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431014424144 = 24149180794641
BaseRepresentation
bin1100100010110100111…
…01100010111001010000
31112012112010200100200112
412101122131202321100
524030204143033034
6530001050540452
743065640104443
oct6213235427120
91465463610615
10431014424144
11156879451297
126b649a37728
133184bc20ac5
1416c0b23165a
15b3296027ce
hex645a762e50

431014424144 has 20 divisors (see below), whose sum is σ = 840695085300. Its totient is φ = 214060853760.

The previous prime is 431014424123. The next prime is 431014424149. The reversal of 431014424144 is 441424410134.

It can be written as a sum of positive squares in 2 ways, for example, as 189921640000 + 241092784144 = 435800^2 + 491012^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 431014424144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431014424149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90394937 + ... + 90399704.

It is an arithmetic number, because the mean of its divisors is an integer number (42034754265).

Almost surely, 2431014424144 is an apocalyptic number.

It is an amenable number.

431014424144 is a deficient number, since it is larger than the sum of its proper divisors (409680661156).

431014424144 is a wasteful number, since it uses less digits than its factorization.

431014424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180794798 (or 180794792 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 431014424144 its reverse (441424410134), we get a palindrome (872438834278).

The spelling of 431014424144 in words is "four hundred thirty-one billion, fourteen million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 149 298 596 1192 2384 180794641 361589282 723178564 1446357128 2892714256 26938401509 53876803018 107753606036 215507212072 431014424144