Search a number
-
+
2602442143120 = 24532530526789
BaseRepresentation
bin100101110111101101101…
…000111011010110010000
3100012210100200000122000111
4211313231220323112100
5320114300142034440
65311313450531104
7356006641141621
oct45675550732620
910183320018014
102602442143120
11913764820686
12360454736a94
1315b542144681
148dd5d203a48
1547a674484ea
hex25deda3b590

2602442143120 has 20 divisors (see below), whose sum is σ = 6050677982940. Its totient is φ = 1040976857216.

The previous prime is 2602442143087. The next prime is 2602442143121. The reversal of 2602442143120 is 213412442062.

It can be written as a sum of positive squares in 2 ways, for example, as 361744508304 + 2240697634816 = 601452^2 + 1496896^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2602442143121) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 16265263315 + ... + 16265263474.

It is an arithmetic number, because the mean of its divisors is an integer number (302533899147).

Almost surely, 22602442143120 is an apocalyptic number.

2602442143120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2602442143120 is an abundant number, since it is smaller than the sum of its proper divisors (3448235839820).

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

2602442143120 is a wasteful number, since it uses less digits than its factorization.

2602442143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32530526802 (or 32530526796 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 2602442143120 its reverse (213412442062), we get a palindrome (2815854585182).

The spelling of 2602442143120 in words is "two trillion, six hundred two billion, four hundred forty-two million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 32530526789 65061053578 130122107156 162652633945 260244214312 325305267890 520488428624 650610535780 1301221071560 2602442143120