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1406130262129 is a prime number
BaseRepresentation
bin10100011101100011111…
…001010001000001110001
311222102110122011101012101
4110131203321101001301
5141014223321342004
62553544535300401
7203406135010255
oct24354371210161
94872418141171
101406130262129
114a2377969a2a
121a862621a701
13a279c980808
144c0b2846265
152689b428ba4
hex14763e51071

1406130262129 has 2 divisors, whose sum is σ = 1406130262130. Its totient is φ = 1406130262128.

The previous prime is 1406130262087. The next prime is 1406130262171. The reversal of 1406130262129 is 9212620316041.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (1406130262087) and next prime (1406130262171).

It can be written as a sum of positive squares in only one way, i.e., 1406086066225 + 44195904 = 1185785^2 + 6648^2 .

It is a cyclic number.

It is not a de Polignac number, because 1406130262129 - 219 = 1406129737841 is a prime.

It is a super-4 number, since 4×14061302621294 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1406130268129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 703065131064 + 703065131065.

It is an arithmetic number, because the mean of its divisors is an integer number (703065131065).

Almost surely, 21406130262129 is an apocalyptic number.

It is an amenable number.

1406130262129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1406130262129 is an equidigital number, since it uses as much as digits as its factorization.

1406130262129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 1406130262129 in words is "one trillion, four hundred six billion, one hundred thirty million, two hundred sixty-two thousand, one hundred twenty-nine".