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24244032342042 = 2323373448189113
BaseRepresentation
bin1011000001100110000001…
…11011111000100000011010
310011211201002022001121222100
411200303000323320200122
511134203234234421132
6123321315452104230
75051400502511052
oct540630073704032
9104751068047870
1024244032342042
1177a7922242127
1228767a5465076
13106b2829b75a6
145db5bb5bc562
152c0999cb037c
hex160cc0ef881a

24244032342042 has 48 divisors (see below), whose sum is σ = 52556625831528. Its totient is φ = 8077054648320.

The previous prime is 24244032342011. The next prime is 24244032342071. The reversal of 24244032342042 is 24024323044242.

24244032342042 is a `hidden beast` number, since 2 + 4 + 2 + 440 + 3 + 2 + 3 + 4 + 204 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24133157327601 + 110875014441 = 4912551^2 + 332979^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24244032341988 and 24244032342006.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 272014878 + ... + 272103990.

Almost surely, 224244032342042 is an apocalyptic number.

24244032342042 is an abundant number, since it is smaller than the sum of its proper divisors (28312593489486).

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

24244032342042 is a wasteful number, since it uses less digits than its factorization.

24244032342042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96975 (or 96972 counting only the distinct ones).

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

Adding to 24244032342042 its reverse (24024323044242), we get a palindrome (48268355386284).

The spelling of 24244032342042 in words is "twenty-four trillion, two hundred forty-four billion, thirty-two million, three hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 3373 4481 6746 8962 10119 13443 20238 26886 30357 40329 60714 80658 89113 178226 267339 534678 802017 1604034 15114413 30228826 45343239 90686478 136029717 272059434 300578149 399315353 601156298 798630706 901734447 1197946059 1803468894 2395892118 2705203341 3593838177 5410406682 7187676354 1346890685669 2693781371338 4040672057007 8081344114014 12122016171021 24244032342042