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20144140319 is a prime number
BaseRepresentation
bin10010110000101011…
…110011000000011111
31220222212202100121002
4102300223303000133
5312223344442234
613130514500515
71312122240032
oct226053630037
956885670532
1020144140319
1185a7929856
123aa229473b
131b90504674
14d914c7019
157cd73e27e
hex4b0af301f

20144140319 has 2 divisors, whose sum is σ = 20144140320. Its totient is φ = 20144140318.

The previous prime is 20144140189. The next prime is 20144140339. The reversal of 20144140319 is 91304144102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 20144140319 - 28 = 20144140063 is a prime.

It is a super-2 number, since 2×201441403192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20144140291 and 20144140300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20144140339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10072070159 + 10072070160.

It is an arithmetic number, because the mean of its divisors is an integer number (10072070160).

Almost surely, 220144140319 is an apocalyptic number.

20144140319 is a deficient number, since it is larger than the sum of its proper divisors (1).

20144140319 is an equidigital number, since it uses as much as digits as its factorization.

20144140319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 20144140319 in words is "twenty billion, one hundred forty-four million, one hundred forty thousand, three hundred nineteen".