Search a number
-
+
41424211242414 = 232711133762136379
BaseRepresentation
bin10010110101100110100110…
…11001010110110110101110
312102200010010111122100121100
421122303103121112312232
520412143241034224124
6224034004145543530
711503541366624250
oct1132632331266656
9172603114570540
1041424211242414
1112220a00357110
124790358644ba6
131a16395190180
14a32d2a3cbcd0
154bc8136981c9
hex25acd3656dae

41424211242414 has 192 divisors, whose sum is σ = 123763738775040. Its totient is φ = 9663449506560.

The previous prime is 41424211242413. The next prime is 41424211242439.

41424211242414 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 4 + 211 + 2 + 424 + 14 = 666.

41424211242414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×414242112424142 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41424211242413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30401524 + ... + 31734855.

It is an arithmetic number, because the mean of its divisors is an integer number (644602806120).

Almost surely, 241424211242414 is an apocalyptic number.

41424211242414 is an abundant number, since it is smaller than the sum of its proper divisors (82339527532626).

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

41424211242414 is a wasteful number, since it uses less digits than its factorization.

41424211242414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62136455 (or 62136452 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 4142421 and 1242414, that added together give a palindrome (5384835).

The spelling of 41424211242414 in words is "forty-one trillion, four hundred twenty-four billion, two hundred eleven million, two hundred forty-two thousand, four hundred fourteen".