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11044334400 = 2635211209173
BaseRepresentation
bin10100100100100101…
…10010101101000000
31001111200212022121020
422102102302231000
5140104322200100
65023530225440
7540455202441
oct122222625500
931450768536
1011044334400
1147582699a0
122182885280
13107017b018
1476ab312c8
154498ea5a0
hex2924b2b40

11044334400 has 168 divisors, whose sum is σ = 39528865824. Its totient is φ = 2677401600.

The previous prime is 11044334363. The next prime is 11044334407. The reversal of 11044334400 is 443344011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11044334407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51787 + ... + 157386.

It is an arithmetic number, because the mean of its divisors is an integer number (235290868).

Almost surely, 211044334400 is an apocalyptic number.

11044334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11044334400 is an abundant number, since it is smaller than the sum of its proper divisors (28484531424).

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

11044334400 is a wasteful number, since it uses less digits than its factorization.

11044334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209209 (or 209194 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11044334400 its reverse (443344011), we get a palindrome (11487678411).

It can be divided in two parts, 1 and 1044334400, that added together give a palindrome (1044334401).

The spelling of 11044334400 in words is "eleven billion, forty-four million, three hundred thirty-four thousand, four hundred".