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214501438449 = 3226325872
BaseRepresentation
bin1100011111000101001…
…0000011001111110001
3202111122222022002022100
43013301102003033301
512003244332012244
6242312434131013
721332355100134
oct3076122031761
9674588262270
10214501438449
1182a73519581
12356a4120a69
13172c5797a9c
14a54c00621b
1558a6606b69
hex31f14833f1

214501438449 has 27 divisors (see below), whose sum is σ = 311548717753. Its totient is φ = 142214542152.

The previous prime is 214501438447. The next prime is 214501438457. The reversal of 214501438449 is 944834105412.

The square root of 214501438449 is 463143.

It is a perfect power (a square), and thus also a powerful number.

214501438449 is a `hidden beast` number, since 2 + 14 + 50 + 143 + 8 + 449 = 666.

214501438449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214501438449 - 21 = 214501438447 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214501438447) 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 26 ways as a sum of consecutive naturals, for example, 365419534 + ... + 365420120.

Almost surely, 2214501438449 is an apocalyptic number.

214501438449 is the 463143-rd square number.

214501438449 is the 231572-nd centered octagonal number.

It is an amenable number.

214501438449 is a deficient number, since it is larger than the sum of its proper divisors (97047279304).

214501438449 is an frugal number, since it uses more digits than its factorization.

214501438449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 214501438449 in words is "two hundred fourteen billion, five hundred one million, four hundred thirty-eight thousand, four hundred forty-nine".

Divisors: 1 3 9 263 587 789 1761 2367 5283 69169 154381 207507 344569 463143 622521 1033707 1389429 3101121 40602203 90621647 121806609 271864941 365419827 815594823 23833493161 71500479483 214501438449