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432420421230 = 23257686381621
BaseRepresentation
bin1100100101011100100…
…00111111111001101110
31112100011010022102002200
412102232100333321232
524041044111434410
6530352354202330
743145531635350
oct6225620777156
91470133272080
10432420421230
11157430066756
126b9808833a6
1331a142bc145
1416d01c650d0
15b3acc7e3c0
hex64ae43fe6e

432420421230 has 48 divisors (see below), whose sum is σ = 1284906396384. Its totient is φ = 98838953280.

The previous prime is 432420421189. The next prime is 432420421231. The reversal of 432420421230 is 32124024234.

432420421230 is a `hidden beast` number, since 4 + 3 + 2 + 4 + 2 + 0 + 421 + 230 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 432420421194 and 432420421203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432420421231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343190181 + ... + 343191440.

It is an arithmetic number, because the mean of its divisors is an integer number (26768883258).

Almost surely, 2432420421230 is an apocalyptic number.

432420421230 is an abundant number, since it is smaller than the sum of its proper divisors (852485975154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

432420421230 is a wasteful number, since it uses less digits than its factorization.

432420421230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686381641 (or 686381638 counting only the distinct ones).

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

Adding to 432420421230 its reverse (32124024234), we get a palindrome (464544445464).

It can be divided in two parts, 4324204 and 21230, that added together give a palindrome (4345434).

The spelling of 432420421230 in words is "four hundred thirty-two billion, four hundred twenty million, four hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 686381621 1372763242 2059144863 3431908105 4118289726 4804671347 6177434589 6863816210 9609342694 10295724315 12354869178 14414014041 20591448630 24023356735 28828028082 30887172945 43242042123 48046713470 61774345890 72070070205 86484084246 144140140410 216210210615 432420421230