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44226723840 = 2143513109127
BaseRepresentation
bin101001001100000111…
…100100000000000000
311020011020101100120220
4221030013210000000
51211034020130330
632152324103040
73123656643555
oct511407440000
9136136340526
1044226723840
1117835918242
1286a3534a80
13422a956ca0
1421d7a9ca2c
15123cae4710
hexa4c1e4000

44226723840 has 480 divisors, whose sum is σ = 155016744960. Its totient is φ = 10701766656.

The previous prime is 44226723839. The next prime is 44226723859. The reversal of 44226723840 is 4832762244.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 44226723792 and 44226723801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348241857 + ... + 348241983.

It is an arithmetic number, because the mean of its divisors is an integer number (322951552).

Almost surely, 244226723840 is an apocalyptic number.

44226723840 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 44226723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77508372480).

44226723840 is an abundant number, since it is smaller than the sum of its proper divisors (110790021120).

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

44226723840 is a wasteful number, since it uses less digits than its factorization.

44226723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 44226723840 in words is "forty-four billion, two hundred twenty-six million, seven hundred twenty-three thousand, eight hundred forty".