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144640644413 is a prime number
BaseRepresentation
bin1000011010110101000…
…0010001010100111101
3111211100020220001010012
42012231100101110331
54332211001110123
6150240314553005
713310221122566
oct2065520212475
9454306801105
10144640644413
1156383966a61
1224047a38765
1310841140235
147001aa916d
153b68342378
hex21ad41153d

144640644413 has 2 divisors, whose sum is σ = 144640644414. Its totient is φ = 144640644412.

The previous prime is 144640644373. The next prime is 144640644419. The reversal of 144640644413 is 314446046441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138474782884 + 6165861529 = 372122^2 + 78523^2 .

It is a cyclic number.

It is not a de Polignac number, because 144640644413 - 218 = 144640382269 is a prime.

It is a super-2 number, since 2×1446406444132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144640644419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72320322206 + 72320322207.

It is an arithmetic number, because the mean of its divisors is an integer number (72320322207).

Almost surely, 2144640644413 is an apocalyptic number.

It is an amenable number.

144640644413 is a deficient number, since it is larger than the sum of its proper divisors (1).

144640644413 is an equidigital number, since it uses as much as digits as its factorization.

144640644413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 442368, while the sum is 41.

The spelling of 144640644413 in words is "one hundred forty-four billion, six hundred forty million, six hundred forty-four thousand, four hundred thirteen".