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13344443322 = 2372294733301
BaseRepresentation
bin11000110110110010…
…00000101110111010
31021102222220221212120
430123121000232322
5204312134141242
610044053422110
7651454616400
oct143331005672
937388827776
1013344443322
115728654861
12270503a936
131348860912
149083cb470
155317de1ec
hex31b640bba

13344443322 has 96 divisors (see below), whose sum is σ = 32801137920. Its totient is φ = 3602793600.

The previous prime is 13344443317. The next prime is 13344443381. The reversal of 13344443322 is 22334444331.

It is a happy number.

13344443322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 384072 + ... + 417372.

It is an arithmetic number, because the mean of its divisors is an integer number (341678520).

Almost surely, 213344443322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13344443322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400568960).

13344443322 is an abundant number, since it is smaller than the sum of its proper divisors (19456694598).

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

13344443322 is a wasteful number, since it uses less digits than its factorization.

13344443322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33396 (or 33389 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

Adding to 13344443322 its reverse (22334444331), we get a palindrome (35678887653).

The spelling of 13344443322 in words is "thirteen billion, three hundred forty-four million, four hundred forty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 47 49 58 87 94 98 141 147 174 203 282 294 329 406 609 658 987 1218 1363 1421 1974 2303 2726 2842 4089 4263 4606 6909 8178 8526 9541 13818 19082 28623 33301 57246 66602 66787 99903 133574 199806 200361 233107 400722 466214 699321 965729 1398642 1565147 1631749 1931458 2897187 3130294 3263498 4695441 4895247 5794374 6760103 9390882 9790494 10956029 13520206 20280309 21912058 32868087 40560618 45389263 47320721 65736174 76692203 90778526 94641442 136167789 141962163 153384406 230076609 272335578 283924326 317724841 460153218 635449682 953174523 1906349046 2224073887 4448147774 6672221661 13344443322