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144535033381 is a prime number
BaseRepresentation
bin1000011010011011110…
…1011001011000100101
3111211001220011110000111
42012212331121120211
54332001432032011
6150222023213021
713304466340654
oct2064675313045
9454056143014
10144535033381
115632a292912
12240185a7171
13108252b37bb
146dd1a5719b
153b5de30121
hex21a6f59625

144535033381 has 2 divisors, whose sum is σ = 144535033382. Its totient is φ = 144535033380.

The previous prime is 144535033273. The next prime is 144535033387. The reversal of 144535033381 is 183330535441.

144535033381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121214689281 + 23320344100 = 348159^2 + 152710^2 .

It is a cyclic number.

It is not a de Polignac number, because 144535033381 - 213 = 144535025189 is a prime.

It is a super-2 number, since 2×1445350333812 (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 (144535033387) 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, 72267516690 + 72267516691.

It is an arithmetic number, because the mean of its divisors is an integer number (72267516691).

Almost surely, 2144535033381 is an apocalyptic number.

It is an amenable number.

144535033381 is a deficient number, since it is larger than the sum of its proper divisors (1).

144535033381 is an equidigital number, since it uses as much as digits as its factorization.

144535033381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 144535033381 in words is "one hundred forty-four billion, five hundred thirty-five million, thirty-three thousand, three hundred eighty-one".