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44404044000 = 2535310136637
BaseRepresentation
bin101001010110101011…
…111111000011100000
311020121121001011010020
4221112223333003200
51211414413402000
632222100433440
73131242101141
oct512653770340
9136547034106
1044404044000
1117916a1a528
1287329a8880
134258600164
142213459ac8
15124d46dba0
hexa56aff0e0

44404044000 has 192 divisors, whose sum is σ = 146911931712. Its totient is φ = 11723520000.

The previous prime is 44404043977. The next prime is 44404044017. The reversal of 44404044000 is 44040444.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1193682 + ... + 1230318.

It is an arithmetic number, because the mean of its divisors is an integer number (765166311).

Almost surely, 244404044000 is an apocalyptic number.

44404044000 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 44404044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73455965856).

44404044000 is an abundant number, since it is smaller than the sum of its proper divisors (102507887712).

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

44404044000 is a wasteful number, since it uses less digits than its factorization.

44404044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36766 (or 36748 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 44404044000 its reverse (44040444), we get a palindrome (44448084444).

The spelling of 44404044000 in words is "forty-four billion, four hundred four million, forty-four thousand".