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1324144444 = 227233720047
BaseRepresentation
bin100111011101100…
…1101011100111100
310102021121111200211
41032323031130330
510202440110234
6335221002204
744546020300
oct11673153474
93367544624
101324144444
1161a499357
1230b553364
1318143c92c
14c7c07d00
157b3ae164
hex4eecd73c

1324144444 has 36 divisors (see below), whose sum is σ = 2703713376. Its totient is φ = 565778304.

The previous prime is 1324144429. The next prime is 1324144457. The reversal of 1324144444 is 4444414231.

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 11 ways as a sum of consecutive naturals, for example, 56029 + ... + 76075.

Almost surely, 21324144444 is an apocalyptic number.

1324144444 is a gapful number since it is divisible by the number (14) 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 1324144444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351856688).

1324144444 is an abundant number, since it is smaller than the sum of its proper divisors (1379568932).

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

1324144444 is a wasteful number, since it uses less digits than its factorization.

1324144444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20402 (or 20393 counting only the distinct ones).

The product of its digits is 24576, while the sum is 31.

The square root of 1324144444 is about 36388.7955832561. The cubic root of 1324144444 is about 1098.1081652737.

Adding to 1324144444 its reverse (4444414231), we get a palindrome (5768558675).

The spelling of 1324144444 in words is "one billion, three hundred twenty-four million, one hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 337 674 1348 2359 4718 9436 16513 20047 33026 40094 66052 80188 140329 280658 561316 982303 1964606 3929212 6755839 13511678 27023356 47290873 94581746 189163492 331036111 662072222 1324144444