Highly Composite Numbers of the tth Order Jump To References Section Authors S. S. Pillai Calcutta University ,IN DOI: https://doi.org/10.18311/jims/1944/17091 Abstract Let dt(N) denote the number of ways of decomposing JV into / factors. N is defined as a highly composite number of the th order, if df (N) > dt(N') for all N' < N. Ramanujan's highly composite numbers form the particular case when t = 2.