Converting InputStream.read() to numbers (not integers)

I've been struggling to get a part of my program working. After about a week of trial and error I don't think I'm able to do this without any help.

Here's the case: I've written an application which, using Sockets, reads data from a device over TCP. All the data sent by the device is represented as bytes, not as strings. Whenever I google on InputStream, all I get is "How to convert InputStream to String".

Currently I'm able to read the data from the InputStream into an ArrayList<Integer>. However, these are Integers, and not decimals.

Here's an example of a (UNIX) TimeStamp sent by the device, read in integers:

0 0 1 80 59 165 176 64 (edited, copied 1 byte too many)

I've tried a lot here, and have not yet succeeded in converting these to a correct UNIX timestamp. It should be translated to 1444109725 (which is 10/06/2015 @ 5:35am (UTC)).

Anyone who could help me out? Thanks in advance!

-- Edit --

Thanks to all the answers below I've been able to create a working 'parser' for the incoming data. All I had to do was convert the bytes/integers to Long values. As my incoming data consists of multiple values with different lengths it's not possible to read it all as Long, so I had to iterate over te data, grab for example the 8 bytes/integers for the timestamp and use this method to create a readable unix timestamp:

public long bytesToLong(int[] bytes) { 
long v = 0 ; 
for (int i : bytes) { 
v = (v << 8) | i; 
} return v; 
}