I'd think in terms of bullet weight and velocity for however do you define bigger. A 180-200 gr bullet launched from a 30-06 is likely a bigger hammer than those listed. Or a 338-06/35 wh would be equally as good with tolerable recoil in a totable rifle. I'm a fan of 06 based cartridges as bigger hammers. They give more bullet weight and decent velocity making them good for distances growly things operate in.
