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42104000114 = 21119790712739
BaseRepresentation
bin100111001101100110…
…000000111001110010
311000200022002211001122
4213031212000321302
51142212111000424
631201534502242
73020243044631
oct471546007162
9130608084048
1042104000114
1116946679510
1281b0664982
133c7cc41047
142075bb9518
15116658e45e
hex9cd980e72

42104000114 has 32 divisors (see below), whose sum is σ = 72538502400. Its totient is φ = 18127193040.

The previous prime is 42104000069. The next prime is 42104000131. The reversal of 42104000114 is 41100040124.

It is a junction number, because it is equal to n+sod(n) for n = 42104000092 and 42104000101.

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 15 ways as a sum of consecutive naturals, for example, 3298757 + ... + 3311495.

It is an arithmetic number, because the mean of its divisors is an integer number (2266828200).

Almost surely, 242104000114 is an apocalyptic number.

42104000114 is a deficient number, since it is larger than the sum of its proper divisors (30434502286).

42104000114 is a wasteful number, since it uses less digits than its factorization.

42104000114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20678.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 42104000114 its reverse (41100040124), we get a palindrome (83204040238).

The spelling of 42104000114 in words is "forty-two billion, one hundred four million, one hundred fourteen", and thus it is an aban number.

Divisors: 1 2 11 19 22 38 209 418 7907 12739 15814 25478 86977 140129 150233 173954 242041 280258 300466 484082 1652563 2662451 3305126 5324902 100727273 201454546 1108000003 1913818187 2216000006 3827636374 21052000057 42104000114