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214114133232 = 24324731636249
BaseRepresentation
bin1100011101101000110…
…0100110010011110000
3202110122222111221102200
43013122030212103300
512002001204230412
6242210200543200
721316643050326
oct3073214462360
9673588457380
10214114133232
118289493441a
12355b6481b00
131726347c7bc
14a5127c7d16
1558825ee9dc
hex31da3264f0

214114133232 has 60 divisors (see below), whose sum is σ = 611971620000. Its totient is φ = 69852835584.

The previous prime is 214114133231. The next prime is 214114133237. The reversal of 214114133232 is 232331411412.

214114133232 is a `hidden beast` number, since 2 + 1 + 4 + 11 + 413 + 3 + 232 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 214114133196 and 214114133205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214114133231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15811357 + ... + 15824892.

It is an arithmetic number, because the mean of its divisors is an integer number (10199527000).

Almost surely, 2214114133232 is an apocalyptic number.

It is an amenable number.

214114133232 is an abundant number, since it is smaller than the sum of its proper divisors (397857486768).

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

214114133232 is a wasteful number, since it uses less digits than its factorization.

214114133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31636310 (or 31636301 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 214114133232 its reverse (232331411412), we get a palindrome (446445544644).

The spelling of 214114133232 in words is "two hundred fourteen billion, one hundred fourteen million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 31636249 63272498 94908747 126544996 189817494 253089992 284726241 379634988 506179984 569452482 759269976 1138904964 1486903703 1518539952 2277809928 2973807406 4460711109 4555619856 5947614812 8921422218 11895229624 13382133327 17842844436 23790459248 26764266654 35685688872 53528533308 71371377744 107057066616 214114133232