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13434120444 = 2233171508637
BaseRepresentation
bin11001000001011110…
…00110100011111100
31021200020200000202110
430200233012203330
5210003113323234
610101015454020
7653624065623
oct144057064374
937606600673
1013434120444
115774235588
12272b087310
1313612cb8c4
149162926ba
155396051e9
hex320bc68fc

13434120444 has 48 divisors (see below), whose sum is σ = 32813254656. Its totient is φ = 4272542400.

The previous prime is 13434120421. The next prime is 13434120509. The reversal of 13434120444 is 44402143431.

13434120444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 227907 + ... + 280730.

It is an arithmetic number, because the mean of its divisors is an integer number (683609472).

Almost surely, 213434120444 is an apocalyptic number.

It is an amenable number.

13434120444 is an abundant number, since it is smaller than the sum of its proper divisors (19379134212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13434120444 is a wasteful number, since it uses less digits than its factorization.

13434120444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508746 (or 508744 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 13434120444 its reverse (44402143431), we get a palindrome (57836263875).

The spelling of 13434120444 in words is "thirteen billion, four hundred thirty-four million, one hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 31 62 71 93 124 142 186 213 284 372 426 852 2201 4402 6603 8804 13206 26412 508637 1017274 1525911 2034548 3051822 6103644 15767747 31535494 36113227 47303241 63070988 72226454 94606482 108339681 144452908 189212964 216679362 433358724 1119510037 2239020074 3358530111 4478040148 6717060222 13434120444