34144056809801664

Names of 34144056809801664

• Cardinal: 34144056809801664 can be written as Thirty-four quadrillion, one hundred forty-four trillion, fifty-six billion, eight hundred nine million, eight hundred one thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 3.4144056809801664 × 10¹⁶

Factors of 34144056809801664

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1668571328

Divisors of 34144056809801664

• Number of divisors d(n): 112
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 9689 19378 29067 38756 58134 77512 106579 116268 155024 213158 232536 310048 319737 426316 465072 620096 639474 852632 930144 1278948 1705264 1860288 2557896 3410528 5115792 6821056 10231584 20463168 1668561623 3337123246 5005684869 6674246492 10011369738 13348492984 18354177853 20022739476 26696985968 36708355706 40045478952 53393971936 55062533559 73416711412 80090957904 106787943872 110125067118 146833422824 160181915808 220250134236 293666845648 320363831616 440500268472 587333691296 881000536944 1174667382592 1762001073888 3524002147776 16166693565247 32333387130494 48500080695741 64666774260988 97000161391482 129333548521976 177833629217717 194000322782964 258667097043952 355667258435434 388000645565928 517334194087904 533500887653151 711334516870868 776001291131856 1034668388175808 1067001775306302 1422669033741736 1552002582263712 2134003550612604 2845338067483472 3104005164527424 4268007101225208 5690676134966944 8536014202450416 11381352269933888 17072028404900832 34144056809801664
• Sum of all divisors σ(n): 98562335584469760
• Sum of proper divisors (its aliquot sum) s(n): 64418278774668096
• 34144056809801664 is an abundant number, because the sum of its proper divisors (64418278774668096) is greater than itself. Its abundance is 30274221964866432

Bases of 34144056809801664

• Binary: 1111001010011011101011010111001010101101100011111000000₂
• Hexadecimal: 0x794DD6B956C7C0
• Base-36: 9C7235N4T6O

Squares and roots of 34144056809801664

• 34144056809801664 squared (34144056809801664²) is 1165816615430963384797103017168896
• 34144056809801664 cubed (34144056809801664³) is 39805708747085513039304060187750072164968549842944
• The square root of 34144056809801664 is 184781105.1211721269
• The cube root of 34144056809801664 is 324418.0728477625

Scales and comparisons

• 34,144,056,809,801,664 seconds is equal to 1,085,675,392 years, 2 weeks, 4 days, 54 minutes, 24 seconds.
• To count from 1 to 34,144,056,809,801,664 would take you about three billion, two hundred fifty-seven million, twenty-six thousand, one hundred seventy-six 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 34144056809801664 cubic inches would be around 27034.8 feet tall.

Recreational maths with 34144056809801664

• 34144056809801664 backwards is 46610890865044143
• The number of decimal digits it has is: 17
• The sum of 34144056809801664's digits is 69
• More coming soon!