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4114400117 is a prime number
BaseRepresentation
bin1111010100111100…
…1100001101110101
3101121201222011220112
43311033030031311
531411241300432
61520133512405
7203646552422
oct36517141565
911551864815
104114400117
111821520783
12969aa2705
135075377a9
142b0612d49
151913217b2
hexf53cc375

4114400117 has 2 divisors, whose sum is σ = 4114400118. Its totient is φ = 4114400116.

The previous prime is 4114400107. The next prime is 4114400131. The reversal of 4114400117 is 7110044114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2336175556 + 1778224561 = 48334^2 + 42169^2 .

It is a cyclic number.

It is not a de Polignac number, because 4114400117 - 224 = 4097622901 is a prime.

It is a super-2 number, since 2×41144001172 = 33856576645539227378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4114400092 and 4114400101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4114400107) 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, 2057200058 + 2057200059.

It is an arithmetic number, because the mean of its divisors is an integer number (2057200059).

Almost surely, 24114400117 is an apocalyptic number.

It is an amenable number.

4114400117 is a deficient number, since it is larger than the sum of its proper divisors (1).

4114400117 is an equidigital number, since it uses as much as digits as its factorization.

4114400117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 4114400117 is about 64143.5898356180. The cubic root of 4114400117 is about 1602.3922699379.

The spelling of 4114400117 in words is "four billion, one hundred fourteen million, four hundred thousand, one hundred seventeen".