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14434120261341 = 3211145799194559
BaseRepresentation
bin1101001000001011010010…
…0111000101111011011101
31220002212222122210012010100
43102002310213011323131
53342442034241330331
650410535430531313
73016554645604134
oct322026447057335
956085878705110
1014434120261341
114665526655380
121751519806b39
13809193464931
1437c887d7691b
151a06e7eedae6
hexd20b49c5edd

14434120261341 has 12 divisors (see below), whose sum is σ = 22744674351360. Its totient is φ = 8747951673480.

The previous prime is 14434120261333. The next prime is 14434120261367. The reversal of 14434120261341 is 14316202143441.

It is a happy number.

14434120261341 is a `hidden beast` number, since 1 + 4 + 4 + 34 + 1 + 2 + 0 + 2 + 613 + 4 + 1 = 666.

It is not a de Polignac number, because 14434120261341 - 23 = 14434120261333 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14434120261296 and 14434120261305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434120261391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72899597181 + ... + 72899597378.

It is an arithmetic number, because the mean of its divisors is an integer number (1895389529280).

Almost surely, 214434120261341 is an apocalyptic number.

14434120261341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14434120261341 is a deficient number, since it is larger than the sum of its proper divisors (8310554090019).

14434120261341 is a wasteful number, since it uses less digits than its factorization.

14434120261341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145799194576 (or 145799194573 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 14434120261341 in words is "fourteen trillion, four hundred thirty-four billion, one hundred twenty million, two hundred sixty-one thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 99 145799194559 437397583677 1312192751031 1603791140149 4811373420447 14434120261341