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41740011984 = 243111937139809
BaseRepresentation
bin100110110111111001…
…100000100111010000
310222201221012022012210
4212313321200213100
51140440420340414
631101453152120
73005233151016
oct466771404720
9128657168183
1041740011984
111677a16a880
12810a78b640
133c226cac58
14203d70a8b6
151144640e59
hex9b7e609d0

41740011984 has 320 divisors, whose sum is σ = 128241792000. Its totient is φ = 11560734720.

The previous prime is 41740011983. The next prime is 41740011997. The reversal of 41740011984 is 48911004714.

41740011984 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 (41740011983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51594172 + ... + 51594980.

It is an arithmetic number, because the mean of its divisors is an integer number (400755600).

Almost surely, 241740011984 is an apocalyptic number.

41740011984 is a gapful number since it is divisible by the number (44) 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 41740011984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64120896000).

41740011984 is an abundant number, since it is smaller than the sum of its proper divisors (86501780016).

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

41740011984 is a wasteful number, since it uses less digits than its factorization.

41740011984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 41740011984 in words is "forty-one billion, seven hundred forty million, eleven thousand, nine hundred eighty-four".