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42204190401 = 3319167492631
BaseRepresentation
bin100111010011100100…
…001101011011000001
311000221021122000022000
4213103210031123001
51142413233043101
631215514134213
73022600461612
oct472344153301
9130837560260
1042204190401
111699818a9aa
12821a121369
133c97920339
142085219c09
151170280486
hex9d390d6c1

42204190401 has 32 divisors (see below), whose sum is σ = 66209740800. Its totient is φ = 26495611920.

The previous prime is 42204190367. The next prime is 42204190433. The reversal of 42204190401 is 10409140224.

It is a happy number.

42204190401 is a `hidden beast` number, since 42 + 204 + 19 + 0 + 401 = 666.

It is not a de Polignac number, because 42204190401 - 218 = 42203928257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42204190451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160645 + ... + 331986.

It is an arithmetic number, because the mean of its divisors is an integer number (2069054400).

Almost surely, 242204190401 is an apocalyptic number.

It is an amenable number.

42204190401 is a deficient number, since it is larger than the sum of its proper divisors (24005550399).

42204190401 is a wasteful number, since it uses less digits than its factorization.

42204190401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492826 (or 492820 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 42204190401 in words is "forty-two billion, two hundred four million, one hundred ninety thousand, four hundred one".

Divisors: 1 3 9 19 27 57 167 171 501 513 1503 3173 4509 9519 28557 85671 492631 1477893 4433679 9359989 13301037 28079967 82269377 84239901 246808131 252719703 740424393 1563118163 2221273179 4689354489 14068063467 42204190401