Traditional concept associated with the ayat 34:14 is that prophet Suleiman (a.s) died while leaning on his stick and did not fall until the stick was eaten away by a worm which must take a substantial amount of time. When the stick gave way, only then he fell. Till that time nobody knew that he was dead. This concept is ridiculous as a dead man can not lean on a stick after his death, the body will definitely fall right away. Also, in addition to the jinns, the king must have his family who cannot remain oblivious to him standing at one place for weeks without eating and drinking and coming to them. Also, a king has a lot of state duties which cannot allow the king to refrain from attending to the affairs of the state even for a short duration without raising concerns of the attendants and Government agencies.
It could be that the word 'Minsat' i.e the staff/stick, denotes his lifespan. Prophet Suleiman's life-span like everybody else, was being eaten away by creature of earth (bacteria/virus or natural progression towards death of any living being on earth), however the Jinns who are quite knowledgeable and capable otherwise, don't have knowledge about essence of life and death. What is it when it leaves the body, a fully functional body alive a moment ago, becomes dead while all the organs and ingredients are still intact in the body? These mysteries of life will still remain despite advancement in knowledge.
https://topicsfromquran.com/2018/06/10/who-are-jinns-as-per-quran/