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14427613224 = 2332667330029
BaseRepresentation
bin11010110111111001…
…11110100000101000
31101020111002200122100
431123330332200220
5214021432110344
610343345453400
71020346455213
oct153374764050
941214080570
1014427613224
1161340143a2
122967941260
13148c09ac5b
149ac1c877a
1559694d569
hex35bf3e828

14427613224 has 48 divisors (see below), whose sum is σ = 39081942900. Its totient is φ = 4808323584.

The previous prime is 14427613217. The next prime is 14427613229. The reversal of 14427613224 is 42231672441.

14427613224 is a `hidden beast` number, since 1 + 4 + 427 + 6 + 1 + 3 + 224 = 666.

It is a Cunningham number, because it is equal to 1201152-1.

It can be written as a sum of positive squares in 2 ways, for example, as 14407200900 + 20412324 = 120030^2 + 4518^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14427613229) 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, 465442 + ... + 495470.

Almost surely, 214427613224 is an apocalyptic number.

It is an amenable number.

14427613224 is an abundant number, since it is smaller than the sum of its proper divisors (24654329676).

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

14427613224 is a wasteful number, since it uses less digits than its factorization.

14427613224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36714 (or 36707 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 14427613224 in words is "fourteen billion, four hundred twenty-seven million, six hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6673 13346 20019 26692 30029 40038 53384 60057 60058 80076 90087 120114 120116 160152 180174 240228 240232 270261 360348 480456 540522 720696 1081044 2162088 200383517 400767034 601150551 801534068 1202301102 1603068136 1803451653 2404602204 3606903306 4809204408 7213806612 14427613224