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14333432130 = 2325636125037
BaseRepresentation
bin11010101100101011…
…01101000101000010
31100222220212210110200
431112111231011002
5213323324312010
610330143110030
71015124106603
oct152625550502
940886783420
1014333432130
116095937786
1229402a2316
131475713bb4
1499d8addaa
1558d547cc0
hex35656d142

14333432130 has 48 divisors (see below), whose sum is σ = 37274270904. Its totient is φ = 3821495040.

The previous prime is 14333432129. The next prime is 14333432137. The reversal of 14333432130 is 3123433341.

14333432130 is a `hidden beast` number, since 1 + 4 + 3 + 334 + 321 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9771915609 + 4561516521 = 98853^2 + 67539^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14333432094 and 14333432103.

It is not an unprimeable number, because it can be changed into a prime (14333432137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559972 + ... + 585008.

Almost surely, 214333432130 is an apocalyptic number.

14333432130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14333432130 is an abundant number, since it is smaller than the sum of its proper divisors (22940838774).

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

14333432130 is a wasteful number, since it uses less digits than its factorization.

14333432130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31411 (or 31408 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 14333432130 its reverse (3123433341), we get a palindrome (17456865471).

The spelling of 14333432130 in words is "fourteen billion, three hundred thirty-three million, four hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 6361 12722 19083 25037 31805 38166 50074 57249 63610 75111 95415 114498 125185 150222 190830 225333 250370 286245 375555 450666 572490 751110 1126665 2253330 159260357 318520714 477781071 796301785 955562142 1433343213 1592603570 2388905355 2866686426 4777810710 7166716065 14333432130