Search a number
-
+
411111312 = 2438564819
BaseRepresentation
bin11000100000010…
…000111110010000
31001122120121200220
4120200100332100
51320221030222
6104443313040
713121250153
oct3040207620
91048517626
10411111312
111a1075017
12b581b780
1367231c41
143c857c9a
152615ab5c
hex18810f90

411111312 has 20 divisors (see below), whose sum is σ = 1062037680. Its totient is φ = 137037088.

The previous prime is 411111307. The next prime is 411111313. The reversal of 411111312 is 213111114.

It is a super-4 number, since 4×4111113124 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 411111291 and 411111300.

It is not an unprimeable number, because it can be changed into a prime (411111313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4282362 + ... + 4282457.

It is an arithmetic number, because the mean of its divisors is an integer number (53101884).

Almost surely, 2411111312 is an apocalyptic number.

It is an amenable number.

411111312 is an abundant number, since it is smaller than the sum of its proper divisors (650926368).

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

411111312 is a wasteful number, since it uses less digits than its factorization.

411111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8564830 (or 8564824 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 411111312 is about 20275.8800548829. The cubic root of 411111312 is about 743.5664892728.

Adding to 411111312 its reverse (213111114), we get a palindrome (624222426).

The spelling of 411111312 in words is "four hundred eleven million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 8564819 17129638 25694457 34259276 51388914 68518552 102777828 137037104 205555656 411111312