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407434340129 is a prime number
BaseRepresentation
bin1011110110111001111…
…10101010011100100001
31102221122210120222102112
411323130332222130201
523133411142341004
6511101151525105
741302413515015
oct5733476523441
91387583528375
10407434340129
11147879077153
1266b68b29795
132c56191a17b
1415a116a2545
15a8e940ae6e
hex5edcfaa721

407434340129 has 2 divisors, whose sum is σ = 407434340130. Its totient is φ = 407434340128.

The previous prime is 407434340123. The next prime is 407434340149. The reversal of 407434340129 is 921043434704.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 402238813729 + 5195526400 = 634223^2 + 72080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-407434340129 is a prime.

It is not a weakly prime, because it can be changed into another prime (407434340123) 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, 203717170064 + 203717170065.

It is an arithmetic number, because the mean of its divisors is an integer number (203717170065).

Almost surely, 2407434340129 is an apocalyptic number.

It is an amenable number.

407434340129 is a deficient number, since it is larger than the sum of its proper divisors (1).

407434340129 is an equidigital number, since it uses as much as digits as its factorization.

407434340129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 407434340129 in words is "four hundred seven billion, four hundred thirty-four million, three hundred forty thousand, one hundred twenty-nine".