Search a number
-
+
420433041314 = 2112131928125031
BaseRepresentation
bin1100001111000111100…
…00110001011110100010
31111012012200221102020202
412013203300301132202
523342021324310224
6521051055105202
742242502613016
oct6074360613642
91435180842222
10420433041314
11152339544800
1269596212202
1330853955930
14164c5bb0546
15ae0a6a2eae
hex61e3c317a2

420433041314 has 96 divisors (see below), whose sum is σ = 788634161280. Its totient is φ = 166519584000.

The previous prime is 420433041289. The next prime is 420433041359. The reversal of 420433041314 is 413140334024.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16783979 + ... + 16809009.

It is an arithmetic number, because the mean of its divisors is an integer number (8214939180).

Almost surely, 2420433041314 is an apocalyptic number.

420433041314 is a deficient number, since it is larger than the sum of its proper divisors (368201119966).

420433041314 is a wasteful number, since it uses less digits than its factorization.

420433041314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25368 (or 25357 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 420433041314 its reverse (413140334024), we get a palindrome (833573375338).

The spelling of 420433041314 in words is "four hundred twenty billion, four hundred thirty-three million, forty-one thousand, three hundred fourteen".

Divisors: 1 2 11 13 19 22 26 38 121 143 209 242 247 281 286 418 494 562 1573 2299 2717 3091 3146 3653 4598 5339 5434 6182 7306 10678 25031 29887 34001 40183 50062 58729 59774 68002 69407 80366 117458 138814 275341 325403 442013 475589 550682 646019 650806 763477 884026 951178 1292038 1526954 3028751 3579433 5231479 6057502 6182657 7033711 7158866 8398247 10462958 12365314 14067422 16796494 39373763 57546269 68009227 77370821 78747526 91438243 115092538 133640509 136018454 154741642 182876486 267281018 748101497 851079031 1005820673 1470045599 1496202994 1702158062 1737326617 2011641346 2940091198 3474653234 11064027403 16170501589 19110592787 22128054806 32341003178 38221185574 210216520657 420433041314