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54014315200129 is a prime number
BaseRepresentation
bin11000100100000001100000…
…00100011111111010000001
321002020201101111102110221101
430102000300010133322001
524034432304142401004
6310513500035454401
714243256040550464
oct1422006004377201
9232221344373841
1054014315200129
1116235384864469
126084404a57401
13241a6b321ab1b
14d4a441c2d2db
1563a082760ba4
hex31203011fe81

54014315200129 has 2 divisors, whose sum is σ = 54014315200130. Its totient is φ = 54014315200128.

The previous prime is 54014315200121. The next prime is 54014315200169. The reversal of 54014315200129 is 92100251341045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53776892892529 + 237422307600 = 7333273^2 + 487260^2 .

It is a cyclic number.

It is not a de Polignac number, because 54014315200129 - 23 = 54014315200121 is a prime.

It is not a weakly prime, because it can be changed into another prime (54014315200121) 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, 27007157600064 + 27007157600065.

It is an arithmetic number, because the mean of its divisors is an integer number (27007157600065).

Almost surely, 254014315200129 is an apocalyptic number.

It is an amenable number.

54014315200129 is a deficient number, since it is larger than the sum of its proper divisors (1).

54014315200129 is an equidigital number, since it uses as much as digits as its factorization.

54014315200129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 54014315200129 in words is "fifty-four trillion, fourteen billion, three hundred fifteen million, two hundred thousand, one hundred twenty-nine".