Search a number
-
+
230521383125032 = 2317294716312176269
BaseRepresentation
bin110100011010100001110001…
…001001111000000000101000
31010020012121222112122211101211
4310122201301021320000220
5220203330243040000112
62134140021134322504
766361422525320656
oct6432416111700050
91106177875584354
10230521383125032
11674a662a10415a
1221a30708959434
139b820c49443ac
1440cd41a077dd6
151b9b5cbd770a7
hexd1a871278028

230521383125032 has 256 divisors, whose sum is σ = 486950631552000. Its totient is φ = 101782570401792.

The previous prime is 230521383124997. The next prime is 230521383125063.

230521383125032 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36771632394 + ... + 36771638662.

It is an arithmetic number, because the mean of its divisors is an integer number (1902150904500).

Almost surely, 2230521383125032 is an apocalyptic number.

It is an amenable number.

230521383125032 is an abundant number, since it is smaller than the sum of its proper divisors (256429248426968).

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

230521383125032 is a wasteful number, since it uses less digits than its factorization.

230521383125032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7748 (or 7744 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 230521383125032 in words is "two hundred thirty trillion, five hundred twenty-one billion, three hundred eighty-three million, one hundred twenty-five thousand, thirty-two".