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11324322240 = 2635711219733
BaseRepresentation
bin10101000101111101…
…10111000111000000
31002020012201011201020
422202332313013000
5141143011302430
65111411305440
7550425102510
oct124276670700
932205634636
1011324322240
114891314a00
1222405ab280
1310b618ccba
14795db5840
154642a4b10
hex2a2fb71c0

11324322240 has 672 divisors, whose sum is σ = 47608296960. Its totient is φ = 2226216960.

The previous prime is 11324322223. The next prime is 11324322263. The reversal of 11324322240 is 4222342311.

It is a happy number.

11324322240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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 11324322240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15448914 + ... + 15449646.

It is an arithmetic number, because the mean of its divisors is an integer number (70845680).

Almost surely, 211324322240 is an apocalyptic number.

11324322240 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 11324322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23804148480).

11324322240 is an abundant number, since it is smaller than the sum of its proper divisors (36283974720).

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

11324322240 is a wasteful number, since it uses less digits than its factorization.

11324322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11324322240 its reverse (4222342311), we get a palindrome (15546664551).

The spelling of 11324322240 in words is "eleven billion, three hundred twenty-four million, three hundred twenty-two thousand, two hundred forty".