Search a number
-
+
243120544245 = 3251714917312329
BaseRepresentation
bin1110001001101100011…
…1010001100111110101
3212020112111012021221200
43202123013101213311
512440402324403440
6303404341003113
723364516346305
oct3423307214765
9766474167850
10243120544245
119411a233327
123b1506b3499
1319c06a40807
14baa4cb3605
1564cddb1c30
hex389b1d19f5

243120544245 has 96 divisors (see below), whose sum is σ = 451825452000. Its totient is φ = 120507482112.

The previous prime is 243120544243. The next prime is 243120544253. The reversal of 243120544245 is 542445021342.

243120544245 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 205 + 442 + 4 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 93161079729 + 149959464516 = 305223^2 + 387246^2 .

It is not a de Polignac number, because 243120544245 - 21 = 243120544243 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243120544241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19713241 + ... + 19725569.

It is an arithmetic number, because the mean of its divisors is an integer number (4706515125).

Almost surely, 2243120544245 is an apocalyptic number.

It is an amenable number.

243120544245 is a deficient number, since it is larger than the sum of its proper divisors (208704907755).

243120544245 is a wasteful number, since it uses less digits than its factorization.

243120544245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12679 (or 12676 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 243120544245 its reverse (542445021342), we get a palindrome (785565565587).

The spelling of 243120544245 in words is "two hundred forty-three billion, one hundred twenty million, five hundred forty-four thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 149 153 173 255 447 519 745 765 865 1341 1557 2235 2533 2595 2941 6705 7599 7785 8823 12329 12665 14705 22797 25777 26469 36987 37995 44115 61645 77331 110961 113985 128885 132345 184935 209593 231993 386655 438209 554805 628779 1047965 1159965 1314627 1837021 1886337 2132917 2191045 3143895 3943881 5511063 6398751 6573135 9185105 9431685 10664585 16533189 19196253 19719405 27555315 31229357 31993755 36259589 82665945 93688071 95981265 108778767 156146785 181297945 281064213 317804633 326336301 468440355 543893835 953413899 1405321065 1589023165 1631681505 2860241697 4767069495 5402678761 14301208485 16208036283 27013393805 48624108849 81040181415 243120544245