Search a number
-
+
414014340361 is a prime number
BaseRepresentation
bin1100000011001010010…
…11010111110100001001
31110120122101000121211211
412001211023113310021
523240400132342421
6514110124053121
741624442554116
oct6014513276411
91416571017754
10414014340361
1114a645335776
12682a46941a1
133006cbcb52b
141607752d90d
15ab81e109e1
hex60652d7d09

414014340361 has 2 divisors, whose sum is σ = 414014340362. Its totient is φ = 414014340360.

The previous prime is 414014340353. The next prime is 414014340401. The reversal of 414014340361 is 163043410414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 269081850361 + 144932490000 = 518731^2 + 380700^2 .

It is a cyclic number.

It is not a de Polignac number, because 414014340361 - 23 = 414014340353 is a prime.

It is a super-2 number, since 2×4140143403612 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (414014320361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207007170180 + 207007170181.

It is an arithmetic number, because the mean of its divisors is an integer number (207007170181).

Almost surely, 2414014340361 is an apocalyptic number.

It is an amenable number.

414014340361 is a deficient number, since it is larger than the sum of its proper divisors (1).

414014340361 is an equidigital number, since it uses as much as digits as its factorization.

414014340361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 414014340361 its reverse (163043410414), we get a palindrome (577057750775).

The spelling of 414014340361 in words is "four hundred fourteen billion, fourteen million, three hundred forty thousand, three hundred sixty-one".