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11044344400 = 245244362327
BaseRepresentation
bin10100100100100101…
…10101001001010000
31001111200212211022121
422102102311021100
5140104323010100
65023530344024
7540455243545
oct122222651120
931450784277
1011044344400
114758276461
12218288b014
13107018273b
1476ab34bcc
154498ed51a
hex2924b5250

11044344400 has 60 divisors (see below), whose sum is σ = 26594360352. Its totient is φ = 4407694720.

The previous prime is 11044344391. The next prime is 11044344439. The reversal of 11044344400 is 444344011.

It is a happy number.

It is a super-2 number, since 2×110443444002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 146037 + ... + 208363.

Almost surely, 211044344400 is an apocalyptic number.

11044344400 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 11044344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13297180176).

11044344400 is an abundant number, since it is smaller than the sum of its proper divisors (15550015952).

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

11044344400 is a wasteful number, since it uses less digits than its factorization.

11044344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62788 (or 62777 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 11044344400 its reverse (444344011), we get a palindrome (11488688411).

The spelling of 11044344400 in words is "eleven billion, forty-four million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 443 886 1772 2215 3544 4430 7088 8860 11075 17720 22150 35440 44300 62327 88600 124654 177200 249308 311635 498616 623270 997232 1246540 1558175 2493080 3116350 4986160 6232700 12465400 24930800 27610861 55221722 110443444 138054305 220886888 276108610 441773776 552217220 690271525 1104434440 1380543050 2208868880 2761086100 5522172200 11044344400