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11013440000 = 2954127271
BaseRepresentation
bin10100100000111001…
…11100001000000000
31001102112201201110012
422100130330020000
5140023420040000
65020504124052
7536631460343
oct122034741000
931375651405
1011013440000
114741888532
122174466628
131066951c04
147669ac45a
15446d46735
hex29073c200

11013440000 has 200 divisors, whose sum is σ = 27816695808. Its totient is φ = 4354560000.

The previous prime is 11013439999. The next prime is 11013440051. The reversal of 11013440000 is 4431011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40639865 + ... + 40640135.

Almost surely, 211013440000 is an apocalyptic number.

11013440000 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 11013440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13908347904).

11013440000 is an abundant number, since it is smaller than the sum of its proper divisors (16803255808).

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

11013440000 is an frugal number, since it uses more digits than its factorization.

11013440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11013440000 its reverse (4431011), we get a palindrome (11017871011).

The spelling of 11013440000 in words is "eleven billion, thirteen million, four hundred forty thousand".