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145344360344257 is a prime number
BaseRepresentation
bin100001000011000010011110…
…111101111110101011000001
3201001121210012101002200002201
4201003002132331332223001
5123022310222222004012
61233042135524513201
742420532512500404
oct4103023675765301
9631553171080081
10145344360344257
1142347219327238
121437486424b801
136313bb6b42b79
1427c69c14d7d3b
1511c0b18aa7857
hex84309ef7eac1

145344360344257 has 2 divisors, whose sum is σ = 145344360344258. Its totient is φ = 145344360344256.

The previous prime is 145344360344237. The next prime is 145344360344459. The reversal of 145344360344257 is 752443063443541.

145344360344257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75175073166736 + 70169287177521 = 8670356^2 + 8376711^2 .

It is a cyclic number.

It is not a de Polignac number, because 145344360344257 - 227 = 145344226126529 is a prime.

It is a super-2 number, since 2×1453443603442572 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145344360344198 and 145344360344207.

It is not a weakly prime, because it can be changed into another prime (145344360344207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72672180172128 + 72672180172129.

It is an arithmetic number, because the mean of its divisors is an integer number (72672180172129).

Almost surely, 2145344360344257 is an apocalyptic number.

It is an amenable number.

145344360344257 is a deficient number, since it is larger than the sum of its proper divisors (1).

145344360344257 is an equidigital number, since it uses as much as digits as its factorization.

145344360344257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58060800, while the sum is 55.

The spelling of 145344360344257 in words is "one hundred forty-five trillion, three hundred forty-four billion, three hundred sixty million, three hundred forty-four thousand, two hundred fifty-seven".