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423220424022324 = 223211756122889509
BaseRepresentation
bin110000000111010101010111…
…1000010010001100100110100
32001111111110220000200102021100
41200032222233002101210310
5420433020412022203244
64100040440112250100
7155100444433335045
oct14016525702214464
92044443800612240
10423220424022324
1111293a8570328a5
123b572b53840930
131521c68cb5ac56
147671d991c08cc
1533dde03c54b69
hex180eaaf091934

423220424022324 has 18 divisors (see below), whose sum is σ = 1069807182945410. Its totient is φ = 141073474674096.

The previous prime is 423220424022307. The next prime is 423220424022343.

423220424022324 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 2 + 0 + 424 + 0 + 223 + 2 + 4 = 666.

423220424022324 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 214127088818724 + 209093335203600 = 14633082^2 + 14460060^2 .

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: 11756122889509 = 423220424022324 / (4 + 2 + 3 + 2 + 2 + 0 + 4 + 2 + 4 + 0 + 2 + 2 + 3 + 2 + 4).

It is a congruent number.

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, 5878061444719 + ... + 5878061444790.

Almost surely, 2423220424022324 is an apocalyptic number.

It is an amenable number.

423220424022324 is an abundant number, since it is smaller than the sum of its proper divisors (646586758923086).

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

423220424022324 is a wasteful number, since it uses less digits than its factorization.

423220424022324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11756122889519 (or 11756122889514 counting only the distinct ones).

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

The spelling of 423220424022324 in words is "four hundred twenty-three trillion, two hundred twenty billion, four hundred twenty-four million, twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 11756122889509 23512245779018 35268368668527 47024491558036 70536737337054 105805106005581 141073474674108 211610212011162 423220424022324