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11244224404 = 2272965921013
BaseRepresentation
bin10100111100011010…
…10011111110010100
31002000121222210010201
422132031103332110
5141012010140104
65055430430244
7545433221230
oct123615237624
932017883121
1011244224404
114850087246
122219802384
1310a26c722a
147894c55c0
1545c2320a4
hex29e353f94

11244224404 has 48 divisors (see below), whose sum is σ = 23300323200. Its totient is φ = 4645501056.

The previous prime is 11244224351. The next prime is 11244224417. The reversal of 11244224404 is 40442244211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524602 + ... + 545614.

It is an arithmetic number, because the mean of its divisors is an integer number (485423400).

Almost surely, 211244224404 is an apocalyptic number.

11244224404 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 11244224404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11650161600).

11244224404 is an abundant number, since it is smaller than the sum of its proper divisors (12056098796).

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

11244224404 is a wasteful number, since it uses less digits than its factorization.

11244224404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21712 (or 21710 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 11244224404 its reverse (40442244211), we get a palindrome (51686468615).

The spelling of 11244224404 in words is "eleven billion, two hundred forty-four million, two hundred twenty-four thousand, four hundred four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 659 812 1318 2636 4613 9226 18452 19111 21013 38222 42026 76444 84052 133777 147091 267554 294182 535108 588364 609377 1218754 2437508 4265639 8531278 13847567 17062556 27695134 55390268 96932969 193865938 387731876 401579443 803158886 1606317772 2811056101 5622112202 11244224404