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44000004000 = 253538294423
BaseRepresentation
bin101000111110100110…
…101100011110100000
311012120102202210102210
4220332212230132200
51210103000112000
632114024442120
73115234602021
oct507646543640
9135512683383
1044000004000
1117729945277
12863b619340
1341c29a5a34
1421b5922c48
151227c5d350
hexa3e9ac7a0

44000004000 has 192 divisors, whose sum is σ = 144350519040. Its totient is φ = 11716531200.

The previous prime is 44000003987. The next prime is 44000004017. The reversal of 44000004000 is 40000044.

44000004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9945789 + ... + 9950211.

It is an arithmetic number, because the mean of its divisors is an integer number (751825620).

Almost surely, 244000004000 is an apocalyptic number.

44000004000 is a gapful number since it is divisible by the number (40) 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 44000004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72175259520).

44000004000 is an abundant number, since it is smaller than the sum of its proper divisors (100350515040).

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

44000004000 is a wasteful number, since it uses less digits than its factorization.

44000004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 44000004000 its reverse (40000044), we get a palindrome (44040004044).

The spelling of 44000004000 in words is "forty-four billion, four thousand", and thus it is an eban number.