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144176648337649 is a prime number
BaseRepresentation
bin100000110010000010111101…
…111010001011100011110001
3200220111011010111221120101101
4200302002331322023203301
5122344142233433301044
61230345500552004401
742240263515300024
oct4062027572134361
9626434114846341
10144176648337649
1141a36a78344504
1214206497990701
13625aa519503c5
14278628923d1bb
1511a05737e4cd4
hex8320bde8b8f1

144176648337649 has 2 divisors, whose sum is σ = 144176648337650. Its totient is φ = 144176648337648.

The previous prime is 144176648337563. The next prime is 144176648337679. The reversal of 144176648337649 is 946733846671441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138693183115249 + 5483465222400 = 11776807^2 + 2341680^2 .

It is a cyclic number.

It is not a de Polignac number, because 144176648337649 - 213 = 144176648329457 is a prime.

It is a super-2 number, since 2×1441766483376492 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (144176648337679) 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, 72088324168824 + 72088324168825.

It is an arithmetic number, because the mean of its divisors is an integer number (72088324168825).

Almost surely, 2144176648337649 is an apocalyptic number.

It is an amenable number.

144176648337649 is a deficient number, since it is larger than the sum of its proper divisors (1).

144176648337649 is an equidigital number, since it uses as much as digits as its factorization.

144176648337649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1755758592, while the sum is 73.

The spelling of 144176648337649 in words is "one hundred forty-four trillion, one hundred seventy-six billion, six hundred forty-eight million, three hundred thirty-seven thousand, six hundred forty-nine".