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2241144303244 = 22711311791311307
BaseRepresentation
bin100000100111001110100…
…111000010111010001100
321221020210012101200220121
4200213032213002322030
5243204330420200434
64433322324154324
7320626434155650
oct40471647027214
97836705350817
102241144303244
11794511594a90
123024228389a4
13133453a28bc2
147a6870d0a60
153d46d6217b4
hex209ce9c2e8c

2241144303244 has 96 divisors (see below), whose sum is σ = 5075706101760. Its totient is φ = 840284884800.

The previous prime is 2241144303217. The next prime is 2241144303253. The reversal of 2241144303244 is 4423034411422.

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 31 ways as a sum of consecutive naturals, for example, 1053439 + ... + 2364745.

It is an arithmetic number, because the mean of its divisors is an integer number (52871938560).

Almost surely, 22241144303244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241144303244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537853050880).

2241144303244 is an abundant number, since it is smaller than the sum of its proper divisors (2834561798516).

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

2241144303244 is a wasteful number, since it uses less digits than its factorization.

2241144303244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311539 (or 1311537 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 2241144303244 its reverse (4423034411422), we get a palindrome (6664178714666).

The spelling of 2241144303244 in words is "two trillion, two hundred forty-one billion, one hundred forty-four million, three hundred three thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 179 217 308 341 358 434 682 716 868 1253 1364 1969 2387 2506 3938 4774 5012 5549 7876 9548 11098 13783 22196 27566 38843 55132 61039 77686 122078 155372 244156 427273 854546 1311307 1709092 2622614 5245228 9179149 14424377 18358298 28848754 36716596 40650517 57697508 81301034 100970639 162602068 201941278 234723953 284553619 403882556 447155687 469447906 569107238 894311374 938895812 1138214476 1643067671 1788622748 2581963483 3130089809 3286135342 5163926966 6260179618 6572270684 7276442543 10327853932 12520359236 14552885086 18073744381 29105770172 36147488762 50935097801 72294977524 80040867973 101870195602 160081735946 203740391204 320163471892 560286075811 1120572151622 2241144303244