34456906727114960

Names of 34456906727114960

• Cardinal: 34456906727114960 can be written as Thirty-four quadrillion, four hundred fifty-six trillion, nine hundred six billion, seven hundred twenty-seven million, one hundred fourteen thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 3.445690672711496 × 10¹⁶

Factors of 34456906727114960

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 2303269166286

Divisors of 34456906727114960

• Number of divisors d(n): 80
• Complete list of divisors:
  1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 2303269166251 4606538332502 9213076665004 11516345831255 18426153330008 23032691662510 25335960828761 36852306660016 39155575826267 46065383325020 50671921657522 78311151652534 92130766650040 101343843315044 126679804143805 156622303305068 184261533300080 195777879131335 202687686630088 253359608287610 313244606610136 391555758262670 405375373260176 430711334088937 506719216575220 626489213220272 783111516525340 861422668177874 1013438433150440 1566223033050680 1722845336355748 2026876866300880 2153556670444685 3132446066101360 3445690672711496 4307113340889370 6891381345422992 8614226681778740 17228453363557480 34456906727114960
• Sum of all divisors σ(n): 92536142023340352
• Sum of proper divisors (its aliquot sum) s(n): 58079235296225392
• 34456906727114960 is an abundant number, because the sum of its proper divisors (58079235296225392) is greater than itself. Its abundance is 23622328569110432

Bases of 34456906727114960

• Binary: 1111010011010100101111111000101100001110100100011010000₂
• Hexadecimal: 0x7A6A5FC58748D0
• Base-36: 9F9YCFACTZK

Squares and roots of 34456906727114960

• 34456906727114960 squared (34456906727114960²) is 1187278421201100184523685055801600
• 34456906727114960 cubed (34456906727114960³) is 40909941818442617895216383367292364251378151936000
• The square root of 34456906727114960 is 185625716.7719897587
• The cube root of 34456906727114960 is 325405.9046016777

Scales and comparisons

• 34,456,906,727,114,960 seconds is equal to 1,095,623,051 years, 37 weeks, 2 hours, 9 minutes, 20 seconds.
• To count from 1 to 34,456,906,727,114,960 would take you about three billion, two hundred eighty-six million, eight hundred sixty-nine thousand, one hundred fifty-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 34456906727114960 cubic inches would be around 27117.2 feet tall.

Recreational maths with 34456906727114960

• 34456906727114960 backwards is 06941172760965443
• The number of decimal digits it has is: 17
• The sum of 34456906727114960's digits is 74
• More coming soon!