Search a number
-
+
134613316431 = 321111312033013
BaseRepresentation
bin111110101011110010…
…1000011001101001111
3110212110102201000001100
41331113211003031033
54201142002111211
6141501314314143
712503562211326
oct1752745031517
9425412630040
10134613316431
11520a8787040
1222109888953
13c9038a5079
1467300710bd
15377cd87156
hex1f5794334f

134613316431 has 24 divisors (see below), whose sum is σ = 213995120976. Its totient is φ = 80861840640.

The previous prime is 134613316403. The next prime is 134613316489.

134613316431 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 1 + 3 + 3 + 1 + 643 + 1 = 666.

134613316431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134613316431 - 25 = 134613316399 is a prime.

It is a super-2 number, since 2×1346133164312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134613316031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6005320 + ... + 6027693.

It is an arithmetic number, because the mean of its divisors is an integer number (8916463374).

Almost surely, 2134613316431 is an apocalyptic number.

134613316431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134613316431 is a deficient number, since it is larger than the sum of its proper divisors (79381804545).

134613316431 is a wasteful number, since it uses less digits than its factorization.

134613316431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12033143 (or 12033140 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 134613316431 in words is "one hundred thirty-four billion, six hundred thirteen million, three hundred sixteen thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 113 339 1017 1243 3729 11187 12033013 36099039 108297117 132363143 397089429 1191268287 1359730469 4079191407 12237574221 14957035159 44871105477 134613316431