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211412444214112 = 256798606550473
BaseRepresentation
bin110000000100011101001011…
…101000110111001101100000
31000201112211110201211200102121
4300010131023220313031200
5210202240141204322422
62025345311443554024
762350021310466601
oct6004351350671540
91021484421750377
10211412444214112
11613a957227a929
121b86519398b914
1390c715320806b
143a2c5b9d6dda8
1519694c98ab8c7
hexc0474ba37360

211412444214112 has 24 divisors (see below), whose sum is σ = 422430462230616. Its totient is φ = 104128517298432.

The previous prime is 211412444214107. The next prime is 211412444214197.

211412444214112 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×2114124442141124 (a number of 58 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49303273093 + ... + 49303277380.

It is an arithmetic number, because the mean of its divisors is an integer number (17601269259609).

Almost surely, 2211412444214112 is an apocalyptic number.

It is an amenable number.

211412444214112 is a deficient number, since it is larger than the sum of its proper divisors (211018018016504).

211412444214112 is an equidigital number, since it uses as much as digits as its factorization.

211412444214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98606550550 (or 98606550542 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The spelling of 211412444214112 in words is "two hundred eleven trillion, four hundred twelve billion, four hundred forty-four million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 67 134 268 536 1072 2144 98606550473 197213100946 394426201892 788852403784 1577704807568 3155409615136 6606638881691 13213277763382 26426555526764 52853111053528 105706222107056 211412444214112