Search a number
-
+
41232422423214 = 2321129371033187877
BaseRepresentation
bin10010110000000001010111…
…11001000100101010101110
312101222210002102010212121100
421120000223321010222232
520401023000120020324
6223405525141543530
711453641602563001
oct1130005371045256
9171883072125540
1041232422423214
1112157632592650
12475b152a14ba6
131a0127c084579
14a27934a67538
154b783b0364c9
hex25802be44aae

41232422423214 has 192 divisors, whose sum is σ = 103644717359040. Its totient is φ = 11726348175360.

The previous prime is 41232422423209. The next prime is 41232422423263.

41232422423214 is a `hidden beast` number, since 4 + 1 + 2 + 324 + 2 + 2 + 4 + 2 + 321 + 4 = 666.

41232422423214 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×412324224232142 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219371044 + ... + 219558920.

It is an arithmetic number, because the mean of its divisors is an integer number (539816236245).

Almost surely, 241232422423214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41232422423214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51822358679520).

41232422423214 is an abundant number, since it is smaller than the sum of its proper divisors (62412294935826).

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

41232422423214 is a wasteful number, since it uses less digits than its factorization.

41232422423214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188995 (or 188992 counting only the distinct ones).

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

It can be divided in two parts, 4123242 and 2423214, that added together give a palindrome (6546456).

The spelling of 41232422423214 in words is "forty-one trillion, two hundred thirty-two billion, four hundred twenty-two million, four hundred twenty-three thousand, two hundred fourteen".