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42042022420 = 2254334854737
BaseRepresentation
bin100111001001111001…
…100101101000010100
311000111222111000122111
4213021321211220110
51142100224204140
631151442240404
73015561202636
oct471171455024
9130458430574
1042042022420
1116914697782
128193956104
133c70150b58
14206b884a56
151160dea7ea
hex9c9e65a14

42042022420 has 24 divisors (see below), whose sum is σ = 88492164264. Its totient is φ = 16777967616.

The previous prime is 42042022411. The next prime is 42042022441. The reversal of 42042022420 is 2422024024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1036582416 + 41005440004 = 32196^2 + 202498^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42042022391 and 42042022400.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2418709 + ... + 2436028.

It is an arithmetic number, because the mean of its divisors is an integer number (3687173511).

Almost surely, 242042022420 is an apocalyptic number.

It is an amenable number.

42042022420 is an abundant number, since it is smaller than the sum of its proper divisors (46450141844).

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

42042022420 is a wasteful number, since it uses less digits than its factorization.

42042022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855179 (or 4855177 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 42042022420 its reverse (2422024024), we get a palindrome (44464046444).

The spelling of 42042022420 in words is "forty-two billion, forty-two million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 433 866 1732 2165 4330 8660 4854737 9709474 19418948 24273685 48547370 97094740 2102101121 4204202242 8408404484 10510505605 21021011210 42042022420