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144412364430337 is a prime number
BaseRepresentation
bin100000110101011110011111…
…101011101101110000000001
3200221022200112222100202022111
4200311132133223231300001
5122412023010243232322
61231050042505535321
742263310005105113
oct4065363753556001
9627280488322274
10144412364430337
1142017a37997783
12142441007a4541
136277048648423
14279384a9933b3
1511a676c5ea177
hex83579faedc01

144412364430337 has 2 divisors, whose sum is σ = 144412364430338. Its totient is φ = 144412364430336.

The previous prime is 144412364430319. The next prime is 144412364430371. The reversal of 144412364430337 is 733034463214441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132796837110001 + 11615527320336 = 11523751^2 + 3408156^2 .

It is a cyclic number.

It is not a de Polignac number, because 144412364430337 - 227 = 144412230212609 is a prime.

It is a super-3 number, since 3×1444123644303373 (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (144412364430307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72206182215168 + 72206182215169.

It is an arithmetic number, because the mean of its divisors is an integer number (72206182215169).

Almost surely, 2144412364430337 is an apocalyptic number.

It is an amenable number.

144412364430337 is a deficient number, since it is larger than the sum of its proper divisors (1).

144412364430337 is an equidigital number, since it uses as much as digits as its factorization.

144412364430337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6967296, while the sum is 49.

The spelling of 144412364430337 in words is "one hundred forty-four trillion, four hundred twelve billion, three hundred sixty-four million, four hundred thirty thousand, three hundred thirty-seven".