How can I factorize a 350 bit (106 decimal digits) number in two prime factors? I have this large number:

1728098743723095094470726818328193358068864405124007684733613106475812450278961107574624070107782941006379

which is the multiplication of two unknown large prime numbers. I try to factorize it with the "Yafu" tool, but i get an error of "time exceeded.

How can I factorize it? How many time will it take?
FWIW magma took 61+ hours ("Time: 221003.960") running on germain.harvard.edu to obtain the factorization


   $40234782465449057005624875587624394161353466559301303 \cdot 42950368756363249557996836702278286314269822003688493\;.$