I am the void where records fail and the architect of yet to be. I have no weight, but am the heaviest burden a prisoner carries. The wealthy trade souls for a fraction of me, while the idle throw me away like dust. What am I

I'm completely odd, except at my start. I go on forever, although humanity has mapped me to forty-one million numbers in length. While no pattern exists to define me, a theorem exists to predict my distribution. This riddle reads hard, but truly I'm the only divisible answer.

I speak in pairs but never make a sound, Write a lifetime without pen or ground. Four symbols bind, yet none are seen, I copy myself to stay in-routine.

You walk into a room and see a bed. On the bed, there are two dogs, five cats, a giraffe, eight cows, and a goose. There are also three doves flying above the bed. How many legs are on the floor?

I speak without a mouth and write without a pen. I travel through walls but never take a step. I can be caught, but never held. I can be broken without being touched. What am I?