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131344034033034 = 23217538098657913
BaseRepresentation
bin11101110111010011101010…
…011111011110110110001010
3122020001100220120011101111100
4131313103222133132312022
5114203420040203024114
61143202341035442230
736444202414404204
oct3567235237366612
9566040816141440
10131344034033034
1138939768097159
121289342b2b6376
1358398c640b174
1424611299a7774
15102b85e1ee909
hex7774ea7ded8a

131344034033034 has 48 divisors (see below), whose sum is σ = 307003924203912. Its totient is φ = 40428500296704.

The previous prime is 131344034033021. The next prime is 131344034033053. The reversal of 131344034033034 is 430330430443131.

131344034033034 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 4 + 0 + 340 + 3 + 303 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129949398216225 + 1394635816809 = 11399535^2 + 1180947^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131344034033034.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4049312739 + ... + 4049345174.

Almost surely, 2131344034033034 is an apocalyptic number.

131344034033034 is an abundant number, since it is smaller than the sum of its proper divisors (175659890170878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131344034033034 is a wasteful number, since it uses less digits than its factorization.

131344034033034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8098657991 (or 8098657988 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 131344034033034 its reverse (430330430443131), we get a palindrome (561674464476165).

The spelling of 131344034033034 in words is "one hundred thirty-one trillion, three hundred forty-four billion, thirty-four million, thirty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 53 102 106 153 159 306 318 477 901 954 1802 2703 5406 8109 16218 8098657913 16197315826 24295973739 48591947478 72887921217 137677184521 145775842434 275354369042 413031553563 429228869389 826063107126 858457738778 1239094660689 1287686608167 2478189321378 2575373216334 3863059824501 7296890779613 7726119649002 14593781559226 21890672338839 43781344677678 65672017016517 131344034033034