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404440442244 = 223231335892833
BaseRepresentation
bin1011110001010101000…
…01110110010110000100
31102122221011001012121200
411320222201312112010
523111243223122434
6505444122142500
741135261015526
oct5705241662604
91378834035550
10404440442244
111465820a4383
1266472351a30
132c1a5591267
1415809c07a16
15a7c1670199
hex5e2a876584

404440442244 has 36 divisors (see below), whose sum is σ = 1025601838716. Its totient is φ = 134382763008.

The previous prime is 404440442243. The next prime is 404440442291. The reversal of 404440442244 is 442244044404.

404440442244 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 404 + 4 + 2 + 244 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19343246400 + 385097195844 = 139080^2 + 620562^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 404440442199 and 404440442208.

It is not an unprimeable number, because it can be changed into a prime (404440442243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17935149 + ... + 17957684.

Almost surely, 2404440442244 is an apocalyptic number.

It is an amenable number.

404440442244 is an abundant number, since it is smaller than the sum of its proper divisors (621161396472).

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

404440442244 is a wasteful number, since it uses less digits than its factorization.

404440442244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35893156 (or 35893151 counting only the distinct ones).

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

Adding to 404440442244 its reverse (442244044404), we get a palindrome (846684486648).

The spelling of 404440442244 in words is "four hundred four billion, four hundred forty million, four hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 313 626 939 1252 1878 2817 3756 5634 11268 35892833 71785666 107678499 143571332 215356998 323035497 430713996 646070994 1292141988 11234456729 22468913458 33703370187 44937826916 67406740374 101110110561 134813480748 202220221122 404440442244