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214032131344 = 2437613556769
BaseRepresentation
bin1100011101010101001…
…1110010010100010000
3202110110021012210222201
43013111103302110100
512001314211200334
6242154111212544
721314626045633
oct3072523622420
9673407183881
10214032131344
1182852616169
1235592b17154
131724c49b185
14a50595dc1a
15587a302c14
hex31d54f2510

214032131344 has 20 divisors (see below), whose sum is σ = 414797630940. Its totient is φ = 106987581440.

The previous prime is 214032131329. The next prime is 214032131381. The reversal of 214032131344 is 443131230412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47127199744 + 166904931600 = 217088^2 + 408540^2 .

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 3 ways as a sum of consecutive naturals, for example, 1718209 + ... + 1838560.

It is an arithmetic number, because the mean of its divisors is an integer number (20739881547).

Almost surely, 2214032131344 is an apocalyptic number.

It is an amenable number.

214032131344 is a deficient number, since it is larger than the sum of its proper divisors (200765499596).

214032131344 is a wasteful number, since it uses less digits than its factorization.

214032131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560538 (or 3560532 counting only the distinct ones).

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

Adding to 214032131344 its reverse (443131230412), we get a palindrome (657163361756).

The spelling of 214032131344 in words is "two hundred fourteen billion, thirty-two million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 3761 7522 15044 30088 60176 3556769 7113538 14227076 28454152 56908304 13377008209 26754016418 53508032836 107016065672 214032131344