Search a number
-
+
14594331249 = 343124332
BaseRepresentation
bin11011001011110001…
…11101001001110001
31101200002210211210000
431211320331021301
5214342122044444
610412103100213
71024442524461
oct154570751161
941602724700
1014594331249
11620a135093
1229b3741669
1314b77a1484
149c63c5ba1
155a63d1469
hex365e3d271

14594331249 has 45 divisors (see below), whose sum is σ = 22579512219. Its totient is φ = 9393952320.

The previous prime is 14594331239. The next prime is 14594331251. The reversal of 14594331249 is 94213349541.

The square root of 14594331249 is 120807.

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

14594331249 is a `hidden beast` number, since 1 + 4 + 594 + 3 + 3 + 12 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1636607025 + 12957724224 = 40455^2 + 113832^2 .

It is not a de Polignac number, because 14594331249 - 27 = 14594331121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14594331209) 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 44 ways as a sum of consecutive naturals, for example, 33704937 + ... + 33705369.

Almost surely, 214594331249 is an apocalyptic number.

14594331249 is the 120807-th square number.

14594331249 is the 60404-th centered octagonal number.

It is an amenable number.

14594331249 is a deficient number, since it is larger than the sum of its proper divisors (7985180970).

14594331249 is an frugal number, since it uses more digits than its factorization.

14594331249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 467 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 14594331249 in words is "fourteen billion, five hundred ninety-four million, three hundred thirty-one thousand, two hundred forty-nine".

Divisors: 1 3 9 27 31 81 93 279 433 837 961 1299 2511 2883 3897 8649 11691 13423 25947 35073 40269 77841 120807 187489 362421 416113 562467 1087263 1248339 1687401 3745017 5062203 5812159 11235051 15186609 17436477 33705153 52309431 156928293 180176929 470784879 540530787 1621592361 4864777083 14594331249