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11440200112 = 24111034211499
BaseRepresentation
bin10101010011110001…
…11001100110110000
31002112021202101021021
422221320321212300
5141412142400422
65131111105224
7553333045045
oct125170714660
932467671237
1011440200112
114940770740
122273372214
1311041a28a3
147a753b1cc
1546e543dc7
hex2a9e399b0

11440200112 has 80 divisors (see below), whose sum is σ = 24489504000. Its totient is φ = 5133945600.

The previous prime is 11440200077. The next prime is 11440200119. The reversal of 11440200112 is 21100204411.

It is a happy number.

11440200112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11440200119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7631139 + ... + 7632637.

It is an arithmetic number, because the mean of its divisors is an integer number (306118800).

Almost surely, 211440200112 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 11440200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12244752000).

11440200112 is an abundant number, since it is smaller than the sum of its proper divisors (13049303888).

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

11440200112 is a wasteful number, since it uses less digits than its factorization.

11440200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11440200112 its reverse (21100204411), we get a palindrome (32540404523).

The spelling of 11440200112 in words is "eleven billion, four hundred forty million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 206 412 421 824 842 1133 1499 1648 1684 2266 2998 3368 4532 4631 5996 6736 9064 9262 11992 16489 18128 18524 23984 32978 37048 43363 65956 74096 86726 131912 154397 173452 263824 308794 346904 476993 617588 631079 693808 953986 1235176 1262158 1698367 1907972 2470352 2524316 3396734 3815944 5048632 6793468 6941869 7631888 10097264 13586936 13883738 27173872 27767476 55534952 65001137 111069904 130002274 260004548 520009096 715012507 1040018192 1430025014 2860050028 5720100056 11440200112