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432421410343 = 1319311573531019
BaseRepresentation
bin1100100101011100101…
…00110001011000100111
31112100011012011122220111
412102232110301120213
524041044340112333
6530352431313451
743145543225146
oct6225624613047
91470135148814
10432421410343
111574306818aa
126b98107b887
1331a14577410
1416d0204175d
15b3acdc74cd
hex64ae531627

432421410343 has 64 divisors (see below), whose sum is σ = 511173734400. Its totient is φ = 362234695680.

The previous prime is 432421410331. The next prime is 432421410359. The reversal of 432421410343 is 343014124234.

It is not a de Polignac number, because 432421410343 - 221 = 432419313191 is a prime.

It is a super-2 number, since 2×4324214103432 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432421410643) 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 63 ways as a sum of consecutive naturals, for example, 424358088 + ... + 424359106.

It is an arithmetic number, because the mean of its divisors is an integer number (7987089600).

Almost surely, 2432421410343 is an apocalyptic number.

432421410343 is a deficient number, since it is larger than the sum of its proper divisors (78752324057).

432421410343 is a wasteful number, since it uses less digits than its factorization.

432421410343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 432421410343 its reverse (343014124234), we get a palindrome (775435534577).

The spelling of 432421410343 in words is "four hundred thirty-two billion, four hundred twenty-one million, four hundred ten thousand, three hundred forty-three".

Divisors: 1 13 19 31 157 247 353 403 589 1019 2041 2983 4589 4867 6707 7657 10943 13247 19361 31589 38779 55421 63271 87191 92473 142259 159983 207917 251693 359707 410657 600191 720473 1052999 1202149 1718051 2079779 2702921 3039677 4676191 4959473 6834433 7802483 11150917 13688987 22334663 32642969 39515801 56473999 64473149 88847629 94229987 144961921 211867423 424358597 734161987 1073005981 1224989831 1750693969 2754276499 13949077753 22759021597 33263185411 432421410343