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40345540993 is a prime number
BaseRepresentation
bin100101100100110010…
…000001100110000001
310212010202020211122001
4211210302001212001
51130111424302433
630311240544001
72625541303642
oct454462014601
9125122224561
1040345540993
111612400810a
12799b782001
133a5c836ca4
141d4a4376c9
1510b1ede57d
hex964c81981

40345540993 has 2 divisors, whose sum is σ = 40345540994. Its totient is φ = 40345540992.

The previous prime is 40345540987. The next prime is 40345540997. The reversal of 40345540993 is 39904554304.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40195037169 + 150503824 = 200487^2 + 12268^2 .

It is a cyclic number.

It is not a de Polignac number, because 40345540993 - 229 = 39808670081 is a prime.

It is not a weakly prime, because it can be changed into another prime (40345540997) 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, 20172770496 + 20172770497.

It is an arithmetic number, because the mean of its divisors is an integer number (20172770497).

Almost surely, 240345540993 is an apocalyptic number.

It is an amenable number.

40345540993 is a deficient number, since it is larger than the sum of its proper divisors (1).

40345540993 is an equidigital number, since it uses as much as digits as its factorization.

40345540993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 40345540993 in words is "forty billion, three hundred forty-five million, five hundred forty thousand, nine hundred ninety-three".