993442397980214133

Names of 993442397980214133

• Cardinal: 993442397980214133 can be written as Nine hundred ninety-three quadrillion, four hundred forty-two trillion, three hundred ninety-seven billion, nine hundred eighty million, two hundred fourteen thousand, one hundred thirty-three.

Scientific notation

• Scientific notation: 9.93442397980214133 × 10¹⁷

Factors of 993442397980214133

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 373

Divisors of 993442397980214133

• Number of divisors d(n): 360
• Complete list of divisors:
  1 3 7 9 21 27 63 81 97 127 139 189 243 291 381 417 567 679 873 889 973 1143 1251 1701 2037 2619 2667 2919 3429 3753 6111 7857 8001 8757 10287 11259 12319 13483 16129 17653 18333 19321 23571 24003 26271 30861 33777 36957 40449 48387 52959 54999 57963 72009 78813 86233 94381 110871 112903 121347 123571 135247 145161 158877 164997 173889 216027 236439 258699 283143 332613 338709 364041 370713 405741 435483 476631 521667 776097 849429 997839 1016127 1092123 1112139 1217223 1306449 1429893 1564513 1565001 1712341 1874137 2241931 2328291 2453767 2548287 2685619 2993517 3048381 3276369 3336417 3651669 3919347 4289679 4693539 4695003 5137023 5622411 6725793 6984873 7361301 7644861 8056857 9145143 10009251 10951591 10955007 11986387 13118959 14080617 15411069 15693517 16867233 17176369 18799333 20177379 20954619 22083903 22934583 24170571 27435429 30027753 32854773 32865021 35959161 39356877 42241851 46233207 47080551 50601699 51529107 56397999 60532137 66251709 72511713 98564319 107877483 118070631 126725553 138699621 141241653 151805097 154587321 169193997 181596411 198755127 217467307 217535139 238015399 260505043 295692957 311628409 323632449 341073613 354211893 373301041 380176659 416098863 423724959 455415291 463761963 507581991 544789233 596265381 652401921 652605417 714046197 781515129 887078871 934885227 970897347 1023220839 1062635679 1119903123 1271174877 1391285889 1522271149 1522745973 1666107793 1823535301 1957205763 2142138591 2181398863 2344545387 2387515291 2613107287 2661236613 2804655681 2912692041 3069662517 3187907037 3359709369 3813524631 4173857667 4566813447 4568237919 4998323379 5470605903 5871617289 6426415773 6544196589 7033636161 7162545873 7839321861 8413967043 9208987551 10079128107 13700440341 14994970137 16411817709 17614851867 19279247319 19632589767 21100908483 21487637619 23517965583 25241901129 27626962653 30227955673 30237384321 33084140461 36210200977 41101321023 43316348851 44984910411 47409232207 49235453127 52844555601 57837741957 58897769301 63302725449 64462912857 70553896749 75725703387 82880887959 90683867019 90712152963 99252421383 108630602931 123303963069 129949046553 134954731233 142227696621 147706359381 176693307903 193388738571 211595689711 211661690247 231588983227 253471406839 272051601057 297757264149 303214441957 325891808793 331864625449 369911889207 389847139659 404864193699 426683089863 443119078143 530079923709 580166215713 634787069133 634985070741 694766949681 760414220517 816154803171 893271792447 909643325871 977675426379 995593876347 1169541418977 1280049269589 1904361207399 2084300849043 2281242661551 2448464409513 2679815377341 2728929977613 2933026279137 2986781629041 3508624256931 3840147808767 4201685838547 4598695524079 5713083622197 6020972490289 6252902547129 6843727984653 7345393228539 8039446132023 8186789932839 8799078837411 8960344887123 10525872770793 11520443426301 12605057515641 13796086572237 17139250866591 18062917470867 18758707641387 20531183953959 24560369798517 26881034661369 29411800869829 32190868668553 37815172546923 41388259716711 42146807432023 51417752599773 54188752412601 56276122924161 61593551861877 73681109395551 80643103984107 88235402609487 96572606005659 113445517640769 124164779150133 126440422296069 162566257237803 264706207828461 289717818016977 340336552922307 372494337450399 379321266888207 487698771713409 584034331558033 794118623485383 869153454050931 1021009658766921 1117483012351197 1137963800664621 1463096315140227 1752102994674099 2382355870456149 2607460362152793 3413891401993863 4088240320906231 5256308984022297 7147067611368447 7822381086458379 10241674205981589 12264720962718693 15768926952066891 36794162888156079 47306780856200673 110382488664468237 141920342568602019 331147465993404711 993442397980214133
• Sum of all divisors σ(n): 1744426867140065472
• Sum of proper divisors (its aliquot sum) s(n): 750984469159851339
• 993442397980214133 is a deficient number, because the sum of its proper divisors (750984469159851339) is less than itself. Its deficiency is 242457928820362794

Bases of 993442397980214133

• Binary: 110111001001011010101001100011110100011011000100001101110101₂
• Hexadecimal: 0xDC96A98F46C4375
• Base-36: 7JPTXT7UTAB9

Squares and roots of 993442397980214133

• 993442397980214133 squared (993442397980214133²) is 986927798104678165682413348532941689
• 993442397980214133 cubed (993442397980214133³) is 980455918382444109781876009129779178761232792622690637
• The square root of 993442397980214133 is 996715806.0250745983
• The cube root of 993442397980214133 is 997809.3371607289

Scales and comparisons

• 993,442,397,980,214,133 seconds is equal to 31,588,395,336 years, 34 weeks, 6 days, 18 hours, 35 minutes, 33 seconds.
• To count from 1 to 993,442,397,980,214,133 would take you about ninety-four billion, seven hundred sixty-five million, one hundred eighty-six thousand and ten 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 993442397980214133 cubic inches would be around 83150.8 feet tall.

Recreational maths with 993442397980214133

• 993442397980214133 backwards is 331412089793244399
• 993442397980214133 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 993442397980214133's digits is 81
• More coming soon!