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44302789440 = 263257213193141
BaseRepresentation
bin101001010000101001…
…101110101101000000
311020100112111212222100
4221100221232231000
51211213003230230
632204042310400
73125602332300
oct512051565500
9136315455870
1044302789440
1117874851478
128704ab8400
13424063a610
142203c1d600
15124461c660
hexa50a6eb40

44302789440 has 2016 divisors, whose sum is σ = 212486077440. Its totient is φ = 8360755200.

The previous prime is 44302789417. The next prime is 44302789469. The reversal of 44302789440 is 4498720344.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1080555820 + ... + 1080555860.

It is an arithmetic number, because the mean of its divisors is an integer number (105399840).

Almost surely, 244302789440 is an apocalyptic number.

44302789440 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 44302789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243038720).

44302789440 is an abundant number, since it is smaller than the sum of its proper divisors (168183288000).

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

44302789440 is a wasteful number, since it uses less digits than its factorization.

44302789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 44302789440 in words is "forty-four billion, three hundred two million, seven hundred eighty-nine thousand, four hundred forty".