Search a number
-
+
214614726105361 is a prime number
BaseRepresentation
bin110000110011000011100010…
…100000110101100100010001
31001010212222010021011201200211
4300303003202200311210101
5211112221424340332421
62040240351042244121
763130254660451111
oct6063034240654421
91033788107151624
10214614726105361
116242365998a43a
12200a1931656641
13929a10aa2b92a
143add5a0021041
1519c294ca6a9e1
hexc330e2835911

214614726105361 has 2 divisors, whose sum is σ = 214614726105362. Its totient is φ = 214614726105360.

The previous prime is 214614726105349. The next prime is 214614726105433. The reversal of 214614726105361 is 163501627416412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108489806232336 + 106124919873025 = 10415844^2 + 10301695^2 .

It is a cyclic number.

It is not a de Polignac number, because 214614726105361 - 211 = 214614726103313 is a prime.

It is a super-2 number, since 2×2146147261053612 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (214614726105331) 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, 107307363052680 + 107307363052681.

It is an arithmetic number, because the mean of its divisors is an integer number (107307363052681).

Almost surely, 2214614726105361 is an apocalyptic number.

It is an amenable number.

214614726105361 is a deficient number, since it is larger than the sum of its proper divisors (1).

214614726105361 is an equidigital number, since it uses as much as digits as its factorization.

214614726105361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 214614726105361 in words is "two hundred fourteen trillion, six hundred fourteen billion, seven hundred twenty-six million, one hundred five thousand, three hundred sixty-one".