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214042143232 = 29673762053
BaseRepresentation
bin1100011101010111100…
…1111110101000000000
3202110110222001110201101
43013111321332220000
512001324242040412
6242155105544144
721315110125051
oct3072571765000
9673428043641
10214042143232
1182858234255
1235596345054
1317251595278
14a507008728
15587b12e457
hex31d5e7ea00

214042143232 has 40 divisors (see below), whose sum is σ = 427736608596. Its totient is φ = 107003461632.

The previous prime is 214042143179. The next prime is 214042143233. The reversal of 214042143232 is 232341240412.

214042143232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 212912107776 + 1130035456 = 461424^2 + 33616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 214042143232.

It is not an unprimeable number, because it can be changed into a prime (214042143233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3418318 + ... + 3480370.

Almost surely, 2214042143232 is an apocalyptic number.

It is an amenable number.

214042143232 is a deficient number, since it is larger than the sum of its proper divisors (213694465364).

214042143232 is an frugal number, since it uses more digits than its factorization.

214042143232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68808 (or 68792 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 214042143232 its reverse (232341240412), we get a palindrome (446383383644).

The spelling of 214042143232 in words is "two hundred fourteen billion, forty-two million, one hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 6737 13474 26948 53896 62053 107792 124106 215584 248212 431168 496424 862336 992848 1724672 1985696 3449344 3971392 7942784 15885568 31771136 418051061 836102122 1672204244 3344408488 6688816976 13377633952 26755267904 53510535808 107021071616 214042143232