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44434050495840 = 253556734749157
BaseRepresentation
bin10100001101001100110111…
…10010111011010101100000
312211022212001101012111100000
422012212123302323111200
521311001413411331330
6234300415422500000
712234153123304365
oct1206463362732540
9184285041174300
1044434050495840
1113181414125595
124b97749734600
131ba41612b8005
14ad8895d6246c
15520c71ae6560
hex28699bcbb560

44434050495840 has 576 divisors, whose sum is σ = 160057321691904. Its totient is φ = 11638353881088.

The previous prime is 44434050495839. The next prime is 44434050495911. The reversal of 44434050495840 is 4859405043444.

44434050495840 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 4 + 0 + 50 + 4 + 9 + 584 + 0 = 666.

44434050495840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 903896542 + ... + 903945698.

It is an arithmetic number, because the mean of its divisors is an integer number (277877294604).

Almost surely, 244434050495840 is an apocalyptic number.

44434050495840 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 44434050495840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80028660845952).

44434050495840 is an abundant number, since it is smaller than the sum of its proper divisors (115623271196064).

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

44434050495840 is a wasteful number, since it uses less digits than its factorization.

44434050495840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49601 (or 49581 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 44434050495840 in words is "forty-four trillion, four hundred thirty-four billion, fifty million, four hundred ninety-five thousand, eight hundred forty".