HP mini 1000 with a blank screen
Mini PCs, aka Netbooks often use solid state memory, which breaks down after a time, and can become unusable, especially if you're not shutting down properly. It tends to last just fine, if you power up and down normally, but after, say, over a year of use, flashdrives and other solid state memory cores will corrupt or lose data. You may have to have the information on the disk recovered.
I checked and your Netbook comes with either an 8, 16, or 32 GB solid-state drive, or a hard-disc drive ranging from 60 to 160 GB. Hard discs can also be temperamental if they get banged around a lot. It's a hard decision, because solid state can handle abuse, but degrades, while the magnetic discs degrade slower, but can't handle too many bumps. Your best bet is to contact the manufacturer, and see if they can find the problem. It may simply be a problem with windows. Your machine may run Windows XP or Mi, the latter of which is based on Linux.
DON'T take the battery out. Only take the battery out, if you're using the machine while plugged in, unless the battery needs charging. Leaving the battery in all the time can shorten the life of the battery. The machine needs to always have a power supply, especially for the solid state memory to not degrade.
My honest solution is to give it some time to start up: however long it needs, but if it takes more than an hour, it's not really an easily fixable solution, and will require manufacturer action, or replacement.