Search a number
-
+
41540146596 = 2234134672
BaseRepresentation
bin100110101011111111…
…000101010110100100
310222020000010002110000
4212223333011112210
51140033234142341
631025553301300
73000255264054
oct465377052644
9128200102400
1041540146596
1116687369a73
128073864830
133bc0190000
142020d61564
151131d118b6
hex9abfc55a4

41540146596 has 225 divisors, whose sum is σ = 119425422039. Its totient is φ = 12590813664.

The previous prime is 41540146553. The next prime is 41540146601. The reversal of 41540146596 is 69564104514.

The square root of 41540146596 is 203814.

It is a perfect power (a square), and thus also a powerful number.

41540146596 is a `hidden beast` number, since 4 + 1 + 5 + 40 + 14 + 6 + 596 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20596268196 + 20943878400 = 143514^2 + 144720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 620002155 + ... + 620002221.

Almost surely, 241540146596 is an apocalyptic number.

41540146596 is the 203814-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41540146596

41540146596 is an abundant number, since it is smaller than the sum of its proper divisors (77885275443).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41540146596 is an frugal number, since it uses more digits than its factorization.

41540146596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 41540146596 in words is "forty-one billion, five hundred forty million, one hundred forty-six thousand, five hundred ninety-six".