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41518135135134 = 23272911362379621
BaseRepresentation
bin10010111000010101100011…
…01100100100101110011110
312110000002120020000110121200
421130022301230210232132
520420213120043311014
6224145100140540330
711513405043553260
oct1134126154445636
9173002506013550
1041518135135134
11122578189a9949
1247a65ab5516a6
131a221b2c07558
14a376ba4abb30
154beeae264a09
hex25c2b1b24b9e

41518135135134 has 48 divisors (see below), whose sum is σ = 106351873261920. Its totient is φ = 11453278656960.

The previous prime is 41518135135123. The next prime is 41518135135153. The reversal of 41518135135134 is 43153153181514.

It is a happy number.

41518135135134 is a `hidden beast` number, since 4 + 1 + 5 + 1 + 81 + 3 + 51 + 3 + 513 + 4 = 666.

41518135135134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41518135135134.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5681186157 + ... + 5681193464.

It is an arithmetic number, because the mean of its divisors is an integer number (2215664026290).

Almost surely, 241518135135134 is an apocalyptic number.

41518135135134 is an abundant number, since it is smaller than the sum of its proper divisors (64833738126786).

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

41518135135134 is a wasteful number, since it uses less digits than its factorization.

41518135135134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11362379665 (or 11362379662 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 41518135135134 in words is "forty-one trillion, five hundred eighteen billion, one hundred thirty-five million, one hundred thirty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 11362379621 22724759242 34087138863 68174277726 79536657347 102261416589 159073314694 204522833178 238609972041 329509009009 477219944082 659018018018 715829916123 988527027027 1431659832246 1977054054054 2306563063063 2965581081081 4613126126126 5931162162162 6919689189189 13839378378378 20759067567567 41518135135134