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13044440032 = 2513257122011
BaseRepresentation
bin11000010011000001…
…00101101111100000
31020200002102012201121
430021200211233200
5203203334040112
65554215342024
7641152624261
oct141140455740
936602365647
1013044440032
115594278958
122640681914
1312cb661490
148ba616968
155152ce407
hex309825be0

13044440032 has 48 divisors (see below), whose sum is σ = 27764562672. Its totient is φ = 5997035520.

The previous prime is 13044440027. The next prime is 13044440039. The reversal of 13044440032 is 23004444031.

It is a super-2 number, since 2×130444400322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13044439979 and 13044440006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044440039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45907 + ... + 167917.

It is an arithmetic number, because the mean of its divisors is an integer number (578428389).

Almost surely, 213044440032 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 13044440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13882281336).

13044440032 is an abundant number, since it is smaller than the sum of its proper divisors (14720122640).

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

13044440032 is a wasteful number, since it uses less digits than its factorization.

13044440032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122291 (or 122283 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 13044440032 its reverse (23004444031), we get a palindrome (36048884063).

The spelling of 13044440032 in words is "thirteen billion, forty-four million, four hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 257 416 514 1028 2056 3341 4112 6682 8224 13364 26728 53456 106912 122011 244022 488044 976088 1586143 1952176 3172286 3904352 6344572 12689144 25378288 31356827 50756576 62713654 125427308 250854616 407638751 501709232 815277502 1003418464 1630555004 3261110008 6522220016 13044440032