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412222335345 = 32512897106669
BaseRepresentation
bin1011111111110100101…
…11011010100101110001
31110102000111001100002200
411333322113122211301
523223212404212340
6513212231133413
741532153015522
oct5777227324561
91412014040080
10412222335345
11149905841897
1267a84514269
132cb4587a532
1415d47538849
15aac9936330
hex5ffa5da971

412222335345 has 24 divisors (see below), whose sum is σ = 715073135400. Its totient is φ = 219681321216.

The previous prime is 412222335331. The next prime is 412222335347. The reversal of 412222335345 is 543533222214.

412222335345 is a `hidden beast` number, since 41 + 2 + 2 + 223 + 353 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37726069824 + 374496265521 = 194232^2 + 611961^2 .

It is not a de Polignac number, because 412222335345 - 29 = 412222334833 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (412222335347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3495330 + ... + 3611339.

It is an arithmetic number, because the mean of its divisors is an integer number (29794713975).

Almost surely, 2412222335345 is an apocalyptic number.

412222335345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412222335345 is a deficient number, since it is larger than the sum of its proper divisors (302850800055).

412222335345 is a wasteful number, since it uses less digits than its factorization.

412222335345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107969 (or 7107966 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 412222335345 its reverse (543533222214), we get a palindrome (955755557559).

The spelling of 412222335345 in words is "four hundred twelve billion, two hundred twenty-two million, three hundred thirty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 1289 3867 6445 11601 19335 58005 7106669 21320007 35533345 63960021 106600035 319800105 9160496341 27481489023 45802481705 82444467069 137407445115 412222335345