I always find this a rather disturbing parable, the rich man is condemned for sins of which he is unaware, no deliberate action, but simple ignorance!
Most of our sins are the result of ignorance, but here the rich man's sins result in his damnation. This story alone puts pay to the "the little voice inside us", primary school notion of conscience.
Christianity is a revealed religion, this Revelation is "the Light of the nations", our faith is supposed to inform our conscience, this is why Abraham says that the rich man's brothers "have Moses and the prophets", and "if they will not listen to them....".
The trouble is that wealth tends to give us a sense of complacency, like the rich drunkards bawling on their ivory couches, we invent new instruments for our amusement, like some people in Brighton who seem continually to want invent new pleasures; a new drink, a new food, a new film, a new night club, a new sexual partner or sexual act, a new form of pornography. The great problem with wealth is it cuts us off from other people, we live amongst "the haves" and forget the "have nots", and the haves" always want to have more and take more. And it is always the poor from whom they take.
Let us not be presumptious and consider we will all be in Heaven, I am sure that is what the rich man believed. When you and I die and end up in the place of torment, who will be in the bosom of Abraham looking down on us? I suspect it might be the exploited Chinese worker who has made our cheap clothing, or the Bangladeshi farmer whose home and lands have been drowned because of climate change caused by our rapacious appetite for cheap energy, or those children who have been born with teir sexual organs deformed because of oestrogens poured into the oceans because of the use of "the pill", or the children of Africa because we have allowed our government promote a condom culture which promotes the spread of HIV and AIDS see here or those millions of children aborted in Britain since the legalisation of abortion 4o years ago.