Search a number
-
+
4314412423109 is a prime number
BaseRepresentation
bin111110110010000111000…
…001010001011111000101
3120021110020211010200101202
4332302013001101133011
51031141404040014414
613102002543232245
7623464106336645
oct76620701213705
916243224120352
104314412423109
111413806377748
125981b3ba8685
13253b02807249
1410cb66634525
1577363ab69de
hex3ec870517c5

4314412423109 has 2 divisors, whose sum is σ = 4314412423110. Its totient is φ = 4314412423108.

The previous prime is 4314412423093. The next prime is 4314412423127. The reversal of 4314412423109 is 9013242144134.

4314412423109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3854664688900 + 459747734209 = 1963330^2 + 678047^2 .

It is a cyclic number.

It is not a de Polignac number, because 4314412423109 - 24 = 4314412423093 is a prime.

It is a super-2 number, since 2×43144124231092 (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4314412423709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2157206211554 + 2157206211555.

It is an arithmetic number, because the mean of its divisors is an integer number (2157206211555).

Almost surely, 24314412423109 is an apocalyptic number.

It is an amenable number.

4314412423109 is a deficient number, since it is larger than the sum of its proper divisors (1).

4314412423109 is an equidigital number, since it uses as much as digits as its factorization.

4314412423109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 4314412423109 in words is "four trillion, three hundred fourteen billion, four hundred twelve million, four hundred twenty-three thousand, one hundred nine".