Search a number
-
+
46144511441129 is a prime number
BaseRepresentation
bin10100111110111110110110…
…01101100111100011101001
320001101101001100020101202002
422133133123031213203221
522022012424412104004
6242050255041020345
712501555003405623
oct1237373315474351
9201341040211662
1046144511441129
11137808607a6102
1252131476246b5
131c9954106a82a
14b57598b3dc13
155504d09c461e
hex29f7db3678e9

46144511441129 has 2 divisors, whose sum is σ = 46144511441130. Its totient is φ = 46144511441128.

The previous prime is 46144511441111. The next prime is 46144511441183. The reversal of 46144511441129 is 92114411544164.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33555639754729 + 12588871686400 = 5792723^2 + 3548080^2 .

It is a cyclic number.

It is not a de Polignac number, because 46144511441129 - 28 = 46144511440873 is a prime.

It is a super-2 number, since 2×461445114411292 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (46144511441029) 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, 23072255720564 + 23072255720565.

It is an arithmetic number, because the mean of its divisors is an integer number (23072255720565).

Almost surely, 246144511441129 is an apocalyptic number.

It is an amenable number.

46144511441129 is a deficient number, since it is larger than the sum of its proper divisors (1).

46144511441129 is an equidigital number, since it uses as much as digits as its factorization.

46144511441129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 552960, while the sum is 47.

The spelling of 46144511441129 in words is "forty-six trillion, one hundred forty-four billion, five hundred eleven million, four hundred forty-one thousand, one hundred twenty-nine".