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214310320441 = 724373680009
BaseRepresentation
bin1100011110010111100…
…0111111100100111001
3202111011122200021200121
43013211320333210321
512002401420223231
6242241445533241
721324544444600
oct3074570774471
9674148607617
10214310320441
1182985652808
1235650114221
13172950004c9
14a530896a37
155894954311
hex31e5e3f939

214310320441 has 6 divisors (see below), whose sum is σ = 249299760570. Its totient is φ = 183694560336.

The previous prime is 214310320409. The next prime is 214310320487. The reversal of 214310320441 is 144023013412.

It can be written as a sum of positive squares in only one way, i.e., 202495500025 + 11814820416 = 449995^2 + 108696^2 .

It is not a de Polignac number, because 214310320441 - 25 = 214310320409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214310320141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2186839956 + ... + 2186840053.

It is an arithmetic number, because the mean of its divisors is an integer number (41549960095).

Almost surely, 2214310320441 is an apocalyptic number.

It is an amenable number.

214310320441 is a deficient number, since it is larger than the sum of its proper divisors (34989440129).

214310320441 is an equidigital number, since it uses as much as digits as its factorization.

214310320441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373680023 (or 4373680016 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 214310320441 its reverse (144023013412), we get a palindrome (358333333853).

The spelling of 214310320441 in words is "two hundred fourteen billion, three hundred ten million, three hundred twenty thousand, four hundred forty-one".

Divisors: 1 7 49 4373680009 30615760063 214310320441