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404040444440 = 235101107934673
BaseRepresentation
bin1011110000100101010…
…11111110101000011000
31102121220021101012210012
411320102223332220120
523104433323210230
6505340312541052
741122333053263
oct5702253765030
91377807335705
10404040444440
11146397330086
12663803b1788
132c140750979
14157aca43cda
15a79b4ac395
hex5e12afea18

404040444440 has 64 divisors (see below), whose sum is σ = 926673190560. Its totient is φ = 158520371200.

The previous prime is 404040444433. The next prime is 404040444443. The reversal of 404040444440 is 44444040404.

It is a junction number, because it is equal to n+sod(n) for n = 404040444397 and 404040444406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404040444443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35057 + ... + 899616.

Almost surely, 2404040444440 is an apocalyptic number.

404040444440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404040444440 is an abundant number, since it is smaller than the sum of its proper divisors (522632746120).

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

404040444440 is a wasteful number, since it uses less digits than its factorization.

404040444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934892 (or 934888 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 404040444440 its reverse (44444040404), we get a palindrome (448484484844).

The spelling of 404040444440 in words is "four hundred four billion, forty million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 101 107 202 214 404 428 505 535 808 856 1010 1070 2020 2140 4040 4280 10807 21614 43228 54035 86456 108070 216140 432280 934673 1869346 3738692 4673365 7477384 9346730 18693460 37386920 94401973 100010011 188803946 200020022 377607892 400040044 472009865 500050055 755215784 800080088 944019730 1000100110 1888039460 2000200220 3776078920 4000400440 10101011111 20202022222 40404044444 50505055555 80808088888 101010111110 202020222220 404040444440