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431334442041 = 31919938026487
BaseRepresentation
bin1100100011011011000…
…10010100010000111001
31112020100102211221201020
412101231202110100321
524031333104121131
6530052522013053
743106604156306
oct6215542242071
91466312757636
10431334442041
11156a23058498
126b719047189
13318a030a1c9
1416c3b9360ad
15b347767996
hex646d894439

431334442041 has 16 divisors (see below), whose sum is σ = 608423808000. Its totient is φ = 271052792208.

The previous prime is 431334442027. The next prime is 431334442043. The reversal of 431334442041 is 140244433134.

It is not a de Polignac number, because 431334442041 - 218 = 431334179897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 431334441993 and 431334442011.

It is not an unprimeable number, because it can be changed into a prime (431334442043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19001901 + ... + 19024586.

It is an arithmetic number, because the mean of its divisors is an integer number (38026488000).

Almost surely, 2431334442041 is an apocalyptic number.

It is an amenable number.

431334442041 is a deficient number, since it is larger than the sum of its proper divisors (177089365959).

431334442041 is a wasteful number, since it uses less digits than its factorization.

431334442041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38026708.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 431334442041 its reverse (140244433134), we get a palindrome (571578875175).

The spelling of 431334442041 in words is "four hundred thirty-one billion, three hundred thirty-four million, four hundred forty-two thousand, forty-one".

Divisors: 1 3 19 57 199 597 3781 11343 38026487 114079461 722503253 2167509759 7567270913 22701812739 143778147347 431334442041