Search a number
-
+
11124044304400 = 245227810110761
BaseRepresentation
bin1010000111100000010010…
…1101011001000000010000
31110101110002202220020110201
42201320010231121000100
52424224020320220100
635354152043304544
72225454121315546
oct241700455310020
943343082806421
1011124044304400
1135a9754008865
1212b7ab7b1b154
13628cba472941
142a6599a85d96
1514456673736a
hexa1e04b59010

11124044304400 has 30 divisors (see below), whose sum is σ = 26725516442282. Its totient is φ = 4449617721600.

The previous prime is 11124044304343. The next prime is 11124044304409. The reversal of 11124044304400 is 440344042111.

It can be written as a sum of positive squares in 3 ways, for example, as 2068085591056 + 9055958713344 = 1438084^2 + 3009312^2 .

It is not an unprimeable number, because it can be changed into a prime (11124044304409) 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, 13905054981 + ... + 13905055780.

Almost surely, 211124044304400 is an apocalyptic number.

11124044304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11124044304400 is an abundant number, since it is smaller than the sum of its proper divisors (15601472137882).

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

11124044304400 is a wasteful number, since it uses less digits than its factorization.

11124044304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27810110779 (or 27810110768 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 11124044304400 its reverse (440344042111), we get a palindrome (11564388346511).

The spelling of 11124044304400 in words is "eleven trillion, one hundred twenty-four billion, forty-four million, three hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 27810110761 55620221522 111240443044 139050553805 222480886088 278101107610 444961772176 556202215220 695252769025 1112404430440 1390505538050 2224808860880 2781011076100 5562022152200 11124044304400