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44145441560 = 235112171035209
BaseRepresentation
bin101001000111010001…
…011111101100011000
311012221120102210021002
4221013101133230120
51210402213112220
632140302004132
73121652030153
oct510721375430
9135846383232
1044145441560
11177a3a50700
128680276648
134216b6806c
1421cad80c9a
1512358dac75
hexa4745fb18

44145441560 has 192 divisors, whose sum is σ = 116744846400. Its totient is φ = 14959042560.

The previous prime is 44145441547. The next prime is 44145441569. The reversal of 44145441560 is 6514454144.

44145441560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44145441569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8472236 + ... + 8477444.

It is an arithmetic number, because the mean of its divisors is an integer number (608046075).

Almost surely, 244145441560 is an apocalyptic number.

44145441560 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 44145441560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58372423200).

44145441560 is an abundant number, since it is smaller than the sum of its proper divisors (72599404840).

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

44145441560 is a wasteful number, since it uses less digits than its factorization.

44145441560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5362 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

The spelling of 44145441560 in words is "forty-four billion, one hundred forty-five million, four hundred forty-one thousand, five hundred sixty".