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41044144421241 = 341324173130009
BaseRepresentation
bin10010101010100010101011…
…01001011111100101111001
312101022210002222212101110000
421111101111221133211321
520334431401432434431
6223143230350543213
711434225106143233
oct1125212551374571
9171283088771400
1041044144421241
11120947a6564025
12472a768b07b09
1319b95a5431b00
14a1c7936b9253
154b29bbc1b9e6
hex255455a5f979

41044144421241 has 60 divisors (see below), whose sum is σ = 68011348080060. Its totient is φ = 24641887495680.

The previous prime is 41044144421191. The next prime is 41044144421249. The reversal of 41044144421241 is 14212444144014.

41044144421241 is a `hidden beast` number, since 4 + 10 + 44 + 144 + 421 + 2 + 41 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4939488470016 + 36104655951225 = 2222496^2 + 6008715^2 .

It is not a de Polignac number, because 41044144421241 - 218 = 41044144159097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41044144421196 and 41044144421205.

It is not an unprimeable number, because it can be changed into a prime (41044144421249) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 36003756 + ... + 37126253.

It is an arithmetic number, because the mean of its divisors is an integer number (1133522468001).

Almost surely, 241044144421241 is an apocalyptic number.

41044144421241 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

41044144421241 is a deficient number, since it is larger than the sum of its proper divisors (26967203658819).

41044144421241 is a wasteful number, since it uses less digits than its factorization.

41044144421241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73130088 (or 73130066 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 41044144421241 its reverse (14212444144014), we get a palindrome (55256588565255).

The spelling of 41044144421241 in words is "forty-one trillion, forty-four billion, one hundred forty-four million, four hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 3 9 13 27 39 41 81 117 123 169 351 369 507 533 1053 1107 1521 1599 3321 4563 4797 6929 13689 14391 20787 43173 62361 187083 561249 73130009 219390027 658170081 950690117 1974510243 2852070351 2998330369 5923530729 8556211053 8994991107 12358971521 25668633159 26984973321 37076914563 38978294797 77005899477 80954919963 111230743689 116934884391 242864759889 333692231067 350804653173 506717832361 1001076693201 1052413959519 1520153497083 3157241878557 4560460491249 13681381473747 41044144421241