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214432444424232 = 23322978228394781
BaseRepresentation
bin110000110000011001110001…
…101011011010000000101000
31001010020112121202000220100200
4300300121301223122000220
5211101230121233033412
62040020523253232200
763111142604644326
oct6060316153320050
91033215552026320
10214432444424232
116236331a6a9481
122007253b932660
139285b7b487408
143ad482b1a4d16
1519bcd2edad9dc
hexc30671ada028

214432444424232 has 24 divisors (see below), whose sum is σ = 580754536982490. Its totient is φ = 71477481474720.

The previous prime is 214432444424227. The next prime is 214432444424239. The reversal of 214432444424232 is 232424444234412.

214432444424232 is a `hidden beast` number, since 2 + 1 + 44 + 324 + 4 + 44 + 242 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 206974662384996 + 7457782039236 = 14386614^2 + 2730894^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (214432444424239) 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 5 ways as a sum of consecutive naturals, for example, 1489114197319 + ... + 1489114197462.

Almost surely, 2214432444424232 is an apocalyptic number.

It is an amenable number.

214432444424232 is an abundant number, since it is smaller than the sum of its proper divisors (366322092558258).

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

214432444424232 is a wasteful number, since it uses less digits than its factorization.

214432444424232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978228394793 (or 2978228394786 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 45.

Adding to 214432444424232 its reverse (232424444234412), we get a palindrome (446856888658644).

The spelling of 214432444424232 in words is "two hundred fourteen trillion, four hundred thirty-two billion, four hundred forty-four million, four hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2978228394781 5956456789562 8934685184343 11912913579124 17869370368686 23825827158248 26804055553029 35738740737372 53608111106058 71477481474744 107216222212116 214432444424232