Radiation softened quine It's simple: Make a proper quine where if you remove any character, it's still a quine.

The difference between this and a radiation hardened quine is that if your program is AB, in a radiation hardened quine A would output AB, but here, A would output A.

Code golf, all standard rules, standard loopholes apply, no cheating.
Lenguage, 4.54×10761 bytes
It has this number of null characters:

453997365974271498471447945720930600149036031871190716908688344432973027776681259141680552038829875159204621651993092104775733418288411812715164994750890484868305218411129600012389568016974351721147925344946382782884546247102886167837964612372737300786173159265347137401863281368021545169383664534228503236761742285358985343373496184959796553930661837467682191561275123057706776367104142995491262443697167483190110516522677811931124842961701222425076750211774387637740969301686178545299089832300154448308384461700726890067468872402133010536518468336342175124002115991866466700174974019423711837589532744970385003356612639263433822126850314801275940879069069974437167102618471264140597777702065896715558989678487253830854848740247786166790545462769498303055791292

Seeing how the criterion in this challenge conflicts with the definition of a &quot;proper quine&quot;, seriously, I think an Unary variant is going to win.
Expanded Brainfuck code:
&gt;&gt;+++&gt;++++++++&gt;+++&gt;+++&gt;+&gt;+&gt;+&gt;+&gt;+&gt;+&gt;+&gt;+++&gt;+&gt;+&gt;+&gt;+&gt;+&gt;+&gt;+&gt;+&gt;+++&gt;+&gt;+&gt;+&gt;+&gt;+&gt;+&gt;+&gt;+&gt;++++++++&gt;++++&gt;++++++++&gt;++++&gt;+++++++&gt;++&gt;+++&gt;+&gt;+++&gt;++&gt;+++&gt;+++&gt;+&gt;+&gt;+&gt;+&gt;+&gt;+&gt;+&gt;+&gt;++++&gt;++++&gt;+++++++&gt;+&gt;++++&gt;++++++++&gt;++&gt;+++++++&gt;+++&gt;++++++++&gt;++&gt;+++++++&gt;+++&gt;++++++++&gt;++&gt;+++++++&gt;+++&gt;++++++++&gt;++&gt;+++++++&gt;+++&gt;+++++&gt;++++++++&gt;++++&gt;+++++++&gt;+++++++&gt;+&gt;+&gt;+++&gt;+&gt;+&gt;+&gt;++++++++&gt;+++&gt;+++++++&gt;+&gt;+++&gt;+&gt;+++&gt;+&gt;+++&gt;+&gt;++++++++&gt;++++&gt;++++++++&gt;++++&gt;++++++++&gt;++++&gt;++++&gt;+&gt;+++&gt;+++&gt;++&gt;+++++++&gt;+++++++&gt;+&gt;+&gt;+&gt;++++++++&gt;+++&gt;+&gt;++++++++&gt;++++&gt;+&gt;+++&gt;++&gt;+++++++&gt;++&gt;+++++++&gt;++++&gt;++++&gt;++++++++&gt;+++&gt;++++++++&gt;+++&gt;+++&gt;+&gt;++++&gt;++++&gt;++&gt;+++++++&gt;+++&gt;+++&gt;++++++++&gt;++++&gt;+&gt;+++&gt;++&gt;+++++++&gt;++++&gt;++++&gt;+++++++&gt;+++&gt;+++&gt;+++&gt;+++&gt;++++++++&gt;++++&gt;++++&gt;+&gt;+++&gt;+&gt;+++&gt;++&gt;+++++++&gt;+++++++
[
    [-&gt;+&gt;+&lt;&lt;]
    &gt;&gt;&gt;&gt;[&lt;&lt;[-&gt;+&lt;]&gt;&gt;[-&lt;&lt;+&gt;&gt;]&gt;]
    &lt;&lt;[-[-&gt;+&lt;]+&gt;]+++
    [[-&gt;&gt;+&lt;&lt;]&lt;]&lt;
]
+&gt;+&gt;+&gt;+
[&gt;]+++&gt;++
[
    [&lt;].
    &gt;[-]&gt;[-]&gt;[-]&gt;[-]
    &lt;+[&lt;&lt;++++++++&gt;&gt;-&gt;+&gt;-[&lt;]&lt;]
    ++++++++&gt;++++++++&gt;+++++++&gt;&gt;
]
.

If one character is removed from the Lenguage program, the last character becomes a &lt;, which causes the program to print exactly one less character.