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11343442240 = 265132375669
BaseRepresentation
bin10101001000001111…
…10011000101000000
31002021112200120102101
422210013303011000
5141212410122430
65113333200144
7551046445114
oct124407630500
932245616371
1011343442240
1148a1094059
122246a90054
1310ba125a00
14798751744
15465ccedca
hex2a41f3140

11343442240 has 168 divisors, whose sum is σ = 30045035160. Its totient is φ = 4074430464.

The previous prime is 11343442237. The next prime is 11343442241. The reversal of 11343442240 is 4224434311.

It can be written as a sum of positive squares in 12 ways, for example, as 5418137664 + 5925304576 = 73608^2 + 76976^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11343442199 and 11343442208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11343442241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1998126 + ... + 2003794.

It is an arithmetic number, because the mean of its divisors is an integer number (178839495).

Almost surely, 211343442240 is an apocalyptic number.

11343442240 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 11343442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15022517580).

11343442240 is an abundant number, since it is smaller than the sum of its proper divisors (18701592920).

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

11343442240 is a wasteful number, since it uses less digits than its factorization.

11343442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 11343442240 its reverse (4224434311), we get a palindrome (15567876551).

The spelling of 11343442240 in words is "eleven billion, three hundred forty-three million, four hundred forty-two thousand, two hundred forty".