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14221008127 = 37479538581
BaseRepresentation
bin11010011111010001…
…10101110011111111
31100201002100001201201
431033220311303333
5213111034230002
610311045320331
71012260401044
oct151750656377
940632301651
1014221008127
11603842a987
12290a7060a7
131458340411
1498c9a71cb
1558373c087
hex34fa35cff

14221008127 has 16 divisors (see below), whose sum is σ = 14933503872. Its totient is φ = 13526472960.

The previous prime is 14221008103. The next prime is 14221008133. The reversal of 14221008127 is 72180012241.

It is a cyclic number.

It is not a de Polignac number, because 14221008127 - 215 = 14220975359 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14221008095 and 14221008104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14221008227) 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 in 15 ways as a sum of consecutive naturals, for example, 1652977 + ... + 1661557.

It is an arithmetic number, because the mean of its divisors is an integer number (933343992).

Almost surely, 214221008127 is an apocalyptic number.

14221008127 is a deficient number, since it is larger than the sum of its proper divisors (712495745).

14221008127 is an equidigital number, since it uses as much as digits as its factorization.

14221008127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9618.

The product of its (nonzero) digits is 1792, while the sum is 28.

The spelling of 14221008127 in words is "fourteen billion, two hundred twenty-one million, eight thousand, one hundred twenty-seven".

Divisors: 1 37 47 953 1739 8581 35261 44791 317497 403307 1657267 8177693 14922359 302574641 384351571 14221008127