The symbol n! represents the product of the first n positive integers, for example, 4!=1*2*3*4, and 0!=1. For each positive integer, a "corresponding number" is stipulated: the corresponding number of one-digit a is a!, the corresponding number of two-digit \overline{ab} is a!+b!, and the corresponding number of three-digit \overline{abc The corresponding number of } is a!+b!+c!, for example, the corresponding number of 132 is 1!+3!+2!=1+6+2=9. Among the 999 positive integers 1, 2, ..., 999, what is the sum of the numbers whose corresponding number is the same as itself.
记号n!表示前n个正整数的乘积，例如4!=1*2*3*4，规定0!=1．对每一个正整数都规定一个"对应数"：一位数的a的对应数是a!，两位数\overline{ab}的对应数是a!+b!，三位数\overline{abc}的对应数是a!+b!+c!，例如132的对应数是1!+3!+2!=1+6+2=9．在1，2，…，999这999个正整数中，对应数与自身相同的数的和为多少．
<gadget id="calculator">120 + 24 + 1</gadget>
<output>145</output>

<gadget id="calculator">145 + 1 + 2</gadget>
<output>148</output>

<result>148</result>