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42274013882001 = 3114329791412179
BaseRepresentation
bin10011001110010101011111…
…00101001010011010010001
312112200100121201020022121220
421213022233211022122101
521020104140023211001
6225524225221435253
711622124321110246
oct1147125745123221
9175610551208556
1042274013882001
1112519343834080
1248a8ba186bb29
131a78565037845
14a62104b8b5cd
154d499dd47c36
hex2672af94a691

42274013882001 has 16 divisors (see below), whose sum is σ = 62919462524160. Its totient is φ = 25024786229520.

The previous prime is 42274013881919. The next prime is 42274013882077. The reversal of 42274013882001 is 10028831047224.

42274013882001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42274013882001 - 237 = 42136574928529 is a prime.

It is a super-2 number, since 2×422740138820012 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42274013884001) 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, 14895704671 + ... + 14895707508.

It is an arithmetic number, because the mean of its divisors is an integer number (3932466407760).

Almost surely, 242274013882001 is an apocalyptic number.

It is an amenable number.

42274013882001 is a deficient number, since it is larger than the sum of its proper divisors (20645448642159).

42274013882001 is a wasteful number, since it uses less digits than its factorization.

42274013882001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29791412236.

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 42274013882001 in words is "forty-two trillion, two hundred seventy-four billion, thirteen million, eight hundred eighty-two thousand, one".

Divisors: 1 3 11 33 43 129 473 1419 29791412179 89374236537 327705533969 983116601907 1281030723697 3843092171091 14091337960667 42274013882001