Search a number
-
+
42057357077 = 174160340541
BaseRepresentation
bin100111001010110100…
…000101011100010101
311000120001100002211202
4213022310011130111
51142113140411302
631153151042245
73016135431251
oct471264053425
9130501302752
1042057357077
111692231094a
128198b10385
133c7338c908
14206d917261
151162429202
hex9cad05715

42057357077 has 8 divisors (see below), whose sum is σ = 45617449752. Its totient is φ = 38617945600.

The previous prime is 42057357073. The next prime is 42057357091. The reversal of 42057357077 is 77075375024.

It can be written as a sum of positive squares in 4 ways, for example, as 912885796 + 41144471281 = 30214^2 + 202841^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42057357077 - 22 = 42057357073 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42057357073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30169574 + ... + 30170967.

It is an arithmetic number, because the mean of its divisors is an integer number (5702181219).

Almost surely, 242057357077 is an apocalyptic number.

It is an amenable number.

42057357077 is a deficient number, since it is larger than the sum of its proper divisors (3560092675).

42057357077 is a wasteful number, since it uses less digits than its factorization.

42057357077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60340599.

The product of its (nonzero) digits is 1440600, while the sum is 47.

The spelling of 42057357077 in words is "forty-two billion, fifty-seven million, three hundred fifty-seven thousand, seventy-seven".

Divisors: 1 17 41 697 60340541 1025789197 2473962181 42057357077