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11242431424 = 2673512137
BaseRepresentation
bin10100111100001100…
…11110001111000000
31002000111121200122001
422132012132033000
5141011030301144
65055324153344
7545412043000
oct123606361700
932014550561
1011242431424
11484a072144
122219098854
1310a221a0b3
1478917a000
1545becabd4
hex29e19e3c0

11242431424 has 56 divisors (see below), whose sum is σ = 26016610400. Its totient is φ = 4818175488.

The previous prime is 11242431373. The next prime is 11242431427. The reversal of 11242431424 is 42413424211.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11242431392 and 11242431401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242431427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234117 + ... + 278020.

Almost surely, 211242431424 is an apocalyptic number.

11242431424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11242431424 is an abundant number, since it is smaller than the sum of its proper divisors (14774178976).

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

11242431424 is an frugal number, since it uses more digits than its factorization.

11242431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512170 (or 512146 counting only the distinct ones).

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

Adding to 11242431424 its reverse (42413424211), we get a palindrome (53655855635).

The spelling of 11242431424 in words is "eleven billion, two hundred forty-two million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2744 3136 5488 10976 21952 512137 1024274 2048548 3584959 4097096 7169918 8194192 14339836 16388384 25094713 28679672 32776768 50189426 57359344 100378852 114718688 175662991 200757704 229437376 351325982 401515408 702651964 803030816 1405303928 1606061632 2810607856 5621215712 11242431424