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40434322221 = 3241109578109
BaseRepresentation
bin100101101010000100…
…101100101100101101
310212100221022101120200
4211222010230230231
51130302141302341
630324131504113
72631000032226
oct455204545455
9125327271520
1040434322221
111616a136827
127a05458039
133a75050267
141d5814824d
1510b9bc9db6
hex96a12cb2d

40434322221 has 12 divisors (see below), whose sum is σ = 59829648060. Its totient is φ = 26298745920.

The previous prime is 40434322219. The next prime is 40434322307. The reversal of 40434322221 is 12222343404.

40434322221 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 432 + 2 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1570536900 + 38863785321 = 39630^2 + 197139^2 .

It is not a de Polignac number, because 40434322221 - 21 = 40434322219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40434322021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54788686 + ... + 54789423.

It is an arithmetic number, because the mean of its divisors is an integer number (4985804005).

Almost surely, 240434322221 is an apocalyptic number.

40434322221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

40434322221 is a deficient number, since it is larger than the sum of its proper divisors (19395325839).

40434322221 is a wasteful number, since it uses less digits than its factorization.

40434322221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109578156 (or 109578153 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40434322221 its reverse (12222343404), we get a palindrome (52656665625).

The spelling of 40434322221 in words is "forty billion, four hundred thirty-four million, three hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 41 123 369 109578109 328734327 986202981 4492702469 13478107407 40434322221