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212144040024021 = 32712374932721119
BaseRepresentation
bin110000001111000110100010…
…001001011001011111010101
31000211010202211220102112012100
4300033012202021121133111
5210301231443221232041
62031105343201112313
762453621035331160
oct6017064211313725
91024122756375170
10212144040024021
1161660867012116
121b962b29928699
13914b1355368c1
143a55b7d602ad7
15197d5477106b6
hexc0f1a22597d5

212144040024021 has 24 divisors (see below), whose sum is σ = 350206446021120. Its totient is φ = 121225023218016.

The previous prime is 212144040023963. The next prime is 212144040024031. The reversal of 212144040024021 is 120420040441212.

212144040024021 is a `hidden beast` number, since 2 + 1 + 2 + 14 + 4 + 0 + 400 + 240 + 2 + 1 = 666.

It is not a de Polignac number, because 212144040024021 - 211 = 212144040021973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212144040024031) 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 23 ways as a sum of consecutive naturals, for example, 76601500 + ... + 79322618.

It is an arithmetic number, because the mean of its divisors is an integer number (14591935250880).

Almost surely, 2212144040024021 is an apocalyptic number.

212144040024021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212144040024021 is a deficient number, since it is larger than the sum of its proper divisors (138062405997099).

212144040024021 is a wasteful number, since it uses less digits than its factorization.

212144040024021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958625 (or 3958622 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 212144040024021 its reverse (120420040441212), we get a palindrome (332564080465233).

The spelling of 212144040024021 in words is "two hundred twelve trillion, one hundred forty-four billion, forty million, twenty-four thousand, twenty-one".

Divisors: 1 3 7 9 21 63 1237493 2721119 3712479 8163357 8662451 11137437 19047833 24490071 25987353 57143499 77962059 171430497 3367365714667 10102097144001 23571560002669 30306291432003 70714680008007 212144040024021