Search a number
-
+
20340244443240 = 2332556500679009
BaseRepresentation
bin1001001111111110101010…
…00010110111000001101000
32200000111201121102001222200
410213333111002313001220
510131223310034140430
6111132102421220200
74166351135044461
oct447772502670150
980014647361880
1020340244443240
1165322817a0187
1223460aa861660
13b470cca10267
1450468a1dbd68
1525416a714460
hex127fd50b7068

20340244443240 has 48 divisors (see below), whose sum is σ = 66105794441700. Its totient is φ = 5424065184768.

The previous prime is 20340244443227. The next prime is 20340244443247. The reversal of 20340244443240 is 4234444204302.

20340244443240 is a `hidden beast` number, since 2 + 0 + 3 + 402 + 4 + 4 + 4 + 4 + 3 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19224208549764 + 1116035893476 = 4384542^2 + 1056426^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20340244443195 and 20340244443204.

It is not an unprimeable number, because it can be changed into a prime (20340244443247) 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 11 ways as a sum of consecutive naturals, for example, 28250339145 + ... + 28250339864.

Almost surely, 220340244443240 is an apocalyptic number.

20340244443240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20340244443240 is an abundant number, since it is smaller than the sum of its proper divisors (45765549998460).

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

20340244443240 is a wasteful number, since it uses less digits than its factorization.

20340244443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56500679026 (or 56500679019 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 20340244443240 its reverse (4234444204302), we get a palindrome (24574688647542).

The spelling of 20340244443240 in words is "twenty trillion, three hundred forty billion, two hundred forty-four million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 56500679009 113001358018 169502037027 226002716036 282503395045 339004074054 452005432072 508506111081 565006790090 678008148108 847510185135 1017012222162 1130013580180 1356016296216 1695020370270 2034024444324 2260027160360 2542530555405 3390040740540 4068048888648 5085061110810 6780081481080 10170122221620 20340244443240