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2042424240040 = 235185027275963
BaseRepresentation
bin11101101110001001111…
…110001010011110101000
321020020212001112112121201
4131232021332022132220
5231430341101140130
64202135435413544
7300363114411052
oct35561176123650
97206761475551
102042424240040
11718207268298
1228ba038b42b4
1311a7a493b8a2
1470bd4dca8d2
15381dc727bca
hex1db89f8a7a8

2042424240040 has 32 divisors (see below), whose sum is σ = 4595496029280. Its totient is φ = 816962320192.

The previous prime is 2042424240007. The next prime is 2042424240067. The reversal of 2042424240040 is 400424242402.

It is a junction number, because it is equal to n+sod(n) for n = 2042424239990 and 2042424240008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7263099 + ... + 7539061.

It is an arithmetic number, because the mean of its divisors is an integer number (143609250915).

Almost surely, 22042424240040 is an apocalyptic number.

2042424240040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042424240040 is an abundant number, since it is smaller than the sum of its proper divisors (2553071789240).

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

2042424240040 is a wasteful number, since it uses less digits than its factorization.

2042424240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461001 (or 460997 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2042424240040 its reverse (400424242402), we get a palindrome (2442848482442).

The spelling of 2042424240040 in words is "two trillion, forty-two billion, four hundred twenty-four million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 185027 275963 370054 551926 740108 925135 1103852 1379815 1480216 1850270 2207704 2759630 3700540 5519260 7401080 11038520 51060606001 102121212002 204242424004 255303030005 408484848008 510606060010 1021212120020 2042424240040