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4083211044641 = 312431633471747
BaseRepresentation
bin111011011010110010010…
…110000000011100100001
3112110100110222221202002102
4323122302112000130201
51013344404011412031
612403445023300145
7601000530134651
oct73326226003441
915410428852072
104083211044641
111334753205053
1255b42b14a655
13238078268261
141018b273a361
15713313097cb
hex3b6b2580721

4083211044641 has 48 divisors (see below), whose sum is σ = 4358795012352. Its totient is φ = 3822676895520.

The previous prime is 4083211044613. The next prime is 4083211044817. The reversal of 4083211044641 is 1464401123804.

It is a de Polignac number, because none of the positive numbers 2k-4083211044641 is a prime.

It is a super-3 number, since 3×40832110446413 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4083211044595 and 4083211044604.

It is not an unprimeable number, because it can be changed into a prime (4083211044611) 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, 2337269330 + ... + 2337271076.

It is an arithmetic number, because the mean of its divisors is an integer number (90808229424).

Almost surely, 24083211044641 is an apocalyptic number.

It is an amenable number.

4083211044641 is a deficient number, since it is larger than the sum of its proper divisors (275583967711).

4083211044641 is a wasteful number, since it uses less digits than its factorization.

4083211044641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 4083211044641 in words is "four trillion, eighty-three billion, two hundred eleven million, forty-four thousand, six hundred forty-one".

Divisors: 1 31 43 163 347 961 1333 1747 5053 7009 10757 14921 41323 54157 56561 75121 156643 217279 284761 333467 462551 606209 1678867 1753391 2328751 2432123 6735649 8827591 12244723 14339081 18792479 26066987 54355121 72191281 75395813 98812067 273655321 379586413 582566849 808076597 2337270203 3063174077 4248918881 11767178803 25050374507 94958396387 131716485311 4083211044641