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432001443434312 = 2325710931085317713
BaseRepresentation
bin110001000111001110010110…
…0100101000000111101001000
32002122120221020100212210020002
41202032130230211000331020
5423110402424004344222
64130442420125022132
7156665034326663123
oct14216345445007510
92078527210783202
10432001443434312
11115715868623054
12405509353b4948
131570873b2998bb
147896da50613ba
1534e25379a9392
hex188e72c940f48

432001443434312 has 64 divisors (see below), whose sum is σ = 814019379997680. Its totient is φ = 214931457441792.

The previous prime is 432001443434299. The next prime is 432001443434317. The reversal of 432001443434312 is 213434344100234.

It can be written as a sum of positive squares in 8 ways, for example, as 420901578364996 + 11099865069316 = 20515886^2 + 3331646^2 .

It is a super-2 number, since 2×4320014434343122 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (432001443434317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24388939568 + ... + 24388957280.

Almost surely, 2432001443434312 is an apocalyptic number.

It is an amenable number.

432001443434312 is a deficient number, since it is larger than the sum of its proper divisors (382017936563368).

432001443434312 is a wasteful number, since it uses less digits than its factorization.

432001443434312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29922 (or 29918 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 432001443434312 its reverse (213434344100234), we get a palindrome (645435787534546).

The spelling of 432001443434312 in words is "four hundred thirty-two trillion, one billion, four hundred forty-three million, four hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 257 514 1028 1093 2056 2186 4372 8744 10853 17713 21706 35426 43412 70852 86824 141704 280901 561802 1123604 2247208 2789221 4552241 5578442 9104482 11156884 11862329 18208964 19360309 22313768 23724658 36417928 38720618 47449316 77441236 94898632 154882472 192239189 384478378 768956756 1537913512 3048618553 4975599413 6097237106 9951198826 12194474212 19902397652 24388948424 39804795304 49405471573 98810943146 197621886292 210117433577 395243772584 420234867154 840469734308 1680939468616 54000180429289 108000360858578 216000721717156 432001443434312