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14432322323441 = 1117227491651471
BaseRepresentation
bin1101001000000100100101…
…1100100000001111110001
31220002201100100122110222202
43102001021130200033301
53342424344003322231
650410041202512545
73016462254435521
oct322011134401761
956081310573882
1014432322323441
114664793779a90
1217510b7665755
13808c67b17359
1437c757279681
151a06402515cb
hexd20497203f1

14432322323441 has 24 divisors (see below), whose sum is σ = 16731062832000. Its totient is φ = 12344011603200.

The previous prime is 14432322323369. The next prime is 14432322323473.

14432322323441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14432322323441 - 226 = 14432255214577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14432322323395 and 14432322323404.

It is not an unprimeable number, because it can be changed into a prime (14432322329441) 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, 7913336 + ... + 9564806.

It is an arithmetic number, because the mean of its divisors is an integer number (697127618000).

Almost surely, 214432322323441 is an apocalyptic number.

14432322323441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14432322323441 is a deficient number, since it is larger than the sum of its proper divisors (2298740508559).

14432322323441 is a wasteful number, since it uses less digits than its factorization.

14432322323441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654265 (or 1654248 counting only the distinct ones).

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

It can be divided in two parts, 1443232 and 2323441, that added together give a palindrome (3766673).

The spelling of 14432322323441 in words is "fourteen trillion, four hundred thirty-two billion, three hundred twenty-two million, three hundred twenty-three thousand, four hundred forty-one".

Divisors: 1 11 17 187 289 2749 3179 30239 46733 514063 794461 1651471 8739071 18166181 28075007 308825077 477275119 4539893779 5250026309 49938831569 77178194243 848960136673 1312029302131 14432322323441