345679993838906217200

Names of 345679993838906217200

• Cardinal: 345679993838906217200 can be written as Three hundred forty-five quintillion, six hundred seventy-nine quadrillion, nine hundred ninety-three trillion, eight hundred thirty-eight billion, nine hundred six million, two hundred seventeen thousand, two hundred.

Scientific notation

• Scientific notation: 3.456799938389062172 × 10²⁰

Factors of 345679993838906217200

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 83992611983983

Divisors of 345679993838906217200

• Number of divisors d(n): 60
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 10289 20578 41156 51445 82312 102890 164624 205780 257225 411560 514450 823120 1028900 2057800 4115600 83992611973687 167985223947374 335970447894748 419963059868435 671940895789496 839926119736870 1343881791578992 1679852239473740 2099815299342175 3359704478947480 4199630598684350 6719408957894960 8399261197368700 16798522394737400 33597044789474800 864199984597265543 1728399969194531086 3456799938389062172 4320999922986327715 6913599876778124344 8641999845972655430 13827199753556248688 17283999691945310860 21604999614931638575 34567999383890621720 43209999229863277150 69135998767781243440 86419998459726554300 172839996919453108600 345679993838906217200
• Sum of all divisors σ(n): 830576902098088788720
• Sum of proper divisors (its aliquot sum) s(n): 484896908259182571520
• 345679993838906217200 is an abundant number, because the sum of its proper divisors (484896908259182571520) is greater than itself. Its abundance is 139216914420276354320

Bases of 345679993838906217200

• Binary: 100101011110101000110000010101110011111000111001110011001001011110000₂
• Hexadecimal: 0x12BD460AE7C73992F0
• Base-36: 20YBBMWYB1133K

Squares and roots of 345679993838906217200

• 345679993838906217200 squared (345679993838906217200²) is 119494658140466240282468600456813575840000
• 345679993838906217200 cubed (345679993838906217200³) is 41306912689778574593805783708303106785679837993539712448000000
• The square root of 345679993838906217200 is 18592471429.0194948575
• The cube root of 345679993838906217200 is 7018183.9730060581

Scales and comparisons

• 345,679,993,838,906,217,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 345,679,993,838,906,217,200 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 345679993838906217200 cubic inches would be around 584848.7 feet tall.

Recreational maths with 345679993838906217200

• 345679993838906217200 backwards is 002712609838399976543
• The number of decimal digits it has is: 21
• The sum of 345679993838906217200's digits is 101
• More coming soon!