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Spritsinz

Writing out a Googolplex

Spritsinz
Mar 27th, 2015
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  1. Legend for all mathematic notation:
  2. (e) : exponent . (example): 12(e)24 = 12 to the 24th power
  3. ------------------------------------------------------------------------------------
  4. ^ : alternate exponent notation . (example): 12^24 = 12 to the 24th power
  5. ------------------------------------------------------------------------------------
  6. * : multiply
  7. ------------------------------------------------------------------------------------
  8. / : divide
  9. ------------------------------------------------------------------------------------
  10.  
  11. Hello dear pastebin (or whoever you found this), so the backstory to this document is thus:
  12.  
  13. My brother asked me what the largest number was tonight (March 26th 2015), and I responded with "A Googolplex", so after some research and some headaches, we found out that a Googolplex is this big (according to Wikipedia):
  14.  
  15. "A typical book can be printed with 106 zeros (around 400 pages with 50 lines per page and 50 zeros per line). Therefore it requires 10(e)94 such books to print all zeros of googolplex." -Wikipedia
  16.  
  17. So, we sat and figured it out. A machine that prints 1 of said page for every given time sequence given below.
  18. The equation we used to figure this out is:
  19. 400 (given number of pages for the book) * numberofseconds / 60 (for time in hours) / 24 (for hours to days) * 10(e)94 (number of books needed to satisfy equation) = years-spent-printing-this-crap.
  20.  
  21. Yeah, my brother and I spent about 1&1/2-2 hours figuring this out.... It is mind boggling, it really is. Anyway, enjoy giving yourself a headache.
  22.  
  23. :)
  24. Cheers,
  25. Spritsinz.
  26.  
  27.  
  28.  
  29. (All googol number calculations in year time.)
  30.  
  31. (With 1 Machine at 1-Page/second (1 whole integer second) )=
  32. 2.950,000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  33.  
  34. (With 1 Machine at 1-Page/micro second (1 millionth of a second) )=
  35. 2.700, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,0
  36.  
  37. (With 1,000 (1-Thousand) Machines at 1-page/second (1 whole integer second) )=
  38. 2.700, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  39.  
  40. (With 1,000 (1-Thousand) Machines at 1-page/picosecond (1-Billionth of a second) )=
  41. 1.600, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  42.  
  43. (With 1,000,000 (1-Million) Machines)=
  44. 4.600, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  45.  
  46.  
  47. (With 1,000,000,000 (1-Billion) Machines)=
  48. 2.700, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  49.  
  50. (With 1,000,000,000,000 (1-Trillion) Machines)=
  51. 2.700, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  52.  
  53.  
  54.  
  55. Calculations for a Googol (I.E 10e94):
  56.  
  57. 10, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  58. *
  59. 10, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  60. *
  61. 10, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  62. *
  63. 10, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  64. *
  65. 10, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  66. *
  67. 10, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  68. *
  69. 10, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  70. *
  71. 10, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  72. *
  73. 10, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  74. *
  75. 10, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  76. *
  77. 10, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  78. *
  79. 10, 000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
  80.  
  81. = googol(e)100 = Googolplex
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