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11044131840 = 2103357101113
BaseRepresentation
bin10100100100100100…
…00001010000000000
31001111200111000202000
422102102001100000
5140104244204330
65023522024000
7540453400050
oct122222012000
931450430660
1011044131840
114758140795
1221827a8000
131070109a71
1476aabb560
154498aa560
hex292481400

11044131840 has 704 divisors, whose sum is σ = 45700830720. Its totient is φ = 2477260800.

The previous prime is 11044131817. The next prime is 11044131853. The reversal of 11044131840 is 4813144011.

11044131840 is a `hidden beast` number, since 110 + 441 + 31 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97735624 + ... + 97735736.

Almost surely, 211044131840 is an apocalyptic number.

11044131840 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 11044131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22850415360).

11044131840 is an abundant number, since it is smaller than the sum of its proper divisors (34656698880).

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

11044131840 is a wasteful number, since it uses less digits than its factorization.

11044131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11044131840 its reverse (4813144011), we get a palindrome (15857275851).

It can be divided in two parts, 11044 and 131840, that added together give a square (142884 = 3782).

The spelling of 11044131840 in words is "eleven billion, forty-four million, one hundred thirty-one thousand, eight hundred forty".