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42404540544 = 2732297916067
BaseRepresentation
bin100111011111100000…
…011111000010000000
311001110020121212000200
4213133200133002000
51143321030244134
631251432245200
73030552435042
oct473740370200
9131406555020
1042404540544
1116a90291a33
128275240800
133cca29ab12
1420a3a8da92
151182b58499
hex9df81f080

42404540544 has 192 divisors, whose sum is σ = 127837008000. Its totient is φ = 13473847296.

The previous prime is 42404540533. The next prime is 42404540569. The reversal of 42404540544 is 44504540424.

42404540544 is a `hidden beast` number, since 4 + 240 + 4 + 5 + 405 + 4 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42404540499 and 42404540508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2631199 + ... + 2647265.

It is an arithmetic number, because the mean of its divisors is an integer number (665817750).

Almost surely, 242404540544 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 42404540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63918504000).

42404540544 is an abundant number, since it is smaller than the sum of its proper divisors (85432467456).

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

42404540544 is a wasteful number, since it uses less digits than its factorization.

42404540544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16195 (or 16180 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 36.

The spelling of 42404540544 in words is "forty-two billion, four hundred four million, five hundred forty thousand, five hundred forty-four".