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41132323134 = 23272283164789
BaseRepresentation
bin100110010011101011…
…010111000100111110
310221011120201111211100
4212103223113010332
51133214333320014
630521304233530
72654203656300
oct462353270476
9127146644740
1041132323134
1116498140191
127b7b16b8a6
133b5683c756
141dc2b21970
15110b105009
hex993ad713e

41132323134 has 72 divisors (see below), whose sum is σ = 104037200280. Its totient is φ = 11710494432.

The previous prime is 41132323097. The next prime is 41132323163. The reversal of 41132323134 is 43132323114.

It is a happy number.

41132323134 is a `hidden beast` number, since 4 + 113 + 232 + 313 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41132323098 and 41132323107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 167212 + ... + 332000.

It is an arithmetic number, because the mean of its divisors is an integer number (1444961115).

Almost surely, 241132323134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41132323134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52018600140).

41132323134 is an abundant number, since it is smaller than the sum of its proper divisors (62904877146).

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

41132323134 is a wasteful number, since it uses less digits than its factorization.

41132323134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165094 (or 165084 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 41132323134 its reverse (43132323114), we get a palindrome (84264646248).

The spelling of 41132323134 in words is "forty-one billion, one hundred thirty-two million, three hundred twenty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 283 294 441 566 849 882 1698 1981 2547 3962 5094 5943 11886 13867 17829 27734 35658 41601 83202 124803 164789 249606 329578 494367 988734 1153523 1483101 2307046 2966202 3460569 6921138 8074661 10381707 16149322 20763414 24223983 46635287 48447966 72671949 93270574 139905861 145343898 279811722 326447009 419717583 652894018 839435166 979341027 1958682054 2285129063 2938023081 4570258126 5876046162 6855387189 13710774378 20566161567 41132323134