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404121434120 = 23510103035853
BaseRepresentation
bin1011110000101111000…
…00111011100000001000
31102122002220202220201222
411320113200323200020
523110120041342440
6505352324501212
741124335340635
oct5702740734010
91378086686658
10404121434120
111464290178a8
12663a354a808
132c154469661
14157b96c718c
15a7a36592b5
hex5e1783b808

404121434120 has 16 divisors (see below), whose sum is σ = 909273226860. Its totient is φ = 161648573632.

The previous prime is 404121434117. The next prime is 404121434149. The reversal of 404121434120 is 21434121404.

It can be written as a sum of positive squares in 2 ways, for example, as 396615291076 + 7506143044 = 629774^2 + 86638^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 404121434120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5051517887 + ... + 5051517966.

Almost surely, 2404121434120 is an apocalyptic number.

404121434120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404121434120 is an abundant number, since it is smaller than the sum of its proper divisors (505151792740).

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

404121434120 is a wasteful number, since it uses less digits than its factorization.

404121434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10103035864 (or 10103035860 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 404121434120 its reverse (21434121404), we get a palindrome (425555555524).

The spelling of 404121434120 in words is "four hundred four billion, one hundred twenty-one million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 10103035853 20206071706 40412143412 50515179265 80824286824 101030358530 202060717060 404121434120