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404044040440 = 235157391916417
BaseRepresentation
bin1011110000100101110…
…01101100100011111000
31102121220112010220120101
411320102321230203320
523104440233243230
6505340522005144
741122405451245
oct5702271544370
91377815126511
10404044040440
11146399366887
12663816467b4
132c14140c691
14157ad2dc5cc
15a79b96caca
hex5e12e6c8f8

404044040440 has 64 divisors (see below), whose sum is σ = 915178723200. Its totient is φ = 160537448448.

The previous prime is 404044040383. The next prime is 404044040453. The reversal of 404044040440 is 44040440404.

It is a junction number, because it is equal to n+sod(n) for n = 404044040399 and 404044040408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24603112 + ... + 24619528.

It is an arithmetic number, because the mean of its divisors is an integer number (14299667550).

Almost surely, 2404044040440 is an apocalyptic number.

404044040440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404044040440 is an abundant number, since it is smaller than the sum of its proper divisors (511134682760).

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

404044040440 is a wasteful number, since it uses less digits than its factorization.

404044040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20504 (or 20500 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 404044040440 its reverse (44040440404), we get a palindrome (448084480844).

The spelling of 404044040440 in words is "four hundred four billion, forty-four million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 3919 6280 7838 15676 16417 19595 31352 32834 39190 65668 78380 82085 131336 156760 164170 328340 615283 656680 1230566 2461132 2577469 3076415 4922264 5154938 6152830 10309876 12305660 12887345 20619752 24611320 25774690 51549380 64338223 103098760 128676446 257352892 321691115 514705784 643382230 1286764460 2573528920 10101101011 20202202022 40404404044 50505505055 80808808088 101011010110 202022020220 404044040440