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4144305135 = 351747345791
BaseRepresentation
bin1111011100000101…
…0001001111101111
3101200211020111212210
43313001101033233
531441420231020
61523122501503
7204462004155
oct36701211757
911624214783
104144305135
111837396873
12977b04893
135107a8479
142b45993d5
15193c7c3e0
hexf70513ef

4144305135 has 32 divisors (see below), whose sum is σ = 7170342912. Its totient is φ = 2036011520.

The previous prime is 4144305131. The next prime is 4144305149. The reversal of 4144305135 is 5315034414.

It is not a de Polignac number, because 4144305135 - 22 = 4144305131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144305131) 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 31 ways as a sum of consecutive naturals, for example, 160911 + ... + 184880.

It is an arithmetic number, because the mean of its divisors is an integer number (224073216).

Almost surely, 24144305135 is an apocalyptic number.

4144305135 is a deficient number, since it is larger than the sum of its proper divisors (3026037777).

4144305135 is a wasteful number, since it uses less digits than its factorization.

4144305135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345863.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4144305135 is about 64376.2777348924. The cubic root of 4144305135 is about 1606.2651664049.

Adding to 4144305135 its reverse (5315034414), we get a palindrome (9459339549).

The spelling of 4144305135 in words is "four billion, one hundred forty-four million, three hundred five thousand, one hundred thirty-five".

Divisors: 1 3 5 15 17 47 51 85 141 235 255 705 799 2397 3995 11985 345791 1037373 1728955 5186865 5878447 16252177 17635341 29392235 48756531 81260885 88176705 243782655 276287009 828861027 1381435045 4144305135