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214353240433 is a prime number
BaseRepresentation
bin1100011110100001110…
…0101110000101110001
3202111021122102211211221
43013220130232011301
512002443412143213
6242250021505041
721325605324013
oct3075034560561
9674248384757
10214353240433
11829a78a8182
1235662572181
13172a0b7a157
14a53646a1b3
1558985d138d
hex31e872e171

214353240433 has 2 divisors, whose sum is σ = 214353240434. Its totient is φ = 214353240432.

The previous prime is 214353240391. The next prime is 214353240473. The reversal of 214353240433 is 334042353412.

214353240433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152746525584 + 61606714849 = 390828^2 + 248207^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214353240433 is a prime.

It is a super-3 number, since 3×2143532404333 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (214353240473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107176620216 + 107176620217.

It is an arithmetic number, because the mean of its divisors is an integer number (107176620217).

Almost surely, 2214353240433 is an apocalyptic number.

It is an amenable number.

214353240433 is a deficient number, since it is larger than the sum of its proper divisors (1).

214353240433 is an equidigital number, since it uses as much as digits as its factorization.

214353240433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 214353240433 its reverse (334042353412), we get a palindrome (548395593845).

The spelling of 214353240433 in words is "two hundred fourteen billion, three hundred fifty-three million, two hundred forty thousand, four hundred thirty-three".