138313345883185012976717824

Names of 138313345883185012976717824

• Cardinal: 138313345883185012976717824 can be written as One hundred thirty-eight septillion, three hundred thirteen sextillion, three hundred forty-five quintillion, eight hundred eighty-three quadrillion, one hundred eighty-five trillion, twelve billion, nine hundred seventy-six million, seven hundred seventeen thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.38313345883185012976717824 × 10²⁶

Factors of 138313345883185012976717824

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 732113640

Divisors of 138313345883185012976717824

• Number of divisors d(n): 117
• Complete list of divisors:
  1 2 4 8 16 32 64 128 251 256 502 512 1004 1024 2008 2048 4016 4096 8032 16064 32128 63001 64256 126002 128512 252004 257024 504008 514048 1008016 1028096 2016032 4032064 8064128 16128256 32256512 64513024 129026048 258052096 732113387 1464226774 2928453548 5856907096 11713814192 23427628384 46855256768 93710513536 183760460137 187421027072 367520920274 374842054144 735041840548 749684108288 1470083681096 1499368216576 2940167362192 2998736433152 5880334724384 11760669448768 23521338897536 46123875494387 47042677795072 92247750988774 94085355590144 184495501977548 188170711180288 368991003955096 376341422360576 737982007910192 752682844721152 1475964015820384 2951928031640768 5903856063281536 11807712126563072 23615424253126144 47230848506252288 94461697012504576 188923394025009152 535990011424611769 1071980022849223538 2143960045698447076 4287920091396894152 8575840182793788304 17151680365587576608 34303360731175153216 68606721462350306432 134533492867577554019 137213442924700612864 269066985735155108038 274426885849401225728 538133971470310216076 548853771698802451456 1076267942940620432152 1097707543397604902912 2152535885881240864304 2195415086795209805824 4305071771762481728608 8610143543524963457216 17220287087049926914432 33767906709761966058769 34440574174099853828864 67535813419523932117538 68881148348199707657728 135071626839047864235076 137762296696399415315456 270143253678095728470152 275524593392798830630912 540286507356191456940304 551049186785597661261824 1080573014712382913880608 2161146029424765827761216 4322292058849531655522432 8644584117699063311044864 17289168235398126622089728 34578336470796253244179456 69156672941592506488358912 138313345883185012976717824
• Sum of all divisors σ(n): 277699278373234014089710711
• Sum of proper divisors (its aliquot sum) s(n): 139385932490049001112992887
• 138313345883185012976717824 is an abundant number, because the sum of its proper divisors (139385932490049001112992887) is greater than itself. Its abundance is 1072586606863988136275063

Bases of 138313345883185012976717824

• Binary: 111001001101000111111011000000100100111110110110011100110011010110100010001000000000000₂
• Hexadecimal: 0x7268FD8127DB399AD11000
• Base-36: HDN5AV3UIAGE03N5S

Squares and roots of 138313345883185012976717824

• 138313345883185012976717824 squared (138313345883185012976717824²) is 19130581649401572577372265863807791174085483719294976
• 138313345883185012976717824 cubed (138313345883185012976717824³) is 2646014756620191753715517151875800459692626135384737349705236858396927772852224
• 138313345883185012976717824 is a perfect square number. Its square root is 11760669448768
• The cube root of 138313345883185012976717824 is 517155755.5710109905

Scales and comparisons

• 138,313,345,883,185,012,976,717,824 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,313,345,883,185,012,976,717,824 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 138313345883185012976717824 cubic inches would be around 43096313 feet tall.

Recreational maths with 138313345883185012976717824

• 138313345883185012976717824 backwards is 428717679210581388543313831
• The number of decimal digits it has is: 27
• The sum of 138313345883185012976717824's digits is 118
• More coming soon!