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4444204131 = 33164600153
BaseRepresentation
bin1000010001110010…
…10010110001100011
3102110201112221222000
410020321102301203
533100204013011
62012554415043
7215063053233
oct41071226143
912421487860
104444204131
111980701384
12a40431483
1355a96c2b3
14302343cc3
151b026b356
hex108e52c63

4444204131 has 8 divisors (see below), whose sum is σ = 6584006160. Its totient is φ = 2962802736.

The previous prime is 4444204129. The next prime is 4444204133. The reversal of 4444204131 is 1314024444.

4444204131 is a `hidden beast` number, since 4 + 444 + 204 + 13 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (4444204129) and next prime (4444204133).

It is not a de Polignac number, because 4444204131 - 21 = 4444204129 is a prime.

It is a super-3 number, since 3×44442041313 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 164600153 = 4444204131 / (4 + 4 + 4 + 4 + 2 + 0 + 4 + 1 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 4444204095 and 4444204104.

It is not an unprimeable number, because it can be changed into a prime (4444204133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82300050 + ... + 82300103.

It is an arithmetic number, because the mean of its divisors is an integer number (823000770).

Almost surely, 24444204131 is an apocalyptic number.

4444204131 is a deficient number, since it is larger than the sum of its proper divisors (2139802029).

4444204131 is a wasteful number, since it uses less digits than its factorization.

4444204131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164600162 (or 164600156 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4444204131 is about 66664.8642914692. The cubic root of 4444204131 is about 1644.1117491570. Note that the first 3 decimals are identical.

Adding to 4444204131 its reverse (1314024444), we get a palindrome (5758228575).

The spelling of 4444204131 in words is "four billion, four hundred forty-four million, two hundred four thousand, one hundred thirty-one".

Divisors: 1 3 9 27 164600153 493800459 1481401377 4444204131