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42143000127 = 3311014486639
BaseRepresentation
bin100111001111111010…
…110010011000111111
311000210000111020000120
4213033322302120333
51142302102001002
631205450430023
73021225406404
oct471772623077
9130700436016
1042143000127
1116966696828
128201732313
133c88047687
14207b04c2ab
151169be4cbc
hex9cfeb263f

42143000127 has 16 divisors (see below), whose sum is σ = 58577571840. Its totient is φ = 26919828000.

The previous prime is 42143000117. The next prime is 42143000167. The reversal of 42143000127 is 72100034124.

It is a happy number.

It is not a de Polignac number, because 42143000127 - 210 = 42142999103 is a prime.

It is a super-2 number, since 2×421430001272 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42143000097 and 42143000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42143000117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2233927 + ... + 2252712.

It is an arithmetic number, because the mean of its divisors is an integer number (3661098240).

Almost surely, 242143000127 is an apocalyptic number.

42143000127 is a deficient number, since it is larger than the sum of its proper divisors (16434571713).

42143000127 is a wasteful number, since it uses less digits than its factorization.

42143000127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486774.

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 42143000127 in words is "forty-two billion, one hundred forty-three million, one hundred twenty-seven", and thus it is an aban number.

Divisors: 1 3 31 93 101 303 3131 9393 4486639 13459917 139085809 417257427 453150539 1359451617 14047666709 42143000127