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2433420241241 = 111941223812909
BaseRepresentation
bin100011011010010011001…
…001100010100101011001
322121122002020111101021112
4203122103021202211121
5304332121040204431
65101521532550105
7340544264524523
oct43322311424531
98548066441245
102433420241241
1185900a318070
12333743622335
13148616a29792
1485ac7416a13
1543473904c2b
hex23693262959

2433420241241 has 48 divisors (see below), whose sum is σ = 2866363502400. Its totient is φ = 2043091008000.

The previous prime is 2433420241223. The next prime is 2433420241249. The reversal of 2433420241241 is 1421420243342.

It is a happy number.

It is not a de Polignac number, because 2433420241241 - 218 = 2433419979097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2433420241198 and 2433420241207.

It is not an unprimeable number, because it can be changed into a prime (2433420241249) 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 47 ways as a sum of consecutive naturals, for example, 836512895 + ... + 836515803.

It is an arithmetic number, because the mean of its divisors is an integer number (59715906300).

Almost surely, 22433420241241 is an apocalyptic number.

It is an amenable number.

2433420241241 is a deficient number, since it is larger than the sum of its proper divisors (432943261159).

2433420241241 is a wasteful number, since it uses less digits than its factorization.

2433420241241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5402 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2433420241241 its reverse (1421420243342), we get a palindrome (3854840484583).

The spelling of 2433420241241 in words is "two trillion, four hundred thirty-three billion, four hundred twenty million, two hundred forty-one thousand, two hundred forty-one".

Divisors: 1 11 19 41 209 451 779 1681 2381 2909 8569 18491 26191 31939 31999 45239 55271 97621 119269 351329 497629 607981 1073831 1311959 1854799 2266111 4002461 4890029 6926329 20402789 24927221 44027071 53790319 76046759 76189619 92910551 131600251 283979489 836514349 1022016061 1447602761 3123774379 5395610291 11643159049 59351713201 128074749539 221220021931 2433420241241