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14414132245041 = 3227119793298583
BaseRepresentation
bin1101000111000000110100…
…1110110111001000110001
31220000222101122210202102100
43101300031032313020301
53342130120323320131
650353432210211013
73015246430351134
oct321601516671061
956028348722370
1014414132245041
114657aa9970941
12174967b883a69
138073293c4759
1437b90d4d021b
1519ee2834d7e6
hexd1c0d3b7231

14414132245041 has 24 divisors (see below), whose sum is σ = 20898367117056. Its totient is φ = 9573446609280.

The previous prime is 14414132245027. The next prime is 14414132245091. The reversal of 14414132245041 is 14054223141441.

14414132245041 is a `hidden beast` number, since 1 + 4 + 4 + 14 + 132 + 2 + 4 + 504 + 1 = 666.

It is not a de Polignac number, because 14414132245041 - 27 = 14414132244913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14414132244987 and 14414132245005.

It is not an unprimeable number, because it can be changed into a prime (14414132245001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48125836 + ... + 48424418.

It is an arithmetic number, because the mean of its divisors is an integer number (870765296544).

Almost surely, 214414132245041 is an apocalyptic number.

It is an amenable number.

14414132245041 is a deficient number, since it is larger than the sum of its proper divisors (6484234872015).

14414132245041 is a wasteful number, since it uses less digits than its factorization.

14414132245041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318653 (or 318650 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 14414132245041 its reverse (14054223141441), we get a palindrome (28468355386482).

The spelling of 14414132245041 in words is "fourteen trillion, four hundred fourteen billion, one hundred thirty-two million, two hundred forty-five thousand, forty-one".

Divisors: 1 3 9 271 813 2439 19793 59379 178137 298583 895749 2687247 5363903 16091709 48275127 80915993 242747979 728243937 5909853319 17729559957 53188679871 1601570249449 4804710748347 14414132245041