Search a number
-
+
3040213033233 = 3253137149312233
BaseRepresentation
bin101100001111011010110…
…100010110000100010001
3101202122022200012000121100
4230033122310112010101
5344302324014030413
610244353220215013
7432435212254035
oct54173264260421
911678280160540
103040213033233
11a7238aaa9842
1241126923a469
131908c9a80b1c
14a720b8ba1c5
1554139caba73
hex2c3dad16111

3040213033233 has 48 divisors (see below), whose sum is σ = 4537197147600. Its totient is φ = 1960796977152.

The previous prime is 3040213033223. The next prime is 3040213033309. The reversal of 3040213033233 is 3323303120403.

It is a happy number.

3040213033233 is a `hidden beast` number, since 30 + 4 + 0 + 2 + 1 + 303 + 323 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9574231104 + 3030638802129 = 97848^2 + 1740873^2 .

It is not a de Polignac number, because 3040213033233 - 28 = 3040213032977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3040213033197 and 3040213033206.

It is not an unprimeable number, because it can be changed into a prime (3040213033213) 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, 9580885 + ... + 9893117.

It is an arithmetic number, because the mean of its divisors is an integer number (94524940575).

Almost surely, 23040213033233 is an apocalyptic number.

It is an amenable number.

3040213033233 is a deficient number, since it is larger than the sum of its proper divisors (1496984114367).

3040213033233 is a wasteful number, since it uses less digits than its factorization.

3040213033233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312578 (or 312575 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 3040213033233 its reverse (3323303120403), we get a palindrome (6363516153636).

The spelling of 3040213033233 in words is "three trillion, forty billion, two hundred thirteen million, thirty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 53 137 149 159 411 447 477 1233 1341 7261 7897 20413 21783 23691 61239 65349 71073 183717 312233 936699 1081889 2810097 3245667 9737001 16548349 42775921 46522717 49645047 128327763 139568151 148935141 384983289 418704453 2267123813 2465704001 6373612229 6801371439 7397112003 19120836687 20404114317 22191336009 57362510061 337801448137 1013404344411 3040213033233