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4042413330181 is a prime number
BaseRepresentation
bin111010110100110010100…
…111000100111100000101
3112022110011201212010001221
4322310302213010330011
51012212330303031211
612333020430520341
7565024525240012
oct72646247047405
915273151763057
104042413330181
111319417a37366
125535440660b1
13234275b53205
14dd92223a709
157024479cc71
hex3ad329c4f05

4042413330181 has 2 divisors, whose sum is σ = 4042413330182. Its totient is φ = 4042413330180.

The previous prime is 4042413330121. The next prime is 4042413330209. The reversal of 4042413330181 is 1810333142404.

4042413330181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2285372945025 + 1757040385156 = 1511745^2 + 1325534^2 .

It is a cyclic number.

It is not a de Polignac number, because 4042413330181 - 215 = 4042413297413 is a prime.

It is a super-2 number, since 2×40424133301812 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4042413330121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2021206665090 + 2021206665091.

It is an arithmetic number, because the mean of its divisors is an integer number (2021206665091).

Almost surely, 24042413330181 is an apocalyptic number.

It is an amenable number.

4042413330181 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042413330181 is an equidigital number, since it uses as much as digits as its factorization.

4042413330181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 4042413330181 its reverse (1810333142404), we get a palindrome (5852746472585).

The spelling of 4042413330181 in words is "four trillion, forty-two billion, four hundred thirteen million, three hundred thirty thousand, one hundred eighty-one".