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144015402337 is a prime number
BaseRepresentation
bin1000011000011111111…
…1001010010101100001
3111202201200101110020021
42012013333022111201
54324420420333322
6150054301513441
713255556502442
oct2060777122541
9452650343207
10144015402337
1156092a38374
1223ab2572881
1310771747201
146d82a312c9
153b2d4da4c7
hex2187fca561

144015402337 has 2 divisors, whose sum is σ = 144015402338. Its totient is φ = 144015402336.

The previous prime is 144015402287. The next prime is 144015402341. The reversal of 144015402337 is 733204510441.

144015402337 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., 139875252001 + 4140150336 = 373999^2 + 64344^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144015402337 is a prime.

It is a super-2 number, since 2×1440154023372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (144015402347) 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, 72007701168 + 72007701169.

It is an arithmetic number, because the mean of its divisors is an integer number (72007701169).

Almost surely, 2144015402337 is an apocalyptic number.

It is an amenable number.

144015402337 is a deficient number, since it is larger than the sum of its proper divisors (1).

144015402337 is an equidigital number, since it uses as much as digits as its factorization.

144015402337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 34.

Adding to 144015402337 its reverse (733204510441), we get a palindrome (877219912778).

The spelling of 144015402337 in words is "one hundred forty-four billion, fifteen million, four hundred two thousand, three hundred thirty-seven".