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21344122141312 = 271491119133921
BaseRepresentation
bin1001101101001100100001…
…10100010111101010000000
32210120110220120101222012211
410312212100310113222000
510244200230232010222
6113221204312231504
74332030146510635
oct466462064275200
983513816358184
1021344122141312
116889a9a566023
12248877339b594
13bba9854788a9
1453b0bd64018c
152703225e3277
hex136990d17a80

21344122141312 has 32 divisors (see below), whose sum is σ = 42806872516500. Its totient is φ = 10600436490240.

The previous prime is 21344122141273. The next prime is 21344122141343. The reversal of 21344122141312 is 21314122144312.

It can be written as a sum of positive squares in 2 ways, for example, as 21343439050816 + 683090496 = 4619896^2 + 26136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-5 number, since 5×213441221413125 (a number of 68 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 559547889 + ... + 559586032.

Almost surely, 221344122141312 is an apocalyptic number.

It is an amenable number.

21344122141312 is an abundant number, since it is smaller than the sum of its proper divisors (21462750375188).

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

21344122141312 is a wasteful number, since it uses less digits than its factorization.

21344122141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119134084 (or 1119134072 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

Adding to 21344122141312 its reverse (21314122144312), we get a palindrome (42658244285624).

It can be divided in two parts, 2134412 and 2141312, that added together give a palindrome (4275724).

The spelling of 21344122141312 in words is "twenty-one trillion, three hundred forty-four billion, one hundred twenty-two million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 149 298 596 1192 2384 4768 9536 19072 1119133921 2238267842 4476535684 8953071368 17906142736 35812285472 71624570944 143249141888 166750954229 333501908458 667003816916 1334007633832 2668015267664 5336030535328 10672061070656 21344122141312