Search a number
-
+
233456121112336 = 241737134093172993
BaseRepresentation
bin110101000101001110111101…
…001010110110011100010000
31010121121012001110221100200121
4311011032331022312130100
5221044421114001043321
62144304132250400024
7100113435212526343
oct6505167512663420
91117535043840617
10233456121112336
11684282041a7851
122222543a730014
13a035a827cb125
14419149d6d445a
151becae1e08441
hexd453bd2b6710

233456121112336 has 80 divisors (see below), whose sum is σ = 491878887472944. Its totient is φ = 106891053760512.

The previous prime is 233456121112307. The next prime is 233456121112343. The reversal of 233456121112336 is 633211121654332.

233456121112336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 122780671454736 + 110675449657600 = 11080644^2 + 10520240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233456121112292 and 233456121112301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1349425456 + ... + 1349598448.

Almost surely, 2233456121112336 is an apocalyptic number.

It is an amenable number.

233456121112336 is an abundant number, since it is smaller than the sum of its proper divisors (258422766360608).

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

233456121112336 is a wasteful number, since it uses less digits than its factorization.

233456121112336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307148 (or 307142 counting only the distinct ones).

The product of its digits is 466560, while the sum is 43.

Adding to 233456121112336 its reverse (633211121654332), we get a palindrome (866667242766668).

The spelling of 233456121112336 in words is "two hundred thirty-three trillion, four hundred fifty-six billion, one hundred twenty-one million, one hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 1258 2516 5032 10064 134093 172993 268186 345986 536372 691972 1072744 1383944 2145488 2279581 2767888 2940881 4559162 4961441 5881762 6400741 9118324 9922882 11763524 12801482 18236648 19845764 23527048 25602964 36473296 39691528 47054096 51205928 79383056 84344497 102411856 108812597 168688994 217625194 337377988 435250388 674755976 870500776 1349511952 1741001552 23197150349 46394300698 92788601396 185577202792 371154405584 394351555933 788703111866 858294562913 1577406223732 1716589125826 3154812447464 3433178251652 6309624894928 6866356503304 13732713006608 14591007569521 29182015139042 58364030278084 116728060556168 233456121112336