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144828133969 is a prime number
BaseRepresentation
bin1000011011100001101…
…1011111001001010001
3111211211022200111102211
42012320123133021101
54333102000241334
6150311053312121
713314655553431
oct2067033371121
9454738614384
10144828133969
115646a784702
122409a795641
1310870c370bc
14701c9522c1
153b79a29a64
hex21b86df251

144828133969 has 2 divisors, whose sum is σ = 144828133970. Its totient is φ = 144828133968.

The previous prime is 144828133963. The next prime is 144828133997. The reversal of 144828133969 is 969331828441.

144828133969 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., 144447883969 + 380250000 = 380063^2 + 19500^2 .

It is a cyclic number.

It is not a de Polignac number, because 144828133969 - 219 = 144827609681 is a prime.

It is a super-2 number, since 2×1448281339692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (144828133963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72414066984 + 72414066985.

It is an arithmetic number, because the mean of its divisors is an integer number (72414066985).

Almost surely, 2144828133969 is an apocalyptic number.

It is an amenable number.

144828133969 is a deficient number, since it is larger than the sum of its proper divisors (1).

144828133969 is an equidigital number, since it uses as much as digits as its factorization.

144828133969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8957952, while the sum is 58.

The spelling of 144828133969 in words is "one hundred forty-four billion, eight hundred twenty-eight million, one hundred thirty-three thousand, nine hundred sixty-nine".