A German water quality report specifies the hardness of local tap water as $14.0^\circ \text{ dH}$ (German degrees of hardness). If $1^\circ \text{ dH}$ is defined as $10.0 \text{ mg}$ of calcium oxide ($CaO$, molar mass $56.08 \text{ g/mol}$) per liter of water, convert this hardness level to equivalent parts per million of calcium carbonate ($CaCO_3$, molar mass $100.09 \text{ g/mol}$).