242135755623140341248
242,135,755,623,140,341,248 is an even composite number composed of six prime numbers multiplied together.
242135755623140341248 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 242135755623140341248:
29 × 33 × 11 × 13 × 263 × 465729142553
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 263 × 465729142553)See below for interesting mathematical facts about the number 242135755623140341248 from the Numbermatics database.
Names of 242135755623140341248
- Cardinal: 242135755623140341248 can be written as Two hundred forty-two quintillion, one hundred thirty-five quadrillion, seven hundred fifty-five trillion, six hundred twenty-three billion, one hundred forty million, three hundred forty-one thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 2.42135755623140341248 × 1020
Factors of 242135755623140341248
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 465729142845
Divisors of 242135755623140341248
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 72 78 88 96 99 104 108 117 128 132 143 144 156 176 192 198 208 216 234 256 263 264 286 288 297 312 351 352 384 396 416 429 432 468 512 526 528 572 576 594 624 702 704 768 789 792 832 858 864 936 1052 1056 1144 1152 1188 1248 1287 1404 1408 1536 1578 1584 1664 1716 1728 1872 2104 2112 2288 2304 2367 2376 2496 2574 2808 2816 2893 3156 3168 3328 3419 3432 3456 3744 3861 4208 4224 4576 4608 4734 4752 4992 5148 5616 5632 5786 6312 6336 6656 6838 6864 6912 7101 7488 7722 8416 8448 8679 9152 9468 9504 9984 10257 10296 11232 11572 12624 12672 13676 13728 13824 14202 14976 15444 16832 16896 17358 18304 18936 19008 19968 20514 20592 22464 23144 25248 25344 26037 27352 27456 28404 29952 30771 30888 33664 34716 36608 37609 37872 38016 41028 41184 44928 46288 50496 50688 52074 54704 54912 56808 59904 61542 61776 67328 69432 73216 75218 75744 76032 78111 82056 82368 89856 92313 92576 100992 104148 109408 109824 112827 113616 123084 123552 134656 138864 150436 151488 152064 156222 164112 164736 179712 184626 185152 201984 208296 218816 219648 225654 227232 246168 247104 277728 300872 302976 312444 328224 329472 338481 369252 370304 403968 416592 437632 451308 454464 492336 494208 555456 601744 605952 624888 656448 658944 676962 738504 740608 833184 875264 902616 908928 984672 988416 1015443 1110912 1203488 1211904 1249776 1312896 1353924 1477008 1481216 1666368 1750528 1805232 1817856 1969344 1976832 2030886 2221824 2406976 2499552 2625792 2707848 2954016 3332736 3610464 3635712 3938688 4061772 4443648 4813952 4999104 5251584 5415696 5908032 6665472 7220928 7877376 8123544 9627904 9998208 10831392 11816064 13330944 14441856 15754752 16247088 19255808 19996416 21662784 23632128 28883712 32494176 39992832 43325568 47264256 57767424 64988352 86651136 129976704 173302272 259953408 519906816 465729142553 931458285106 1397187427659 1862916570212 2794374855318 3725833140424 4191562282977 5123020568083 5588749710636 6054478853189 7451666280848 8383124565954 10246041136166 11177499421272 12108957706378 12574686848931 14903332561696 15369061704249 16766249131908 18163436559567 20492082272332 22354998842544 24217915412756 25149373697862 29806665123392 30738123408498 33532498263816 36326873119134 40984164544664 44709997685088 46107185112747 48435830825512 50298747395724 54490309678701 59613330246784 61476246816996 66599267385079 67064996527632 72653746238268 81968329089328 89419995370176 92214370225494 96871661651024 100597494791448 108980619357402 119226660493568 122486764491439 122952493633992 133198534770158 134129993055264 138321555338241 145307492476536 163470929036103 163936658178656 178839990740352 184428740450988 193743323302048 199797802155237 201194989582896 217961238714804 238453320987136 244973528982878 245904987267984 266397069540316 268259986110528 276643110676482 290614984953072 326941858072206 327873316357312 357679981480704 367460293474317 368857480901976 387486646604096 399595604310474 402389979165792 435922477429608 489947057965756 491809974535968 532794139080632 536519972221056 553286221352964 581229969906144 599393406465711 653883716144412 655746632714624 715359962961408 734920586948634 737714961803952 774973293208192 799191208620948 804779958331584 871844954859216 979894115931512 983619949071936 1065588278161264 1073039944442112 1102380880422951 1106572442705928 1162459939812288 1198786812931422 1307767432288824 1311493265429248 1347354409405829 1469841173897268 1475429923607904 1549946586416384 1592327938388707 1598382417241896 1609559916663168 1743689909718432 1798180219397133 1959788231863024 1967239898143872 2131176556322528 2146079888884224 2204761760845902 2213144885411856 2324919879624576 2397573625862844 2615534864577648 2622986530858496 2694708818811658 2939682347794536 2950859847215808 3099893172832768 3184655876777414 3196764834483792 3219119833326336 3307142641268853 3487379819436864 3596360438794266 3919576463726048 3934479796287744 4042063228217487 4262353112645056 4409523521691804 4426289770823712 4649839759249152 4776983815166121 4795147251725688 5231069729155296 5389417637623316 5879364695589072 5901719694431616 6369311753554828 6393529668967584 6438239666652672 6614285282537706 6974759638873728 7192720877588532 7839152927452096 7868959592575488 8084126456434974 8524706225290112 8819047043383608 8852579541647424 9299679518498304 9553967630332242 9590294503451376 10462139458310592 10778835275246632 11758729391178144 11803439388863232 12126189684652461 12738623507109656 12787059337935168 13228570565075412 13949519277747456 14330951445498363 14385441755177064 15678305854904192 16168252912869948 17049412450580224 17515607322275777 17638094086767216 17705159083294848 19107935260664484 19180589006902752 20924278916621184 21557670550493264 23517458782356288 23606878777726464 24252379369304922 25477247014219312 25574118675870336 26457141130150824 27899038555494912 28661902890996726 28770883510354128 31356611709808384 32336505825739896 34098824901160448 35031214644551554 35276188173534432 35410318166589696 36378569053957383 38215870521328968 38361178013805504 41848557833242368 42992854336495089 43115341100986528 47034917564712576 48504758738609844 50954494028438624 51148237351740672 52546821966827331 52914282260301648 57323805781993452 57541767020708256 62713223419616768 64673011651479792 70062429289103108 70552376347068864 70820636333179392 72757138107914766 76431741042657936 76722356027611008 83697115666484736 85985708672990178 86230682201973056 94069835129425152 97009517477219688 101908988056877248 102296474703481344 105093643933654662 105828564520603296 114647611563986904 115083534041416512 129346023302959584 140124858578206216 141104752694137728 145514276215829532 152863482085315872 153444712055222016 157640465900481993 171971417345980356 172461364403946112 188139670258850304 194019034954439376 203817976113754496 210187287867309324 211657129041206592 229295223127973808 230167068082833024 258692046605919168 280249717156412432 282209505388275456 291028552431659064 305726964170631744 306889424110444032 315280931800963986 343942834691960712 344922728807892224 388038069908878752 407635952227508992 420374575734618648 423314258082413184 458590446255947616 460334136165666048 472921397701445979 517384093211838336 560499434312824864 564419010776550912 582057104863318128 611453928341263488 630561863601927972 687885669383921424 689845457615784448 776076139817757504 815271904455017984 840749151469237296 846628516164826368 917180892511895232 920668272331332096 945842795402891958 1034768186423676672 1120998868625649728 1164114209726636256 1222907856682526976 1261123727203855944 1375771338767842848 1552152279635515008 1681498302938474592 1693257032329652736 1834361785023790464 1891685590805783916 2069536372847353344 2241997737251299456 2328228419453272512 2445815713365053952 2522247454407711888 2751542677535685696 3104304559271030016 3362996605876949184 3668723570047580928 3783371181611567832 4483995474502598912 4656456838906545024 5044494908815423776 5503085355071371392 6208609118542060032 6725993211753898368 7337447140095161856 7566742363223135664 8967990949005197824 9312913677813090048 10088989817630847552 11006170710142742784 13451986423507796736 15133484726446271328 18625827355626180096 20177979635261695104 22012341420285485568 26903972847015593472 30266969452892542656 40355959270523390208 60533938905785085312 80711918541046780416 121067877811570170624 242135755623140341248
- Sum of all divisors σ(n): 845244294638310927360
- Sum of proper divisors (its aliquot sum) s(n): 603108539015170586112
- 242135755623140341248 is an abundant number, because the sum of its proper divisors (603108539015170586112) is greater than itself. Its abundance is 360972783392030244864
Bases of 242135755623140341248
- Binary: 110100100000010011110000001011011001010110100001001010110110000000002
- Hexadecimal: 0xD204F02D95A12B600
- Base-36: 1F3MTLT7RS8LC0
Squares and roots of 242135755623140341248
- 242135755623140341248 squared (2421357556231403412482) is 58629724151189139386388129370673890197504
- 242135755623140341248 cubed (2421357556231403412483) is 14196352559324462727971433890431133523977829576916324677844992
-
The
square root of 242135755623140341248 is 15560711925.3310624755 -
The
cube root of 242135755623140341248 is 6232844.7359071849
Scales and comparisons
How big is 242135755623140341248?- 242,135,755,623,140,341,248 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 242,135,755,623,140,341,248 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 242135755623140341248 cubic inches would be around 519403.7 feet tall.
Recreational maths with 242135755623140341248
- 242135755623140341248 backwards is 842143041326557531242
- 242135755623140341248 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 242135755623140341248's digits is 72
- More coming soon!
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The information we have on file for 242135755623140341248 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 242135755623140341248, math, Factors of 242135755623140341248, curriculum, school, college, exams, university, Prime factorization of 242135755623140341248, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two quintillion, one hundred thirty-five quadrillion, seven hundred fifty-five trillion, six hundred twenty-three billion, one hundred forty million, three hundred forty-one thousand, two hundred forty-eight.