Search a number
-
+
432441144099 = 32433173524981
BaseRepresentation
bin1100100101011111000…
…00000011001100100011
31112100012120022020112100
412102233200003030203
524041114413102344
6530354414301443
743146203035026
oct6225740031443
91470176266470
10432441144099
11157440830098
126b9877b7883
1331a186965b3
1416d048db1bd
15b3ae9c4569
hex64af803323

432441144099 has 24 divisors (see below), whose sum is σ = 641180125872. Its totient is φ = 280701207360.

The previous prime is 432441144073. The next prime is 432441144193. The reversal of 432441144099 is 990441144234.

It is not a de Polignac number, because 432441144099 - 212 = 432441140003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (432441144029) 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 23 ways as a sum of consecutive naturals, for example, 1639812 + ... + 1885169.

It is an arithmetic number, because the mean of its divisors is an integer number (26715838578).

Almost surely, 2432441144099 is an apocalyptic number.

432441144099 is a deficient number, since it is larger than the sum of its proper divisors (208738981773).

432441144099 is a wasteful number, since it uses less digits than its factorization.

432441144099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525347 (or 3525344 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 432441144099 in words is "four hundred thirty-two billion, four hundred forty-one million, one hundred forty-four thousand, ninety-nine".

Divisors: 1 3 9 43 129 317 387 951 2853 13631 40893 122679 3524981 10574943 31724829 151574183 454722549 1117418977 1364167647 3352256931 10056770793 48049016011 144147048033 432441144099