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3402434131729 is a prime number
BaseRepresentation
bin110001100000110000111…
…000001011011100010001
3110001021021111002100102221
4301200300320023130101
5421221141114203404
611123020123341041
7500550326636053
oct61406070133421
913037244070387
103402434131729
1110a1a67403296
1246b4b8381781
131b8b04547679
14ba9704818d3
155d789ba6954
hex31830e0b711

3402434131729 has 2 divisors, whose sum is σ = 3402434131730. Its totient is φ = 3402434131728.

The previous prime is 3402434131699. The next prime is 3402434131763. The reversal of 3402434131729 is 9271314342043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2276320527504 + 1126113604225 = 1508748^2 + 1061185^2 .

It is a cyclic number.

It is not a de Polignac number, because 3402434131729 - 27 = 3402434131601 is a prime.

It is not a weakly prime, because it can be changed into another prime (3402434131429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1701217065864 + 1701217065865.

It is an arithmetic number, because the mean of its divisors is an integer number (1701217065865).

Almost surely, 23402434131729 is an apocalyptic number.

It is an amenable number.

3402434131729 is a deficient number, since it is larger than the sum of its proper divisors (1).

3402434131729 is an equidigital number, since it uses as much as digits as its factorization.

3402434131729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 3402434131729 in words is "three trillion, four hundred two billion, four hundred thirty-four million, one hundred thirty-one thousand, seven hundred twenty-nine".