Search a number
-
+
214060331251665 = 325411213278853
BaseRepresentation
bin110000101010111111001110…
…000000010011011111010001
31001001220222010112110010221100
4300222333032000103133101
5211024131024300023130
62035133543020415013
763042230363113233
oct6052771600233721
91031828115403840
10214060331251665
116222a5274a52a8
12200123ab9a7469
139259a584906c2
143ac080a932253
1519b3301823c60
hexc2afce0137d1

214060331251665 has 72 divisors (see below), whose sum is σ = 380406040173432. Its totient is φ = 111287751275520.

The previous prime is 214060331251631. The next prime is 214060331251681. The reversal of 214060331251665 is 566152133060412.

It is a happy number.

214060331251665 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 6 + 0 + 331 + 251 + 6 + 65 = 666.

214060331251665 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 12 ways, for example, as 213604041809601 + 456289442064 = 14615199^2 + 675492^2 .

It is not a de Polignac number, because 214060331251665 - 221 = 214060329154513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 214060331251665.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2714636379 + ... + 2714715231.

It is an arithmetic number, because the mean of its divisors is an integer number (5283417224631).

Almost surely, 2214060331251665 is an apocalyptic number.

It is an amenable number.

214060331251665 is a deficient number, since it is larger than the sum of its proper divisors (166345708921767).

214060331251665 is an equidigital number, since it uses as much as digits as its factorization.

214060331251665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81331 (or 80115 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 214060331251665 in words is "two hundred fourteen trillion, sixty billion, three hundred thirty-one million, two hundred fifty-one thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1213 1845 3639 6065 10917 18195 49733 54585 78853 149199 236559 248665 394265 447597 709677 745995 1182795 1471369 2237985 3232973 3548385 4414107 7356845 9698919 13242321 16164865 22070535 29096757 48494595 60326129 66211605 95648689 145483785 180978387 286946067 301630645 478243445 542935161 860838201 904891935 1434730335 2714675805 3921596249 4304191005 11764788747 19607981245 35294366241 58823943735 116021859757 176471831205 348065579271 580109298785 1044196737813 1740327896355 4756896250037 5220983689065 14270688750111 23784481250185 42812066250333 71353443750555 214060331251665