Search a number
-
+
234423503712 = 25324119852939
BaseRepresentation
bin1101101001010010111…
…0101100101101100000
3211102002101011212012100
43122110232230231200
512320044404104322
6255405341130400
722636142622066
oct3322456545540
9742071155170
10234423503712
1190466a58022
1239523b59a00
131914bc86398
14b4bbc02036
1561705cadac
hex3694bacb60

234423503712 has 72 divisors (see below), whose sum is σ = 682901430120. Its totient is φ = 76235281920.

The previous prime is 234423503693. The next prime is 234423503723. The reversal of 234423503712 is 217305324432.

234423503712 is a `hidden beast` number, since 23 + 44 + 23 + 503 + 71 + 2 = 666.

234423503712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2344235037122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9914662 + ... + 9938277.

It is an arithmetic number, because the mean of its divisors is an integer number (9484742085).

Almost surely, 2234423503712 is an apocalyptic number.

It is an amenable number.

234423503712 is an abundant number, since it is smaller than the sum of its proper divisors (448477926408).

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

234423503712 is a wasteful number, since it uses less digits than its factorization.

234423503712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19852996 (or 19852985 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 234423503712 in words is "two hundred thirty-four billion, four hundred twenty-three million, five hundred three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 19852939 39705878 59558817 79411756 119117634 158823512 178676451 238235268 317647024 357352902 476470536 635294048 714705804 813970499 952941072 1429411608 1627940998 1905882144 2441911497 2858823216 3255881996 4883822994 5717646432 6511763992 7325734491 9767645988 13023527984 14651468982 19535291976 26047055968 29302937964 39070583952 58605875928 78141167904 117211751856 234423503712