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11431423344 = 24311191263431
BaseRepresentation
bin10101010010101110…
…11010110101110000
31002111200020110210210
422221113122311300
5141402421021334
65130155024120
7553165331565
oct125127326560
932450213723
1011431423344
114936816610
12227043b040
13110241ba33
147a62d486c
1546d8ad5e9
hex2a95dad70

11431423344 has 160 divisors (see below), whose sum is σ = 32583057408. Its totient is φ = 3424864000.

The previous prime is 11431423343. The next prime is 11431423357. The reversal of 11431423344 is 44332413411.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11431423343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26522809 + ... + 26523239.

Almost surely, 211431423344 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 11431423344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291528704).

11431423344 is an abundant number, since it is smaller than the sum of its proper divisors (21151634064).

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

11431423344 is a wasteful number, since it uses less digits than its factorization.

11431423344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 901 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 11431423344 its reverse (44332413411), we get a palindrome (55763836755).

The spelling of 11431423344 in words is "eleven billion, four hundred thirty-one million, four hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 191 263 264 382 431 526 528 573 764 789 862 1052 1146 1293 1528 1578 1724 2101 2104 2292 2586 2893 3056 3156 3448 4202 4208 4584 4741 5172 5786 6303 6312 6896 8404 8679 9168 9482 10344 11572 12606 12624 14223 16808 17358 18964 20688 23144 25212 28446 33616 34716 37928 46288 50233 50424 56892 69432 75856 82321 100466 100848 113353 113784 138864 150699 164642 200932 226706 227568 246963 301398 329284 340059 401864 453412 493926 552563 602796 658568 680118 803728 905531 906824 987852 1105126 1205592 1246883 1317136 1360236 1657689 1811062 1813648 1975704 2210252 2411184 2493766 2716593 2720472 3315378 3622124 3740649 3951408 4420504 4987532 5433186 5440944 6630756 7244248 7481298 8841008 9975064 10866372 13261512 14488496 14962596 19950128 21650423 21732744 26523024 29925192 43300846 43465488 59850384 64951269 86601692 129902538 173203384 238154653 259805076 346406768 476309306 519610152 714463959 952618612 1039220304 1428927918 1905237224 2857855836 3810474448 5715711672 11431423344