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44305140000 = 253541167129
BaseRepresentation
bin101001010000110010…
…101100100100100000
311020100200221022100010
4221100302230210200
51211214103440000
632204204524520
73125631322242
oct512062544440
9136320838303
1044305140000
1117876107490
128705850740
134240c81494
142204272092
151244933d50
hexa50cac920

44305140000 has 240 divisors, whose sum is σ = 158543874720. Its totient is φ = 10740480000.

The previous prime is 44305139971. The next prime is 44305140001. The reversal of 44305140000 is 4150344.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (44305140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 626436 + ... + 693564.

It is an arithmetic number, because the mean of its divisors is an integer number (660599478).

Almost surely, 244305140000 is an apocalyptic number.

44305140000 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 44305140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79271937360).

44305140000 is an abundant number, since it is smaller than the sum of its proper divisors (114238734720).

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

44305140000 is a wasteful number, since it uses less digits than its factorization.

44305140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67173 (or 67150 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 44305140000 its reverse (4150344), we get a palindrome (44309290344).

The spelling of 44305140000 in words is "forty-four billion, three hundred five million, one hundred forty thousand".