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11464243440 = 2435132535333
BaseRepresentation
bin10101010110101001…
…00111100011110000
31002120221222220111220
422223110213203300
5141434321242230
65133330305040
7554044314156
oct125324474360
932527886456
1011464243440
1149532a2861
12227b428180
131109170500
147aa7d93d6
154716e2d10
hex2ab5278f0

11464243440 has 240 divisors, whose sum is σ = 39216677472. Its totient is φ = 2768203776.

The previous prime is 11464243411. The next prime is 11464243457. The reversal of 11464243440 is 4434246411.

11464243440 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 (240).

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 47 ways as a sum of consecutive naturals, for example, 2147014 + ... + 2152346.

Almost surely, 211464243440 is an apocalyptic number.

11464243440 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 11464243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19608338736).

11464243440 is an abundant number, since it is smaller than the sum of its proper divisors (27752434032).

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

11464243440 is a wasteful number, since it uses less digits than its factorization.

11464243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 11464243440 its reverse (4434246411), we get a palindrome (15898489851).

The spelling of 11464243440 in words is "eleven billion, four hundred sixty-four million, two hundred forty-three thousand, four hundred forty".