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41440834944 = 2732198322811
BaseRepresentation
bin100110100110000100…
…001111010110000000
310221222002020112110200
4212212010033112000
51134332323204234
631012044525200
72664641166525
oct464604172600
9127862215420
1041440834944
11166362a8723
128046550800
133ba572a912
142011aad14c
151128245d99
hex9a610f580

41440834944 has 192 divisors, whose sum is σ = 127044590400. Its totient is φ = 12928343040.

The previous prime is 41440834943. The next prime is 41440834969. The reversal of 41440834944 is 44943804414.

41440834944 is a `hidden beast` number, since 41 + 4 + 40 + 83 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 41440834944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41440834943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1805299 + ... + 1828109.

It is an arithmetic number, because the mean of its divisors is an integer number (661690575).

Almost surely, 241440834944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41440834944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63522295200).

41440834944 is an abundant number, since it is smaller than the sum of its proper divisors (85603755456).

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

41440834944 is a wasteful number, since it uses less digits than its factorization.

41440834944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22933 (or 22918 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 41440834944 in words is "forty-one billion, four hundred forty million, eight hundred thirty-four thousand, nine hundred forty-four".