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11242140224 = 26752347981
BaseRepresentation
bin10100111100001010…
…10111001001000000
31002000111001220011212
422132011113021000
5141010441441344
65055314025252
7545406421010
oct123605271100
932014056155
1011242140224
114849993387
122218b78228
1310a21476a3
14789101c40
1545be6e79e
hex29e157240

11242140224 has 56 divisors (see below), whose sum is σ = 25544849088. Its totient is φ = 4808747520.

The previous prime is 11242140223. The next prime is 11242140277. The reversal of 11242140224 is 42204124211.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 11242140224.

It is not an unprimeable number, because it can be changed into a prime (11242140223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210314 + ... + 258294.

Almost surely, 211242140224 is an apocalyptic number.

11242140224 is a gapful number since it is divisible by the number (14) 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 11242140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12772424544).

11242140224 is an abundant number, since it is smaller than the sum of its proper divisors (14302708864).

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

11242140224 is an equidigital number, since it uses as much as digits as its factorization.

11242140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48523 (or 48513 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 11242140224 its reverse (42204124211), we get a palindrome (53446264435).

The spelling of 11242140224 in words is "eleven billion, two hundred forty-two million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 523 1046 2092 3661 4184 7322 8368 14644 16736 29288 33472 47981 58576 95962 117152 191924 234304 335867 383848 671734 767696 1343468 1535392 2686936 3070784 5373872 10747744 21495488 25094063 50188126 100376252 175658441 200752504 351316882 401505008 702633764 803010016 1405267528 1606020032 2810535056 5621070112 11242140224