Search a number
-
+
14041014004314 = 23211193367431151
BaseRepresentation
bin1100110001010010110110…
…1001101110101001011010
31211201022022102000020200100
43030110231221232221122
53320021444041114224
645510204111320230
72646300262550133
oct314245551565132
954638272006610
1014041014004314
1145238403a2120
1216a92ab220076
137ab0a6107a5b
14367835590c8a
1519538b930ac9
hexcc52da6ea5a

14041014004314 has 48 divisors (see below), whose sum is σ = 33359809152384. Its totient is φ = 4232806848000.

The previous prime is 14041014004291. The next prime is 14041014004357. The reversal of 14041014004314 is 41340041014041.

14041014004314 is a `hidden beast` number, since 140 + 4 + 101 + 400 + 4 + 3 + 14 = 666.

It is a super-3 number, since 3×140410140043143 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183677362 + ... + 183753789.

It is an arithmetic number, because the mean of its divisors is an integer number (694996024008).

Almost surely, 214041014004314 is an apocalyptic number.

14041014004314 is an abundant number, since it is smaller than the sum of its proper divisors (19318795148070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14041014004314 is a wasteful number, since it uses less digits than its factorization.

14041014004314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367431363 (or 367431360 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14041014004314 its reverse (41340041014041), we get a palindrome (55381055018355).

The spelling of 14041014004314 in words is "fourteen trillion, forty-one billion, fourteen million, four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 193 198 386 579 1158 1737 2123 3474 4246 6369 12738 19107 38214 367431151 734862302 1102293453 2204586906 3306880359 4041742661 6613760718 8083485322 12125227983 24250455966 36375683949 70914212143 72751367898 141828424286 212742636429 425485272858 638227909287 780056333573 1276455818574 1560112667146 2340169000719 4680338001438 7020507002157 14041014004314