Search a number
-
+
230641378353 = 32311801459007
BaseRepresentation
bin1101011011001101001…
…1000010010000110001
3211001022210102222120100
43112303103002100301
512234323143101403
6253542153103013
722443336240411
oct3266323022061
9731283388510
10230641378353
11898a6055291
12388493b7a69
1318998539b99
14b23d7a4641
155eed5412a3
hex35b34c2431

230641378353 has 24 divisors (see below), whose sum is σ = 344087085056. Its totient is φ = 148717944000.

The previous prime is 230641378327. The next prime is 230641378403. The reversal of 230641378353 is 353873146032.

230641378353 is a `hidden beast` number, since 230 + 6 + 41 + 378 + 3 + 5 + 3 = 666.

It is not a de Polignac number, because 230641378353 - 216 = 230641312817 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230641378299 and 230641378308.

It is not an unprimeable number, because it can be changed into a prime (230641378313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272976 + ... + 731982.

Almost surely, 2230641378353 is an apocalyptic number.

It is an amenable number.

230641378353 is a deficient number, since it is larger than the sum of its proper divisors (113445706703).

230641378353 is a wasteful number, since it uses less digits than its factorization.

230641378353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460845 (or 460842 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 230641378353 in words is "two hundred thirty billion, six hundred forty-one million, three hundred seventy-eight thousand, three hundred fifty-three".

Divisors: 1 3 9 31 93 279 1801 5403 16209 55831 167493 459007 502479 1377021 4131063 14229217 42687651 128062953 826671607 2480014821 7440044463 25626819817 76880459451 230641378353