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11324323440 = 24325531671777
BaseRepresentation
bin10101000101111101…
…10111011001110000
31002020012201020100200
422202332313121300
5141143011322230
65111411315200
7550425106143
oct124276673160
932205636320
1011324323440
1148913158a1
1222405abb00
1310b6190701
14795db605a
154642a5160
hex2a2fb7670

11324323440 has 240 divisors, whose sum is σ = 39002378688. Its totient is φ = 2943442944.

The previous prime is 11324323393. The next prime is 11324323453. The reversal of 11324323440 is 4432342311.

11324323440 is a `hidden beast` number, since 11 + 324 + 323 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6371832 + ... + 6373608.

Almost surely, 211324323440 is an apocalyptic number.

11324323440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11324323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19501189344).

11324323440 is an abundant number, since it is smaller than the sum of its proper divisors (27678055248).

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

11324323440 is a wasteful number, since it uses less digits than its factorization.

11324323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 11324323440 its reverse (4432342311), we get a palindrome (15756665751).

The spelling of 11324323440 in words is "eleven billion, three hundred twenty-four million, three hundred twenty-three thousand, four hundred forty".