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14122243107 = 337219229569
BaseRepresentation
bin11010010011100000…
…00101010000100011
31100110012111021121000
431021300011100203
5212410243234412
610253200403043
71006651041300
oct151160052043
940405437530
1014122243107
115a977022a5
1228a1616483
131440a3ca8b
1497d8180a7
15579c2d4dc
hex349c05423

14122243107 has 72 divisors (see below), whose sum is σ = 25686867600. Its totient is φ = 7644865536.

The previous prime is 14122243103. The next prime is 14122243153. The reversal of 14122243107 is 70134222141.

14122243107 is a `hidden beast` number, since 1 + 4 + 1 + 222 + 431 + 0 + 7 = 666.

It is not a de Polignac number, because 14122243107 - 22 = 14122243103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14122243103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 462819 + ... + 492387.

It is an arithmetic number, because the mean of its divisors is an integer number (356762050).

Almost surely, 214122243107 is an apocalyptic number.

14122243107 is a deficient number, since it is larger than the sum of its proper divisors (11564624493).

14122243107 is a wasteful number, since it uses less digits than its factorization.

14122243107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29630 (or 29598 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 14122243107 its reverse (70134222141), we get a palindrome (84256465248).

The spelling of 14122243107 in words is "fourteen billion, one hundred twenty-two million, two hundred forty-three thousand, one hundred seven".

Divisors: 1 3 7 9 19 21 27 49 57 63 133 147 171 189 361 399 441 513 931 1083 1197 1323 2527 2793 3249 3591 7581 8379 9747 17689 22743 25137 29569 53067 68229 88707 159201 206983 266121 477603 561811 620949 798363 1448881 1685433 1862847 3932677 4346643 5056299 5588541 10674409 11798031 13039929 15168897 27528739 32023227 35394093 39119787 74720863 82586217 96069681 106182279 224162589 247758651 288209043 523046041 672487767 743275953 1569138123 2017463301 4707414369 14122243107