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11142443411424 = 2533139413105389
BaseRepresentation
bin1010001000100100110101…
…1000011010011111100000
31110110012121001001201102000
42202021031120122133200
52430024211003131144
635410433504124000
72230005064203153
oct242111530323740
943405531051360
1011142443411424
113606535906236
1212bb591906600
1362a960291210
142a74234c3c9a
15144c91b79769
hexa224d61a7e0

11142443411424 has 192 divisors, whose sum is σ = 35002750708800. Its totient is φ = 3428047374336.

The previous prime is 11142443411389. The next prime is 11142443411447. The reversal of 11142443411424 is 42411434424111.

11142443411424 is a `hidden beast` number, since 1 + 1 + 142 + 443 + 41 + 14 + 24 = 666.

It is a super-2 number, since 2×111424434114242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105674122 + ... + 105779510.

It is an arithmetic number, because the mean of its divisors is an integer number (182305993275).

Almost surely, 211142443411424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11142443411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17501375354400).

11142443411424 is an abundant number, since it is smaller than the sum of its proper divisors (23860307297376).

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

11142443411424 is a wasteful number, since it uses less digits than its factorization.

11142443411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114834 (or 114820 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 11142443411424 its reverse (42411434424111), we get a palindrome (53553877835535).

The spelling of 11142443411424 in words is "eleven trillion, one hundred forty-two billion, four hundred forty-three million, four hundred eleven thousand, four hundred twenty-four".