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244446939770401 = 292443212172
BaseRepresentation
bin110111100101001010111101…
…000000101110111000100001
31012001111220021112021112121201
4313211022331000232320201
5224020004313040123101
62223521212430121201
7102326465021634154
oct6745127500567041
91161456245245551
10244446939770401
1170985401866665
12234bb555650201
13a65232aa1b274
14445141b72bc9b
151d3d95c514e01
hexde52bd02ee21

244446939770401 has 27 divisors (see below), whose sum is σ = 253948246764121. Its totient is φ = 235291467267584.

The previous prime is 244446939770399. The next prime is 244446939770431. The reversal of 244446939770401 is 104077939644442.

The square root of 244446939770401 is 15634799.

It is a perfect power (a square), and thus also a powerful number.

244446939770401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4975152555025 + 239471787215376 = 2230505^2 + 15474876^2 .

It is not a de Polignac number, because 244446939770401 - 21 = 244446939770399 is a prime.

It is a super-2 number, since 2×2444469397704012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (244446939770431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 200860262145 + ... + 200860263361.

Almost surely, 2244446939770401 is an apocalyptic number.

244446939770401 is the 15634799-th square number.

244446939770401 is the 7817400-th centered octagonal number.

It is an amenable number.

244446939770401 is a deficient number, since it is larger than the sum of its proper divisors (9501306993720).

244446939770401 is an frugal number, since it uses more digits than its factorization.

244446939770401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 64.

The spelling of 244446939770401 in words is "two hundred forty-four trillion, four hundred forty-six billion, nine hundred thirty-nine million, seven hundred seventy thousand, four hundred one".

Divisors: 1 29 443 841 1217 12847 35293 196249 372563 539131 1023497 1481089 5691221 15634799 42951581 165045409 238835033 453409171 656122427 1245595849 6926215957 19027550383 200860262753 290662235161 551798961107 8429204819669 244446939770401