Search a number
-
+
214044531563393 is a prime number
BaseRepresentation
bin110000101010110000100000…
…010001010001101110000001
31001001212110100102112211011122
4300222300200101101232001
5211023401200040012033
62035122411134322025
763041131013016146
oct6052604021215601
91031773312484148
10214044531563393
1162223859a35693
122000b320659315
13925840b07062b
143abdb4c4243cd
1519b2bc96e9a98
hexc2ac20451b81

214044531563393 has 2 divisors, whose sum is σ = 214044531563394. Its totient is φ = 214044531563392.

The previous prime is 214044531563383. The next prime is 214044531563479. The reversal of 214044531563393 is 393365135440412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176048501378929 + 37996030184464 = 13268327^2 + 6164092^2 .

It is a cyclic number.

It is not a de Polignac number, because 214044531563393 - 236 = 213975812086657 is a prime.

It is a super-2 number, since 2×2140445315633932 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (214044531563383) 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, 107022265781696 + 107022265781697.

It is an arithmetic number, because the mean of its divisors is an integer number (107022265781697).

Almost surely, 2214044531563393 is an apocalyptic number.

It is an amenable number.

214044531563393 is a deficient number, since it is larger than the sum of its proper divisors (1).

214044531563393 is an equidigital number, since it uses as much as digits as its factorization.

214044531563393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13996800, while the sum is 53.

The spelling of 214044531563393 in words is "two hundred fourteen trillion, forty-four billion, five hundred thirty-one million, five hundred sixty-three thousand, three hundred ninety-three".