108512 2637460224 2654926848 2661697536 2765670096 2783985792 2815057062 2941876224 2994409728 3014240256 3105313792 3111378858 3125878784 3131984016 3160765824 3181698048 3284233239 3493478016 3516613632 3539902464 3548930048 3555861552 3579410304 3687560128 3711981056 3753409416 3922501632 3992546304 4018987008 4148505144 4175978688 4214354432 4222585593 4242264064 4378977652 4412814336 4442038272 4657970688 4688818176 4741148736 4772547072 5004545888 5043216384 5240217024 5274920448 5309853696 5323395072 5531340192 5567971584 5630114124 5883752448 5988819456 6028480512 6210627584 6222757716 6263968032 6321531648 6363396096 6568466478 6986956032 7033227264 7111723104 7158820608 7375120256 7423962112 7506818832 7985092608 8297010288 8351957376 8428708864 8445171186 8484528128 8757955304 8825628672 9315941376 9377636352 9482297472 9545094144 9852699717 10009091776 10480434048 10549840896 10619707392 10646790144 11062680384 11135943168 11260228248 11767504896 11977638912 12056961024 12421255168 12445515432 12527936064 12643063296 12726792192 13136932956 13973912064 14066454528 14223446208 14317641216 14750240512 14847924224 15013637664 15970185216 16594020576 16703914752 16857417728 16890342372 17515910608 17651257344 18631882752 18964594944 19090188288 19705399434 20018183552 20960868096 21099681792 22125360768 22271886336 22520456496 23955277824 24842510336 24891030864 25055872128 25286126592 25453584384 26273865912 27947824128 28132909056 28446892416 28635282432 29500481024 29558099151 29695848448 30027275328 31940370432 33188041152 33407829504 33714835456 33780684744 35031821216 35302514688 37263765504 37929189888 38180376576 39410798868 40036367104 41921736192 42199363584 44250721536 44543772672 45040912992 47910555648 49782061728 50111744256 50572253184 52547731824 55895648256 56893784832 57270564864 59000962048 59116198302 59391696896 60054550656 66376082304 66815659008 67429670912 67561369488 70063642432 74527531008 75858379776 76360753152 78821597736 80072734208 83843472384 84398727168 88501443072 89087545344 90081825984 95821111296 99564123456 100223488512 101144506368 105095463648 111791296512 113787569664 114541129728 118001924096 118232396604 120109101312 132752164608 133631318016 135122738976 140127284864 151716759552 157643195472 160145468416 167686944768 177002886144 178175090688 180163651968 199128246912 200446977024 202289012736 210190927296 223582593024 227575139328 229082259456 236003848192 236464793208 240218202624 265504329216 267262636032 270245477952 280254569728 303433519104 315286390944 320290936832 335373889536 354005772288 360327303936 398256493824 400893954048 420381854592 455150278656 472007696384 472929586416 480436405248 531008658432 534525272064 540490955904 560509139456 606867038208 630572781888 640581873664 670747779072 708011544576 720654607872 796512987648 801787908096 840763709184 910300557312 945859172832 960872810496 1062017316864 1080981911808 1121018278912 1261145563776 1281163747328 1416023089152 1441309215744 1593025975296 1603575816192 1681527418368 1820601114624 1891718345664 1921745620992 2124034633728 2161963823616 2242036557824 2522291127552 2882618431488 3186051950592 3363054836736 3783436691328 3843491241984 4248069267456 4323927647232 4484073115648 5044582255104 5765236862976 6372103901184 6726109673472 7566873382656 8647855294464 8968146231296 10089164510208 11530473725952 12744207802368 13452219346944 15133746765312 17295710588928 20178329020416 26904438693888 30267493530624 34591421177856 40356658040832 60534987061248 80713316081664 121069974122496 242139948244992
- Sum of all divisors σ(n): 871207152883200
- Sum of proper divisors (its aliquot sum) s(n): 629067204638208
- 242139948244992 is an abundant number, because the sum of its proper divisors (629067204638208) is greater than itself. Its abundance is 386927256393216
Bases of 242139948244992
- Binary: 1101110000111001100110011001100111100000000000002
- Hexadecimal: 0xDC399999E000
- Base-36: 2DTXK1BEO0
Squares and roots of 242139948244992
- 242139948244992 squared (2421399482449922) is 58631754536087404340853080064
- 242139948244992 cubed (2421399482449923) is 14197090008881279017854264446611074463039488
-
The
square root of 242139948244992 is 15560846.6429366239 -
The
cube root of 242139948244992 is 62328.8070995563
Scales and comparisons
How big is 242139948244992?- 242,139,948,244,992 seconds is equal to 7,699,301 years, 19 weeks, 6 hours, 43 minutes, 12 seconds.
-
To count from 1 to 242,139,948,244,992 would take you about nineteen million, two hundred forty-eight thousand, two hundred fifty-three 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 242139948244992 cubic inches would be around 5194.1 feet tall.
Recreational maths with 242139948244992
- 242139948244992 backwards is 299442849931242
- 242139948244992 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242139948244992's digits is 72
- More coming soon!
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The information we have on file for 242139948244992 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 242139948244992, math, Factors of 242139948244992, curriculum, school, college, exams, university, Prime factorization of 242139948244992, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two trillion, one hundred thirty-nine billion, nine hundred forty-eight million, two hundred forty-four thousand, nine hundred ninety-two.