The primary insurer has a $30\%$ quota share treaty with a reinsurer as shown below:

The risk premium is decided as $0\mathrm{.}004$ of the risk amount $($sum insured$)$

The sum insured by the primary insurer is $500,000.$ According to the treaty, the primary insurer retain $70\%$ of the sum insured and the reinsurer accept the $30\%$ of the sum insured.

At the end of the insurance period, the amount of losses is reported as $400,000.$

How much does the reinsurer pay for the loss, which is the value of Z in the table?

$($use an integer number for your answer, without $ sign, such as $123456)$

$*$This question has a weight of two correctness points.