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42406142010 = 23512711130221
BaseRepresentation
bin100111011111100110…
…100110000000111010
311001110100122012211020
4213133212212000322
51143321433021020
631251530443310
73030602155041
oct473746460072
9131410565736
1042406142010
1116a91186161
128275893536
133cca70ba2b
1420a3d89558
151182d72c40
hex9df9a603a

42406142010 has 32 divisors (see below), whose sum is σ = 102576125952. Its totient is φ = 11219261760.

The previous prime is 42406141931. The next prime is 42406142017. The reversal of 42406142010 is 1024160424.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42406142017) 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 15 ways as a sum of consecutive naturals, for example, 5561301 + ... + 5568920.

It is an arithmetic number, because the mean of its divisors is an integer number (3205503936).

Almost surely, 242406142010 is an apocalyptic number.

42406142010 is an abundant number, since it is smaller than the sum of its proper divisors (60169983942).

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

42406142010 is a wasteful number, since it uses less digits than its factorization.

42406142010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11130358.

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 42406142010 in words is "forty-two billion, four hundred six million, one hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 127 254 381 635 762 1270 1905 3810 11130221 22260442 33390663 55651105 66781326 111302210 166953315 333906630 1413538067 2827076134 4240614201 7067690335 8481228402 14135380670 21203071005 42406142010