User blog comment:TechKon/Lambda Function/@comment-25418284-20140227233334/@comment-80.101.234.232-20140301070135

Actually, the growth rate of the function is comparable to 10m*t 3, where t denotes time. If we denote time in seconds, we get the radius t*1.8549*1043

Number of digits in one observable universe:  4/3π(t*1.8549*1043)3 = 2,6732*10130*t3

Let 2,6732*10130 be b.

Number of digits in m observable universes: b*m*t3

So the value of Λ(α,t) is comparable to 10b*α*t 3