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230042242344033 = 3375637619413019
BaseRepresentation
bin110100010011100011100010…
…001000110110010001100001
31010011111211020101202020022000
4310103203202020312101201
5220123003003020002113
62133131540332434213
766312001134014010
oct6423434210662141
91104454211666260
10230042242344033
1167331404683729
1221973889618969
139b48b761b9772
1440b41652bca77
151b8ddd7633373
hexd138e2236461

230042242344033 has 128 divisors (see below), whose sum is σ = 391238783078400. Its totient is φ = 130864169203200.

The previous prime is 230042242344023. The next prime is 230042242344091. The reversal of 230042242344033 is 330443242240032.

230042242344033 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 4 + 2 + 242 + 3 + 4 + 403 + 3 = 666.

It is not a de Polignac number, because 230042242344033 - 24 = 230042242344017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230042242344023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76198157598 + ... + 76198160616.

It is an arithmetic number, because the mean of its divisors is an integer number (3056552992800).

Almost surely, 2230042242344033 is an apocalyptic number.

It is an amenable number.

230042242344033 is a deficient number, since it is larger than the sum of its proper divisors (161196540734367).

230042242344033 is a wasteful number, since it uses less digits than its factorization.

230042242344033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5300 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 230042242344033 its reverse (330443242240032), we get a palindrome (560485484584065).

The spelling of 230042242344033 in words is "two hundred thirty trillion, forty-two billion, two hundred forty-two million, three hundred forty-four thousand, thirty-three".

Divisors: 1 3 7 9 21 27 63 189 563 761 941 1689 2283 2823 3019 3941 5067 5327 6587 6849 8469 9057 11823 15201 15981 19761 20547 21133 25407 27171 35469 47943 59283 63399 81513 106407 143829 177849 190197 428443 529783 570591 716101 1285329 1589349 1699697 2148303 2297459 2840879 2999101 3708481 3855987 4768047 5012707 5099091 6444909 6892377 8522637 8997303 11125443 11567961 11897879 14304141 15038121 15297273 16082213 19334727 19886153 20677131 25567911 26991909 33376329 35693637 45114363 45891819 48246639 59658459 62031393 76703733 80975727 100128987 107080911 135343089 144739917 178975377 321242733 403164863 434219751 536926131 1209494589 1293469417 1599414877 2161908919 2822154041 3628483767 3880408251 4798244631 6485726757 8466462123 9054285919 10885451301 11195904139 11641224753 14394733893 15133362433 19457180271 25399386369 27162857757 33587712417 34923674259 43184201679 45400087299 58371540813 76198159107 81488573271 100763137251 136200261897 244465719813 302289411753 408600785691 1217154721397 3651464164191 8520083049779 10954392492573 25560249149337 32863177477719 76680747448011 230042242344033