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214134431032 = 238319312171373
BaseRepresentation
bin1100011101101101101…
…0000001110100111000
3202110201101201011210001
43013123122001310320
512002021403243112
6242212204002344
721320310426514
oct3073332016470
9673641634701
10214134431032
11828a5338465
12356012303b4
1317267738632
14a51538d144
1558842adc57
hex31db681d38

214134431032 has 64 divisors (see below), whose sum is σ = 409078162080. Its totient is φ = 105066135552.

The previous prime is 214134431023. The next prime is 214134431039. The reversal of 214134431032 is 230134431412.

It is a happy number.

214134431032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214134431039) 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 15 ways as a sum of consecutive naturals, for example, 155960298 + ... + 155961670.

Almost surely, 2214134431032 is an apocalyptic number.

It is an amenable number.

214134431032 is a deficient number, since it is larger than the sum of its proper divisors (194943731048).

214134431032 is a wasteful number, since it uses less digits than its factorization.

214134431032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 214134431032 its reverse (230134431412), we get a palindrome (444268862444).

The spelling of 214134431032 in words is "two hundred fourteen billion, one hundred thirty-four million, four hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 83 166 193 332 386 664 772 1217 1373 1544 2434 2746 4868 5492 9736 10984 16019 32038 64076 101011 113959 128152 202022 227918 234881 264989 404044 455836 469762 529978 808088 911672 939524 1059956 1670941 1879048 2119912 3341882 6683764 13367528 19495123 21994087 38990246 43988174 77980492 87976348 138688103 155960984 175952696 277376206 322491613 554752412 644983226 1109504824 1289966452 2579932904 26766803879 53533607758 107067215516 214134431032