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214401324141 = 3313001610783
BaseRepresentation
bin1100011110101101010…
…0001001010001101101
3202111101222220202022000
43013223110021101231
512003043214333031
6242254500242513
721330031120524
oct3075324112155
9674358822260
10214401324141
1182a21a5a184
12356766a0439
13172aab14254
14a53c9c54bb
15589c92d3e6
hex31eb50946d

214401324141 has 16 divisors (see below), whose sum is σ = 317656542720. Its totient is φ = 142922988000.

The previous prime is 214401324131. The next prime is 214401324167. The reversal of 214401324141 is 141423104412.

214401324141 is a `hidden beast` number, since 2 + 14 + 401 + 3 + 241 + 4 + 1 = 666.

214401324141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-214401324141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214401324131) 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 in 15 ways as a sum of consecutive naturals, for example, 45636 + ... + 656418.

It is an arithmetic number, because the mean of its divisors is an integer number (19853533920).

Almost surely, 2214401324141 is an apocalyptic number.

It is an amenable number.

214401324141 is a deficient number, since it is larger than the sum of its proper divisors (103255218579).

214401324141 is a wasteful number, since it uses less digits than its factorization.

214401324141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623793 (or 623787 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 214401324141 its reverse (141423104412), we get a palindrome (355824428553).

The spelling of 214401324141 in words is "two hundred fourteen billion, four hundred one million, three hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 9 27 13001 39003 117009 351027 610783 1832349 5497047 16491141 7940789783 23822369349 71467108047 214401324141