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134523325431 = 32118337343891
BaseRepresentation
bin111110101001000110…
…1110000101111110111
3110212020011100222121100
41331102031300233313
54201000432403211
6141444341421143
712501420254025
oct1752215605767
9425204328540
10134523325431
1152061a01510
12220a370a7b3
13c8bb057261
146722127715
15377500d156
hex1f52370bf7

134523325431 has 48 divisors (see below), whose sum is σ = 215110127232. Its totient is φ = 80329233600.

The previous prime is 134523325429. The next prime is 134523325439.

134523325431 is a `hidden beast` number, since 1 + 34 + 52 + 3 + 32 + 543 + 1 = 666.

134523325431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134523325431 - 21 = 134523325429 is a prime.

It is a super-2 number, since 2×1345233254312 (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 (134523325439) 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 47 ways as a sum of consecutive naturals, for example, 3042996 + ... + 3086886.

It is an arithmetic number, because the mean of its divisors is an integer number (4481460984).

Almost surely, 2134523325431 is an apocalyptic number.

134523325431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134523325431 is a deficient number, since it is larger than the sum of its proper divisors (80586801801).

134523325431 is a wasteful number, since it uses less digits than its factorization.

134523325431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44364 (or 44361 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 134523 and 325431, that added together give a palindrome (459954).

The spelling of 134523325431 in words is "one hundred thirty-four billion, five hundred twenty-three million, three hundred twenty-five thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 83 99 249 373 747 913 1119 2739 3357 4103 8217 12309 30959 36927 43891 92877 131673 278631 340549 395019 482801 1021647 1448403 3064941 3642953 4345209 10928859 16371343 32786577 40072483 49114029 120217449 147342087 180084773 360652347 540254319 1358821469 1620762957 4076464407 12229393221 14947036159 44841108477 134523325431