Search a number
-
+
12404133616157 is a prime number
BaseRepresentation
bin1011010010000000111111…
…1110100101101000011101
31121220211020101202221010222
42310200033332211220131
53111212131201204112
642214214052011125
72420111665041413
oct264401776455035
947824211687128
1012404133616157
113a526220621a8
121484007300aa5
136bc92153303a
1430c512b572b3
151679d7684372
hexb480ffa5a1d

12404133616157 has 2 divisors, whose sum is σ = 12404133616158. Its totient is φ = 12404133616156.

The previous prime is 12404133616141. The next prime is 12404133616307. The reversal of 12404133616157 is 75161633140421.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10488860299801 + 1915273316356 = 3238651^2 + 1383934^2 .

It is an emirp because it is prime and its reverse (75161633140421) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12404133616157 - 24 = 12404133616141 is a prime.

It is a super-2 number, since 2×124041336161572 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12404133616657) 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, 6202066808078 + 6202066808079.

It is an arithmetic number, because the mean of its divisors is an integer number (6202066808079).

Almost surely, 212404133616157 is an apocalyptic number.

It is an amenable number.

12404133616157 is a deficient number, since it is larger than the sum of its proper divisors (1).

12404133616157 is an equidigital number, since it uses as much as digits as its factorization.

12404133616157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 44.

Adding to 12404133616157 its reverse (75161633140421), we get a palindrome (87565766756578).

The spelling of 12404133616157 in words is "twelve trillion, four hundred four billion, one hundred thirty-three million, six hundred sixteen thousand, one hundred fifty-seven".