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11120442444 = 22327311813583
BaseRepresentation
bin10100101101101010…
…00111110001001100
31001201000002000012200
422112311013301030
5140233313124234
65035245401500
7542401125666
oct122665076114
931630060180
1011120442444
114797222001
1221a4269290
131082b77a77
14776ca3536
15451430d99
hex296d47c4c

11120442444 has 72 divisors (see below), whose sum is σ = 28527163392. Its totient is φ = 3651920640.

The previous prime is 11120442409. The next prime is 11120442449. The reversal of 11120442444 is 44424402111.

It is a happy number.

11120442444 is a `hidden beast` number, since 1 + 11 + 204 + 4 + 2 + 444 = 666.

11120442444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11120442449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3101877 + ... + 3105459.

Almost surely, 211120442444 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 11120442444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14263581696).

11120442444 is an abundant number, since it is smaller than the sum of its proper divisors (17406720948).

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

11120442444 is a wasteful number, since it uses less digits than its factorization.

11120442444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 11120442444 its reverse (44424402111), we get a palindrome (55544844555).

The spelling of 11120442444 in words is "eleven billion, one hundred twenty million, four hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1181 1314 2362 2628 3543 3583 4724 7086 7166 10629 10749 14172 14332 21258 21498 32247 42516 42996 64494 86213 128988 172426 258639 261559 344852 517278 523118 775917 784677 1034556 1046236 1551834 1569354 2354031 3103668 3138708 4231523 4708062 8463046 9416124 12694569 16926092 25389138 38083707 50778276 76167414 152334828 308901179 617802358 926703537 1235604716 1853407074 2780110611 3706814148 5560221222 11120442444