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144384073313 is a prime number
BaseRepresentation
bin1000011001110111110…
…1100001111001100001
3111210200101002212201212
42012131331201321201
54331144310321223
6150155031435505
713300654242104
oct2063575417141
9453611085655
10144384073313
1156262055327
1223b95b25b95
13107ccc3990c
146db999c73b
153b50a61278
hex219df61e61

144384073313 has 2 divisors, whose sum is σ = 144384073314. Its totient is φ = 144384073312.

The previous prime is 144384073279. The next prime is 144384073319. The reversal of 144384073313 is 313370483441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77190620224 + 67193453089 = 277832^2 + 259217^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144384073313 is a prime.

It is not a weakly prime, because it can be changed into another prime (144384073319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72192036656 + 72192036657.

It is an arithmetic number, because the mean of its divisors is an integer number (72192036657).

Almost surely, 2144384073313 is an apocalyptic number.

It is an amenable number.

144384073313 is a deficient number, since it is larger than the sum of its proper divisors (1).

144384073313 is an equidigital number, since it uses as much as digits as its factorization.

144384073313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 144384073313 in words is "one hundred forty-four billion, three hundred eighty-four million, seventy-three thousand, three hundred thirteen".