Search a number
-
+
42113415324349 is a prime number
BaseRepresentation
bin10011001001101010010110…
…01010010010001010111101
312112010000002022201021220001
421210311023022102022331
521004441233310334344
6225322345205154301
711604410455643065
oct1144651312221275
9175100068637801
1042113415324349
1112467221068776
124881a416bb991
131a6637ca889c5
14a5842b9883a5
154d06eea74ed4
hex264d4b2922bd

42113415324349 has 2 divisors, whose sum is σ = 42113415324350. Its totient is φ = 42113415324348.

The previous prime is 42113415324329. The next prime is 42113415324373. The reversal of 42113415324349 is 94342351431124.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34042032048025 + 8071383276324 = 5834555^2 + 2841018^2 .

It is a cyclic number.

It is not a de Polignac number, because 42113415324349 - 213 = 42113415316157 is a prime.

It is a super-2 number, since 2×421134153243492 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42113415324299 and 42113415324308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42113415324329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21056707662174 + 21056707662175.

It is an arithmetic number, because the mean of its divisors is an integer number (21056707662175).

Almost surely, 242113415324349 is an apocalyptic number.

It is an amenable number.

42113415324349 is a deficient number, since it is larger than the sum of its proper divisors (1).

42113415324349 is an equidigital number, since it uses as much as digits as its factorization.

42113415324349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1244160, while the sum is 46.

The spelling of 42113415324349 in words is "forty-two trillion, one hundred thirteen billion, four hundred fifteen million, three hundred twenty-four thousand, three hundred forty-nine".