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11431324240 = 2457100920231
BaseRepresentation
bin10101010010101110…
…00010101001010000
31002111200001102212021
422221113002221100
5141402404333430
65130152541224
7553164436630
oct125127025120
932450042767
1011431324240
114936759106
1222703b1814
1311023b58ab
147a62aa6c0
1546d88e07a
hex2a95c2a50

11431324240 has 80 divisors (see below), whose sum is σ = 30406268160. Its totient is φ = 3915233280.

The previous prime is 11431324237. The next prime is 11431324241. The reversal of 11431324240 is 4242313411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11431324241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554925 + ... + 575155.

It is an arithmetic number, because the mean of its divisors is an integer number (380078352).

Almost surely, 211431324240 is an apocalyptic number.

11431324240 is a gapful number since it is divisible by the number (10) 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 11431324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203134080).

11431324240 is an abundant number, since it is smaller than the sum of its proper divisors (18974943920).

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

11431324240 is a wasteful number, since it uses less digits than its factorization.

11431324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21260 (or 21254 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 11431324240 its reverse (4242313411), we get a palindrome (15673637651).

The spelling of 11431324240 in words is "eleven billion, four hundred thirty-one million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1009 2018 4036 5045 7063 8072 10090 14126 16144 20180 20231 28252 35315 40360 40462 56504 70630 80720 80924 101155 113008 141260 141617 161848 202310 282520 283234 323696 404620 565040 566468 708085 809240 1132936 1416170 1618480 2265872 2832340 5664680 11329360 20413079 40826158 81652316 102065395 142891553 163304632 204130790 285783106 326609264 408261580 571566212 714457765 816523160 1143132424 1428915530 1633046320 2286264848 2857831060 5715662120 11431324240