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44459012416 = 267313831877
BaseRepresentation
bin101001011001111101…
…101011000101000000
311020202102110211121111
4221121331223011000
51212023001344131
632231342533104
73132510241000
oct513175530500
9136672424544
1044459012416
1117944a54075
128749297194
134266b07b50
14221a888000
1512531caab1
hexa59f6b140

44459012416 has 224 divisors, whose sum is σ = 112193222400. Its totient is φ = 17367017472.

The previous prime is 44459012407. The next prime is 44459012417. The reversal of 44459012416 is 61421095444.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44459012417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23685270 + ... + 23687146.

It is an arithmetic number, because the mean of its divisors is an integer number (500862600).

Almost surely, 244459012416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44459012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56096611200).

44459012416 is an abundant number, since it is smaller than the sum of its proper divisors (67734209984).

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

44459012416 is a wasteful number, since it uses less digits than its factorization.

44459012416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 44459012416 in words is "forty-four billion, four hundred fifty-nine million, twelve thousand, four hundred sixteen".