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41400865674 = 2327223289997
BaseRepresentation
bin100110100011101011…
…110001001110001010
310221212022000212221100
4212203223301032022
51134242110200144
631004100122230
72663644360200
oct464353611612
9127768025840
1041400865674
1116615789173
128035096376
133b9a37506c
14200a667070
15112499d269
hex9a3af138a

41400865674 has 216 divisors, whose sum is σ = 110417432580. Its totient is φ = 11176171776.

The previous prime is 41400865673. The next prime is 41400865679. The reversal of 41400865674 is 47656800414.

41400865674 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 0 + 86 + 567 + 4 = 666.

41400865674 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41348375649 + 52490025 = 203343^2 + 7245^2 .

It is not an unprimeable number, because it can be changed into a prime (41400865673) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 41524944 + ... + 41525940.

Almost surely, 241400865674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41400865674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55208716290).

41400865674 is an abundant number, since it is smaller than the sum of its proper divisors (69016566906).

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

41400865674 is a wasteful number, since it uses less digits than its factorization.

41400865674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

It can be divided in two parts, 4140086 and 5674, that added together give a triangular number (4145760 = T2879).

The spelling of 41400865674 in words is "forty-one billion, four hundred million, eight hundred sixty-five thousand, six hundred seventy-four".