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11444410404 = 2233731721069
BaseRepresentation
bin10101010100010001…
…11101100000100100
31002112120200021201000
422222020331200210
5141414232113104
65131341233300
7553413612000
oct125210754044
932476607630
1011444410404
114943086a19
122274862830
13110501809b
147a7d15700
1546eac6639
hex2aa23d824

11444410404 has 288 divisors, whose sum is σ = 36790880000. Its totient is φ = 3074609664.

The previous prime is 11444410349. The next prime is 11444410427. The reversal of 11444410404 is 40401444411.

11444410404 is a `hidden beast` number, since 114 + 444 + 104 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10705182 + ... + 10706250.

Almost surely, 211444410404 is an apocalyptic number.

11444410404 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 11444410404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18395440000).

11444410404 is an abundant number, since it is smaller than the sum of its proper divisors (25346469596).

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

11444410404 is a wasteful number, since it uses less digits than its factorization.

11444410404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1098 counting only the distinct ones).

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

Adding to 11444410404 its reverse (40401444411), we get a palindrome (51845854815).

The spelling of 11444410404 in words is "eleven billion, four hundred forty-four million, four hundred ten thousand, four hundred four".