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14224144356 = 2232395115121
BaseRepresentation
bin11010011111101001…
…10011011111100100
31100201022020101211100
431033310303133210
5213112340104411
610311240440100
71012326142422
oct151764633744
940638211740
1014224144356
11603a182204
12290b779030
131458b9aa86
1498d182112
15583b5b456
hex34fd337e4

14224144356 has 18 divisors (see below), whose sum is σ = 35955476102. Its totient is φ = 4741381440.

The previous prime is 14224144303. The next prime is 14224144393. The reversal of 14224144356 is 65344142241.

14224144356 is a `hidden beast` number, since 142 + 24 + 1 + 443 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11747091456 + 2477052900 = 108384^2 + 49770^2 .

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: 395115121 = 14224144356 / (1 + 4 + 2 + 2 + 4 + 1 + 4 + 4 + 3 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 14224144356.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 197557525 + ... + 197557596.

Almost surely, 214224144356 is an apocalyptic number.

It is an amenable number.

14224144356 is an abundant number, since it is smaller than the sum of its proper divisors (21731331746).

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

14224144356 is a wasteful number, since it uses less digits than its factorization.

14224144356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395115131 (or 395115126 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 14224144356 its reverse (65344142241), we get a palindrome (79568286597).

The spelling of 14224144356 in words is "fourteen billion, two hundred twenty-four million, one hundred forty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 395115121 790230242 1185345363 1580460484 2370690726 3556036089 4741381452 7112072178 14224144356