138823608442184896205650375

Names of 138823608442184896205650375

• Cardinal: 138823608442184896205650375 can be written as One hundred thirty-eight septillion, eight hundred twenty-three sextillion, six hundred eight quintillion, four hundred forty-two quadrillion, one hundred eighty-four trillion, eight hundred ninety-six billion, two hundred five million, six hundred fifty thousand, three hundred seventy-five.

Scientific notation

• Scientific notation: 1.38823608442184896205650375 × 10²⁶

Factors of 138823608442184896205650375

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1205

Divisors of 138823608442184896205650375

• Number of divisors d(n): 112
• Complete list of divisors:
  1 5 25 83 125 415 1117 2075 5585 6889 10375 27925 34445 92711 139625 172225 463555 571787 861125 1247689 2317775 2858935 6238445 7695013 11588875 14294675 31192225 38475065 71473375 103558187 155961125 192375325 517790935 638686079 961876625 1393668613 2588954675 3193430395 6968343065 8595329521 12944773375 15967151975 34841715325 42976647605 79835759875 115674494879 174208576625 214883238025 578372474395 713412350243 1074416190125 1556727840721 2891862371975 3567061751215 7783639203605 9600983074957 14459311859875 17835308756075 38918196018025 48004915374785 89176543780375 129208410779843 194590980090125 240024576873925 646042053899215 796881595221431 1200122884369625 1738864998085357 3230210269496075 3984407976107155 8694324990426785 10724298094726969 16151051347480375 19922039880535775 43471624952133925 53621490473634845 99610199402678875 144325794841084631 217358124760669625 268107452368174225 721628974205423155 890116741862338427 1340537261840871125 1942312202861343769 3608144871027115775 4450583709311692135 9711561014306718845 11979040971810024373 18040724355135578875 22252918546558460675 48557805071533594225 59895204859050121865 111264592732792303375 161211912837491532827 242789025357667971125 299476024295250609325 806059564187457664135 994260400660232022959 1497380121476253046625 4030297820937288320675 4971302003301160114795 13380588765511797224641 20151489104686441603375 24856510016505800573975 66902943827558986123205 124282550082529002869875 334514719137794930616025 1110588867537479169645203 1672573595688974653080125 5552944337687395848226015 27764721688436979241130075 138823608442184896205650375
• Sum of all divisors σ(n): 175521824058898309613231520
• Sum of proper divisors (its aliquot sum) s(n): 36698215616713413407581145
• 138823608442184896205650375 is a deficient number, because the sum of its proper divisors (36698215616713413407581145) is less than itself. Its deficiency is 102125392825471482798069230

Bases of 138823608442184896205650375

• Binary: 111001011010101000010101110010010101100111111101011011100001011010000010111100111000111₂
• Hexadecimal: 0x72D50AE4ACFEB70B4179C7
• Base-36: HFY8LYT9S2AIEXQDJ

Squares and roots of 138823608442184896205650375

• 138823608442184896205650375 squared (138823608442184896205650375²) is 19271994260909069584275272520507795405764076737640625
• 138823608442184896205650375 cubed (138823608442184896205650375³) is 2675407785176475181548120042813468766113694405264830358263298593624571146484375
• The square root of 138823608442184896205650375 is 11782343079463.6469966619
• 138823608442184896205650375 is a perfect cube number. Its cube root is 517790935
• Being both a perfect square and a perfect cube, 138823608442184896205650375 is also a perfect sixth number.

Scales and comparisons

• 138,823,608,442,184,896,205,650,375 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,823,608,442,184,896,205,650,375 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 138823608442184896205650375 cubic inches would be around 43149244.6 feet tall.

Recreational maths with 138823608442184896205650375

• 138823608442184896205650375 backwards is 573056502698481244806328831
• The number of decimal digits it has is: 27
• The sum of 138823608442184896205650375's digits is 118
• More coming soon!