Search a number
-
+
4144115269 = 7284573781
BaseRepresentation
bin1111011100000010…
…0010111001000101
3101200210212212102201
43313000202321011
531441343142034
61523114434501
7204460253500
oct36700427105
911623785381
104144115269
111837277158
12977a32a31
1351073cc18
142b454a137
15193c41014
hexf7022e45

4144115269 has 6 divisors (see below), whose sum is σ = 4820705574. Its totient is φ = 3552098760.

The previous prime is 4144115267. The next prime is 4144115293. The reversal of 4144115269 is 9625114414.

It can be written as a sum of positive squares in only one way, i.e., 2546514369 + 1597600900 = 50463^2 + 39970^2 .

It is not a de Polignac number, because 4144115269 - 21 = 4144115267 is a prime.

It is a super-2 number, since 2×41441152692 = 34347382725517884722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144115267) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42286842 + ... + 42286939.

It is an arithmetic number, because the mean of its divisors is an integer number (803450929).

Almost surely, 24144115269 is an apocalyptic number.

4144115269 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4144115269 is a deficient number, since it is larger than the sum of its proper divisors (676590305).

4144115269 is an equidigital number, since it uses as much as digits as its factorization.

4144115269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84573795 (or 84573788 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 4144115269 is about 64374.8030598929. The cubic root of 4144115269 is about 1606.2406363739.

The spelling of 4144115269 in words is "four billion, one hundred forty-four million, one hundred fifteen thousand, two hundred sixty-nine".

Divisors: 1 7 49 84573781 592016467 4144115269