onPlayerEntered script help?

You're trying to set a NumberValue's Value to a string.

function onPlayerEntered(newPlayer)
    local All = game.Workspace.PInfo:GetChildren()
    local Num = Instance.new("NumberValue")
    Num.Name = "PadNum"
    Num.Parent = newPlayer
    newPlayer:WaitForChild("PadNum")
    local PadNum = newPlayer:FindFirstChild("PadNum")
    for i, v in pairs(All) do
        if PadNum.Value == 0 then
        else
            if v.Claimed.Value == false then
                v.Owner.Value = newPlayer.Name
                v.Claimed.Value = true
                PadNum.Value = v.Name
            else
            end
        end
    end
end
game.Players.ChildAdded:connect(onPlayerEntered)

After we break down the code and do a little refactoring, we are essentially presented with

game.Players.PlayerAdded:connect(function(newPlayer)
    local All = game.Workspace.PInfo:GetChildren()
    local PadNum = Instance.new("NumberValue")
    PadNum.Name = "PadNum"
    PadNum.Parent = newPlayer
    for i, v in pairs(All) do
        if PadNum.Value ~= 0 then
            if v.Claimed.Value == false then
                v.Owner.Value = newPlayer.Name
                v.Claimed.Value = true
                PadNum.Value = v.Name
            end
        end
    end
end)

Which leaves us with a slight problem at PadNum.Value = v.Name; PadNum is a NumberValue, but v.Name is a string. You may need to reconsider either what you are setting as PadNum.Value, or reconsider how you are recording your information and in which formats.

First off, line 9 and line 14 so in line 9, you define PadNum as an IntValue, but then in line 14, you want its value to be a string. That might be what breaks it.