Search a number
-
+
4144045122 = 2327191731013
BaseRepresentation
bin1111011100000001…
…0001110001000010
3101200210202022012200
43313000101301002
531441333420442
61523113134030
7204456542130
oct36700216102
911623668180
104144045122
111837229488
129779ba316
13510717009
142b452c750
15193c2a34c
hexf7011c42

4144045122 has 48 divisors (see below), whose sum is σ = 10801527360. Its totient is φ = 1121695776.

The previous prime is 4144045121. The next prime is 4144045159. The reversal of 4144045122 is 2215404414.

4144045122 is a `hidden beast` number, since 4 + 144 + 0 + 4 + 512 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4144045121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 863113 + ... + 867900.

It is an arithmetic number, because the mean of its divisors is an integer number (225031820).

Almost surely, 24144045122 is an apocalyptic number.

4144045122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4144045122 is an abundant number, since it is smaller than the sum of its proper divisors (6657482238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4144045122 is a wasteful number, since it uses less digits than its factorization.

4144045122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731047 (or 1731044 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4144045122 is about 64374.2582248526. The cubic root of 4144045122 is about 1606.2315734344.

Adding to 4144045122 its reverse (2215404414), we get a palindrome (6359449536).

The spelling of 4144045122 in words is "four billion, one hundred forty-four million, forty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 1731013 3462026 5193039 10386078 12117091 15579117 24234182 31158234 32889247 36351273 65778494 72702546 98667741 109053819 197335482 218107638 230224729 296003223 460449458 592006446 690674187 1381348374 2072022561 4144045122