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11243304144 = 243417975261
BaseRepresentation
bin10100111100010011…
…10011010011010000
31002000120021000210000
422132021303103100
5141011241213034
65055355010000
7545422336242
oct123611632320
932016230700
1011243304144
11484a6088a6
122219439900
1310a24643b7
14789326092
1545c0ee599
hex29e2734d0

11243304144 has 200 divisors, whose sum is σ = 34817412168. Its totient is φ = 3490283520.

The previous prime is 11243304113. The next prime is 11243304151. The reversal of 11243304144 is 44140334211.

11243304144 is a `hidden beast` number, since 1 + 1 + 243 + 3 + 0 + 414 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4037331600 + 7205972544 = 63540^2 + 84888^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2134474 + ... + 2139734.

Almost surely, 211243304144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11243304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17408706084).

11243304144 is an abundant number, since it is smaller than the sum of its proper divisors (23574108024).

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

11243304144 is a wasteful number, since it uses less digits than its factorization.

11243304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5395 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11243304144 its reverse (44140334211), we get a palindrome (55383638355).

The spelling of 11243304144 in words is "eleven billion, two hundred forty-three million, three hundred four thousand, one hundred forty-four".