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230004313550440 = 235111340210544327
BaseRepresentation
bin110100010011000000001101…
…011001111110111001101000
31010011101012100002000212211221
4310103000031121332321220
5220121342313232103230
62133102304543031424
766306156206414602
oct6423001531767150
91104335302025757
10230004313550440
1167317310887720
122196846329b574
139b45410283230
1440b23a7c24172
151b8ce178c727a
hexd1300d67ee68

230004313550440 has 64 divisors (see below), whose sum is σ = 607983430239360. Its totient is φ = 77204245105920.

The previous prime is 230004313550399. The next prime is 230004313550449. The reversal of 230004313550440 is 44055313400032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 230004313550396 and 230004313550405.

It is not an unprimeable number, because it can be changed into a prime (230004313550449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20105266444 + ... + 20105277883.

It is an arithmetic number, because the mean of its divisors is an integer number (9499741097490).

Almost surely, 2230004313550440 is an apocalyptic number.

230004313550440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230004313550440 is an abundant number, since it is smaller than the sum of its proper divisors (377979116688920).

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

230004313550440 is a wasteful number, since it uses less digits than its factorization.

230004313550440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40210544362 (or 40210544358 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 230004313550440 its reverse (44055313400032), we get a palindrome (274059626950472).

The spelling of 230004313550440 in words is "two hundred thirty trillion, four billion, three hundred thirteen million, five hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 40210544327 80421088654 160842177308 201052721635 321684354616 402105443270 442315987597 522737076251 804210886540 884631975194 1045474152502 1608421773080 1769263950388 2090948305004 2211579937985 2613685381255 3538527900776 4181896610008 4423159875970 5227370762510 5750107838761 8846319751940 10454741525020 11500215677522 17692639503880 20909483050040 23000431355044 28750539193805 46000862710088 57501078387610 115002156775220 230004313550440