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402144102329 is a prime number
BaseRepresentation
bin1011101101000011010…
…10000000011110111001
31102110000010002001110012
411312201222000132321
523042042342233304
6504424211431305
741024335320134
oct5664152003671
91373003061405
10402144102329
111456039531a2
1265b312b5535
132bbca8cb048
141566cc4d21b
15a6d9c7316e
hex5da1a807b9

402144102329 has 2 divisors, whose sum is σ = 402144102330. Its totient is φ = 402144102328.

The previous prime is 402144102233. The next prime is 402144102331. The reversal of 402144102329 is 923201441204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250048002304 + 152096100025 = 500048^2 + 389995^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-402144102329 is a prime.

It is a Sophie Germain prime.

Together with 402144102331, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 402144102295 and 402144102304.

It is not a weakly prime, because it can be changed into another prime (402144102629) 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, 201072051164 + 201072051165.

It is an arithmetic number, because the mean of its divisors is an integer number (201072051165).

Almost surely, 2402144102329 is an apocalyptic number.

It is an amenable number.

402144102329 is a deficient number, since it is larger than the sum of its proper divisors (1).

402144102329 is an equidigital number, since it uses as much as digits as its factorization.

402144102329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 402144102329 in words is "four hundred two billion, one hundred forty-four million, one hundred two thousand, three hundred twenty-nine".