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11441321444 = 2272349167261
BaseRepresentation
bin10101010011111010…
…01011010111100100
31002112100212100110002
422221331023113210
5141412434241234
65131151120432
7553345425200
oct125175132744
932470770402
1011441321444
114941367163
122273813118
1311044a60b7
147a774db00
1546e6b627e
hex2a9f4b5e4

11441321444 has 36 divisors (see below), whose sum is σ = 23358138300. Its totient is φ = 4889344320.

The previous prime is 11441321443. The next prime is 11441321459. The reversal of 11441321444 is 44412314411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8486094400 + 2955227044 = 92120^2 + 54362^2 .

It is not an unprimeable number, because it can be changed into a prime (11441321443) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15227 + ... + 152034.

It is an arithmetic number, because the mean of its divisors is an integer number (648837175).

Almost surely, 211441321444 is an apocalyptic number.

11441321444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11441321444 is an abundant number, since it is smaller than the sum of its proper divisors (11916816856).

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

11441321444 is a wasteful number, since it uses less digits than its factorization.

11441321444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167628 (or 167619 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

Adding to 11441321444 its reverse (44412314411), we get a palindrome (55853635855).

The spelling of 11441321444 in words is "eleven billion, four hundred forty-one million, three hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 349 698 1396 2443 4886 9772 17101 34202 68404 167261 334522 669044 1170827 2341654 4683308 8195789 16391578 32783156 58374089 116748178 233496356 408618623 817237246 1634474492 2860330361 5720660722 11441321444