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2002400242242 = 233743263797579
BaseRepresentation
bin11101001000111000010…
…110101110101001000010
321002102112201022210022220
4131020320112232221002
5230301403430222432
64131520122311510
7264445226140611
oct35107026565102
97072481283286
102002400242242
11702238809364
122840b3958596
13116a9690635a
146ccb9573878
1537148aa072c
hex1d2385aea42

2002400242242 has 64 divisors (see below), whose sum is σ = 4224698311680. Its totient is φ = 631911478464.

The previous prime is 2002400242229. The next prime is 2002400242243. The reversal of 2002400242242 is 2422420042002.

It is not an unprimeable number, because it can be changed into a prime (2002400242243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111809 + ... + 2909387.

It is an arithmetic number, because the mean of its divisors is an integer number (66010911120).

Almost surely, 22002400242242 is an apocalyptic number.

2002400242242 is an abundant number, since it is smaller than the sum of its proper divisors (2222298069438).

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

2002400242242 is a wasteful number, since it uses less digits than its factorization.

2002400242242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797927.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2002400242242 its reverse (2422420042002), we get a palindrome (4424820284244).

The spelling of 2002400242242 in words is "two trillion, two billion, four hundred million, two hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 37 43 74 86 111 129 222 258 263 526 789 1578 1591 3182 4773 9546 9731 11309 19462 22618 29193 33927 58386 67854 418433 797579 836866 1255299 1595158 2392737 2510598 4785474 29510423 34295897 59020846 68591794 88531269 102887691 177062538 205775382 209763277 419526554 629289831 1258579662 1268948189 2537896378 3806844567 7613689134 7761241249 9019820911 15522482498 18039641822 23283723747 27059462733 46567447494 54118925466 333733373707 667466747414 1001200121121 2002400242242