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423122242221324 = 223237317659341007
BaseRepresentation
bin110000000110100111101001…
…0111100011011010100001100
32001111011002110120022011011100
41200031033102330123110030
5420424413323002040244
64055523401415423100
7155060400414652212
oct14015172274332414
92044132416264140
10423122242221324
11112902153a615a8
123b557b12984a90
1315213343c41009
14766b323812cb2
1533db5a946ab69
hex180d3d2f1b50c

423122242221324 has 36 divisors (see below), whose sum is σ = 1098466001205664. Its totient is φ = 137228835314592.

The previous prime is 423122242221247. The next prime is 423122242221331.

It is a happy number.

423122242221324 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 222 + 422 + 2 + 1 + 3 + 2 + 4 = 666.

423122242221324 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158829669172 + ... + 158829671835.

Almost surely, 2423122242221324 is an apocalyptic number.

It is an amenable number.

423122242221324 is an abundant number, since it is smaller than the sum of its proper divisors (675343758984340).

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

423122242221324 is a wasteful number, since it uses less digits than its factorization.

423122242221324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317659341054 (or 317659341049 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 423122242221324 in words is "four hundred twenty-three trillion, one hundred twenty-two billion, two hundred forty-two million, two hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 317659341007 635318682014 952978023021 1270637364028 1905956046042 2858934069063 3811912092084 5717868138126 11435736276252 11753395617259 23506791234518 35260186851777 47013582469036 70520373703554 105780560555331 141040747407108 211561121110662 423122242221324