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212440311441 = 3326712945773
BaseRepresentation
bin1100010111011001101…
…1011110011010010001
3202022100022220222121000
43011312123132122101
511440034204431231
6241332125052213
721230316565401
oct3056633363221
9668308828530
10212440311441
1182106021326
12352099b7069
131705776a7c7
14a3d4398801
1557d56bc6e6
hex31766de691

212440311441 has 16 divisors (see below), whose sum is σ = 314844325120. Its totient is φ = 141573802320.

The previous prime is 212440311427. The next prime is 212440311553. The reversal of 212440311441 is 144113044212.

212440311441 is a `hidden beast` number, since 212 + 4 + 4 + 0 + 3 + 1 + 1 + 441 = 666.

It is not a de Polignac number, because 212440311441 - 210 = 212440310417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212440321441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1400770 + ... + 1545003.

It is an arithmetic number, because the mean of its divisors is an integer number (19677770320).

Almost surely, 2212440311441 is an apocalyptic number.

It is an amenable number.

212440311441 is a deficient number, since it is larger than the sum of its proper divisors (102404013679).

212440311441 is a wasteful number, since it uses less digits than its factorization.

212440311441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948453 (or 2948447 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 212440311441 its reverse (144113044212), we get a palindrome (356553355653).

The spelling of 212440311441 in words is "two hundred twelve billion, four hundred forty million, three hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 9 27 2671 8013 24039 72117 2945773 8837319 26511957 79535871 7868159683 23604479049 70813437147 212440311441