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42000400037 is a prime number
BaseRepresentation
bin100111000111011010…
…110011111010100101
311000102002011101110202
4213013122303322211
51142004100300122
631143354200245
73014544336611
oct470732637245
9130362141422
1042000400037
11168a3149212
128181a23085
133c64639a1b
14206612c341
15115c427e92
hex9c76b3ea5

42000400037 has 2 divisors, whose sum is σ = 42000400038. Its totient is φ = 42000400036.

The previous prime is 42000399953. The next prime is 42000400063. The reversal of 42000400037 is 73000400024.

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., 37890179716 + 4110220321 = 194654^2 + 64111^2 .

It is a cyclic number.

It is not a de Polignac number, because 42000400037 - 214 = 42000383653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42000399991 and 42000400018.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42000400837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21000200018 + 21000200019.

It is an arithmetic number, because the mean of its divisors is an integer number (21000200019).

Almost surely, 242000400037 is an apocalyptic number.

It is an amenable number.

42000400037 is a deficient number, since it is larger than the sum of its proper divisors (1).

42000400037 is an equidigital number, since it uses as much as digits as its factorization.

42000400037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 20.

The spelling of 42000400037 in words is "forty-two billion, four hundred thousand, thirty-seven".