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13044240301311 = 324135350244719
BaseRepresentation
bin1011110111010001100101…
…0011110011110011111111
31201012000110112102200122200
42331310121103303303333
53202204101004120221
643424235151442543
72514262302064602
oct275643123636377
951160415380580
1013044240301311
11417a03865098a
121568089826453
137380b33873bb
143314b781a339
1517949d55e426
hexbdd194f3cff

13044240301311 has 12 divisors (see below), whose sum is σ = 19301233617120. Its totient is φ = 8484058732320.

The previous prime is 13044240301291. The next prime is 13044240301331. The reversal of 13044240301311 is 11310304244031.

13044240301311 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 4 + 2 + 40 + 301 + 311 = 666.

It is an interprime number because it is at equal distance from previous prime (13044240301291) and next prime (13044240301331).

It is not a de Polignac number, because 13044240301311 - 214 = 13044240284927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044240301331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17675121991 + ... + 17675122728.

It is an arithmetic number, because the mean of its divisors is an integer number (1608436134760).

Almost surely, 213044240301311 is an apocalyptic number.

13044240301311 is a deficient number, since it is larger than the sum of its proper divisors (6256993315809).

13044240301311 is a wasteful number, since it uses less digits than its factorization.

13044240301311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35350244766 (or 35350244763 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13044240301311 its reverse (11310304244031), we get a palindrome (24354544545342).

The spelling of 13044240301311 in words is "thirteen trillion, forty-four billion, two hundred forty million, three hundred one thousand, three hundred eleven".

Divisors: 1 3 9 41 123 369 35350244719 106050734157 318152202471 1449360033479 4348080100437 13044240301311