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442444220240 = 24511502777523
BaseRepresentation
bin1100111000000111011…
…10110000011101010000
31120022000200212011022212
412130003232300131100
524222111210021430
6535131151051252
743652115551231
oct6340356603520
91508020764285
10442444220240
11160704256270
12718b9810b28
1332950bbcc69
14175b3221088
15b797c8db95
hex6703bb0750

442444220240 has 40 divisors (see below), whose sum is σ = 1122199433568. Its totient is φ = 160888807040.

The previous prime is 442444220089. The next prime is 442444220261. The reversal of 442444220240 is 42022444244.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 442444220197 and 442444220206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251387882 + ... + 251389641.

Almost surely, 2442444220240 is an apocalyptic number.

442444220240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442444220240 is an abundant number, since it is smaller than the sum of its proper divisors (679755213328).

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

442444220240 is a wasteful number, since it uses less digits than its factorization.

442444220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502777547 (or 502777541 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 442444220240 its reverse (42022444244), we get a palindrome (484466664484).

The spelling of 442444220240 in words is "four hundred forty-two billion, four hundred forty-four million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 502777523 1005555046 2011110092 2513887615 4022220184 5027775230 5530552753 8044440368 10055550460 11061105506 20111100920 22122211012 27652763765 40222201840 44244422024 55305527530 88488844048 110611055060 221222110120 442444220240