Search a number
-
+
11244030336 = 2733711293147
BaseRepresentation
bin10100111100011001…
…00100100110000000
31002000121121220221000
422132030210212000
5141011432432321
65055422332000
7545431452360
oct123614444600
932017556830
1011244030336
11484aa64460
12221972a000
1310a2659ab6
147894749a0
1545c1e4826
hex29e324980

11244030336 has 1024 divisors, whose sum is σ = 45121536000. Its totient is φ = 2670796800.

The previous prime is 11244030331. The next prime is 11244030361. The reversal of 11244030336 is 63303044211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11244030331) 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 127 ways as a sum of consecutive naturals, for example, 239234665 + ... + 239234711.

It is an arithmetic number, because the mean of its divisors is an integer number (44064000).

Almost surely, 211244030336 is an apocalyptic number.

11244030336 is a gapful number since it is divisible by the number (16) 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 11244030336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22560768000).

11244030336 is an abundant number, since it is smaller than the sum of its proper divisors (33877505664).

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

11244030336 is a wasteful number, since it uses less digits than its factorization.

11244030336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11244030336 its reverse (63303044211), we get a palindrome (74547074547).

The spelling of 11244030336 in words is "eleven billion, two hundred forty-four million, thirty thousand, three hundred thirty-six".