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14122141224 = 233588422551
BaseRepresentation
bin11010010011011111…
…01100011000101000
31100110012022002211120
431021233230120220
5212410232004344
610253154255240
71006650135252
oct151157543050
940405262746
1014122141224
115a976427a4
1228a1587520
131440a055a9
1497d7cccd2
15579c0d219
hex349bec628

14122141224 has 16 divisors (see below), whose sum is σ = 35305353120. Its totient is φ = 4707380400.

The previous prime is 14122141211. The next prime is 14122141273. The reversal of 14122141224 is 42214122141.

It is a happy number.

14122141224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×141221412243 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 588422551 = 14122141224 / (1 + 4 + 1 + 2 + 2 + 1 + 4 + 1 + 2 + 2 + 4).

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

It is a junction number, because it is equal to n+sod(n) for n = 14122141194 and 14122141203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 294211252 + ... + 294211299.

It is an arithmetic number, because the mean of its divisors is an integer number (2206584570).

Almost surely, 214122141224 is an apocalyptic number.

It is an amenable number.

14122141224 is an abundant number, since it is smaller than the sum of its proper divisors (21183211896).

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

14122141224 is a wasteful number, since it uses less digits than its factorization.

14122141224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588422560 (or 588422556 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 14122141224 its reverse (42214122141), we get a palindrome (56336263365).

The spelling of 14122141224 in words is "fourteen billion, one hundred twenty-two million, one hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 588422551 1176845102 1765267653 2353690204 3530535306 4707380408 7061070612 14122141224