Hello I want to control 1 16 segment led with the arduino mega. I do not know how. Please help me.
Spec?
Do you mean like a starburst character display?
I do not know where is the datasheet as this is a part of a salvaged clock. Here is what it says on the side.
OK, it is indeed a starburst display.
What you now need to know, is whether it is a common cathode or common anode display. You should be able to probe out the connections and figure out which sort using the "diode check" function on a multimeter. You may get good hints by Googling "starburst display".
I count 16 segments plus a decimal.
It has a common anode
OK, start with 16 I/O pins set to output, each with a 330 ohm resistor.
OK Thanks!
Or use 2 74HC595.
12458:
It has a common anode
So tell me, how did you figure it all out - Google or the meter?
Using the meter
Can I control it with this?
A6276SLW-T
Probably. That driver will sink current, and you need to make sure you have the right amount of power flowing through your LED.
Does anyone know a IC that can control 16 segments and is through hole package(DIP)?
12458:
Does anyone know a IC that can control 16 segments and is through hole package(DIP)?
28 pin ATMega 328P 
2 74HC595
Where are you located?