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11243342304 = 25321372331223
BaseRepresentation
bin10100111100010011…
…11100100111100000
31002000120022222010100
422132021330213200
5141011243423204
65055355502400
7545422555425
oct123611744740
932016288110
1011243342304
11484a634537
122219457a00
1310a247888c
14789335d4c
1545c10aa39
hex29e27c9e0

11243342304 has 144 divisors (see below), whose sum is σ = 32371309152. Its totient is φ = 3701428224.

The previous prime is 11243342281. The next prime is 11243342323. The reversal of 11243342304 is 40324334211.

11243342304 is a `hidden beast` number, since 1 + 1 + 24 + 334 + 2 + 304 = 666.

11243342304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 9192637 + ... + 9193859.

It is an arithmetic number, because the mean of its divisors is an integer number (224800758).

Almost surely, 211243342304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11243342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16185654576).

11243342304 is an abundant number, since it is smaller than the sum of its proper divisors (21127966848).

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

11243342304 is a wasteful number, since it uses less digits than its factorization.

11243342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 11243342304 its reverse (40324334211), we get a palindrome (51567676515).

The spelling of 11243342304 in words is "eleven billion, two hundred forty-three million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 233 274 288 411 466 548 699 822 932 1096 1223 1233 1398 1644 1864 2097 2192 2446 2466 2796 3288 3669 3728 4194 4384 4892 4932 5592 6576 7338 7456 8388 9784 9864 11007 11184 13152 14676 16776 19568 19728 22014 22368 29352 31921 33552 39136 39456 44028 58704 63842 67104 88056 95763 117408 127684 167551 176112 191526 255368 284959 287289 335102 352224 383052 502653 510736 569918 574578 670204 766104 854877 1005306 1021472 1139836 1149156 1340408 1507959 1532208 1709754 2010612 2279672 2298312 2564631 2680816 3015918 3064416 3419508 4021224 4559344 4596624 5129262 5361632 6031836 6839016 8042448 9118688 9193248 10258524 12063672 13678032 16084896 20517048 24127344 27356064 39039383 41034096 48254688 78078766 82068192 117118149 156157532 234236298 312315064 351354447 468472596 624630128 702708894 936945192 1249260256 1405417788 1873890384 2810835576 3747780768 5621671152 11243342304