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11444350320 = 24325132634649
BaseRepresentation
bin10101010100010001…
…01110110101110000
31002112120120020021200
422222020232311300
5141414223202240
65131340051200
7553413241554
oct125210566560
932476506250
1011444350320
114943045867
122274833b00
131104cc6930
147a7cdb864
1546eab3930
hex2aa22ed70

11444350320 has 240 divisors, whose sum is σ = 41556715200. Its totient is φ = 2805755904.

The previous prime is 11444350319. The next prime is 11444350331. The reversal of 11444350320 is 2305344411.

It is a happy number.

11444350320 is a `hidden beast` number, since 114 + 4 + 43 + 503 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2459356 + ... + 2464004.

It is an arithmetic number, because the mean of its divisors is an integer number (173152980).

Almost surely, 211444350320 is an apocalyptic number.

11444350320 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 11444350320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20778357600).

11444350320 is an abundant number, since it is smaller than the sum of its proper divisors (30112364880).

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

11444350320 is a wasteful number, since it uses less digits than its factorization.

11444350320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 11444350320 its reverse (2305344411), we get a palindrome (13749694731).

The spelling of 11444350320 in words is "eleven billion, four hundred forty-four million, three hundred fifty thousand, three hundred twenty".