349408912167733416993

Names of 349408912167733416993

• Cardinal: 349408912167733416993 can be written as Three hundred forty-nine quintillion, four hundred eight quadrillion, nine hundred twelve trillion, one hundred sixty-seven billion, seven hundred thirty-three million, four hundred sixteen thousand, nine hundred ninety-three.

Scientific notation

• Scientific notation: 3.49408912167733416993 × 10²⁰

Factors of 349408912167733416993

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 956

Divisors of 349408912167733416993

• Number of divisors d(n): 144
• Complete list of divisors:
  1 3 9 79 237 353 521 711 1059 1563 3177 4689 6241 18723 27887 41159 56169 83661 123477 124609 183913 250983 271441 370431 373827 551739 814323 1121481 1655217 2203073 2442969 3251561 6609219 9754683 9844111 14529127 19827657 21443839 29264049 29532333 43587381 43986977 64331517 64921289 88596999 95818673 130762143 131960931 141420761 192994551 194763867 287456019 395882793 424262283 584291601 777684769 862368057 1147801033 1272786849 1694063281 2333054307 3443403099 3474971183 5082189843 5128781831 6999162921 7569675167 10330209297 10424913549 11172240119 15246569529 15386345493 22709025501 22917215017 31274740647 33516720357 33823991569 46159036479 49921528633 68127076503 68751645051 100550161071 101471974707 149764585899 206254935153 274522723457 304415924121 405173764649 449293757697 598004338193 823568170371 882606969401 1215521293947 1794013014579 1810459986343 2470704511113 2647820908203 2672095333951 3646563881841 3943800762007 5382039043737 5431379959029 7943462724609 8016286001853 11831402286021 11939869023857 16294139877087 17622299607449 24048858005559 35494206858063 35819607071571 52866898822347 107458821214713 143026338921097 158600696467041 211095531382129 311560260198553 429079016763291 633286594146387 934680780595659 943249652884703 1287237050289873 1392161668988471 1899859782439161 2804042341786977 2829748958654109 4176485006965413 6220671761429497 8489246875962327 12529455020896239 18662015284288491 55986045852865473 74516722577891537 109980771850089209 223550167733674611 329942315550267627 491433069152930263 670650503201023833 989826946650802881 1474299207458790789 4422897622376372367 38823212463081490777 116469637389244472331 349408912167733416993
• Sum of all divisors σ(n): 513609266023551668880
• Sum of proper divisors (its aliquot sum) s(n): 164200353855818251887
• 349408912167733416993 is a deficient number, because the sum of its proper divisors (164200353855818251887) is less than itself. Its deficiency is 185208558311915165106

Bases of 349408912167733416993

• Binary: 100101111000100000101110100100101111001101001011010011101010000100001₂
• Hexadecimal: 0x12F105D25E6969D421
• Base-36: 21QN8255RELAU9

Squares and roots of 349408912167733416993

• 349408912167733416993 squared (349408912167733416993²) is 122086587902238845503267382408147621162049
• 349408912167733416993 cubed (349408912167733416993³) is 42658141869191637929291525923401251043061134241762956143298657
• The square root of 349408912167733416993 is 18692482771.6313120317
• The cube root of 349408912167733416993 is 7043329.2847275715

Scales and comparisons

• 349,408,912,167,733,416,993 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 349,408,912,167,733,416,993 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 349408912167733416993 cubic inches would be around 586944.1 feet tall.

Recreational maths with 349408912167733416993

• 349408912167733416993 backwards is 399614337761219804943
• The number of decimal digits it has is: 21
• The sum of 349408912167733416993's digits is 99
• More coming soon!