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4144054325 = 522329257967
BaseRepresentation
bin1111011100000001…
…0100000000110101
3101200210202202211112
43313000110000311
531441334214300
61523113244405
7204456611015
oct36700240065
911623682745
104144054325
111837235394
12977a03705
1351071b268
142b4531c45
15193c2ce35
hexf7014035

4144054325 has 48 divisors (see below), whose sum is σ = 5574286080. Its totient is φ = 3046686720.

The previous prime is 4144054309. The next prime is 4144054333. The reversal of 4144054325 is 5234504414.

It is not a de Polignac number, because 4144054325 - 24 = 4144054309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4144054291 and 4144054300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4284992 + ... + 4285958.

It is an arithmetic number, because the mean of its divisors is an integer number (116130960).

Almost surely, 24144054325 is an apocalyptic number.

It is an amenable number.

4144054325 is a deficient number, since it is larger than the sum of its proper divisors (1430231755).

4144054325 is a wasteful number, since it uses less digits than its factorization.

4144054325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 4144054325 is about 64374.3297052482. The cubic root of 4144054325 is about 1606.2327624609.

Adding to 4144054325 its reverse (5234504414), we get a palindrome (9378558739).

The spelling of 4144054325 in words is "four billion, one hundred forty-four million, fifty-four thousand, three hundred twenty-five".

Divisors: 1 5 23 25 29 115 145 257 575 667 725 967 1285 3335 4835 5911 6425 7453 16675 22241 24175 28043 29555 37265 111205 140215 147775 171419 186325 248519 556025 644989 701075 857095 1242595 3224945 4285475 5715937 6212975 7207051 16124725 28579685 36035255 142898425 165762173 180176275 828810865 4144054325