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384233144129 is a prime number
BaseRepresentation
bin1011001011101100001…
…01000111111101000001
31100201202212110002210222
411211312011013331001
522243402141103004
6452303025432425
736521440560122
oct5456605077501
91321685402728
10384233144129
11138a526581aa
1262572a9b715
132a304c75523
14148501a0049
159edc6077be
hex5976147f41

384233144129 has 2 divisors, whose sum is σ = 384233144130. Its totient is φ = 384233144128.

The previous prime is 384233144117. The next prime is 384233144131. The reversal of 384233144129 is 921441332483.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 364244839729 + 19988304400 = 603527^2 + 141380^2 .

It is a cyclic number.

It is not a de Polignac number, because 384233144129 - 28 = 384233143873 is a prime.

It is a Sophie Germain prime.

Together with 384233144131, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 384233144129.

It is not a weakly prime, because it can be changed into another prime (384233144189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192116572064 + 192116572065.

It is an arithmetic number, because the mean of its divisors is an integer number (192116572065).

Almost surely, 2384233144129 is an apocalyptic number.

It is an amenable number.

384233144129 is a deficient number, since it is larger than the sum of its proper divisors (1).

384233144129 is an equidigital number, since it uses as much as digits as its factorization.

384233144129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 497664, while the sum is 44.

The spelling of 384233144129 in words is "three hundred eighty-four billion, two hundred thirty-three million, one hundred forty-four thousand, one hundred twenty-nine".