Search a number
-
+
3144224224413 = 324359137705261
BaseRepresentation
bin101101110000010010010…
…111100011010010011101
3102010120210101120222201100
4231300102113203102131
5403003332400140123
610404234153103313
7443106543636336
oct55602227432235
912116711528640
103144224224413
111002504672178
124294563b7b39
1319a6645cca6c
14ac27756528d
1556bc622c643
hex2dc125e349d

3144224224413 has 24 divisors (see below), whose sum is σ = 4726044591840. Its totient is φ = 2012700080160.

The previous prime is 3144224224321. The next prime is 3144224224429.

3144224224413 is a `hidden beast` number, since 3 + 1 + 4 + 422 + 4 + 224 + 4 + 1 + 3 = 666.

3144224224413 is nontrivially palindromic in base 10.

3144224224413 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 3144224224413 - 210 = 3144224223389 is a prime.

It is a super-2 number, since 2×31442242244132 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144224224013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68829798 + ... + 68875463.

It is an arithmetic number, because the mean of its divisors is an integer number (196918524660).

Almost surely, 23144224224413 is an apocalyptic number.

It is an amenable number.

3144224224413 is a deficient number, since it is larger than the sum of its proper divisors (1581820367427).

3144224224413 is a wasteful number, since it uses less digits than its factorization.

3144224224413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137705369 (or 137705366 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 3144224224413 in words is "three trillion, one hundred forty-four billion, two hundred twenty-four million, two hundred twenty-four thousand, four hundred thirteen".

Divisors: 1 3 9 43 59 129 177 387 531 2537 7611 22833 137705261 413115783 1239347349 5921326223 8124610399 17763978669 24373831197 53291936007 73121493591 349358247157 1048074741471 3144224224413