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12434034039 = 371793737171
BaseRepresentation
bin10111001010010000…
…00100110101110111
31012002112211101010020
423211020010311313
5200431103042124
65413452300223
7620061355050
oct134510046567
935075741106
1012434034039
115300762899
1224b0171673
1312320612bb
1485d521727
154cb908379
hex2e5204d77

12434034039 has 32 divisors (see below), whose sum is σ = 20083585536. Its totient is φ = 6679895040.

The previous prime is 12434034023. The next prime is 12434034047. The reversal of 12434034039 is 93043043421.

12434034039 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12434034039 - 24 = 12434034023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434034059) 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 31 ways as a sum of consecutive naturals, for example, 315924 + ... + 353094.

It is an arithmetic number, because the mean of its divisors is an integer number (627612048).

Almost surely, 212434034039 is an apocalyptic number.

12434034039 is a deficient number, since it is larger than the sum of its proper divisors (7649551497).

12434034039 is a wasteful number, since it uses less digits than its factorization.

12434034039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38135.

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 12434034039 in words is "twelve billion, four hundred thirty-four million, thirty-four thousand, thirty-nine".

Divisors: 1 3 7 17 21 51 119 357 937 2811 6559 15929 19677 37171 47787 111503 111513 260197 334509 631907 780591 1895721 4423349 13270047 34829227 104487681 243804589 592096859 731413767 1776290577 4144678013 12434034039