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404044201225 = 52721925767547
BaseRepresentation
bin1011110000100101110…
…10010011110100001001
31102121220112110002010101
411320102322103310021
523104440303414400
6505340525245401
741122410021100
oct5702272236411
91377815402111
10404044201225
11146399466665
1266381703861
132c141467912
14157ad341037
15a79b9a056a
hex5e12e93d09

404044201225 has 72 divisors (see below), whose sum is σ = 615883750560. Its totient is φ = 261451653120.

The previous prime is 404044201199. The next prime is 404044201247. The reversal of 404044201225 is 522102440404.

It is not a de Polignac number, because 404044201225 - 29 = 404044200713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404044201193 and 404044201202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5947902 + ... + 6015448.

It is an arithmetic number, because the mean of its divisors is an integer number (8553940980).

Almost surely, 2404044201225 is an apocalyptic number.

It is an amenable number.

404044201225 is a deficient number, since it is larger than the sum of its proper divisors (211839549335).

404044201225 is a wasteful number, since it uses less digits than its factorization.

404044201225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67847 (or 67835 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 404044201225 its reverse (522102440404), we get a palindrome (926146641629).

The spelling of 404044201225 in words is "four hundred four billion, forty-four million, two hundred one thousand, two hundred twenty-five".

Divisors: 1 5 7 19 25 35 49 95 133 175 245 257 475 665 931 1225 1285 1799 3325 4655 4883 6425 8995 12593 23275 24415 34181 44975 62965 67547 122075 170905 239267 314825 337735 472829 854525 1196335 1283393 1688675 2364145 3309803 5981675 6416965 8983751 11820725 16549015 17359579 32084825 44918755 62886257 82745075 86797895 121517053 224593775 314431285 329832001 433989475 607585265 850619371 1572156425 1649160005 2308824007 3037926325 4253096855 8245800025 11544120035 16161768049 21265484275 57720600175 80808840245 404044201225