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432441222041 = 3001310946349
BaseRepresentation
bin1100100101011111000…
…00010110001110011001
31112100012120110012110002
412102233200112032121
524041114423101131
6530354420102345
743146203511203
oct6225740261631
91470176405402
10432441222041
11157440883704
126b9878349b5
1331a186c2c0a
1416d0491b773
15b3ae9dc6cb
hex64af816399

432441222041 has 8 divisors (see below), whose sum is σ = 432733797000. Its totient is φ = 432148752000.

The previous prime is 432441222019. The next prime is 432441222047. The reversal of 432441222041 is 140222144234.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1849344016 + 430591878025 = 43004^2 + 656195^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 432441222041 - 218 = 432440959897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 432441221995 and 432441222013.

It is not an unprimeable number, because it can be changed into a prime (432441222047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9306935 + ... + 9353283.

It is an arithmetic number, because the mean of its divisors is an integer number (54091724625).

Almost surely, 2432441222041 is an apocalyptic number.

It is an amenable number.

432441222041 is a deficient number, since it is larger than the sum of its proper divisors (292574959).

432441222041 is a wasteful number, since it uses less digits than its factorization.

432441222041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52459.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 432441222041 its reverse (140222144234), we get a palindrome (572663366275).

The spelling of 432441222041 in words is "four hundred thirty-two billion, four hundred forty-one million, two hundred twenty-two thousand, forty-one".

Divisors: 1 3001 3109 46349 9330109 139093349 144099041 432441222041