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13234442410053 = 321131572527941
BaseRepresentation
bin1100000010010110001000…
…1111010001100001000101
31201212012102001020221002200
43000211202033101201011
53213313114224110203
644051452515025113
72534104551246144
oct300454217214105
951765361227080
1013234442410053
1142427717a0397
121598b0bb9b199
13750005831187
1433a79c54975b
1517e3d17499a3
hexc09623d1845

13234442410053 has 36 divisors (see below), whose sum is σ = 19409245961508. Its totient is φ = 8689165954560.

The previous prime is 13234442410003. The next prime is 13234442410093. The reversal of 13234442410053 is 35001424443231.

13234442410053 is a `hidden beast` number, since 1 + 3 + 234 + 4 + 4 + 2 + 410 + 0 + 5 + 3 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 947784025764 + 12286658384289 = 973542^2 + 3505233^2 .

It is not a de Polignac number, because 13234442410053 - 29 = 13234442409541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13234442410003) 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 35 ways as a sum of consecutive naturals, for example, 24804063 + ... + 25332003.

It is an arithmetic number, because the mean of its divisors is an integer number (539145721153).

Almost surely, 213234442410053 is an apocalyptic number.

It is an amenable number.

13234442410053 is a deficient number, since it is larger than the sum of its proper divisors (6174803551455).

13234442410053 is a wasteful number, since it uses less digits than its factorization.

13234442410053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528374 (or 528214 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 13234442410053 its reverse (35001424443231), we get a palindrome (48235866853284).

The spelling of 13234442410053 in words is "thirteen trillion, two hundred thirty-four billion, four hundred forty-two million, four hundred ten thousand, fifty-three".

Divisors: 1 3 9 113 157 339 471 1017 1413 17741 24649 53223 73947 159669 221841 527941 1583823 2785337 4751469 8356011 25068033 59657333 82886737 178971999 248660211 536915997 745980633 9366201281 13013217709 28098603843 39039653127 84295811529 117118959381 1470493601117 4411480803351 13234442410053