Search a number
-
+
404422440444 = 2232111815642369
BaseRepresentation
bin1011110001010010111…
…01001011010111111100
31102122212220011121210100
411320221131023113330
523111224121043234
6505442240241100
741134652011251
oct5705135132774
91378786147710
10404422440444
11146572a19360
1266468310190
132c1a192a4c9
141580767d428
15a7becb6399
hex5e2974b5fc

404422440444 has 72 divisors (see below), whose sum is σ = 1121387183280. Its totient is φ = 121875148800.

The previous prime is 404422440439. The next prime is 404422440449. The reversal of 404422440444 is 444044224404.

404422440444 is a `hidden beast` number, since 404 + 4 + 2 + 244 + 0 + 4 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (404422440439) and next prime (404422440449).

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 = 404422440399 and 404422440408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404422440449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2749509 + ... + 2892860.

It is an arithmetic number, because the mean of its divisors is an integer number (15574821990).

Almost surely, 2404422440444 is an apocalyptic number.

404422440444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404422440444 is an abundant number, since it is smaller than the sum of its proper divisors (716964742836).

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

404422440444 is a wasteful number, since it uses less digits than its factorization.

404422440444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642571 (or 5642566 counting only the distinct ones).

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

Adding to 404422440444 its reverse (444044224404), we get a palindrome (848466664848).

The spelling of 404422440444 in words is "four hundred four billion, four hundred twenty-two million, four hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 181 198 362 396 543 724 1086 1629 1991 2172 3258 3982 5973 6516 7964 11946 17919 23892 35838 71676 5642369 11284738 16927107 22569476 33854214 50781321 62066059 67708428 101562642 124132118 186198177 203125284 248264236 372396354 558594531 744792708 1021268789 1117189062 2042537578 2234378124 3063806367 4085075156 6127612734 9191419101 11233956679 12255225468 18382838202 22467913358 33701870037 36765676404 44935826716 67403740074 101105610111 134807480148 202211220222 404422440444