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212141443432 = 231953241109267
BaseRepresentation
bin1100010110010010011…
…1011000100101101000
3202021120111112220202111
43011210213120211220
511433431202142212
6241242331212104
721220030342162
oct3054447304550
9667514486674
10212141443432
1181a72350376
12351458a7034
131700a878029
14a3a67db932
1557b9333ea7
hex31649d8968

212141443432 has 64 divisors (see below), whose sum is σ = 428374267200. Its totient is φ = 98182056960.

The previous prime is 212141443417. The next prime is 212141443447. The reversal of 212141443432 is 234344141212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212141443417) and next prime (212141443447).

It is a junction number, because it is equal to n+sod(n) for n = 212141443394 and 212141443403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1886863 + ... + 1996129.

It is an arithmetic number, because the mean of its divisors is an integer number (6693347925).

Almost surely, 2212141443432 is an apocalyptic number.

It is an amenable number.

212141443432 is an abundant number, since it is smaller than the sum of its proper divisors (216232823768).

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

212141443432 is a wasteful number, since it uses less digits than its factorization.

212141443432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109586 (or 109582 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

Adding to 212141443432 its reverse (234344141212), we get a palindrome (446485584644).

The spelling of 212141443432 in words is "two hundred twelve billion, one hundred forty-one million, four hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 19 38 53 76 106 152 212 241 424 482 964 1007 1928 2014 4028 4579 8056 9158 12773 18316 25546 36632 51092 102184 109267 218534 242687 437068 485374 874136 970748 1941496 2076073 4152146 5791151 8304292 11582302 16608584 23164604 26333347 46329208 52666694 105333388 110031869 210666776 220063738 440127476 500333593 880254952 1000667186 1395667391 2001334372 2791334782 4002668744 5582669564 11165339128 26517680429 53035360858 106070721716 212141443432