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404003414344220 = 225792816731352093
BaseRepresentation
bin101101111011100000110000…
…0000000000000001000011100
31221222110100102120122110211022
41123313001200000000020130
5410423142443033003340
63551124334550143312
7151045166141244665
oct13367014000001034
91858410376573738
10404003414344220
11107800982060649
123938a69a051b38
13144574878222c2
1471a9c2620a36c
1531a90c8c263b5
hex16f706000021c

404003414344220 has 96 divisors (see below), whose sum is σ = 863485736037120. Its totient is φ = 158751609569280.

The previous prime is 404003414344139. The next prime is 404003414344223. The reversal of 404003414344220 is 22443414300404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404003414344223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298122494 + ... + 299474586.

It is an arithmetic number, because the mean of its divisors is an integer number (8994643083720).

Almost surely, 2404003414344220 is an apocalyptic number.

It is an amenable number.

404003414344220 is an abundant number, since it is smaller than the sum of its proper divisors (459482321692900).

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

404003414344220 is a wasteful number, since it uses less digits than its factorization.

404003414344220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353135 (or 1353133 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 404003414344220 its reverse (22443414300404), we get a palindrome (426446828644624).

The spelling of 404003414344220 in words is "four hundred four trillion, three billion, four hundred fourteen million, three hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 79 158 281 316 395 562 673 790 1124 1346 1405 1580 2692 2810 3365 5620 6730 13460 22199 44398 53167 88796 106334 110995 189113 212668 221990 265835 378226 443980 531670 756452 945565 1063340 1352093 1891130 2704186 3782260 5408372 6760465 13520930 14939927 27041860 29879854 59759708 74699635 106815347 149399270 213630694 298798540 379938133 427261388 534076735 759876266 909958589 1068153470 1519752532 1819917178 1899690665 2136306940 3639834356 3799381330 4549792945 7598762660 9099585890 18199171780 30015112507 60030225014 71886728531 120060450028 143773457062 150075562535 255698363509 287546914124 300151125070 359433642655 511396727018 600302250140 718867285310 1022793454036 1278491817545 1437734570620 2556983635090 5113967270180 20200170717211 40400341434422 80800682868844 101000853586055 202001707172110 404003414344220