Search a number
-
+
214814028529 is a prime number
BaseRepresentation
bin1100100000001111101…
…0011111001011110001
3202112110202111022021201
43020003322133023301
512004414342403104
6242403442051201
721343202054362
oct3100372371361
9675422438251
10214814028529
1183113a12091
1235770949b01
1317345483329
14a57b735b69
1558c3ca10a4
hex3203e9f2f1

214814028529 has 2 divisors, whose sum is σ = 214814028530. Its totient is φ = 214814028528.

The previous prime is 214814028449. The next prime is 214814028571. The reversal of 214814028529 is 925820418412.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199344390400 + 15469638129 = 446480^2 + 124377^2 .

It is a cyclic number.

It is not a de Polignac number, because 214814028529 - 215 = 214813995761 is a prime.

It is a super-2 number, since 2×2148140285292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (214814028599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107407014264 + 107407014265.

It is an arithmetic number, because the mean of its divisors is an integer number (107407014265).

Almost surely, 2214814028529 is an apocalyptic number.

It is an amenable number.

214814028529 is a deficient number, since it is larger than the sum of its proper divisors (1).

214814028529 is an equidigital number, since it uses as much as digits as its factorization.

214814028529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 214814028529 in words is "two hundred fourteen billion, eight hundred fourteen million, twenty-eight thousand, five hundred twenty-nine".