34148165066704125

Names of 34148165066704125

• Cardinal: 34148165066704125 can be written as Thirty-four quadrillion, one hundred forty-eight trillion, one hundred sixty-five billion, sixty-six million, seven hundred four thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 3.4148165066704125 × 10¹⁶

Factors of 34148165066704125

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 9727

Divisors of 34148165066704125

• Number of divisors d(n): 240
• Complete list of divisors:
  1 3 5 9 15 25 27 29 45 75 81 87 125 135 145 225 261 375 405 435 675 725 783 1125 1305 2025 2175 2349 3375 3625 3915 4733 4957 6525 10125 10875 11745 14199 14871 19575 23665 24785 32625 42597 44613 58725 70995 74355 97875 118325 123925 127791 133839 137257 143753 212985 223065 293625 354975 371775 383373 401517 411771 431259 591625 619625 638955 669195 686285 718765 1064925 1115325 1235313 1293777 1774875 1858875 1916865 2007585 2058855 2156295 3194775 3345975 3431425 3593825 3705939 3881331 5324625 5576625 6176565 6468885 9584325 10037925 10294275 10781475 11117817 11643993 15973875 16729875 17157125 17969125 18529695 19406655 23461481 24571849 30882825 32344425 47921625 50189625 51471375 53907375 55589085 58219965 70384443 73715547 92648475 97033275 117307405 122859245 154414125 161722125 211153329 221146641 277945425 291099825 351922215 368577735 463242375 485166375 586537025 614296225 633459987 663439923 680382949 712583621 1055766645 1105733205 1389727125 1455499125 1759611075 1842888675 1900379961 1990319769 2041148847 2137750863 2932685125 3071481125 3167299935 3317199615 3401914745 3562918105 5278833225 5528666025 6123446541 6413252589 8798055375 9214443375 9501899805 9951598845 10205744235 10688754315 15836499675 16585998075 17009573725 17814590525 18370339623 19239757767 26394166125 27643330125 30617232705 32066262945 47509499025 49757994225 51028721175 53443771575 55111018869 57719273301 79182498375 82929990375 85047868625 89072952625 91851698115 96198788835 116298561317 153086163525 160331314725 237547495125 248789971125 255143605875 267218857875 275555094345 288596366505 348895683951 459258490575 480993944175 581492806585 765430817625 801656573625 1046687051853 1377775471725 1442981832525 1744478419755 2296292452875 2404969720875 2907464032925 3140061155559 3372658278193 5233435259265 6888877358625 7214909162625 8722392098775 9420183466677 10117974834579 14537320164625 15700305777795 16863291390965 26167176296325 30353924503737 43611960493875 47100917333385 50589874172895 78501528888975 84316456954825 91061773511211 130835881481625 151769622518685 235504586666925 252949370864475 273185320533633 392507644444875 421582284774125 455308867556055 758848112593425 1177522933334625 1264746854322375 1365926602668165 2276544337780275 3794240562967125 6829633013340825 11382721688901375 34148165066704125
• Sum of all divisors σ(n): 65884755104522640
• Sum of proper divisors (its aliquot sum) s(n): 31736590037818515
• 34148165066704125 is a deficient number, because the sum of its proper divisors (31736590037818515) is less than itself. Its deficiency is 2411575028885610

Bases of 34148165066704125

• Binary: 1111001010100011001001101000000100010000100010011111101₂
• Hexadecimal: 0x795193408844FD
• Base-36: 9C8IIGP7YT9

Squares and roots of 34148165066704125

• 34148165066704125 squared (34148165066704125²) is 1166097177422871937810690292015625
• 34148165066704125 cubed (34148165066704125³) is 39820078898453997591191618454364256653021751953125
• The square root of 34148165066704125 is 184792221.3371118201
• The cube root of 34148165066704125 is 324431.0837927675

Scales and comparisons

• 34,148,165,066,704,125 seconds is equal to 1,085,806,021 years, 47 weeks, 2 days, 17 hours, 48 minutes, 45 seconds.
• To count from 1 to 34,148,165,066,704,125 would take you about three billion, two hundred fifty-seven million, four hundred eighteen thousand and sixty-five 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 34148165066704125 cubic inches would be around 27035.9 feet tall.

Recreational maths with 34148165066704125

• 34148165066704125 backwards is 52140766056184143
• The number of decimal digits it has is: 17
• The sum of 34148165066704125's digits is 63
• More coming soon!