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144736993 is a prime number
BaseRepresentation
bin10001010000010…
…00001011100001
3101002100101211101
420220020023201
5244023040433
622210114401
73405146512
oct1050101341
9332311741
10144736993
1174778055
124057ba01
1323ca84bb
1415318a09
15ca9007d
hex8a082e1

144736993 has 2 divisors, whose sum is σ = 144736994. Its totient is φ = 144736992.

The previous prime is 144736967. The next prime is 144737023. The reversal of 144736993 is 399637441.

It is the 4912-nd star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107184609 + 37552384 = 10353^2 + 6128^2 .

It is a cyclic number.

It is not a de Polignac number, because 144736993 - 217 = 144605921 is a prime.

It is not a weakly prime, because it can be changed into another prime (144736903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72368496 + 72368497.

It is an arithmetic number, because the mean of its divisors is an integer number (72368497).

Almost surely, 2144736993 is an apocalyptic number.

It is an amenable number.

144736993 is a deficient number, since it is larger than the sum of its proper divisors (1).

144736993 is an equidigital number, since it uses as much as digits as its factorization.

144736993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 489888, while the sum is 46.

The square root of 144736993 is about 12030.6688508994. The cubic root of 144736993 is about 525.0409558374.

The spelling of 144736993 in words is "one hundred forty-four million, seven hundred thirty-six thousand, nine hundred ninety-three".