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41114214 = 23219239503
BaseRepresentation
bin1001110011010…
…1101001100110
32212100211002200
42130311221212
541011123324
64025115330
71006315341
oct234655146
985324080
1041114214
1121231799
1211928b46
138696a4b
145663458
153921ec9
hex2735a66

41114214 has 48 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 12903408.

The previous prime is 41114191. The next prime is 41114251. The reversal of 41114214 is 41241114.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81487 + ... + 81989.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 241114214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41114214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

41114214 is an abundant number, since it is smaller than the sum of its proper divisors (53234586).

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

41114214 is a wasteful number, since it uses less digits than its factorization.

41114214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 766 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 41114214 is about 6412.0366499264. The cubic root of 41114214 is about 345.1416179782.

Adding to 41114214 its reverse (41241114), we get a palindrome (82355328).

It can be divided in two parts, 41114 and 214, that added together give a triangular number (41328 = T287).

The spelling of 41114214 in words is "forty-one million, one hundred fourteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 239 342 478 503 717 1006 1434 1509 2151 3018 4302 4527 4541 9054 9082 9557 13623 19114 27246 28671 40869 57342 81738 86013 120217 172026 240434 360651 721302 1081953 2163906 2284123 4568246 6852369 13704738 20557107 41114214