Search a number
-
+
401423642253113 is a prime number
BaseRepresentation
bin101101101000101111011100…
…1100110011101011100111001
31221122022201120211022210211212
41123101132321212131130321
5410103411104404044423
63541431250405132505
7150360621033262124
oct13321367146353471
91848281524283755
10401423642253113
111069a68a0a60647
12390327116ba135
13142cb1192b48bc
14711b017b673bb
153161e3bb65578
hex16d17b999d739

401423642253113 has 2 divisors, whose sum is σ = 401423642253114. Its totient is φ = 401423642253112.

The previous prime is 401423642253061. The next prime is 401423642253121. The reversal of 401423642253113 is 311352246324104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 353623398985129 + 47800243267984 = 18804877^2 + 6913772^2 .

It is a cyclic number.

It is not a de Polignac number, because 401423642253113 - 224 = 401423625475897 is a prime.

It is a super-2 number, since 2×4014236422531132 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401423642253133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200711821126556 + 200711821126557.

It is an arithmetic number, because the mean of its divisors is an integer number (200711821126557).

Almost surely, 2401423642253113 is an apocalyptic number.

It is an amenable number.

401423642253113 is a deficient number, since it is larger than the sum of its proper divisors (1).

401423642253113 is an equidigital number, since it uses as much as digits as its factorization.

401423642253113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 414720, while the sum is 41.

Adding to 401423642253113 its reverse (311352246324104), we get a palindrome (712775888577217).

The spelling of 401423642253113 in words is "four hundred one trillion, four hundred twenty-three billion, six hundred forty-two million, two hundred fifty-three thousand, one hundred thirteen".