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2401665144289 is a prime number
BaseRepresentation
bin100010111100101110011…
…001011101010111100001
322111121010011200022111121
4202330232121131113201
5303322102234104124
65035150523012241
7335341333620115
oct42745631352741
98447104608447
102401665144289
118465a43a9794
1232956096a081
13145625b66a98
1484353c63745
1542715b922e4
hex22f2e65d5e1

2401665144289 has 2 divisors, whose sum is σ = 2401665144290. Its totient is φ = 2401665144288.

The previous prime is 2401665144287. The next prime is 2401665144367. The reversal of 2401665144289 is 9824415661042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2119164390225 + 282500754064 = 1455735^2 + 531508^2 .

It is a cyclic number.

It is not a de Polignac number, because 2401665144289 - 21 = 2401665144287 is a prime.

Together with 2401665144287, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2401665144287) 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, 1200832572144 + 1200832572145.

It is an arithmetic number, because the mean of its divisors is an integer number (1200832572145).

Almost surely, 22401665144289 is an apocalyptic number.

It is an amenable number.

2401665144289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2401665144289 is an equidigital number, since it uses as much as digits as its factorization.

2401665144289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 2401665144289 in words is "two trillion, four hundred one billion, six hundred sixty-five million, one hundred forty-four thousand, two hundred eighty-nine".