Search a number
-
+
414207108149 is a prime number
BaseRepresentation
bin1100000011100001010…
…10101110010000110101
31110121010210202020112112
412001300222232100311
523241244004430044
6514141211500405
741632303220252
oct6016052562065
91417123666475
10414207108149
1114a734128a9a
1268339157705
13300a0b22a03
1416094d8c429
15ab93cdc09e
hex6070aae435

414207108149 has 2 divisors, whose sum is σ = 414207108150. Its totient is φ = 414207108148.

The previous prime is 414207108137. The next prime is 414207108179. The reversal of 414207108149 is 941801702414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 396891180049 + 17315928100 = 629993^2 + 131590^2 .

It is a cyclic number.

It is not a de Polignac number, because 414207108149 - 236 = 345487631413 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414207108179) 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, 207103554074 + 207103554075.

It is an arithmetic number, because the mean of its divisors is an integer number (207103554075).

Almost surely, 2414207108149 is an apocalyptic number.

It is an amenable number.

414207108149 is a deficient number, since it is larger than the sum of its proper divisors (1).

414207108149 is an equidigital number, since it uses as much as digits as its factorization.

414207108149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 414207108149 in words is "four hundred fourteen billion, two hundred seven million, one hundred eight thousand, one hundred forty-nine".