13644149145616431

Names of 13644149145616431

• Cardinal: 13644149145616431 can be written as Thirteen quadrillion, six hundred forty-four trillion, one hundred forty-nine billion, one hundred forty-five million, six hundred sixteen thousand, four hundred thirty-one.

Scientific notation

• Scientific notation: 1.3644149145616431 × 10¹⁶

Factors of 13644149145616431

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 132

Divisors of 13644149145616431

• Number of divisors d(n): 300
• Complete list of divisors:
  1 3 9 13 27 37 39 79 81 111 117 237 243 333 351 481 711 729 999 1027 1053 1369 1443 2133 2187 2923 2997 3081 3159 4107 4329 6241 6399 6561 8769 8991 9243 9477 12321 12987 17797 18723 19197 19683 26307 26973 27729 28431 36963 37999 38961 53391 56169 57591 78921 80919 81133 83187 85293 108151 110889 113997 116883 160173 168507 172773 230917 236763 242757 243399 249561 255879 324453 332667 341991 350649 480519 493039 505521 518319 692751 710289 728271 730197 748683 973359 998001 1025973 1051947 1405963 1441557 1479117 1516563 1554957 2078253 2130867 2190591 2246049 2920077 2994003 3001921 3077919 3155841 4217889 4324671 4437351 4549689 6234759 6392601 6409507 6571773 6738147 8543929 8760231 8982009 9005763 9233757 9467523 12653667 12974013 13312053 13649067 18242443 18704277 19177803 19228521 19715319 20214441 25631787 26280693 26946027 27017289 27701271 37961001 38922039 38950081 39936159 40947201 54727329 56112831 57533409 57685563 59145957 76895361 78842079 81051867 83103813 111071077 113883003 116766117 116850243 119808477 122841603 164181987 168338493 173056689 177437871 230686083 236526237 237151759 243155601 249311439 333213231 341649009 350298351 350550729 359425431 492545961 505015479 506351053 519170067 532313613 674970391 692058249 709578711 711455277 729466803 747934317 999639693 1024947027 1051652187 1078276293 1441152997 1477637883 1515046437 1519053159 1557510201 1596940839 2024911173 2076174747 2128736133 2134365831 2188400409 2998919079 3074841081 3154956561 3234828879 4323458991 4432913649 4545139311 4557159477 4672530603 6074733519 6228524241 6403097493 6565201227 8774615083 8996757237 9224523243 9464869683 9704486637 12970376973 13298740947 13671478431 14017591809 18224200557 18685572723 18734988961 19209292479 19695603681 26323845249 26990271711 27673569729 28394609049 38911130919 39896222841 41014435293 42052775427 53322660889 54672601671 56056718169 56204966883 57627877437 59086811043 78971535747 80970815133 85183827147 116733392757 119688668523 123043305879 126158326281 159967982667 164017805013 168170154507 168614900649 172883632311 236914607241 242912445399 255551481441 350200178271 359066005569 369129917637 479903948001 492053415039 505844701947 518650896933 693194591557 710743821723 728737336197 766654444323 1050600534813 1107389752911 1439711844003 1476160245117 1517534105841 1555952690799 2079583774671 2132231465169 2186212008591 3151801604439 3322169258733 4319135532009 4428480735351 4552602317523 4667858072397 6238751324013 6396694395507 9455404813317 9966507776199 12957406596027 13285442206053 13657806952569 18716253972039 19190083186521 28366214439951 38872219788081 40973420857707 56148761916117 57570249559563 116616659364243 122920262573121 168446285748351 172710748678689 349849978092729 368760787719363 505338857245053 1049549934278187 1516016571735159 4548049715205477 13644149145616431
• Sum of all divisors σ(n): 22942364922262632
• Sum of proper divisors (its aliquot sum) s(n): 9298215776646201
• 13644149145616431 is a deficient number, because the sum of its proper divisors (9298215776646201) is less than itself. Its deficiency is 4345933368970230

Bases of 13644149145616431

• Binary: 110000011110010100100000000111000101100100000000101111₂
• Hexadecimal: 0x3079480716402F
• Base-36: 3QCG3L3T3XR

Squares and roots of 13644149145616431

• 13644149145616431 squared (13644149145616431²) is 186162805907825584028582977177761
• 13644149145616431 cubed (13644149145616431³) is 2540033089172815915741282916209825694369009390991
• The square root of 13644149145616431 is 116808172.4264891963
• The cube root of 13644149145616431 is 238954.6499016997

Scales and comparisons

• 13,644,149,145,616,431 seconds is equal to 433,841,738 years, 36 weeks, 5 days, 1 hour, 53 minutes, 51 seconds.
• To count from 1 to 13,644,149,145,616,431 would take you about one billion, three hundred one million, five hundred twenty-five thousand, two hundred sixteen 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 13644149145616431 cubic inches would be around 19912.9 feet tall.

Recreational maths with 13644149145616431

• 13644149145616431 backwards is 13461654194144631
• The number of decimal digits it has is: 17
• The sum of 13644149145616431's digits is 63
• More coming soon!