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14414004331261 is a prime number
BaseRepresentation
bin1101000111000000010110…
…0110111010001011111101
31220000222001202010001200221
43101300011212322023331
53342124340102100021
650353411400421341
73015243315166513
oct321600546721375
956028052101627
1014414004331261
114657a43744377
121749644a77851
13807308a59722
1437b8da5144b3
1519ee1bed3241
hexd1c059ba2fd

14414004331261 has 2 divisors, whose sum is σ = 14414004331262. Its totient is φ = 14414004331260.

The previous prime is 14414004331249. The next prime is 14414004331313. The reversal of 14414004331261 is 16213340041441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12288488184036 + 2125516147225 = 3505494^2 + 1457915^2 .

It is an emirp because it is prime and its reverse (16213340041441) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 14414004331261 - 215 = 14414004298493 is a prime.

It is a super-2 number, since 2×144140043312612 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14414004331211) by changing a digit.

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 as a sum of consecutive naturals, namely, 7207002165630 + 7207002165631.

It is an arithmetic number, because the mean of its divisors is an integer number (7207002165631).

Almost surely, 214414004331261 is an apocalyptic number.

It is an amenable number.

14414004331261 is a deficient number, since it is larger than the sum of its proper divisors (1).

14414004331261 is an equidigital number, since it uses as much as digits as its factorization.

14414004331261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 14414004331261 in words is "fourteen trillion, four hundred fourteen billion, four million, three hundred thirty-one thousand, two hundred sixty-one".