138284900048052582426
138,284,900,048,052,582,426 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138284900048052582426 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
138284900048052582426 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138284900048052582426:
2 × 35 × 7 × 19 × 137 × 233 × 67020916387
(2 × 3 × 3 × 3 × 3 × 3 × 7 × 19 × 137 × 233 × 67020916387)See below for interesting mathematical facts about the number 138284900048052582426 from the Numbermatics database.
Names of 138284900048052582426
- Cardinal: 138284900048052582426 can be written as One hundred thirty-eight quintillion, two hundred eighty-four quadrillion, nine hundred trillion, forty-eight billion, fifty-two million, five hundred eighty-two thousand, four hundred twenty-six.
Scientific notation
- Scientific notation: 1.38284900048052582426 × 1020
Factors of 138284900048052582426
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 67020916788
Divisors of 138284900048052582426
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 137 162 171 189 233 243 266 274 342 378 399 411 466 486 513 567 699 798 822 959 1026 1134 1197 1233 1398 1539 1631 1701 1918 2097 2394 2466 2603 2877 3078 3262 3402 3591 3699 4194 4427 4617 4893 5206 5754 6291 7182 7398 7809 8631 8854 9234 9786 10773 11097 12582 13281 14679 15618 17262 18221 18873 21546 22194 23427 25893 26562 29358 30989 31921 32319 33291 36442 37746 39843 44037 46854 51786 54663 56619 61978 63842 64638 66582 70281 77679 79686 88074 92967 95763 109326 113238 119529 132111 140562 155358 163989 185934 191526 210843 223447 233037 239058 264222 278901 287289 327978 358587 396333 421686 446894 466074 491967 557802 574578 606499 632529 670341 717174 792666 836703 861867 983934 1075761 1212998 1265058 1340682 1475901 1673406 1723734 1819497 2011023 2151522 2510109 2585601 2951802 3638994 4022046 4245493 4427703 5020218 5171202 5458491 6033069 7530327 7756803 8490986 8855406 10916982 12066138 12736479 15060654 15513606 16375473 18099207 25472958 32750946 36198414 38209437 49126419 54297621 76418874 98252838 108595242 114628311 147379257 229256622 294758514 343884933 687769866 1031654799 2063309598 67020916387 134041832774 201062749161 402125498322 469146414709 603188247483 938292829418 1206376494966 1273397411353 1407439244127 1809564742449 2546794822706 2814878488254 3619129484898 3820192234059 4222317732381 5428694227347 7640384468118 8444635464762 8913781879471 9181865545019 10857388454694 11460576702177 12666953197143 15615873518171 16286082682041 17827563758942 18363731090038 22921153404354 25333906394286 26741345638413 27545596635057 31231747036342 32572165364082 34381730106531 38000859591429 46847620554513 53482691276826 55091193270114 64273058815133 68763460213062 76001719182858 80224036915239 82636789905171 93695241109026 103145190319593 109311114627197 114002578774287 128546117630266 140542861663539 160448073830478 165273579810342 174455445355361 192819176445399 206290380639186 218622229254394 228005157548574 240672110745717 247910369715513 281085723327078 296701596845249 309435570958779 327933343881591 348910890710722 385638352890798 421628584990617 481344221491434 495820739431026 523366336066083 578457529336197 593403193690498 618871141917558 655866687763182 722016332237151 743731109146539 843257169981234 890104790535747 983800031644773 1046732672132166 1156915058672394 1221188117487527 1264885754971851 1444032664474302 1487462218293078 1570099008198249 1735372588008591 1780209581071494 1967600063289546 2076911177916743 2139374671989427 2166048996711453 2231193327439617 2442376234975054 2529771509943702 2670314371607241 2951400094934319 3140198016396498 3470745176017182 3663564352462581 3794657264915553 4153822355833486 4278749343978854 4332097993422906 4462386654879234 4710297024594747 5206117764025773 5340628743214482 5902800189868638 6230733533750229 6418124015968281 7327128704925162 7589314529831106 8010943114821723 8854200284802957 9420594049189494 10412235528051546 10990693057387743 12461467067500458 12836248031936562 14130891073784241 14975622703925989 15618353292077319 16021886229643446 17708400569605914 18692200601250687 19254372047904843 21981386114775486 24032829344465169 26562600854408871 28261782147568482 29951245407851978 31236706584154638 32972079172163229 37384401202501374 38508744095809686 40648118767799113 42392673221352723 44926868111777967 48065658688930338 53125201708817742 56076601803752061 57763116143714529 65944158344326458 72098488033395507 81296237535598226 84785346442705446 89853736223555934 98916237516489687 112153203607504122 115526232287429058 121944356303397339 134780604335333901 144196976066791014 168229805411256183 173289348431143587 197832475032979374 243888712606794678 269561208670667802 284536831374593791 296748712549469061 336459610822512366 346578696862287174 365833068910192017 404341813006001703 504689416233768549 519868045293430761 569073662749187582 593497425098938122 731666137820384034 808683626012003406 853610494123781373 1009378832467537098 1039736090586861522 1097499206730576051 1213025439018005109 1707220988247562746 2194998413461152102 2426050878036010218 2560831482371344119 3292497620191728153 3639076317054015327 5121662964742688238 6584995240383456306 7278152634108030654 7682494447114032357 9877492860575184459 15364988894228064714 19754985721150368918 23047483341342097071 46094966682684194142 69142450024026291213 138284900048052582426
- Sum of all divisors σ(n): 378135913559266437120
- Sum of proper divisors (its aliquot sum) s(n): 239851013511213854694
- 138284900048052582426 is an abundant number, because the sum of its proper divisors (239851013511213854694) is greater than itself. Its abundance is 101566113463161272268
Bases of 138284900048052582426
- Binary: 11101111111000101101010011111101101110011001001001001111000000110102
- Hexadecimal: 0x77F16A7EDCC92781A
- Base-36: T6MGHXAXKTBMI
Squares and roots of 138284900048052582426
- 138284900048052582426 squared (1382849000480525824262) is 19122713581299893113351385477807524045476
- 138284900048052582426 cubed (1382849000480525824263) is 2644382536237593359764687771714372893649889555358212462404776
-
The
square root of 138284900048052582426 is 11759460023.6597846273 -
The
cube root of 138284900048052582426 is 5171202.9999999989
Scales and comparisons
How big is 138284900048052582426?- 138,284,900,048,052,582,426 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 138,284,900,048,052,582,426 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 138284900048052582426 cubic inches would be around 430933.6 feet tall.
Recreational maths with 138284900048052582426
- 138284900048052582426 backwards is 624285250840009482831
- 138284900048052582426 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138284900048052582426's digits is 81
- More coming soon!
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The information we have on file for 138284900048052582426 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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