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14224100141141 = 1121117105241313
BaseRepresentation
bin1100111011111100111001…
…1011111010100001010101
31212100210212222212122202222
43032333032123322201111
53331021424114004031
650130243354512125
72665441314205532
oct316771633724125
955323788778688
1014224100141141
114594452787600
121718886435645
137c2433232267
143726431b5d89
1519a005044e7b
hexcefce6fa855

14224100141141 has 12 divisors (see below), whose sum is σ = 15648751943916. Its totient is φ = 12919423461120.

The previous prime is 14224100141129. The next prime is 14224100141143. The reversal of 14224100141141 is 14114100142241.

It can be written as a sum of positive squares in 2 ways, for example, as 532279680625 + 13691820460516 = 729575^2 + 3700246^2 .

It is not a de Polignac number, because 14224100141141 - 26 = 14224100141077 is a prime.

It is a super-2 number, since 2×142241001411412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14224100141141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224100141143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52485500 + ... + 52755813.

It is an arithmetic number, because the mean of its divisors is an integer number (1304062661993).

Almost surely, 214224100141141 is an apocalyptic number.

14224100141141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14224100141141 is a deficient number, since it is larger than the sum of its proper divisors (1424651802775).

14224100141141 is a wasteful number, since it uses less digits than its factorization.

14224100141141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105242452 (or 105242441 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 14224100141141 its reverse (14114100142241), we get a palindrome (28338200283382).

The spelling of 14224100141141 in words is "fourteen trillion, two hundred twenty-four billion, one hundred million, one hundred forty-one thousand, one hundred forty-one".

Divisors: 1 11 121 1117 12287 135157 105241313 1157654443 12734198873 117554546621 1293100012831 14224100141141