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11341332240 = 2435726611459
BaseRepresentation
bin10101000111111111…
…01111111100010000
31002021101201101001020
422203333233330100
5141211340112430
65113220035440
7551022506400
oct124377577420
932241641036
1011341332240
11489a982857
122246232b80
1310b98674a4
14798362800
15465a14b10
hex2a3feff10

11341332240 has 240 divisors, whose sum is σ = 40988180160. Its totient is φ = 2586608640.

The previous prime is 11341332221. The next prime is 11341332251. The reversal of 11341332240 is 4223314311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11341332240.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7772631 + ... + 7774089.

It is an arithmetic number, because the mean of its divisors is an integer number (170784084).

Almost surely, 211341332240 is an apocalyptic number.

11341332240 is a gapful number since it is divisible by the number (10) 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 11341332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20494090080).

11341332240 is an abundant number, since it is smaller than the sum of its proper divisors (29646847920).

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

11341332240 is a wasteful number, since it uses less digits than its factorization.

11341332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11341332240 its reverse (4223314311), we get a palindrome (15564646551).

The spelling of 11341332240 in words is "eleven billion, three hundred forty-one million, three hundred thirty-two thousand, two hundred forty".