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44013405203404 = 22713219334811809
BaseRepresentation
bin10100000000111101010110…
…11000011110101111001100
312202211122021212212121021121
422000132223120132233030
521232103423213002104
6233335251302210324
712161602132310410
oct1200365330365714
9182748255777247
1044013405203404
1113029a868a043a
124b2a1144239a4
131b735a56a8a00
14ac238dd00d40
15514d529b9254
hex2807ab61ebcc

44013405203404 has 72 divisors (see below), whose sum is σ = 95368303453920. Its totient is φ = 17402885240832.

The previous prime is 44013405203267. The next prime is 44013405203407. The reversal of 44013405203404 is 40430250431044.

44013405203404 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 2×440134052034042 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44013405203404.

It is not an unprimeable number, because it can be changed into a prime (44013405203407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6741052 + ... + 11552860.

Almost surely, 244013405203404 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 44013405203404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47684151726960).

44013405203404 is an abundant number, since it is smaller than the sum of its proper divisors (51354898250516).

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

44013405203404 is a wasteful number, since it uses less digits than its factorization.

44013405203404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813779 (or 4813764 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 44013405203404 its reverse (40430250431044), we get a palindrome (84443655634448).

The spelling of 44013405203404 in words is "forty-four trillion, thirteen billion, four hundred five million, two hundred three thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 1933 2366 3866 4732 7732 13531 25129 27062 50258 54124 100516 175903 326677 351806 653354 703612 1306708 2286739 4573478 4811809 9146956 9623618 19247236 33682663 62553517 67365326 125107034 134730652 250214068 437874619 813195721 875749238 1626391442 1751498476 3252782884 5692370047 9301226797 11384740094 18602453594 22769480188 37204907188 65108587579 120915948361 130217175158 241831896722 260434350316 483663793444 846411638527 1571907328693 1692823277054 3143814657386 3385646554108 6287629314772 11003351300851 22006702601702 44013405203404