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434240042133 = 3438937822493
BaseRepresentation
bin1100101000110101011…
…10010011010010010101
31112111211221020201201110
412110122232103102111
524103310422322013
6531253115045233
743241605312512
oct6243256232225
91474757221643
10434240042133
11158184201887
12701aa140819
1331c4428bbc1
14170357a8309
15b4678b12c3
hex651ab93495

434240042133 has 16 divisors (see below), whose sum is σ = 599108304960. Its totient is φ = 279583860864.

The previous prime is 434240042129. The next prime is 434240042143. The reversal of 434240042133 is 331240042434.

It is a happy number.

It is not a de Polignac number, because 434240042133 - 22 = 434240042129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 434240042133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434240042123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18899766 + ... + 18922727.

It is an arithmetic number, because the mean of its divisors is an integer number (37444269060).

Almost surely, 2434240042133 is an apocalyptic number.

434240042133 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

434240042133 is a deficient number, since it is larger than the sum of its proper divisors (164868262827).

434240042133 is a wasteful number, since it uses less digits than its factorization.

434240042133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37822628.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 434240042133 its reverse (331240042434), we get a palindrome (765480084567).

The spelling of 434240042133 in words is "four hundred thirty-four billion, two hundred forty million, forty-two thousand, one hundred thirty-three".

Divisors: 1 3 43 89 129 267 3827 11481 37822493 113467479 1626367199 3366201877 4879101597 10098605631 144746680711 434240042133