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135053433441 = 3215005937049
BaseRepresentation
bin111110111000111001…
…1111101101001100001
3110220121002212021002100
41331301303331221201
54203042134332231
6142013115441013
712520515146313
oct1756163755141
9426532767070
10135053433441
1152304162503
1222211156169
13c973b21534
1467726b97b3
1537a68221e6
hex1f71cfda61

135053433441 has 6 divisors (see below), whose sum is σ = 195077181650. Its totient is φ = 90035622288.

The previous prime is 135053433433. The next prime is 135053433469. The reversal of 135053433441 is 144334350531.

135053433441 is a `hidden beast` number, since 1 + 3 + 50 + 534 + 3 + 34 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130697433441 + 4356000000 = 361521^2 + 66000^2 .

It is not a de Polignac number, because 135053433441 - 23 = 135053433433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135053433396 and 135053433405.

It is not an unprimeable number, because it can be changed into a prime (135053433941) 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 5 ways as a sum of consecutive naturals, for example, 7502968516 + ... + 7502968533.

Almost surely, 2135053433441 is an apocalyptic number.

It is an amenable number.

135053433441 is a deficient number, since it is larger than the sum of its proper divisors (60023748209).

135053433441 is a wasteful number, since it uses less digits than its factorization.

135053433441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15005937055 (or 15005937052 counting only the distinct ones).

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

Adding to 135053433441 its reverse (144334350531), we get a palindrome (279387783972).

The spelling of 135053433441 in words is "one hundred thirty-five billion, fifty-three million, four hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 9 15005937049 45017811147 135053433441