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411135444 = 223211420429
BaseRepresentation
bin11000100000010…
…110110111010100
31001122121211210200
4120200112313110
51320222313234
6104444020500
713121410416
oct3040266724
91048554720
10411135444
111a1091165
12b5831730
136723cc15
143c8629b6
1526162d99
hex18816dd4

411135444 has 18 divisors (see below), whose sum is σ = 1039259130. Its totient is φ = 137045136.

The previous prime is 411135443. The next prime is 411135479. The reversal of 411135444 is 444531114.

411135444 is a `hidden beast` number, since 4 + 1 + 113 + 544 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 262051344 + 149084100 = 16188^2 + 12210^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411135443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5710179 + ... + 5710250.

Almost surely, 2411135444 is an apocalyptic number.

It is an amenable number.

411135444 is an abundant number, since it is smaller than the sum of its proper divisors (628123686).

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

411135444 is a wasteful number, since it uses less digits than its factorization.

411135444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11420439 (or 11420434 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 411135444 is about 20276.4751374592. The cubic root of 411135444 is about 743.5810379646.

Adding to 411135444 its reverse (444531114), we get a palindrome (855666558).

The spelling of 411135444 in words is "four hundred eleven million, one hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 11420429 22840858 34261287 45681716 68522574 102783861 137045148 205567722 411135444