Search a number
-
+
230347313615577 = 31671992310427523
BaseRepresentation
bin110100010111111111101001…
…110011011001001011011001
31010012120222200100011112210010
4310113333221303121023121
5220143002244241144302
62133524032304512133
766343021111024524
oct6427775163311331
91105528610145703
10230347313615577
1167439824437334
1221a02a2931b649
139b6b87386c462
1440c4c25b55bbb
151b96ce012616c
hexd17fe9cd92d9

230347313615577 has 16 divisors (see below), whose sum is σ = 310521459225600. Its totient is φ = 151878263586192.

The previous prime is 230347313615561. The next prime is 230347313615597. The reversal of 230347313615577 is 775516313743032.

It is a happy number.

It is not a de Polignac number, because 230347313615577 - 24 = 230347313615561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230347313615557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155114063 + ... + 1155313460.

It is an arithmetic number, because the mean of its divisors is an integer number (19407591201600).

Almost surely, 2230347313615577 is an apocalyptic number.

It is an amenable number.

230347313615577 is a deficient number, since it is larger than the sum of its proper divisors (80174145610023).

230347313615577 is a wasteful number, since it uses less digits than its factorization.

230347313615577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310427892.

The product of its (nonzero) digits is 33339600, while the sum is 57.

The spelling of 230347313615577 in words is "two hundred thirty trillion, three hundred forty-seven billion, three hundred thirteen million, six hundred fifteen thousand, five hundred seventy-seven".

Divisors: 1 3 167 199 501 597 33233 99699 2310427523 6931282569 385841396341 459775077077 1157524189023 1379325231231 76782437871859 230347313615577