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42141444133 is a prime number
BaseRepresentation
bin100111001111110100…
…110110100000100101
311000202220120011121011
4213033310312200211
51142301202203013
631205353222221
73021206236105
oct471764664045
9130686504534
1042141444133
1116965823788
128201101971
133c87921379
14207ab65205
1511699d8c3d
hex9cfd36825

42141444133 has 2 divisors, whose sum is σ = 42141444134. Its totient is φ = 42141444132.

The previous prime is 42141444119. The next prime is 42141444179. The reversal of 42141444133 is 33144414124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29672818564 + 12468625569 = 172258^2 + 111663^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42141444133 is a prime.

It is a super-2 number, since 2×421414441332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42141444095 and 42141444104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42141445133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21070722066 + 21070722067.

It is an arithmetic number, because the mean of its divisors is an integer number (21070722067).

Almost surely, 242141444133 is an apocalyptic number.

It is an amenable number.

42141444133 is a deficient number, since it is larger than the sum of its proper divisors (1).

42141444133 is an equidigital number, since it uses as much as digits as its factorization.

42141444133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18432, while the sum is 31.

Adding to 42141444133 its reverse (33144414124), we get a palindrome (75285858257).

The spelling of 42141444133 in words is "forty-two billion, one hundred forty-one million, four hundred forty-four thousand, one hundred thirty-three".