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230693044140801 = 32112443995348941
BaseRepresentation
bin110100011101000001101000…
…111100101011101100000001
31010020211001001220010221210200
4310131001220330223230001
5220214133323300001201
62134350531005515413
766410010456013464
oct6435015074535401
91106731056127720
10230693044140801
1167562409298030
1221a59a35872b69
139b95350a48638
1440d78625692db
151ba0cc7425386
hexd1d068f2bb01

230693044140801 has 24 divisors (see below), whose sum is σ = 363531190226880. Its totient is φ = 139808243743200.

The previous prime is 230693044140763. The next prime is 230693044140841. The reversal of 230693044140801 is 108041440396032.

230693044140801 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 93 + 0 + 441 + 40 + 80 + 1 = 666.

It is not a de Polignac number, because 230693044140801 - 210 = 230693044139777 is a prime.

It is a super-2 number, since 2×2306930441408012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230693044140841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45255010 + ... + 50093931.

It is an arithmetic number, because the mean of its divisors is an integer number (15147132926120).

Almost surely, 2230693044140801 is an apocalyptic number.

It is an amenable number.

230693044140801 is a deficient number, since it is larger than the sum of its proper divisors (132838146086079).

230693044140801 is a wasteful number, since it uses less digits than its factorization.

230693044140801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95373397 (or 95373394 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 230693044140801 in words is "two hundred thirty trillion, six hundred ninety-three billion, forty-four million, one hundred forty thousand, eight hundred one".

Divisors: 1 3 9 11 33 99 24439 73317 219951 268829 806487 2419461 95348941 286046823 858140469 1048838351 3146515053 9439545159 2330232769099 6990698307297 20972094921891 25632560460089 76897681380267 230693044140801