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4314042137 is a prime number
BaseRepresentation
bin1000000010010001…
…10000111100011001
3102010122122001021102
410001020300330121
532313343322022
61552024521145
7211622516216
oct40110607431
912118561242
104314042137
111914189789
12a049201b5
135399c7b72
142ccd40b0d
151a3b09a92
hex101230f19

4314042137 has 2 divisors, whose sum is σ = 4314042138. Its totient is φ = 4314042136.

The previous prime is 4314042097. The next prime is 4314042143. The reversal of 4314042137 is 7312404134.

4314042137 is digitally balanced in base 3, 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., 4125364441 + 188677696 = 64229^2 + 13736^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4314042137 is a prime.

It is a super-2 number, since 2×43140421372 = 37221919119623053538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4314042167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2157021068 + 2157021069.

It is an arithmetic number, because the mean of its divisors is an integer number (2157021069).

Almost surely, 24314042137 is an apocalyptic number.

It is an amenable number.

4314042137 is a deficient number, since it is larger than the sum of its proper divisors (1).

4314042137 is an equidigital number, since it uses as much as digits as its factorization.

4314042137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 4314042137 is about 65681.3682637626. The cubic root of 4314042137 is about 1627.9015158596.

The spelling of 4314042137 in words is "four billion, three hundred fourteen million, forty-two thousand, one hundred thirty-seven".