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144462727264441 is a prime number
BaseRepresentation
bin100000110110001101011001…
…100010101011100010111001
3200221111111112211220210202111
4200312031121202223202321
5122413334131134430231
61231125132152132321
742300042024120205
oct4066153142534271
9627444484823674
10144462727264441
1142037331450423
1214251a170970a1
13627ba13615b91
142796067571b05
1511a7c18c614b1
hex8363598ab8b9

144462727264441 has 2 divisors, whose sum is σ = 144462727264442. Its totient is φ = 144462727264440.

The previous prime is 144462727264403. The next prime is 144462727264483.

It is a happy number.

144462727264441 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 144270967351225 + 191759913216 = 12011285^2 + 437904^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 144462727264441 - 29 = 144462727263929 is a prime.

It is a super-2 number, since 2×1444627272644412 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (144462727264741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72231363632220 + 72231363632221.

It is an arithmetic number, because the mean of its divisors is an integer number (72231363632221).

Almost surely, 2144462727264441 is an apocalyptic number.

It is an amenable number.

144462727264441 is a deficient number, since it is larger than the sum of its proper divisors (1).

144462727264441 is an equidigital number, since it uses as much as digits as its factorization.

144462727264441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57802752, while the sum is 58.

The spelling of 144462727264441 in words is "one hundred forty-four trillion, four hundred sixty-two billion, seven hundred twenty-seven million, two hundred sixty-four thousand, four hundred forty-one".