Search a number
-
+
11242440240132 = 223291031567200159
BaseRepresentation
bin1010001110011001010110…
…1010000010110000000100
31110210202200222201221110110
42203212111222002300010
52433144004200141012
635524412235153020
72240145102213003
oct243462552026004
943722628657413
1011242440240132
11364498a475732
121316a3a5a5770
1363720823034a
142ac1cbd5ac3a
1514769598973c
hexa3995a82c04

11242440240132 has 96 divisors (see below), whose sum is σ = 27418012876800. Its totient is φ = 3580823417472.

The previous prime is 11242440240071. The next prime is 11242440240221. The reversal of 11242440240132 is 23104204424211.

It is a self number, because there is not a number n which added to its sum of digits gives 11242440240132.

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 31 ways as a sum of consecutive naturals, for example, 56067469 + ... + 56267627.

It is an arithmetic number, because the mean of its divisors is an integer number (285604300800).

Almost surely, 211242440240132 is an apocalyptic number.

11242440240132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11242440240132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13709006438400).

11242440240132 is an abundant number, since it is smaller than the sum of its proper divisors (16175572636668).

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

11242440240132 is a wasteful number, since it uses less digits than its factorization.

11242440240132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201865 (or 201863 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 11242440240132 its reverse (23104204424211), we get a palindrome (34346644664343).

The spelling of 11242440240132 in words is "eleven trillion, two hundred forty-two billion, four hundred forty million, two hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 103 116 174 206 309 348 412 618 1236 1567 2987 3134 4701 5974 6268 8961 9402 11948 17922 18804 35844 45443 90886 136329 161401 181772 200159 272658 322802 400318 484203 545316 600477 645604 800636 968406 1200954 1936812 2401908 4680629 5804611 9361258 11609222 14041887 17413833 18722516 20616377 23218444 28083774 34827666 41232754 56167548 61849131 69655332 82465508 123698262 247396524 313649153 597874933 627298306 940947459 1195749866 1254596612 1793624799 1881894918 2391499732 3587249598 3763789836 7174499196 9095825437 18191650874 27287476311 32305862759 36383301748 54574952622 64611725518 96917588277 109149905244 129223451036 193835176554 387670353108 936870020011 1873740040022 2810610060033 3747480080044 5621220120066 11242440240132