Search a number
-
+
213141224144 = 2418173598489
BaseRepresentation
bin1100011010000000110…
…1001111101011010000
3202101011011211001001202
43012200031033223100
511443003123133034
6241525444050332
721253560340562
oct3064015175320
9671134731052
10213141224144
1182435734422
12353846939a8
1317139a39454
14a45d4cd332
155826ec047e
hex31a034fad0

213141224144 has 20 divisors (see below), whose sum is σ = 415242680580. Its totient is φ = 105981822720.

The previous prime is 213141224137. The next prime is 213141224201. The reversal of 213141224144 is 441422141312.

It can be written as a sum of positive squares in 2 ways, for example, as 25555219600 + 187586004544 = 159860^2 + 433112^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 36796349 + ... + 36802140.

It is an arithmetic number, because the mean of its divisors is an integer number (20762134029).

Almost surely, 2213141224144 is an apocalyptic number.

It is an amenable number.

213141224144 is a deficient number, since it is larger than the sum of its proper divisors (202101456436).

213141224144 is a wasteful number, since it uses less digits than its factorization.

213141224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73598678 (or 73598672 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

Adding to 213141224144 its reverse (441422141312), we get a palindrome (654563365456).

The spelling of 213141224144 in words is "two hundred thirteen billion, one hundred forty-one million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 181 362 724 1448 2896 73598489 147196978 294393956 588787912 1177575824 13321326509 26642653018 53285306036 106570612072 213141224144