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42114000342124 = 22171932595975497
BaseRepresentation
bin10011001001101011011100…
…00001111100110001101100
312112010001121002112021102001
421210311232001330301230
521004443433041421444
6225322523224142044
711604431121342214
oct1144655601746154
9175101532467361
1042114000342124
11124674a1313237
124881b85607924
131a6644403a079
14a58485551244
154d07360d38d4
hex264d6e07cc6c

42114000342124 has 24 divisors (see below), whose sum is σ = 82141858254960. Its totient is φ = 18775281885696.

The previous prime is 42114000342083. The next prime is 42114000342203. The reversal of 42114000342124 is 42124300041124.

42114000342124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42114000342092 and 42114000342101.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16297986457 + ... + 16297989040.

It is an arithmetic number, because the mean of its divisors is an integer number (3422577427290).

Almost surely, 242114000342124 is an apocalyptic number.

It is an amenable number.

42114000342124 is a deficient number, since it is larger than the sum of its proper divisors (40027857912836).

42114000342124 is a wasteful number, since it uses less digits than its factorization.

42114000342124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32595975537 (or 32595975535 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 42114000342124 its reverse (42124300041124), we get a palindrome (84238300383248).

The spelling of 42114000342124 in words is "forty-two trillion, one hundred fourteen billion, three hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 17 19 34 38 68 76 323 646 1292 32595975497 65191950994 130383901988 554131583449 619323534443 1108263166898 1238647068886 2216526333796 2477294137772 10528500085531 21057000171062 42114000342124