Search a number
-
+
42114000407 is a prime number
BaseRepresentation
bin100111001110001100…
…001010011000010111
311000200222220212212212
4213032030022120113
51142222141003112
631202533104035
73020424045203
oct471614123027
9130628825785
1042114000407
1116951289916
1281b3a8801b
133c82032a8b
14207725db03
1511673b7522
hex9ce30a617

42114000407 has 2 divisors, whose sum is σ = 42114000408. Its totient is φ = 42114000406.

The previous prime is 42114000391. The next prime is 42114000503. The reversal of 42114000407 is 70400041124.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 42114000407 - 24 = 42114000391 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42114000107) 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, 21057000203 + 21057000204.

It is an arithmetic number, because the mean of its divisors is an integer number (21057000204).

Almost surely, 242114000407 is an apocalyptic number.

42114000407 is a deficient number, since it is larger than the sum of its proper divisors (1).

42114000407 is an equidigital number, since it uses as much as digits as its factorization.

42114000407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 23.

The spelling of 42114000407 in words is "forty-two billion, one hundred fourteen million, four hundred seven", and thus it is an aban number.