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432413004034 = 211200330113259
BaseRepresentation
bin1100100101011011101…
…00101101000100000010
31112100010121100120121201
412102231310231010002
524041040212112114
6530351531211414
743145411614024
oct6225564550402
91470117316551
10432413004034
11157426960040
126b97a2a6b6a
1331a128c307b
1416d00c94014
15b3ac2b6874
hex64add2d102

432413004034 has 32 divisors (see below), whose sum is σ = 708390593280. Its totient is φ = 196327731600.

The previous prime is 432413003977. The next prime is 432413004043. The reversal of 432413004034 is 430400314234.

It is a super-3 number, since 3×4324130040343 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432413003993 and 432413004011.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 132681097 + ... + 132684355.

It is an arithmetic number, because the mean of its divisors is an integer number (22137206040).

Almost surely, 2432413004034 is an apocalyptic number.

432413004034 is a deficient number, since it is larger than the sum of its proper divisors (275977589246).

432413004034 is a wasteful number, since it uses less digits than its factorization.

432413004034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286.

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 432413004034 its reverse (430400314234), we get a palindrome (862813318268).

The spelling of 432413004034 in words is "four hundred thirty-two billion, four hundred thirteen million, four thousand, thirty-four".

Divisors: 1 2 11 22 2003 3011 3259 4006 6022 6518 22033 33121 35849 44066 66242 71698 6031033 6527777 9812849 12062066 13055554 19625698 66341363 71805547 107941339 132682726 143611094 215882678 19655136547 39310273094 216206502017 432413004034