Search a number
-
+
284134316401 = 13891133476263
BaseRepresentation
bin1000010001001111011…
…10011001100101110001
31000011101210211210102001
410020213232121211301
514123401341111101
6334310212254001
726346053561125
oct4104756314561
91004353753361
10284134316401
11aa5564613a1
1247098011301
1320a41b42a50
14da75d75585
1575ce89a901
hex4227b99971

284134316401 has 32 divisors (see below), whose sum is σ = 313116814080. Its totient is φ = 256254265344.

The previous prime is 284134316399. The next prime is 284134316419. The reversal of 284134316401 is 104613431482.

It is a cyclic number.

It is not a de Polignac number, because 284134316401 - 21 = 284134316399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (284134316461) 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, 45363996 + ... + 45370258.

It is an arithmetic number, because the mean of its divisors is an integer number (9784900440).

Almost surely, 2284134316401 is an apocalyptic number.

It is an amenable number.

284134316401 is a deficient number, since it is larger than the sum of its proper divisors (28982497679).

284134316401 is a wasteful number, since it uses less digits than its factorization.

284134316401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6825.

The product of its (nonzero) digits is 55296, while the sum is 37.

Adding to 284134316401 its reverse (104613431482), we get a palindrome (388747747883).

The spelling of 284134316401 in words is "two hundred eighty-four billion, one hundred thirty-four million, three hundred sixteen thousand, four hundred one".

Divisors: 1 13 89 113 347 1157 1469 4511 6263 10057 30883 39211 81419 130741 401479 509743 557407 707719 2173261 3489779 7246291 9200347 28252393 45367127 62986991 193420229 245578493 818830883 2514462977 3192520409 21856485877 284134316401