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442305503244 = 22321110710438627
BaseRepresentation
bin1100110111110110111…
…01100110000000001100
31120021200000211121101100
412123323131212000030
524221320202100434
6535105313543100
743645512513423
oct6337335460014
91507600747340
10442305503244
11160642a20120
127187b274a90
133292b2418b7
141759ca322ba
15b78a9dc699
hex66fb76600c

442305503244 has 72 divisors (see below), whose sum is σ = 1231090031808. Its totient is φ = 132779322720.

The previous prime is 442305503239. The next prime is 442305503279.

442305503244 is a `hidden beast` number, since 4 + 4 + 2 + 30 + 550 + 32 + 44 = 666.

442305503244 is nontrivially palindromic in base 10.

442305503244 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 442305503199 and 442305503208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5176942 + ... + 5261685.

It is an arithmetic number, because the mean of its divisors is an integer number (17098472664).

Almost surely, 2442305503244 is an apocalyptic number.

442305503244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442305503244 is an abundant number, since it is smaller than the sum of its proper divisors (788784528564).

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

442305503244 is a wasteful number, since it uses less digits than its factorization.

442305503244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10438755 (or 10438750 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 442305 and 503244, that added together give a palindrome (945549).

The spelling of 442305503244 in words is "four hundred forty-two billion, three hundred five million, five hundred three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 107 132 198 214 321 396 428 642 963 1177 1284 1926 2354 3531 3852 4708 7062 10593 14124 21186 42372 10438627 20877254 31315881 41754508 62631762 93947643 114824897 125263524 187895286 229649794 344474691 375790572 459299588 688949382 1033424073 1116933089 1377898764 2066848146 2233866178 3350799267 4133696292 4467732356 6701598534 10052397801 12286263979 13403197068 20104795602 24572527958 36858791937 40209591204 49145055916 73717583874 110576375811 147435167748 221152751622 442305503244