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11404034420 = 2252698772417
BaseRepresentation
bin10101001111011101…
…11100000101110100
31002102202200222021012
422213232330011310
5141323413100140
65123340011352
7552413456522
oct124756740564
932382628235
1011404034420
114922309939
122263230b58
1310c984c37c
147a2805312
1546b29d265
hex2a7bbc174

11404034420 has 48 divisors (see below), whose sum is σ = 24074865360. Its totient is φ = 4537595904.

The previous prime is 11404034393. The next prime is 11404034437. The reversal of 11404034420 is 2443040411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 311310736 + 11092723684 = 17644^2 + 105322^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4717052 + ... + 4719468.

It is an arithmetic number, because the mean of its divisors is an integer number (501559695).

Almost surely, 211404034420 is an apocalyptic number.

11404034420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11404034420 is an abundant number, since it is smaller than the sum of its proper divisors (12670830940).

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

11404034420 is a wasteful number, since it uses less digits than its factorization.

11404034420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 11404034420 its reverse (2443040411), we get a palindrome (13847074831).

The spelling of 11404034420 in words is "eleven billion, four hundred four million, thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 269 538 877 1076 1345 1754 2417 2690 3508 4385 4834 5380 8770 9668 12085 17540 24170 48340 235913 471826 650173 943652 1179565 1300346 2119709 2359130 2600692 3250865 4239418 4718260 6501730 8478836 10598545 13003460 21197090 42394180 570201721 1140403442 2280806884 2851008605 5702017210 11404034420