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9214144414129 is a prime number
BaseRepresentation
bin1000011000010101010111…
…0011100000000110110001
31012121212022120022012100201
42012011111303200012301
52201431031432223004
631332530340315201
71640462042154244
oct206052563400661
935555276265321
109214144414129
112a32773344a86
12104991a3a2b01
1351ab756b2285
1423bd7751325b
1510ea337ad6a4
hex86155ce01b1

9214144414129 has 2 divisors, whose sum is σ = 9214144414130. Its totient is φ = 9214144414128.

The previous prime is 9214144414117. The next prime is 9214144414273.

9214144414129 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8633888969104 + 580255445025 = 2938348^2 + 761745^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 9214144414129 - 237 = 9076705460657 is a prime.

It is not a weakly prime, because it can be changed into another prime (9214144414429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4607072207064 + 4607072207065.

It is an arithmetic number, because the mean of its divisors is an integer number (4607072207065).

Almost surely, 29214144414129 is an apocalyptic number.

It is an amenable number.

9214144414129 is a deficient number, since it is larger than the sum of its proper divisors (1).

9214144414129 is an equidigital number, since it uses as much as digits as its factorization.

9214144414129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 331776, while the sum is 46.

The spelling of 9214144414129 in words is "nine trillion, two hundred fourteen billion, one hundred forty-four million, four hundred fourteen thousand, one hundred twenty-nine".