Search a number
-
+
4144301031 = 313731455673
BaseRepresentation
bin1111011100000101…
…0000001111100111
3101200211020022020210
43313001100033213
531441420113111
61523122430503
7204461656203
oct36701201747
911624208223
104144301031
111837393782
12977b02433
135107a6640
142b4597b03
15193c7b0a6
hexf70503e7

4144301031 has 16 divisors (see below), whose sum is σ = 6032313056. Its totient is φ = 2515401216.

The previous prime is 4144301011. The next prime is 4144301047. The reversal of 4144301031 is 1301034414.

It is not a de Polignac number, because 4144301031 - 27 = 4144300903 is a prime.

It is a super-2 number, since 2×41443010312 = 34350462071095325922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4144300989 and 4144301007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144301011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724990 + ... + 730683.

It is an arithmetic number, because the mean of its divisors is an integer number (377019566).

Almost surely, 24144301031 is an apocalyptic number.

4144301031 is a deficient number, since it is larger than the sum of its proper divisors (1888012025).

4144301031 is a wasteful number, since it uses less digits than its factorization.

4144301031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455762.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4144301031 is about 64376.2458597890. The cubic root of 4144301031 is about 1606.2646361902.

Adding to 4144301031 its reverse (1301034414), we get a palindrome (5445335445).

The spelling of 4144301031 in words is "four billion, one hundred forty-four million, three hundred one thousand, thirty-one".

Divisors: 1 3 13 39 73 219 949 2847 1455673 4367019 18923749 56771247 106264129 318792387 1381433677 4144301031