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404440440444 = 223310133696761
BaseRepresentation
bin1011110001010101000…
…01110101111001111100
31102122221011001010011000
411320222201311321330
523111243223043234
6505444122130300
741135261010345
oct5705241657174
91378834033130
10404440440444
111465820a2a97
1266472350990
132c1a55904b1
1415809c070cc
15a7c166e899
hex5e2a875e7c

404440440444 has 48 divisors (see below), whose sum is σ = 1049584667040. Its totient is φ = 134680360320.

The previous prime is 404440440427. The next prime is 404440440473. The reversal of 404440440444 is 444044044404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404440440399 and 404440440408.

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, 1738977 + ... + 1957784.

It is an arithmetic number, because the mean of its divisors is an integer number (21866347230).

Almost surely, 2404440440444 is an apocalyptic number.

It is an amenable number.

404440440444 is an abundant number, since it is smaller than the sum of its proper divisors (645144226596).

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

404440440444 is a wasteful number, since it uses less digits than its factorization.

404440440444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697787 (or 3697779 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 404440440444 its reverse (444044044404), we get a palindrome (848484484848).

The spelling of 404440440444 in words is "four hundred four billion, four hundred forty million, four hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1013 2026 3039 4052 6078 9117 12156 18234 27351 36468 54702 109404 3696761 7393522 11090283 14787044 22180566 33270849 44361132 66541698 99812547 133083396 199625094 399250188 3744818893 7489637786 11234456679 14979275572 22468913358 33703370037 44937826716 67406740074 101110110111 134813480148 202220220222 404440440444