To inject a source, there's 395,700 kg total propellant on the first stage, and a burn time of 162 seconds. That gives about 2,442.6 kg/second, and assuming it's fuel balanced it comes out to something like 700 liters of RP-1 per second. Could OP have been using thousands of gallons instead, by accident?

It's still a lot, though, while a space elevator is just a really tall elevator, or alternatively an EV that goes up and down.