A. The rate of Keys per second on both are way low, and B, you don't have to test every combination, Certain combinations will tell you that whole chunks of possibilities are not possible.
In truth most of the time you can narrow the potentials to 1% of the total possible to determine a range for the right answer pretty quickly.
Granted if it was as slow as 77 Billion years .7 billion years is still a long time. But no, these numbers are orders of orders of magnitude wrong.
To brute-force AES-128, if you assume:
- Every person on the planet owns 10 computers.
- There are 7 billion people on the planet.
- Each of these computers can test 1 billion key combinations per second.
- On average, you can crack the key after testing 50% of the possibilities.
Then the earth's population can crack one key in 77,000,000,000,000,000,000,000,000 years.
Source: Seagate, http://dator8.info/pdf/AES/3.pdf