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2042732440340 = 225102136622017
BaseRepresentation
bin11101101110011100010…
…101110110101100010100
321020021122112110201221122
4131232130111312230110
5231432004001042330
64202230205303112
7300403546153154
oct35563425665424
97207575421848
102042732440340
11718355232789
1228ba8ab64a98
1311a82374b027
1470c23cd6764
15382098065e5
hex1db9c576b14

2042732440340 has 12 divisors (see below), whose sum is σ = 4289738124756. Its totient is φ = 817092976128.

The previous prime is 2042732440289. The next prime is 2042732440349. The reversal of 2042732440340 is 430442372402.

It can be written as a sum of positive squares in 2 ways, for example, as 889226368144 + 1153506072196 = 942988^2 + 1074014^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2042732440340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042732440349) 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, 51068310989 + ... + 51068311028.

It is an arithmetic number, because the mean of its divisors is an integer number (357478177063).

Almost surely, 22042732440340 is an apocalyptic number.

2042732440340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042732440340 is an abundant number, since it is smaller than the sum of its proper divisors (2247005684416).

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

2042732440340 is a wasteful number, since it uses less digits than its factorization.

2042732440340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102136622026 (or 102136622024 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 35.

The spelling of 2042732440340 in words is "two trillion, forty-two billion, seven hundred thirty-two million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 102136622017 204273244034 408546488068 510683110085 1021366220170 2042732440340