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20440240404 = 22329434729063
BaseRepresentation
bin10011000010010101…
…010101000100010100
31221202111220210112220
4103002111111010110
5313330200143104
613220133142340
71322346114423
oct230225250424
957674823486
1020440240404
118739a8a171
123b6548a9b0
131c0996830c
14dbc9632ba
157e972c7d9
hex4c2555114

20440240404 has 96 divisors (see below), whose sum is σ = 51561861120. Its totient is φ = 6288551808.

The previous prime is 20440240391. The next prime is 20440240421. The reversal of 20440240404 is 40404204402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688777 + ... + 717839.

It is an arithmetic number, because the mean of its divisors is an integer number (537102720).

Almost surely, 220440240404 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 20440240404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25780930560).

20440240404 is an abundant number, since it is smaller than the sum of its proper divisors (31121620716).

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

20440240404 is a wasteful number, since it uses less digits than its factorization.

20440240404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29189 (or 29187 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 20440240404 its reverse (40404204402), we get a palindrome (60844444806).

The spelling of 20440240404 in words is "twenty billion, four hundred forty million, two hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 12 29 43 47 58 86 87 94 116 129 141 172 174 188 258 282 348 516 564 1247 1363 2021 2494 2726 3741 4042 4089 4988 5452 6063 7482 8084 8178 12126 14964 16356 24252 29063 58126 58609 87189 116252 117218 174378 175827 234436 348756 351654 703308 842827 1249709 1365961 1685654 2499418 2528481 2731922 3371308 3749127 4097883 4998836 5056962 5463844 7498254 8195766 10113924 14996508 16391532 36241561 39612869 58736323 72483122 79225738 108724683 117472646 118838607 144966244 158451476 176208969 217449366 234945292 237677214 352417938 434898732 475354428 704835876 1703353367 3406706734 5110060101 6813413468 10220120202 20440240404