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434078096831 = 113173199111581
BaseRepresentation
bin1100101000100010001…
…00100001110110111111
31112111102122112001112022
412110101010201312333
524102442443044311
6531225052030355
743234600642001
oct6242104416677
91474378461468
10434078096831
11158100850995
1270163a623bb
1331c19869b92
141701c090371
15b4585725db
hex6511121dbf

434078096831 has 16 divisors (see below), whose sum is σ = 442668110400. Its totient is φ = 425596469760.

The previous prime is 434078096779. The next prime is 434078096897. The reversal of 434078096831 is 138690870434.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-434078096831 is a prime.

It is a super-2 number, since 2×4340780968312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434078092831) 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, 3834461 + ... + 3946041.

It is an arithmetic number, because the mean of its divisors is an integer number (27666756900).

Almost surely, 2434078096831 is an apocalyptic number.

434078096831 is a deficient number, since it is larger than the sum of its proper divisors (8590013569).

434078096831 is a wasteful number, since it uses less digits than its factorization.

434078096831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112066.

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 434078096831 in words is "four hundred thirty-four billion, seventy-eight million, ninety-six thousand, eight hundred thirty-one".

Divisors: 1 113 173 199 19549 22487 34427 111581 3890251 12608653 19303513 22204619 2181296969 2509121947 3841399087 434078096831