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40434440257 is a prime number
BaseRepresentation
bin100101101010000101…
…001001100001000001
310212100221112101111101
4211222011021201001
51130302204042012
630324134214401
72631001033321
oct455205114101
9125327471441
1040434440257
111616a207482
127a054b4401
133a75091bc3
141d58179281
1510b9beed57
hex96a149841

40434440257 has 2 divisors, whose sum is σ = 40434440258. Its totient is φ = 40434440256.

The previous prime is 40434440173. The next prime is 40434440261. The reversal of 40434440257 is 75204443404.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35618635441 + 4815804816 = 188729^2 + 69396^2 .

It is a cyclic number.

It is not a de Polignac number, because 40434440257 - 27 = 40434440129 is a prime.

It is not a weakly prime, because it can be changed into another prime (40434446257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20217220128 + 20217220129.

It is an arithmetic number, because the mean of its divisors is an integer number (20217220129).

Almost surely, 240434440257 is an apocalyptic number.

It is an amenable number.

40434440257 is a deficient number, since it is larger than the sum of its proper divisors (1).

40434440257 is an equidigital number, since it uses as much as digits as its factorization.

40434440257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 215040, while the sum is 37.

The spelling of 40434440257 in words is "forty billion, four hundred thirty-four million, four hundred forty thousand, two hundred fifty-seven".