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14034121312 = 253731138113
BaseRepresentation
bin11010001000111111…
…11011001001100000
31100020001200020012211
431010133323021200
5212220213340222
610240331531504
71004531030401
oct150437731140
940201606184
1014034121312
115a51994072
122877bb9b94
1314286c79c3
14971c399a8
15572123277
hex3447fb260

14034121312 has 48 divisors (see below), whose sum is σ = 28468413792. Its totient is φ = 6805278720.

The previous prime is 14034121271. The next prime is 14034121319. The reversal of 14034121312 is 21312143041.

14034121312 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 not an unprimeable number, because it can be changed into a prime (14034121319) 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 7 ways as a sum of consecutive naturals, for example, 349168 + ... + 387280.

It is an arithmetic number, because the mean of its divisors is an integer number (593091954).

Almost surely, 214034121312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14034121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234206896).

14034121312 is an abundant number, since it is smaller than the sum of its proper divisors (14434292480).

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

14034121312 is a wasteful number, since it uses less digits than its factorization.

14034121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38471 (or 38463 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 14034121312 its reverse (21312143041), we get a palindrome (35346264353).

The spelling of 14034121312 in words is "fourteen billion, thirty-four million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 37 74 148 296 311 592 622 1184 1244 2488 4976 9952 11507 23014 38113 46028 76226 92056 152452 184112 304904 368224 609808 1219616 1410181 2820362 5640724 11281448 11853143 22562896 23706286 45125792 47412572 94825144 189650288 379300576 438566291 877132582 1754265164 3508530328 7017060656 14034121312