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442001204424 = 233213617741369
BaseRepresentation
bin1100110111010010101…
…00110010010011001000
31120020212211020121212200
412123221110302103020
524220204302020144
6535015203440200
743635126151023
oct6335124622310
91506784217780
10442001204424
111604a717a99a
12717b5386060
13328b019a220
14175704601ba
15b76de2ec69
hex66e95324c8

442001204424 has 96 divisors (see below), whose sum is σ = 1310304286200. Its totient is φ = 133770839040.

The previous prime is 442001204371. The next prime is 442001204441. The reversal of 442001204424 is 424402100244.

442001204424 is a `hidden beast` number, since 4 + 4 + 200 + 12 + 0 + 442 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69268976100 + 372732228324 = 263190^2 + 610518^2 .

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, 3813589 + ... + 3927780.

Almost surely, 2442001204424 is an apocalyptic number.

It is an amenable number.

442001204424 is an abundant number, since it is smaller than the sum of its proper divisors (868303081776).

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

442001204424 is a wasteful number, since it uses less digits than its factorization.

442001204424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7741455 (or 7741448 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 442001204424 its reverse (424402100244), we get a palindrome (866403304668).

The spelling of 442001204424 in words is "four hundred forty-two billion, one million, two hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 549 732 793 936 1098 1464 1586 2196 2379 3172 4392 4758 6344 7137 9516 14274 19032 28548 57096 7741369 15482738 23224107 30965476 46448214 61930952 69672321 92896428 100637797 139344642 185792856 201275594 278689284 301913391 402551188 472223509 557378568 603826782 805102376 905740173 944447018 1207653564 1416670527 1811480346 1888894036 2415307128 2833341054 3622960692 3777788072 4250011581 5666682108 6138905617 7245921384 8500023162 11333364216 12277811234 17000046324 18416716851 24555622468 34000092648 36833433702 49111244936 55250150553 73666867404 110500301106 147333734808 221000602212 442001204424