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442424424024 = 233211558616697
BaseRepresentation
bin1100111000000101000…
…11001111011001011000
31120021222022121102000200
412130002203033121120
524222041123032044
6535125202502200
743651455361302
oct6340243173130
91507868542020
10442424424024
111606a4065060
12718b3064960
1332949a7b51b
14175b074a972
15b79617d369
hex67028cf658

442424424024 has 48 divisors (see below), whose sum is σ = 1307163073320. Its totient is φ = 134068007040.

The previous prime is 442424424011. The next prime is 442424424041. The reversal of 442424424024 is 420424424244.

442424424024 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 244 + 2 + 402 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 442424424024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279307557 + ... + 279309140.

Almost surely, 2442424424024 is an apocalyptic number.

442424424024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442424424024 is an abundant number, since it is smaller than the sum of its proper divisors (864738649296).

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

442424424024 is a wasteful number, since it uses less digits than its factorization.

442424424024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558616720 (or 558616713 counting only the distinct ones).

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

Adding to 442424424024 its reverse (420424424244), we get a palindrome (862848848268).

The spelling of 442424424024 in words is "four hundred forty-two billion, four hundred twenty-four million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 558616697 1117233394 1675850091 2234466788 3351700182 4468933576 5027550273 6144783667 6703400364 10055100546 12289567334 13406800728 18434351001 20110201092 24579134668 36868702002 40220402184 49158269336 55303053003 73737404004 110606106006 147474808008 221212212012 442424424024