Search a number
-
+
41423222232414 = 232113735988317837
BaseRepresentation
bin10010110101100100110000…
…11100100101010101011110
312102200000120120122102221100
421122302120130211111132
520412134224342414124
6224033322100013530
711503505030315211
oct1132623034452536
9172600516572840
1041423222232414
111222054305a280
1247901213912a6
131a16268300359
14a32c74d01778
154bc7a69381c9
hex25ac9872555e

41423222232414 has 192 divisors, whose sum is σ = 100955590894080. Its totient is φ = 12164739874560.

The previous prime is 41423222232323. The next prime is 41423222232419.

41423222232414 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 3 + 2 + 2 + 2 + 232 + 414 = 666.

41423222232414 is nontrivially palindromic in base 10.

41423222232414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41423222232419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2322311104 + ... + 2322328940.

It is an arithmetic number, because the mean of its divisors is an integer number (525810369240).

Almost surely, 241423222232414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41423222232414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50477795447040).

41423222232414 is an abundant number, since it is smaller than the sum of its proper divisors (59532368661666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41423222232414 is a wasteful number, since it uses less digits than its factorization.

41423222232414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19135 (or 19132 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 4142322 and 2232414, that added together give a palindrome (6374736).

The spelling of 41423222232414 in words is "forty-one trillion, four hundred twenty-three billion, two hundred twenty-two million, two hundred thirty-two thousand, four hundred fourteen".