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4022344432204 = 227178450303429
BaseRepresentation
bin111010100010000110011…
…010010011101001001100
3112020112101002200110120021
4322202012122103221030
51011400230133312304
612315501200431524
7563414305356250
oct72420632235114
915215332613507
104022344432204
11131095962a26a
1254b6830185a4
132323c8104557
14dc97ab3c260
156e96c972a54
hex3a886693a4c

4022344432204 has 24 divisors (see below), whose sum is σ = 8517905857440. Its totient is φ = 1622458258176.

The previous prime is 4022344432177. The next prime is 4022344432219.

4022344432204 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 4022344432204.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4225151239 + ... + 4225152190.

It is an arithmetic number, because the mean of its divisors is an integer number (354912744060).

Almost surely, 24022344432204 is an apocalyptic number.

It is an amenable number.

4022344432204 is an abundant number, since it is smaller than the sum of its proper divisors (4495561425236).

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

4022344432204 is a wasteful number, since it uses less digits than its factorization.

4022344432204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450303457 (or 8450303455 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

The spelling of 4022344432204 in words is "four trillion, twenty-two billion, three hundred forty-four million, four hundred thirty-two thousand, two hundred four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 8450303429 16900606858 33801213716 59152124003 118304248006 143655158293 236608496012 287310316586 574620633172 1005586108051 2011172216102 4022344432204