138318103426121810944

Names of 138318103426121810944

• Cardinal: 138318103426121810944 can be written as One hundred thirty-eight quintillion, three hundred eighteen quadrillion, one hundred three trillion, four hundred twenty-six billion, one hundred twenty-one million, eight hundred ten thousand, nine hundred forty-four.

Scientific notation

• Scientific notation: 1.38318103426121810944 × 10²⁰

Factors of 138318103426121810944

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1030

Divisors of 138318103426121810944

• Number of divisors d(n): 275
• Complete list of divisors:
  1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 608 722 1009 1024 1216 1444 2018 2432 2888 4036 4864 5776 6859 8072 9728 11552 13718 16144 19171 19456 23104 27436 32288 38342 46208 54872 64576 76684 92416 109744 129152 130321 153368 184832 219488 258304 260642 306736 364249 369664 438976 516608 521284 613472 728498 877952 1018081 1033216 1042568 1226944 1456996 1755904 2036162 2085136 2453888 2913992 3511808 4072324 4170272 4907776 5827984 6920731 7023616 8144648 8340544 9815552 11655968 13841462 16289296 16681088 19343539 19631104 23311936 27682924 32578592 33362176 38687078 46623872 55365848 65157184 66724352 77374156 93247744 110731696 130314368 131493889 133448704 154748312 186495488 221463392 260628736 262987778 309496624 367527241 372990976 442926784 521257472 525975556 618993248 735054482 885853568 1027243729 1042514944 1051951112 1237986496 1470108964 1771707136 2054487458 2103902224 2475972992 2940217928 3543414272 4108974916 4207804448 4951945984 5880435856 6983017579 7086828544 8217949832 8415608896 9903891968 11760871712 13966035158 16435899664 16831217792 19517630851 19807783936 23521743424 27932070316 32871799328 33662435584 39035261702 47043486848 55864140632 65743598656 67324871168 78070523404 94086973696 111728281264 131487197312 132677334001 134649742336 156141046808 188173947392 223456562528 262974394624 265354668002 312282093616 370834986169 376347894784 446913125056 525948789248 530709336004 624564187232 741669972338 893826250112 1036488922561 1051897578496 1061418672008 1249128374464 1483339944676 1787652500224 2072977845122 2122837344016 2498256748928 2966679889352 3575305000448 4145955690244 4245674688032 4996513497856 5933359778704 7045864737211 7150610000896 8291911380488 8491349376064 9993026995712 11866719557408 14091729474422 16583822760976 16982698752128 19693289528659 19986053991424 23733439114816 28183458948844 33167645521952 33965397504256 39386579057318 47466878229632 56366917897688 66335291043904 67930795008512 78773158114636 94933756459264 112733835795376 132670582087808 133871430007009 135861590017024 157546316229272 189867512918528 225467671590752 265341164175616 267742860014018 315092632458544 374172501044521 379735025837056 450935343181504 530682328351232 535485720028036 630185264917088 748345002089042 901870686363008 1061364656702464 1070971440056072 1260370529834176 1496690004178084 1803741372726016 2141942880112144 2520741059668352 2993380008356168 3607482745452032 4283885760224288 5041482119336704 5986760016712336 7109277519845899 7214965490904064 8567771520448576 10082964238673408 11973520033424672 14218555039691798 17135543040897152 20165928477346816 23947040066849344 28437110079383596 34271086081794304 47894080133698688 56874220158767192 68542172163588608 95788160267397376 113748440317534384 135076272877072081 137084344327177216 191576320534794752 227496880635068768 270152545754144162 383152641069589504 454993761270137536 540305091508288324 909987522540275072 1080610183016576648 1819975045080550144 2161220366033153296 3639950090161100288 4322440732066306592 7279900180322200576 8644881464132613184 17289762928265226368 34579525856530452736 69159051713060905472 138318103426121810944
• Sum of all divisors σ(n): 292151732448686681827
• Sum of proper divisors (its aliquot sum) s(n): 153833629022564870883
• 138318103426121810944 is an abundant number, because the sum of its proper divisors (153833629022564870883) is greater than itself. Its abundance is 15515525596443059939

Bases of 138318103426121810944

• Binary: 1110111111110001100100111100011100110101111101110110100010000000000₂
• Hexadecimal: 0x77F8C9E39AFBB4400
• Base-36: T6VJFJG8PEZGG

Squares and roots of 138318103426121810944

• 138318103426121810944 squared (138318103426121810944²) is 19131897735399330254977236226194078171136
• 138318103426121810944 cubed (138318103426121810944³) is 2646287809702950218142732766245672972667141874101171869712384
• 138318103426121810944 is a perfect square number. Its square root is 11760871712
• The cube root of 138318103426121810944 is 5171616.8501208571

Scales and comparisons

• 138,318,103,426,121,810,944 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,318,103,426,121,810,944 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 138318103426121810944 cubic inches would be around 430968.1 feet tall.

Recreational maths with 138318103426121810944

• 138318103426121810944 backwards is 449018121624301813831
• The number of decimal digits it has is: 21
• The sum of 138318103426121810944's digits is 70
• More coming soon!