339845304992903942401

Names of 339845304992903942401

• Cardinal: 339845304992903942401 can be written as Three hundred thirty-nine quintillion, eight hundred forty-five quadrillion, three hundred four trillion, nine hundred ninety-two billion, nine hundred three million, nine hundred forty-two thousand, four hundred one.

Scientific notation

• Scientific notation: 3.39845304992903942401 × 10²⁰

Factors of 339845304992903942401

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 195855109

Divisors of 339845304992903942401

• Number of divisors d(n): 32
• Complete list of divisors:
  1 13 1741 5749 13337 22633 74737 173381 10009009 23219717 76674413 130117117 195834269 301856321 996767369 2545845497 133490153033 340947462329 1125851212481 1735371989429 2611841645653 4432317010277 14636065762253 33953941393489 1960106960929421 4547216305081873 15015477620859097 25481390492082473 59113811966064349 195201209071168261 26141946537915687877 339845304992903942401
• Sum of all divisors σ(n): 366288629717343060000
• Sum of proper divisors (its aliquot sum) s(n): 26443324724439117599
• 339845304992903942401 is a deficient number, because the sum of its proper divisors (26443324724439117599) is less than itself. Its deficiency is 313401980268464824802

Bases of 339845304992903942401

• Binary: 100100110110001001101000100000101000000111110010100110101000100000001₂
• Hexadecimal: 0x126C4D10503E535101
• Base-36: 1ZPZGYC6290001

Squares and roots of 339845304992903942401

• 339845304992903942401 squared (339845304992903942401²) is 115494831325719901281990908643448325644801
• 339845304992903942401 cubed (339845304992903942401³) is 39250376176993276220273993405522231051368461236549383289107201
• The square root of 339845304992903942401 is 18434893680.0000000011
• The cube root of 339845304992903942401 is 6978473.3581344229

Scales and comparisons

• 339,845,304,992,903,942,401 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 339,845,304,992,903,942,401 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 339845304992903942401 cubic inches would be around 581539.4 feet tall.

Recreational maths with 339845304992903942401

• 339845304992903942401 backwards is 104249309299403548933
• The number of decimal digits it has is: 21
• The sum of 339845304992903942401's digits is 91
• More coming soon!