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11240042430 = 2352914299041
BaseRepresentation
bin10100111011111010…
…10110111110111110
31002000100010022112210
422131331112332332
5141004422324210
65055201041250
7545352533001
oct123575267676
932010108483
1011240042430
114848790271
122218326226
1310a18918a6
14788b17538
1545bba7e20
hex29df56fbe

11240042430 has 64 divisors (see below), whose sum is σ = 27928929600. Its totient is φ = 2891642880.

The previous prime is 11240042419. The next prime is 11240042453. The reversal of 11240042430 is 3424004211.

It is a junction number, because it is equal to n+sod(n) for n = 11240042397 and 11240042406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1238710 + ... + 1247750.

It is an arithmetic number, because the mean of its divisors is an integer number (436389525).

Almost surely, 211240042430 is an apocalyptic number.

11240042430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11240042430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13964464800).

11240042430 is an abundant number, since it is smaller than the sum of its proper divisors (16688887170).

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

11240042430 is a wasteful number, since it uses less digits than its factorization.

11240042430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10509.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11240042430 its reverse (3424004211), we get a palindrome (14664046641).

The spelling of 11240042430 in words is "eleven billion, two hundred forty million, forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 1429 2858 4287 7145 8574 9041 14290 18082 21435 27123 41441 42870 45205 54246 82882 90410 124323 135615 207205 248646 262189 271230 414410 524378 621615 786567 1243230 1310945 1573134 2621890 3932835 7865670 12919589 25839178 38758767 64597945 77517534 129195890 193793835 374668081 387587670 749336162 1124004243 1873340405 2248008486 3746680810 5620021215 11240042430