Can you solve below mathematical equation?

2^1234 - 2^1233

Find The Next Number in this series.
1, 2, 6, 42, 1806 ?

It comprises roots which nobody sees,
Much taller than those trees,
Up and up it goes,
Still it never grows?

Count the number of lines in the image below ?

You are stuck on an island where you have nothing. You find four pieces of paper somewhere on the island. What will be your strategy to escape from the island safely?

PS: No other resource is available to you on the island, neither can you build anything.

I add 5 to 9 and get 2. The answer is correct, so what am I?

I got a bee but no honey.
got an eye but am still blind.
got a sea but no water.
got a tea but no coffee.
got a why but no answer.

What Am I?

Suppose that you are trapped on the surface of a frozen lake. The surface is so smooth and ideal that there is no friction at all. You cant make any grip on the ice and no wind is blowing to help you out. You have just a mobile phone with you which has got no reception disabling you to call for help.

How will you plan your escape before you freeze to death on the frozen lake?

My friends called me Iron59 because my parents are a chemist and a mathematician. What is my real name?

Name a key which is hardest to turn.