Search a number
-
+
230304137427 = 327131511186103
BaseRepresentation
bin1101011001111100110…
…0100100000011010011
3211000110021212100222200
43112133030210003103
512233130324344202
6253444504534243
722432102603620
oct3263714440323
9730407770880
10230304137427
1189742755181
1238774481383
1318943700340
14b20aa99347
155ecdb27e1c
hex359f3240d3

230304137427 has 48 divisors (see below), whose sum is σ = 409702745088. Its totient is φ = 121398056640.

The previous prime is 230304137387. The next prime is 230304137431. The reversal of 230304137427 is 724731403032.

230304137427 is a `hidden beast` number, since 230 + 3 + 0 + 413 + 7 + 4 + 2 + 7 = 666.

230304137427 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230304137427 - 214 = 230304121043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230304137391 and 230304137400.

It is not an unprimeable number, because it can be changed into a prime (230304137477) 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 47 ways as a sum of consecutive naturals, for example, 1144458 + ... + 1330560.

It is an arithmetic number, because the mean of its divisors is an integer number (8535473856).

Almost surely, 2230304137427 is an apocalyptic number.

230304137427 is a deficient number, since it is larger than the sum of its proper divisors (179398607661).

230304137427 is a wasteful number, since it uses less digits than its factorization.

230304137427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187640 (or 187637 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 230304137427 in words is "two hundred thirty billion, three hundred four million, one hundred thirty-seven thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1511 4533 10577 13599 19643 31731 58929 95193 137501 176787 186103 412503 558309 1237509 1302721 1674927 2419339 3908163 7258017 11724489 16935373 21774051 50806119 152418357 281201633 843604899 1968411431 2530814697 3655621229 5905234293 10966863687 17715702879 25589348603 32900591061 76768045809 230304137427