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214312343213412 = 22325953120644817
BaseRepresentation
bin110000101110101001111011…
…000101101001010101100100
31001002211001121200102020201100
4300232221323011221111210
5211042243134330312122
62035445421543400100
763066361436334543
oct6056517305512544
91032731550366640
10214312343213412
11623173996a6154
1220053202153030
13927774b3243b2
143accab663415a
1519b9b510b4aac
hexc2ea7b169564

214312343213412 has 18 divisors (see below), whose sum is σ = 541733978678438. Its totient is φ = 71437447737792.

The previous prime is 214312343213407. The next prime is 214312343213413.

214312343213412 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 1 + 23 + 4 + 3 + 213 + 412 = 666.

214312343213412 is nontrivially palindromic in base 10.

214312343213412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 125593576577316 + 88718766636096 = 11206854^2 + 9419064^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 5953120644817 = 214312343213412 / (2 + 1 + 4 + 3 + 1 + 2 + 3 + 4 + 3 + 2 + 1 + 3 + 4 + 1 + 2).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (214312343213413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2976560322373 + ... + 2976560322444.

Almost surely, 2214312343213412 is an apocalyptic number.

It is an amenable number.

214312343213412 is an abundant number, since it is smaller than the sum of its proper divisors (327421635465026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214312343213412 is a wasteful number, since it uses less digits than its factorization.

214312343213412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953120644827 (or 5953120644822 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 214312343213412 in words is "two hundred fourteen trillion, three hundred twelve billion, three hundred forty-three million, two hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 5953120644817 11906241289634 17859361934451 23812482579268 35718723868902 53578085803353 71437447737804 107156171606706 214312343213412