Search a number
-
+
42154342141 is a prime number
BaseRepresentation
bin100111010000100110…
…000011011011111101
311000210210211110100011
4213100212003123331
51142313002422031
631210533503221
73021423665452
oct472046033375
9130723743304
1042154342141
111697203319a
1282054a1b11
133c8a4b9022
14207c761829
15116abd56b1
hex9d09836fd

42154342141 has 2 divisors, whose sum is σ = 42154342142. Its totient is φ = 42154342140.

The previous prime is 42154342123. The next prime is 42154342151. The reversal of 42154342141 is 14124345124.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39771926041 + 2382416100 = 199429^2 + 48810^2 .

It is a cyclic number.

It is not a de Polignac number, because 42154342141 - 221 = 42152244989 is a prime.

It is a super-2 number, since 2×421543421412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42154342151) 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, 21077171070 + 21077171071.

It is an arithmetic number, because the mean of its divisors is an integer number (21077171071).

Almost surely, 242154342141 is an apocalyptic number.

It is an amenable number.

42154342141 is a deficient number, since it is larger than the sum of its proper divisors (1).

42154342141 is an equidigital number, since it uses as much as digits as its factorization.

42154342141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15360, while the sum is 31.

Adding to 42154342141 its reverse (14124345124), we get a palindrome (56278687265).

The spelling of 42154342141 in words is "forty-two billion, one hundred fifty-four million, three hundred forty-two thousand, one hundred forty-one".