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42334040137 is a prime number
BaseRepresentation
bin100111011011010011…
…100011000001001001
311001021022222001122111
4213123103203001021
51143200003241022
631240433222321
73026035255354
oct473323430111
9131238861574
1042334040137
1116a54509a34
1282557019a1
133cb87b55bc
14209857b29b
15117b87e477
hex9db4e3049

42334040137 has 2 divisors, whose sum is σ = 42334040138. Its totient is φ = 42334040136.

The previous prime is 42334040117. The next prime is 42334040153. The reversal of 42334040137 is 73104043324.

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., 38234327296 + 4099712841 = 195536^2 + 64029^2 .

It is a cyclic number.

It is not a de Polignac number, because 42334040137 - 27 = 42334040009 is a prime.

It is a super-2 number, since 2×423340401372 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42334040099 and 42334040108.

It is not a weakly prime, because it can be changed into another prime (42334040117) 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 as a sum of consecutive naturals, namely, 21167020068 + 21167020069.

It is an arithmetic number, because the mean of its divisors is an integer number (21167020069).

Almost surely, 242334040137 is an apocalyptic number.

It is an amenable number.

42334040137 is a deficient number, since it is larger than the sum of its proper divisors (1).

42334040137 is an equidigital number, since it uses as much as digits as its factorization.

42334040137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 31.

The spelling of 42334040137 in words is "forty-two billion, three hundred thirty-four million, forty thousand, one hundred thirty-seven".