Search a number
-
+
11411020240 = 2451131262281
BaseRepresentation
bin10101010000010011…
…00101100111010000
31002110020211220000021
422220021211213100
5141332210121430
65124145433224
7552530033404
oct125011454720
932406756007
1011411020240
114926250444
12226563b814
1310cb126ca9
147a3703104
1546bbcd07a
hex2a82659d0

11411020240 has 40 divisors (see below), whose sum is σ = 26765427528. Its totient is φ = 4524011520.

The previous prime is 11411020223. The next prime is 11411020259. The reversal of 11411020240 is 4202011411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 580039056 + 10830981184 = 24084^2 + 104072^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×114110202402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 622101 + ... + 640180.

Almost surely, 211411020240 is an apocalyptic number.

11411020240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11411020240 is an abundant number, since it is smaller than the sum of its proper divisors (15354407288).

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

11411020240 is a wasteful number, since it uses less digits than its factorization.

11411020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262407 (or 1262401 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11411020240 its reverse (4202011411), we get a palindrome (15613031651).

The spelling of 11411020240 in words is "eleven billion, four hundred eleven million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 1262281 2524562 5049124 6311405 10098248 12622810 20196496 25245620 50491240 100982480 142637753 285275506 570551012 713188765 1141102024 1426377530 2282204048 2852755060 5705510120 11411020240