Search a number
-
+
2414144093 is a prime number
BaseRepresentation
bin1000111111100100…
…1110101001011101
320020020122020010012
42033321032221131
514421010102333
61035315253005
7113552612654
oct21771165135
96206566105
102414144093
1110297a3209
125745aa165
132c61cb83a
1418c8a219b
15e1e1be48
hex8fe4ea5d

2414144093 has 2 divisors, whose sum is σ = 2414144094. Its totient is φ = 2414144092.

The previous prime is 2414144081. The next prime is 2414144171. The reversal of 2414144093 is 3904414142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2383197124 + 30946969 = 48818^2 + 5563^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2414144093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2414144893) 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, 1207072046 + 1207072047.

It is an arithmetic number, because the mean of its divisors is an integer number (1207072047).

Almost surely, 22414144093 is an apocalyptic number.

It is an amenable number.

2414144093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2414144093 is an equidigital number, since it uses as much as digits as its factorization.

2414144093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2414144093 is about 49133.9403365942. The cubic root of 2414144093 is about 1341.4908951802.

The spelling of 2414144093 in words is "two billion, four hundred fourteen million, one hundred forty-four thousand, ninety-three".