Search a number
-
+
14214202314401 is a prime number
BaseRepresentation
bin1100111011011000000001…
…1110101100111010100001
31212022212100012100222000102
43032312000132230322201
53330341141243030101
650121525302032145
72664641120110025
oct316660036547241
955285305328012
1014214202314401
114590233708901
121716983718655
137c151676984b
14371d8484c385
15199b2611a86b
hexced807acea1

14214202314401 has 2 divisors, whose sum is σ = 14214202314402. Its totient is φ = 14214202314400.

The previous prime is 14214202314359. The next prime is 14214202314409. The reversal of 14214202314401 is 10441320241241.

14214202314401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7153485160000 + 7060717154401 = 2674600^2 + 2657201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14214202314401 is a prime.

It is not a weakly prime, because it can be changed into another prime (14214202314409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7107101157200 + 7107101157201.

It is an arithmetic number, because the mean of its divisors is an integer number (7107101157201).

Almost surely, 214214202314401 is an apocalyptic number.

It is an amenable number.

14214202314401 is a deficient number, since it is larger than the sum of its proper divisors (1).

14214202314401 is an equidigital number, since it uses as much as digits as its factorization.

14214202314401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 14214202314401 its reverse (10441320241241), we get a palindrome (24655522555642).

The spelling of 14214202314401 in words is "fourteen trillion, two hundred fourteen billion, two hundred two million, three hundred fourteen thousand, four hundred one".