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144412412004061 is a prime number
BaseRepresentation
bin100000110101011110100010…
…100001001100011011011101
3200221022200200021212202012021
4200311132202201030123131
5122412023104433112221
61231050051325340141
742263311123346035
oct4065364241143335
9627280607782167
10144412412004061
1142017a61830603
1214244114707651
136277055464366
1427938530188c5
1511a6771896041
hex8357a284c6dd

144412412004061 has 2 divisors, whose sum is σ = 144412412004062. Its totient is φ = 144412412004060.

The previous prime is 144412412004023. The next prime is 144412412004073. The reversal of 144412412004061 is 160400214214441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122198101205625 + 22214310798436 = 11054325^2 + 4713206^2 .

It is a cyclic number.

It is not a de Polignac number, because 144412412004061 - 243 = 135616318981853 is a prime.

It is a super-2 number, since 2×1444124120040612 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144412412004761) 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, 72206206002030 + 72206206002031.

It is an arithmetic number, because the mean of its divisors is an integer number (72206206002031).

Almost surely, 2144412412004061 is an apocalyptic number.

It is an amenable number.

144412412004061 is a deficient number, since it is larger than the sum of its proper divisors (1).

144412412004061 is an equidigital number, since it uses as much as digits as its factorization.

144412412004061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24576, while the sum is 34.

The spelling of 144412412004061 in words is "one hundred forty-four trillion, four hundred twelve billion, four hundred twelve million, four thousand, sixty-one".