Search a number
-
+
214400428677 = 32116789203977
BaseRepresentation
bin1100011110101101000…
…0101110101010000101
3202111101221020020221200
43013223100232222011
512003043002204202
6242254425133113
721330020401041
oct3075320565205
9674357206850
10214400428677
1182a214a8426
123567632a199
13172aa88c7a6
14a53c831021
15589c802e1c
hex31eb42ea85

214400428677 has 12 divisors (see below), whose sum is σ = 309693678060. Its totient is φ = 142931694528.

The previous prime is 214400428673. The next prime is 214400428681. The reversal of 214400428677 is 776824004412.

214400428677 is a `hidden beast` number, since 21 + 440 + 0 + 42 + 86 + 77 = 666.

214400428677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214400428673) and next prime (214400428681).

It can be written as a sum of positive squares in 2 ways, for example, as 103345532676 + 111054896001 = 321474^2 + 333249^2 .

It is not a de Polignac number, because 214400428677 - 22 = 214400428673 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214400428673) 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 11 ways as a sum of consecutive naturals, for example, 949113 + ... + 1153089.

It is an arithmetic number, because the mean of its divisors is an integer number (25807806505).

Almost surely, 2214400428677 is an apocalyptic number.

It is an amenable number.

214400428677 is a deficient number, since it is larger than the sum of its proper divisors (95293249383).

214400428677 is a wasteful number, since it uses less digits than its factorization.

214400428677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320772 (or 320769 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 214400428677 in words is "two hundred fourteen billion, four hundred million, four hundred twenty-eight thousand, six hundred seventy-seven".

Divisors: 1 3 9 116789 203977 350367 611931 1051101 1835793 23822269853 71466809559 214400428677