Think of how a few thousand years of human civilization got us to a certain amount of computational power.
The availability and propagation of cheap sensors, cheap storage, and cheap computational cycles will allow humanity to develop a collective memory of the activities and outcomes of everyone on the planet.
No human could ever do this, for in these purely computational matters, machines are vastly superior to us, and always will be.
Distributed computing makes enormous computational problems affordable to solve.
For revenge, Archimedes devised a fiendish computational problem that involved truly immense numbers.
In some twentieth-century science fiction visions of the future, humans created friendly robot sidekicks with data storage capacity and computational speed the human brain lacked.