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4232422242324 = 2232117567284509
BaseRepresentation
bin111101100101110000000…
…001100011100000010100
3112222121121210010221121100
4331211300001203200110
51023321000043223244
613000203053150100
7614532240321003
oct75456001434024
915877553127540
104232422242324
111391a62020361
1258433178b330
13249167285583
14108bc9438c3a
1575165a24b69
hex3d970063814

4232422242324 has 18 divisors (see below), whose sum is σ = 10698622890410. Its totient is φ = 1410807414096.

The previous prime is 4232422242311. The next prime is 4232422242361.

4232422242324 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 4 + 222 + 423 + 2 + 4 = 666.

4232422242324 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 3693545859600 + 538876382724 = 1921860^2 + 734082^2 .

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: 117567284509 = 4232422242324 / (4 + 2 + 3 + 2 + 4 + 2 + 2 + 2 + 4 + 2 + 3 + 2 + 4).

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

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 58783642219 + ... + 58783642290.

Almost surely, 24232422242324 is an apocalyptic number.

It is an amenable number.

4232422242324 is an abundant number, since it is smaller than the sum of its proper divisors (6466200648086).

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

4232422242324 is a wasteful number, since it uses less digits than its factorization.

4232422242324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117567284519 (or 117567284514 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The spelling of 4232422242324 in words is "four trillion, two hundred thirty-two billion, four hundred twenty-two million, two hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 117567284509 235134569018 352701853527 470269138036 705403707054 1058105560581 1410807414108 2116211121162 4232422242324