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44941421184 = 2731123141761
BaseRepresentation
bin101001110110101101…
…111010101010000000
311022000001012202000220
4221312231322222000
51214020000434214
632351254343040
73150455530362
oct516655725200
9138001182026
1044941421184
1118072295a00
12886295aa80
134312a4101a
142264980d32
15128071b9a9
hexa76b7aa80

44941421184 has 384 divisors, whose sum is σ = 138933204480. Its totient is φ = 12840960000.

The previous prime is 44941421137. The next prime is 44941421243. The reversal of 44941421184 is 48112414944.

44941421184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59055364 + ... + 59056124.

It is an arithmetic number, because the mean of its divisors is an integer number (361805220).

Almost surely, 244941421184 is an apocalyptic number.

44941421184 is a gapful number since it is divisible by the number (44) 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 44941421184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69466602240).

44941421184 is an abundant number, since it is smaller than the sum of its proper divisors (93991783296).

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

44941421184 is a wasteful number, since it uses less digits than its factorization.

44941421184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 849 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The spelling of 44941421184 in words is "forty-four billion, nine hundred forty-one million, four hundred twenty-one thousand, one hundred eighty-four".