Search a number
-
+
240310114032042 = 23226964277722163
BaseRepresentation
bin110110101000111110001110…
…111110111001100110101010
31011111212102102000211011022100
4312220332032332321212222
5222444220103143011132
62211032535313434230
7101421555435222615
oct6650761676714652
91144772360734270
10240310114032042
116a62aa4655468a
1222b51862b6b976
13a4121b9b8a092
14434b1005a917c
151cbb03e35037c
hexda8f8efb99aa

240310114032042 has 48 divisors (see below), whose sum is σ = 522688879121760. Its totient is φ = 79793161723296.

The previous prime is 240310114032031. The next prime is 240310114032077. The reversal of 240310114032042 is 240230411013042.

240310114032042 is a `hidden beast` number, since 2 + 4 + 0 + 310 + 1 + 140 + 3 + 204 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 240310114031997 and 240310114032015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27258453 + ... + 34980615.

It is an arithmetic number, because the mean of its divisors is an integer number (10889351648370).

Almost surely, 2240310114032042 is an apocalyptic number.

240310114032042 is an abundant number, since it is smaller than the sum of its proper divisors (282378765089718).

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

240310114032042 is a wasteful number, since it uses less digits than its factorization.

240310114032042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728867 (or 7728864 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 240310114032042 its reverse (240230411013042), we get a palindrome (480540525045084).

The spelling of 240310114032042 in words is "two hundred forty trillion, three hundred ten billion, one hundred fourteen million, thirty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 269 538 807 1614 2421 4842 6427 12854 19281 38562 57843 115686 1728863 3457726 5186589 7722163 10373178 15444326 15559767 23166489 31119534 46332978 69499467 138998934 2077261847 4154523694 6231785541 12463571082 18695356623 37390713246 49630341601 99260683202 148891024803 297782049606 446673074409 893346148818 13350561890669 26701123781338 40051685672007 80103371344014 120155057016021 240310114032042