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11214414324 = 2232311511509
BaseRepresentation
bin10100111000110111…
…00110000111110100
31001221112220021101200
422130123212013310
5140431342224244
65052443452500
7544621643331
oct123433460764
931845807350
1011214414324
114835276513
12220b827130
13109948a829
14785565988
154597e4669
hex29c6e61f4

11214414324 has 18 divisors (see below), whose sum is σ = 28347547410. Its totient is φ = 3738138096.

The previous prime is 11214414311. The next prime is 11214414329. The reversal of 11214414324 is 42341441211.

11214414324 is a `hidden beast` number, since 1 + 1 + 214 + 414 + 32 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11119702500 + 94711824 = 105450^2 + 9732^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11214414329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 155755719 + ... + 155755790.

It is an arithmetic number, because the mean of its divisors is an integer number (1574863745).

Almost surely, 211214414324 is an apocalyptic number.

It is an amenable number.

11214414324 is an abundant number, since it is smaller than the sum of its proper divisors (17133133086).

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

11214414324 is a wasteful number, since it uses less digits than its factorization.

11214414324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311511519 (or 311511514 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 11214414324 its reverse (42341441211), we get a palindrome (53555855535).

The spelling of 11214414324 in words is "eleven billion, two hundred fourteen million, four hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 311511509 623023018 934534527 1246046036 1869069054 2803603581 3738138108 5607207162 11214414324