Search a number
-
+
114254104410401 is a prime number
BaseRepresentation
bin11001111110100111011011…
…010011101011100100100001
3112222112120210222111222202112
4121332213123103223210201
5104433414401212113101
61042555335545125105
733031405134420554
oct3176473323534441
9488476728458675
10114254104410401
113344a99138331a
1210993264489795
134b9a1675a6587
14202dcdcc2469b
15d320289d36bb
hex67e9db4eb921

114254104410401 has 2 divisors, whose sum is σ = 114254104410402. Its totient is φ = 114254104410400.

The previous prime is 114254104410377. The next prime is 114254104410409. The reversal of 114254104410401 is 104014401452411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85037906560000 + 29216197850401 = 9221600^2 + 5405201^2 .

It is a cyclic number.

It is not a de Polignac number, because 114254104410401 - 230 = 114253030668577 is a prime.

It is not a weakly prime, because it can be changed into another prime (114254104410409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57127052205200 + 57127052205201.

It is an arithmetic number, because the mean of its divisors is an integer number (57127052205201).

Almost surely, 2114254104410401 is an apocalyptic number.

It is an amenable number.

114254104410401 is a deficient number, since it is larger than the sum of its proper divisors (1).

114254104410401 is an equidigital number, since it uses as much as digits as its factorization.

114254104410401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10240, while the sum is 32.

Adding to 114254104410401 its reverse (104014401452411), we get a palindrome (218268505862812).

The spelling of 114254104410401 in words is "one hundred fourteen trillion, two hundred fifty-four billion, one hundred four million, four hundred ten thousand, four hundred one".