Search a number
-
+
114254033225153 is a prime number
BaseRepresentation
bin11001111110100111010111…
…000100001000010111000001
3112222112120122000120101221212
4121332213113010020113001
5104433414230001201103
61042555324523255505
733031403311356443
oct3176472704102701
9488476560511855
10114254033225153
113344a955182838
121099324467a595
134b9a155911423
14202dcd35b4493
15d320226217d8
hex67e9d71085c1

114254033225153 has 2 divisors, whose sum is σ = 114254033225154. Its totient is φ = 114254033225152.

The previous prime is 114254033225113. The next prime is 114254033225209. The reversal of 114254033225153 is 351522330452411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107588486565169 + 6665546659984 = 10372487^2 + 2581772^2 .

It is a cyclic number.

It is not a de Polignac number, because 114254033225153 - 28 = 114254033224897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114254033225153.

It is not a weakly prime, because it can be changed into another prime (114254033225113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57127016612576 + 57127016612577.

It is an arithmetic number, because the mean of its divisors is an integer number (57127016612577).

Almost surely, 2114254033225153 is an apocalyptic number.

It is an amenable number.

114254033225153 is a deficient number, since it is larger than the sum of its proper divisors (1).

114254033225153 is an equidigital number, since it uses as much as digits as its factorization.

114254033225153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432000, while the sum is 41.

Adding to 114254033225153 its reverse (351522330452411), we get a palindrome (465776363677564).

The spelling of 114254033225153 in words is "one hundred fourteen trillion, two hundred fifty-four billion, thirty-three million, two hundred twenty-five thousand, one hundred fifty-three".