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432423040500045 = 32572196110222449
BaseRepresentation
bin110001001010010010101010…
…1101110001100000101001101
32002201002020110012010202210100
41202110211111232030011031
5423134304341332000140
64131404222525201313
7160040351025630300
oct14224452556140515
92081066405122710
10432423040500045
11115868644131601
12405ba595400239
131573941912bb7a
1478ad55b678b37
1534ed4b043d530
hex1894955b8c14d

432423040500045 has 36 divisors (see below), whose sum is σ = 871906049012700. Its totient is φ = 197679104227584.

The previous prime is 432423040500013. The next prime is 432423040500047. The reversal of 432423040500045 is 540005040324234.

432423040500045 is a `hidden beast` number, since 4 + 3 + 2 + 42 + 30 + 40 + 500 + 0 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 310738557217284 + 121684483282761 = 17627778^2 + 11031069^2 .

It is not a de Polignac number, because 432423040500045 - 25 = 432423040500013 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 432423040499982 and 432423040500009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432423040500047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98055109020 + ... + 98055113429.

It is an arithmetic number, because the mean of its divisors is an integer number (24219612472575).

Almost surely, 2432423040500045 is an apocalyptic number.

432423040500045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

432423040500045 is an abundant number, since it is smaller than the sum of its proper divisors (439483008512655).

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

432423040500045 is a wasteful number, since it uses less digits than its factorization.

432423040500045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196110222474 (or 196110222464 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 432423040500045 its reverse (540005040324234), we get a palindrome (972428080824279).

The spelling of 432423040500045 in words is "four hundred thirty-two trillion, four hundred twenty-three billion, forty million, five hundred thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 196110222449 588330667347 980551112245 1372771557143 1764992002041 2941653336735 4118314671429 6863857785715 8824960010205 9609400900001 12354944014287 20591573357145 28828202700003 48047004500005 61774720071435 86484608100009 144141013500015 432423040500045