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144636405313 is a prime number
BaseRepresentation
bin1000011010110100000…
…0000110011001000001
3111211022221220200011111
42012231000012121001
54332203404432223
6150240044043321
713310140105651
oct2065500063101
9454287820144
10144636405313
1156381531074
1224046533541
13108402b78aa
1470012c4361
153b67ca630d
hex21ad006641

144636405313 has 2 divisors, whose sum is σ = 144636405314. Its totient is φ = 144636405312.

The previous prime is 144636405289. The next prime is 144636405341. The reversal of 144636405313 is 313504636441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135731085889 + 8905319424 = 368417^2 + 94368^2 .

It is a cyclic number.

It is not a de Polignac number, because 144636405313 - 229 = 144099534401 is a prime.

It is not a weakly prime, because it can be changed into another prime (144636405413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72318202656 + 72318202657.

It is an arithmetic number, because the mean of its divisors is an integer number (72318202657).

Almost surely, 2144636405313 is an apocalyptic number.

It is an amenable number.

144636405313 is a deficient number, since it is larger than the sum of its proper divisors (1).

144636405313 is an equidigital number, since it uses as much as digits as its factorization.

144636405313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 144636405313 in words is "one hundred forty-four billion, six hundred thirty-six million, four hundred five thousand, three hundred thirteen".