Search a number
-
+
234400713027 = 313192313753489
BaseRepresentation
bin1101101001001101011…
…1110000100101000011
3211102000210021222020220
43122103113300211003
512320023040304102
6255403204434123
722635445120665
oct3322327604503
9742023258226
10234400713027
1190455101048
12395183a8943
1319147336980
14b4b8b8c535
15616d5c81bc
hex36935f0943

234400713027 has 32 divisors (see below), whose sum is σ = 369693811200. Its totient is φ = 130713149952.

The previous prime is 234400713023. The next prime is 234400713031. The reversal of 234400713027 is 720317004432.

234400713027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234400713023) and next prime (234400713031).

It is not a de Polignac number, because 234400713027 - 22 = 234400713023 is a prime.

It is a super-3 number, since 3×2344007130273 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (234400713023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6859702 + ... + 6893787.

It is an arithmetic number, because the mean of its divisors is an integer number (11552931600).

Almost surely, 2234400713027 is an apocalyptic number.

234400713027 is a deficient number, since it is larger than the sum of its proper divisors (135293098173).

234400713027 is a wasteful number, since it uses less digits than its factorization.

234400713027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13753547.

The product of its (nonzero) digits is 28224, while the sum is 33.

Adding to 234400713027 its reverse (720317004432), we get a palindrome (954717717459).

The spelling of 234400713027 in words is "two hundred thirty-four billion, four hundred million, seven hundred thirteen thousand, twenty-seven".

Divisors: 1 3 13 19 23 39 57 69 247 299 437 741 897 1311 5681 17043 13753489 41260467 178795357 261316291 316330247 536386071 783948873 948990741 3397111783 4112293211 6010274693 10191335349 12336879633 18030824079 78133571009 234400713027