the least number in the world is -transfinite number

Graham's number is a large but finite number. Therefore it is less than every transfinite cardinal number. "Transinfinite" doesn't make sense.

Heinz Bachmann has written:

'Transfinite Zahlen' -- subject(s): Numbers, Transfinite, Transfinite numbers

John E. Yarnell has written:

'An introduction to transfinite mathematics' -- subject(s): Infinite Processes, Transfinite numbers

An aleph-one is the second of the transfinite cardinal numbers, which, according to the continuum hypothesis, corresponds to the number of real numbers.