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213440320121444 = 22135385390792133
BaseRepresentation
bin110000100001111101110010…
…011101100010101001100100
31000222201200202220010100101222
4300201331302131202221210
5210434001233422341234
62033541043542235512
762646361051343543
oct6041756235425144
91028650686110358
10213440320121444
1162010593370459
121bb321b7425b98
139213449a5c450
143a9c7d0b0a15a
1519a2114c8c42e
hexc21f72762a64

213440320121444 has 48 divisors (see below), whose sum is σ = 410323065051312. Its totient is φ = 96538910787072.

The previous prime is 213440320121443. The next prime is 213440320121467. The reversal of 213440320121444 is 444121023044312.

It can be written as a sum of positive squares in 8 ways, for example, as 8965817344 + 213431354304100 = 94688^2 + 14609290^2 .

It is not an unprimeable number, because it can be changed into a prime (213440320121443) 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 15 ways as a sum of consecutive naturals, for example, 43045199 + ... + 47746934.

It is an arithmetic number, because the mean of its divisors is an integer number (8548397188569).

Almost surely, 2213440320121444 is an apocalyptic number.

It is an amenable number.

213440320121444 is a deficient number, since it is larger than the sum of its proper divisors (196882744929868).

213440320121444 is a wasteful number, since it uses less digits than its factorization.

213440320121444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90793056 (or 90793054 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 213440320121444 its reverse (444121023044312), we get a palindrome (657561343165756).

The spelling of 213440320121444 in words is "two hundred thirteen trillion, four hundred forty billion, three hundred twenty million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 52 53 106 212 689 853 1378 1706 2756 3412 11089 22178 44356 45209 90418 180836 587717 1175434 2350868 90792133 181584266 363168532 1180297729 2360595458 4721190916 4811983049 9623966098 19247932196 62555779637 77445689449 125111559274 154891378898 250223118548 309782757796 1006793962837 2013587925674 4027175851348 4104621540797 8209243081594 16418486163188 53360080030361 106720160060722 213440320121444