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42435661041 = 32107123135797
BaseRepresentation
bin100111100001010111…
…001100110011110001
311001112102011221022200
4213201113030303301
51143402012123131
631254503253413
73031411111254
oct474127146361
9131472157280
1042435661041
1116aa6908254
12828374a269
134003875b07
1420a7c7109b
1511857542e6
hex9e15cccf1

42435661041 has 24 divisors (see below), whose sum is σ = 61920802944. Its totient is φ = 28002494880.

The previous prime is 42435661039. The next prime is 42435661061. The reversal of 42435661041 is 14016653424.

42435661041 is a `hidden beast` number, since 4 + 2 + 4 + 35 + 6 + 610 + 4 + 1 = 666.

It is not a de Polignac number, because 42435661041 - 21 = 42435661039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42435660987 and 42435661005.

It is not an unprimeable number, because it can be changed into a prime (42435661061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1167555 + ... + 1203351.

It is an arithmetic number, because the mean of its divisors is an integer number (2580033456).

Almost surely, 242435661041 is an apocalyptic number.

It is an amenable number.

42435661041 is a deficient number, since it is larger than the sum of its proper divisors (19485141903).

42435661041 is a wasteful number, since it uses less digits than its factorization.

42435661041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37141 (or 37138 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 42435661041 in words is "forty-two billion, four hundred thirty-five million, six hundred sixty-one thousand, forty-one".

Divisors: 1 3 9 107 321 963 1231 3693 11079 35797 107391 131717 322173 395151 1185453 3830279 11490837 34472511 44066107 132198321 396594963 4715073449 14145220347 42435661041