Final answer:
The number that goes on forever without repeating and remains the same is pi (π). Pi is the ratio of a circle's circumference to its diameter. A googolplex is a very large, finite number, and not the same as pi.
Step-by-step explanation:
The number you are referring to is likely pi (π). Pi is an irrational number that represents the ratio of the circumference of a circle to its diameter. It is a non-repeating, non-terminating decimal that goes on forever, but it remains the same number, approximately 3.14159. A googolplex, on the other hand, is a very large number, 10 to the power of a googol (which is 10 to the power of 100), but it is finite and does not go on forever like pi does.