14. A census taker stands in front of Aunt Wang's house and asks Aunt Wang: “Your age is 40, what are the ages of the three orphans you adopted?” Aunt Wang says: “The product of their ages equals my age, and the sum of their ages equals our house number.” The census taker looks at the house number and says: “I still can't determine their ages.” What is Aunt Wang's house number? $\qquad$
【Solution】Solution: From the divisors of 40, we can see that the ages of the three children and their sum are:
$$
\begin{array}{c}
40=1 \times 1 \times 40, \quad 1+1+40=42 \\
40=1 \times 2 \times 20, \quad 1+2+20=23 \\
40=1 \times 4 \times 10, \quad 1+4+10=15 \\
40=1 \times 5 \times 8, \quad 1+5+8=14 \\
40=2 \times 2 \times 10, \quad 2+2+10=14 \\
40=2 \times 4 \times 5, \quad 2+4+5=11
\end{array}
$$

From the sums of these factors, we can see that there are two cases where the sum is 14.
The census taker knows the house number of Aunt Wang, but still cannot determine the ages of the children, which means there are two possible sets of ages for the children, and both sums equal the house number.

Therefore, the answer to this problem is 14.
Answer: Aunt Wang's house number is 14.
So the answer is: 14.