Go get the system documentation. You should probably bookmark that location for future reference.
"I have a number of x4140 systems with (2) physical Opteron 6-core CPUs, dual heat sinks, 32 GB RAM in memory banks for CPU 0, etc..." [emphasis added]
... which suggests that you have no RAM populated for the second processor. Many server companies design their systems to require a processor to have RAM be associated specifically to it.
Read the documentation and then move RAM around until you have memory banks properly populated for each CPU module that might be in the chassis.
After you have done that, you can power the system back on and check your new system configuration.