Java formatted interval processing

Main.java

import java.util.concurrent.TimeUnit;
import java.util.regex.Matcher;
import java.util.regex.Pattern;

public class Main
{
    private static long parseInterval(final String s)
    {
        final Pattern p = Pattern.compile("^(\\d{2}):(\\d{2}):(\\d{2})\\.(\\d{3})$");
        final Matcher m = p.matcher(s);
        if (m.matches())
        {
            final long hr = Long.parseLong(m.group(1)) * TimeUnit.HOURS.toMillis(1);
            final long min = Long.parseLong(m.group(2)) * TimeUnit.MINUTES.toMillis(1);
            final long sec = Long.parseLong(m.group(3)) * TimeUnit.SECONDS.toMillis(1);
            final long ms = Long.parseLong(m.group(4));
            return hr + min + sec + ms;
        }
        else
        {
            throw new IllegalArgumentException(s + " is not a supported interval format!");
        }
    }

    private static String formatInterval(final long l)
    {
        final long hr = TimeUnit.MILLISECONDS.toHours(l);
        final long min = TimeUnit.MILLISECONDS.toMinutes(l - TimeUnit.HOURS.toMillis(hr));
        final long sec = TimeUnit.MILLISECONDS.toSeconds(l - TimeUnit.HOURS.toMillis(hr) - TimeUnit.MINUTES.toMillis(min));
        final long ms = TimeUnit.MILLISECONDS.toMillis(l - TimeUnit.HOURS.toMillis(hr) - TimeUnit.MINUTES.toMillis(min) - TimeUnit.SECONDS.toMillis(sec));
        return String.format("%02d:%02d:%02d.%03d", hr, min, sec, ms);
    }

    public static void main(final String[] args)
    {
        final String s1 = "36:00:00.000";
        final String s2 = "23:00:00.000";

        final long i1 = parseInterval(s1);
        final long i2 = parseInterval(s2);

        System.out.println(formatInterval(i1 - i2));
    }
}