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214055560642 = 27114373442807
BaseRepresentation
bin1100011101011010110…
…1001010010111000010
3202110111220022010221111
43013112231022113002
512001341210420032
6242200305313534
721315332146630
oct3072655122702
9673456263844
10214055560642
1182864868a20
123559a9358aa
13172542b2471
14a508adc350
15587c3cec47
hex31d6b4a5c2

214055560642 has 64 divisors (see below), whose sum is σ = 415233460224. Its totient is φ = 80342720640.

The previous prime is 214055560637. The next prime is 214055560643. The reversal of 214055560642 is 246065550412.

It is a happy number.

214055560642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214055560595 and 214055560604.

It is not an unprimeable number, because it can be changed into a prime (214055560643) 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 31 ways as a sum of consecutive naturals, for example, 262003 + ... + 704809.

It is an arithmetic number, because the mean of its divisors is an integer number (6488022816).

Almost surely, 2214055560642 is an apocalyptic number.

214055560642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

214055560642 is a deficient number, since it is larger than the sum of its proper divisors (201177899582).

214055560642 is a wasteful number, since it uses less digits than its factorization.

214055560642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442943.

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 214055560642 in words is "two hundred fourteen billion, fifty-five million, five hundred sixty thousand, six hundred forty-two".

Divisors: 1 2 7 11 14 22 43 73 77 86 146 154 301 473 511 602 803 946 1022 1606 3139 3311 5621 6278 6622 11242 21973 34529 43946 69058 241703 442807 483406 885614 3099649 4870877 6199298 9741754 19040701 32324911 34096139 38081402 64649822 68192278 133284907 209447711 226274377 266569814 355574021 418895422 452548754 711148042 1389971173 1466133977 2489018147 2779942346 2932267954 4978036294 9729798211 15289682903 19459596422 30579365806 107027780321 214055560642