Search a number
-
+
243121131144 = 23323376682377
BaseRepresentation
bin1110001001101100100…
…1100000111010001000
3212020112112022010000200
43202123021200322020
512440403002144034
6303404401332200
723364524342343
oct3423311407210
9766475263020
10243121131144
119411a5a4271
123b150937060
1319c06bb79a8
14baa4dc745a
1564cde7aa99
hex389b260e88

243121131144 has 24 divisors (see below), whose sum is σ = 658453063710. Its totient is φ = 81040377024.

The previous prime is 243121131101. The next prime is 243121131181. The reversal of 243121131144 is 441131121342.

It is a happy number.

243121131144 is a `hidden beast` number, since 2 + 431 + 2 + 113 + 114 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 231813360900 + 11307770244 = 481470^2 + 106338^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1688341117 + ... + 1688341260.

Almost surely, 2243121131144 is an apocalyptic number.

243121131144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243121131144 is an abundant number, since it is smaller than the sum of its proper divisors (415331932566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243121131144 is a wasteful number, since it uses less digits than its factorization.

243121131144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376682389 (or 3376682382 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 243121131144 its reverse (441131121342), we get a palindrome (684252252486).

The spelling of 243121131144 in words is "two hundred forty-three billion, one hundred twenty-one million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3376682377 6753364754 10130047131 13506729508 20260094262 27013459016 30390141393 40520188524 60780282786 81040377048 121560565572 243121131144