Search a number
-
+
41434322343414 = 2371113371091710593
BaseRepresentation
bin10010110101111001011100…
…00100001001010111110110
312102201002020011110111122120
421122330232010021113312
520412324443004442124
6224042355341540410
711504350063564650
oct1132745604112766
9172632204414576
1041434322343414
1112225219854a30
1247922ba874706
131a17316ba9b80
14a336091d16d0
154bcc0619ed79
hex25af2e1095f6

41434322343414 has 256 divisors, whose sum is σ = 115319762933760. Its totient is φ = 9577125642240.

The previous prime is 41434322343409. The next prime is 41434322343443.

41434322343414 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23366902 + ... + 25077494.

It is an arithmetic number, because the mean of its divisors is an integer number (450467823960).

Almost surely, 241434322343414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41434322343414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57659881466880).

41434322343414 is an abundant number, since it is smaller than the sum of its proper divisors (73885440590346).

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

41434322343414 is a wasteful number, since it uses less digits than its factorization.

41434322343414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710775.

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 4143432 and 2343414, that added together give a palindrome (6486846).

The spelling of 41434322343414 in words is "forty-one trillion, four hundred thirty-four billion, three hundred twenty-two million, three hundred forty-three thousand, four hundred fourteen".