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21344044044312 = 233211193139634977
BaseRepresentation
bin1001101101001100011000…
…01010011101000000011000
32210120110201010110020021100
410312212030022131000120
510244200100233404222
6113221152442311400
74332025210631613
oct466461412350030
983513633406240
1021344044044312
116889a5a474650
1224887511b8560
13bba972233752
1453b0b311117a
1527031a8184ac
hex13698c29d018

21344044044312 has 96 divisors (see below), whose sum is σ = 63388694612880. Its totient is φ = 6434379694080.

The previous prime is 21344044044307. The next prime is 21344044044329.

21344044044312 is a `hidden beast` number, since 2 + 134 + 40 + 4 + 40 + 443 + 1 + 2 = 666.

21344044044312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69664633 + ... + 69970344.

Almost surely, 221344044044312 is an apocalyptic number.

21344044044312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21344044044312 is an abundant number, since it is smaller than the sum of its proper divisors (42044650568568).

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

21344044044312 is a wasteful number, since it uses less digits than its factorization.

21344044044312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139635193 (or 139635186 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 2134404 and 4044312, that added together give a palindrome (6178716).

The spelling of 21344044044312 in words is "twenty-one trillion, three hundred forty-four billion, forty-four million, forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 193 198 264 386 396 579 772 792 1158 1544 1737 2123 2316 3474 4246 4632 6369 6948 8492 12738 13896 16984 19107 25476 38214 50952 76428 152856 139634977 279269954 418904931 558539908 837809862 1117079816 1256714793 1535984747 1675619724 2513429586 3071969494 3351239448 4607954241 5026859172 6143938988 9215908482 10053718344 12287877976 13823862723 18431816964 26949550561 27647725446 36863633928 53899101122 55295450892 80848651683 107798202244 110590901784 161697303366 215596404488 242545955049 296445056171 323394606732 485091910098 592890112342 646789213464 889335168513 970183820196 1185780224684 1778670337026 1940367640392 2371560449368 2668005505539 3557340674052 5336011011078 7114681348104 10672022022156 21344044044312