I couldn't find the one for that model, but this one helped me solve the problem....

Hello, I appreciate any help you can give me with this .bin file for this HP ProBook 440 G2 model. It shuts down after 30 minutes. I installed a bin file that doesn't shut down, but a BIOS error appears due to the serial numbers, etc. I'm leaving a copy of the original and the data, including the one that works but shows a serial error.

EQUIPO:
Modelo: HP ProBook 440 G2
Placa: LA-B181P Rev 1.0
Serial Number : CND43352DG
SKU Number : J2M22LT#ABM
Asset Tag : (vacío)
UUID : FF2E8A99-FD33-E411-A300-2286570180FF...