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11405053352241 = 322295533747381
BaseRepresentation
bin1010010111110111001000…
…1001110101100100110001
31111101022102202222221101100
42211331302021311210301
52443330022124232431
640131224214355013
72254662565650603
oct245756211654461
944338382887340
1011405053352241
1136a794631967a
12134246135ba69
13649651981143
142b6016927173
1514ba11a474e6
hexa5f72275931

11405053352241 has 12 divisors (see below), whose sum is σ = 16545904672180. Its totient is φ = 7570166415840.

The previous prime is 11405053352183. The next prime is 11405053352249. The reversal of 11405053352241 is 14225335050411.

11405053352241 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 50 + 533 + 52 + 24 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7826543379216 + 3578509973025 = 2797596^2 + 1891695^2 .

It is not a de Polignac number, because 11405053352241 - 226 = 11404986243377 is a prime.

It is a super-3 number, since 3×114050533522413 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11405053352196 and 11405053352205.

It is not an unprimeable number, because it can be changed into a prime (11405053352249) 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 11 ways as a sum of consecutive naturals, for example, 2766871630 + ... + 2766875751.

Almost surely, 211405053352241 is an apocalyptic number.

It is an amenable number.

11405053352241 is a deficient number, since it is larger than the sum of its proper divisors (5140851319939).

11405053352241 is a wasteful number, since it uses less digits than its factorization.

11405053352241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533747616 (or 5533747613 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 11405053352241 in words is "eleven trillion, four hundred five billion, fifty-three million, three hundred fifty-two thousand, two hundred forty-one".

Divisors: 1 3 9 229 687 2061 5533747381 16601242143 49803726429 1267228150249 3801684450747 11405053352241