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32424141321 = 34111313812027
BaseRepresentation
bin11110001100101000…
…010010001000001001
310002200200202001010000
4132030220102020021
51012401040010241
622521225513213
72225333440155
oct361450221011
9102620661100
1032424141321
1112829645310
12634a942809
133099684150
1417d8390065
15c9b86ceb6
hex78ca12209

32424141321 has 80 divisors (see below), whose sum is σ = 56973204288. Its totient is φ = 18117302400.

The previous prime is 32424141319. The next prime is 32424141341. The reversal of 32424141321 is 12314142423.

32424141321 is a `hidden beast` number, since 3 + 2 + 4 + 241 + 413 + 2 + 1 = 666.

It is not a de Polignac number, because 32424141321 - 21 = 32424141319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (32424141341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15995110 + ... + 15997136.

Almost surely, 232424141321 is an apocalyptic number.

It is an amenable number.

32424141321 is a deficient number, since it is larger than the sum of its proper divisors (24549062967).

32424141321 is a wasteful number, since it uses less digits than its factorization.

32424141321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3435 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 32424141321 its reverse (12314142423), we get a palindrome (44738283744).

The spelling of 32424141321 in words is "thirty-two billion, four hundred twenty-four million, one hundred forty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 297 351 429 891 1053 1287 1381 2027 3861 4143 6081 11583 12429 15191 17953 18243 22297 26351 37287 45573 53859 54729 66891 79053 111861 136719 161577 164187 197483 200673 237159 289861 410157 484731 592449 602019 711477 869583 1230471 1454193 1777347 1806057 2134431 2608749 2799287 5332041 7826247 8397861 15996123 23478741 25193583 30792157 36390731 75580749 92376471 109172193 226742247 277129413 327516579 400298041 831388239 982549737 1200894123 2494164717 2947649211 3602682369 10808047107 32424141321