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14141616 = 2431012917
BaseRepresentation
bin110101111100…
…100010110000
3222121110122120
4311330202300
512110012431
61223034240
7231126126
oct65744260
928543576
1014141616
117a89895
12489b980
132c11a28
141c41916
151395196
hexd7c8b0

14141616 has 40 divisors (see below), whose sum is σ = 36906864. Its totient is φ = 4665600.

The previous prime is 14141587. The next prime is 14141641. The reversal of 14141616 is 61614141.

14141616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3390 + ... + 6306.

Almost surely, 214141616 is an apocalyptic number.

14141616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14141616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18453432).

14141616 is an abundant number, since it is smaller than the sum of its proper divisors (22765248).

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

14141616 is a wasteful number, since it uses less digits than its factorization.

14141616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 3023 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 14141616 is about 3760.5340046329. The cubic root of 14141616 is about 241.8241556623.

Adding to 14141616 its reverse (61614141), we get a palindrome (75755757).

The spelling of 14141616 in words is "fourteen million, one hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 2917 4848 5834 8751 11668 17502 23336 35004 46672 70008 140016 294617 589234 883851 1178468 1767702 2356936 3535404 4713872 7070808 14141616