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44959703040 = 2133257219131
BaseRepresentation
bin101001110111110011…
…101010000000000000
311022001022121120000200
4221313303222000000
51214034140444130
632353150245200
73151100112300
oct516763520000
9138038546020
1044959703040
111808164237a
128868ab6800
1343167723a5
14226717d600
15128212d760
hexa77cea000

44959703040 has 1008 divisors, whose sum is σ = 192294479520. Its totient is φ = 9661317120.

The previous prime is 44959703029. The next prime is 44959703099. The reversal of 44959703040 is 4030795944.

It is a happy number.

44959703040 is a `hidden beast` number, since 4 + 495 + 97 + 0 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 343203775 + ... + 343203905.

Almost surely, 244959703040 is an apocalyptic number.

44959703040 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 44959703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96147239760).

44959703040 is an abundant number, since it is smaller than the sum of its proper divisors (147334776480).

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

44959703040 is a wasteful number, since it uses less digits than its factorization.

44959703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 44959703040 in words is "forty-four billion, nine hundred fifty-nine million, seven hundred three thousand, forty".