Search a number
-
+
4144123350 = 2335222713523
BaseRepresentation
bin1111011100000010…
…0100110111010110
3101200210220021112000
43313000210313112
531441343421400
61523114540130
7204460316163
oct36700446726
911623807460
104144123350
111837282234
12977a37646
135107437c3
142b454d06a
15193c43600
hexf7024dd6

4144123350 has 96 divisors (see below), whose sum is σ = 11470515840. Its totient is φ = 1100149920.

The previous prime is 4144123301. The next prime is 4144123381. The reversal of 4144123350 is 533214414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 299689 + ... + 313211.

It is an arithmetic number, because the mean of its divisors is an integer number (119484540).

Almost surely, 24144123350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144123350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735257920).

4144123350 is an abundant number, since it is smaller than the sum of its proper divisors (7326392490).

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

4144123350 is a wasteful number, since it uses less digits than its factorization.

4144123350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13771 (or 13760 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4144123350 is about 64374.8658251029. The cubic root of 4144123350 is about 1606.2416804265.

Adding to 4144123350 its reverse (533214414), we get a palindrome (4677337764).

The spelling of 4144123350 in words is "four billion, one hundred forty-four million, one hundred twenty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 227 270 450 454 675 681 1135 1350 1362 2043 2270 3405 4086 5675 6129 6810 10215 11350 12258 13523 17025 20430 27046 30645 34050 40569 51075 61290 67615 81138 102150 121707 135230 153225 202845 243414 306450 338075 365121 405690 608535 676150 730242 1014225 1217070 1825605 2028450 3042675 3069721 3651210 6085350 6139442 9128025 9209163 15348605 18256050 18418326 27627489 30697210 46045815 55254978 76743025 82882467 92091630 138137445 153486050 165764934 230229075 276274890 414412335 460458150 690687225 828824670 1381374450 2072061675 4144123350