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442042444404 = 2232113730169427
BaseRepresentation
bin1100110111010111100…
…10000110101001110100
31120020222200211211111100
412123223302012221310
524220300331210104
6535023235410100
743636136532141
oct6335362065164
91506880754440
10442042444404
11160518488120
1271807153930
13328b88a9292
1417575b173c8
15b772879139
hex66ebc86a74

442042444404 has 72 divisors (see below), whose sum is σ = 1251910584288. Its totient is φ = 130331920320.

The previous prime is 442042444397. The next prime is 442042444429. The reversal of 442042444404 is 404444240244.

442042444404 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 4 + 244 + 4 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 15070062 + ... + 15099365.

It is an arithmetic number, because the mean of its divisors is an integer number (17387647004).

Almost surely, 2442042444404 is an apocalyptic number.

442042444404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442042444404 is an abundant number, since it is smaller than the sum of its proper divisors (809868139884).

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

442042444404 is a wasteful number, since it uses less digits than its factorization.

442042444404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30169485 (or 30169480 counting only the distinct ones).

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

Adding to 442042444404 its reverse (404444240244), we get a palindrome (846486684648).

It can be divided in two parts, 442042 and 444404, that added together give a triangular number (886446 = T1331).

The spelling of 442042444404 in words is "four hundred forty-two billion, forty-two million, four hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 30169427 60338854 90508281 120677708 181016562 271524843 331863697 362033124 543049686 663727394 995591091 1086099372 1116268799 1327454788 1991182182 2232537598 2986773273 3348806397 3982364364 4465075196 5973546546 6697612794 10046419191 11947093092 12278956789 13395225588 20092838382 24557913578 36836870367 40185676764 49115827156 73673740734 110510611101 147347481468 221021222202 442042444404