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214016342656 = 279717237141
BaseRepresentation
bin1100011101010001011…
…1100011101010000000
3202110102011111122222111
43013110113203222000
512001301140431111
6242152344545104
721314344616524
oct3072427435200
9673364448874
10214016342656
1182844711966
1235589782194
131724913085c
14a50380dd84
155878c34a21
hex31d45e3a80

214016342656 has 32 divisors (see below), whose sum is σ = 430756178580. Its totient is φ = 105904988160.

The previous prime is 214016342647. The next prime is 214016342663. The reversal of 214016342656 is 656243610412.

It can be written as a sum of positive squares in 2 ways, for example, as 190479873600 + 23536469056 = 436440^2 + 153416^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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, 8606155 + ... + 8630986.

Almost surely, 2214016342656 is an apocalyptic number.

It is an amenable number.

214016342656 is an abundant number, since it is smaller than the sum of its proper divisors (216739835924).

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

214016342656 is an equidigital number, since it uses as much as digits as its factorization.

214016342656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17237252 (or 17237240 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 214016342656 in words is "two hundred fourteen billion, sixteen million, three hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 6208 12416 17237141 34474282 68948564 137897128 275794256 551588512 1103177024 1672002677 2206354048 3344005354 6688010708 13376021416 26752042832 53504085664 107008171328 214016342656