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431444001 = 31922933301
BaseRepresentation
bin11001101101110…
…101000000100001
31010001211121220110
4121231311000201
51340422202001
6110451201533
713456133142
oct3155650041
91101747813
10431444001
112015a229a
121005a62a9
136b500911
144142bac9
1527d253d6
hex19b75021

431444001 has 16 divisors (see below), whose sum is σ = 605983040. Its totient is φ = 272289600.

The previous prime is 431443997. The next prime is 431444011. The reversal of 431444001 is 100444134.

It is not a de Polignac number, because 431444001 - 22 = 431443997 is a prime.

It is a super-2 number, since 2×4314440012 = 372287851997776002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431444011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129051 + ... + 132351.

It is an arithmetic number, because the mean of its divisors is an integer number (37873940).

Almost surely, 2431444001 is an apocalyptic number.

It is an amenable number.

431444001 is a deficient number, since it is larger than the sum of its proper divisors (174539039).

431444001 is a wasteful number, since it uses less digits than its factorization.

431444001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 431444001 is about 20771.2301272698. The cubic root of 431444001 is about 755.6281782759.

Adding to 431444001 its reverse (100444134), we get a palindrome (531888135).

The spelling of 431444001 in words is "four hundred thirty-one million, four hundred forty-four thousand, one".

Divisors: 1 3 19 57 2293 3301 6879 9903 43567 62719 130701 188157 7569193 22707579 143814667 431444001