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13142340142353 = 3216758271500613
BaseRepresentation
bin1011111100111111000010…
…0001000000010100010001
31201112101200021120221211200
42333033300201000110101
53210311003034023403
643541301355501413
72524334304012222
oct277176041002421
951471607527750
1013142340142353
1142076a9432484
1215830a7157869
13744418308b16
14336142371249
1517bce0a58ca3
hexbf3f0840511

13142340142353 has 24 divisors (see below), whose sum is σ = 19100343208128. Its totient is φ = 8707595249952.

The previous prime is 13142340142313. The next prime is 13142340142441. The reversal of 13142340142353 is 35324104324131.

13142340142353 is a `hidden beast` number, since 1 + 3 + 1 + 423 + 40 + 142 + 3 + 53 = 666.

It is not a de Polignac number, because 13142340142353 - 28 = 13142340142097 is a prime.

It is a super-2 number, since 2×131423401423532 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13142340142303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8007675 + ... + 9508287.

It is an arithmetic number, because the mean of its divisors is an integer number (795847633672).

Almost surely, 213142340142353 is an apocalyptic number.

It is an amenable number.

13142340142353 is a deficient number, since it is larger than the sum of its proper divisors (5958003065775).

13142340142353 is a wasteful number, since it uses less digits than its factorization.

13142340142353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506613 (or 1506610 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13142340142353 its reverse (35324104324131), we get a palindrome (48466444466484).

The spelling of 13142340142353 in words is "thirteen trillion, one hundred forty-two billion, three hundred forty million, one hundred forty-two thousand, three hundred fifty-three".

Divisors: 1 3 9 167 501 1503 5827 17481 52443 973109 1500613 2919327 4501839 8757981 13505517 250602371 751807113 2255421339 8744071951 26232215853 78696647559 1460260015817 4380780047451 13142340142353