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13204323444 = 223134710716831
BaseRepresentation
bin11000100110000100…
…11111110001110100
31021002020021010112110
430103002133301310
5204020301322234
610022130251020
7645133616544
oct142302376164
937066233473
1013204323444
115666550704
122686126a70
131325810b50
148d3955324
155243621e9
hex31309fc74

13204323444 has 96 divisors (see below), whose sum is σ = 34204778496. Its totient is φ = 3939027840.

The previous prime is 13204323443. The next prime is 13204323449. The reversal of 13204323444 is 44432340231.

It is a happy number.

13204323444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132043234442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13204323443) 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 31 ways as a sum of consecutive naturals, for example, 776109 + ... + 792939.

It is an arithmetic number, because the mean of its divisors is an integer number (356299776).

Almost surely, 213204323444 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 13204323444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17102389248).

13204323444 is an abundant number, since it is smaller than the sum of its proper divisors (21000455052).

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

13204323444 is a wasteful number, since it uses less digits than its factorization.

13204323444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17005 (or 17003 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 13204323444 its reverse (44432340231), we get a palindrome (57636663675).

The spelling of 13204323444 in words is "thirteen billion, two hundred four million, three hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 107 141 156 188 214 282 321 428 564 611 642 1222 1284 1391 1833 2444 2782 3666 4173 5029 5564 7332 8346 10058 15087 16692 16831 20116 30174 33662 50493 60348 65377 67324 100986 130754 196131 201972 218803 261508 392262 437606 656409 784524 791057 875212 1312818 1582114 1800917 2373171 2625636 3164228 3601834 4746342 5402751 7203668 9492684 10283741 10805502 20567482 21611004 23411921 30851223 41134964 46823842 61702446 70235763 84643099 93647684 123404892 140471526 169286198 253929297 280943052 338572396 507858594 1015717188 1100360287 2200720574 3301080861 4401441148 6602161722 13204323444