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41114100 = 22352197213
BaseRepresentation
bin1001110011010…
…1100111110100
32212100210221110
42130311213310
541011122400
64025115020
71006315116
oct234654764
985323843
1041114100
11212316a5
1211928a70
138696991
1456633b6
153921e50
hex27359f4

41114100 has 72 divisors (see below), whose sum is σ = 125235040. Its totient is φ = 10385280.

The previous prime is 41114077. The next prime is 41114113. The reversal of 41114100 is 141114.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2094 + ... + 9306.

Almost surely, 241114100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62617520).

41114100 is an abundant number, since it is smaller than the sum of its proper divisors (84120940).

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

41114100 is a wasteful number, since it uses less digits than its factorization.

41114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 41114100 is about 6412.0277603891. The cubic root of 41114100 is about 345.1412989792.

Adding to 41114100 its reverse (141114), we get a palindrome (41255214).

It can be divided in two parts, 41114 and 100, that added together give a palindrome (41214).

The spelling of 41114100 in words is "forty-one million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 7213 14426 21639 28852 36065 43278 72130 86556 108195 137047 144260 180325 216390 274094 360650 411141 432780 540975 548188 685235 721300 822282 1081950 1370470 1644564 2055705 2163900 2740940 3426175 4111410 6852350 8222820 10278525 13704700 20557050 41114100