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41111961483321 = 347124292
BaseRepresentation
bin10010101100100000111111…
…10111000011100000111001
312101120021011021122002110000
421112100133313003200321
520342034244114431241
6223234324021543213
711442145505515341
oct1126203767034071
9171507137562400
1041111961483321
111211053751a573
12473b934874b09
1319c2ac253cc01
14a21b88415d21
154b463a880eb6
hex25641fdc3839

41111961483321 has 15 divisors (see below), whose sum is σ = 61414250888991. Its totient is φ = 27407935851048.

The previous prime is 41111961483247. The next prime is 41111961483353. The reversal of 41111961483321 is 12338416911114.

The square root of 41111961483321 is 6411861.

It is a perfect power (a square), and thus also a powerful number.

41111961483321 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 1 + 9 + 614 + 8 + 3 + 3 + 21 = 666.

41111961483321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 25508671473321 + 15603290010000 = 5050611^2 + 3950100^2 .

It is a de Polignac number, because none of the positive numbers 2k-41111961483321 is a prime.

It is a super-3 number, since 3×411119614833213 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (41111961483371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 57350535 + ... + 58062963.

Almost surely, 241111961483321 is an apocalyptic number.

41111961483321 is the 6411861-st square number.

41111961483321 is the 3205931-st centered octagonal number.

It is an amenable number.

41111961483321 is a deficient number, since it is larger than the sum of its proper divisors (20302289405670).

41111961483321 is an frugal number, since it uses more digits than its factorization.

41111961483321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424870 (or 712432 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 41111961483321 in words is "forty-one trillion, one hundred eleven billion, nine hundred sixty-one million, four hundred eighty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 712429 2137287 6411861 19235583 57706749 507555080041 1522665240123 4567995720369 13703987161107 41111961483321