Search a number
-
+
42014413121 is a prime number
BaseRepresentation
bin100111001000010000…
…010001000101000001
311000110001112022210212
4213020100101011001
51142021142204441
631145014403505
73015104422232
oct471020210501
9130401468725
1042014413121
111690004a47a
128186660595
133c675050a5
142067d39089
15115d794eeb
hex9c8411141

42014413121 has 2 divisors, whose sum is σ = 42014413122. Its totient is φ = 42014413120.

The previous prime is 42014413117. The next prime is 42014413151. The reversal of 42014413121 is 12131441024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41642116096 + 372297025 = 204064^2 + 19295^2 .

It is a cyclic number.

It is not a de Polignac number, because 42014413121 - 22 = 42014413117 is a prime.

It is not a weakly prime, because it can be changed into another prime (42014413151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21007206560 + 21007206561.

It is an arithmetic number, because the mean of its divisors is an integer number (21007206561).

Almost surely, 242014413121 is an apocalyptic number.

It is an amenable number.

42014413121 is a deficient number, since it is larger than the sum of its proper divisors (1).

42014413121 is an equidigital number, since it uses as much as digits as its factorization.

42014413121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 42014413121 its reverse (12131441024), we get a palindrome (54145854145).

The spelling of 42014413121 in words is "forty-two billion, fourteen million, four hundred thirteen thousand, one hundred twenty-one".