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214144332401 = 2297835311161
BaseRepresentation
bin1100011101101111111…
…1110011001001110001
3202110202002100012220102
43013123333303021301
512002031422114101
6242213200122145
721320460535466
oct3073377631161
9673662305812
10214144332401
11828aa99050a
1235604606355
13172697c432c
14a51680966d
1558850b786b
hex31dbff3271

214144332401 has 8 divisors (see below), whose sum is σ = 214282405704. Its totient is φ = 214006302720.

The previous prime is 214144332397. The next prime is 214144332431. The reversal of 214144332401 is 104233441412.

Adding to 214144332401 its reverse (104233441412), we get a palindrome (318377773813).

It can be written as a sum of positive squares in 4 ways, for example, as 4175098225 + 209969234176 = 64615^2 + 458224^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 214144332401 - 22 = 214144332397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214144332431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19181261 + ... + 19192421.

It is an arithmetic number, because the mean of its divisors is an integer number (26785300713).

Almost surely, 2214144332401 is an apocalyptic number.

It is an amenable number.

214144332401 is a deficient number, since it is larger than the sum of its proper divisors (138073303).

214144332401 is a wasteful number, since it uses less digits than its factorization.

214144332401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21811.

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 214144332401 in words is "two hundred fourteen billion, one hundred forty-four million, three hundred thirty-two thousand, four hundred one".

Divisors: 1 2297 8353 11161 19186841 25636817 93227833 214144332401