Search a number
-
+
334014124186 = 217157269457509
BaseRepresentation
bin1001101110001001100…
…10110001000010011010
31011221011000111120022101
410313010302301002122
520433030103433221
6413235521514014
733063116132221
oct4670462610232
91157130446271
10334014124186
111197222a1236
12548987a290a
1325660a1c202
1412248739cb8
158a4d8ecd91
hex4dc4cb109a

334014124186 has 64 divisors (see below), whose sum is σ = 538084231200. Its totient is φ = 154955833344.

The previous prime is 334014124109. The next prime is 334014124187. The reversal of 334014124186 is 681421410433.

It can be written as a sum of positive squares in 16 ways, for example, as 89613416025 + 244400708161 = 299355^2 + 494369^2 .

It is a super-3 number, since 3×3340141241863 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (334014124187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656216100 + ... + 656216608.

Almost surely, 2334014124186 is an apocalyptic number.

334014124186 is a deficient number, since it is larger than the sum of its proper divisors (204070107014).

334014124186 is a wasteful number, since it uses less digits than its factorization.

334014124186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411.

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

The spelling of 334014124186 in words is "three hundred thirty-four billion, fourteen million, one hundred twenty-four thousand, one hundred eighty-six".

Divisors: 1 2 17 34 157 269 314 457 509 538 914 1018 2669 4573 5338 7769 8653 9146 15538 17306 42233 71749 79913 84466 122933 136921 143498 159826 232613 245866 273842 465226 717961 1219733 1358521 1435922 2089861 2327657 2439466 2717042 3954421 4179722 4655314 7908842 19300481 21496597 36520241 38600962 42993194 62572897 73040482 125145794 328108177 365442149 620844097 656216354 730884298 1063739249 1241688194 2127478498 9823944829 19647889658 167007062093 334014124186