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41433222233441 = 1713811789986497
BaseRepresentation
bin10010110101110111011000…
…11111100011110101100001
312102200222101111102010110202
421122323230133203311201
520412320214342432231
6224042054242434545
711504310605033153
oct1132735437436541
9172628344363422
1041433222233441
1112224804875035
124792052362a55
131a1719ccbb11c
14a33543064ad3
154bcb8e7e65cb
hex25aeec7e3d61

41433222233441 has 16 divisors (see below), whose sum is σ = 43926822403920. Its totient is φ = 38945915043840.

The previous prime is 41433222233419. The next prime is 41433222233461. The reversal of 41433222233441 is 14433222233414.

It can be written as a sum of positive squares in 8 ways, for example, as 1838030947600 + 39595191285841 = 1355740^2 + 6292471^2 .

It is a cyclic number.

It is not a de Polignac number, because 41433222233441 - 210 = 41433222232417 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41433222233395 and 41433222233404.

It is not an unprimeable number, because it can be changed into a prime (41433222233401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41507105 + ... + 42493601.

It is an arithmetic number, because the mean of its divisors is an integer number (2745426400245).

Almost surely, 241433222233441 is an apocalyptic number.

It is an amenable number.

41433222233441 is a deficient number, since it is larger than the sum of its proper divisors (2493600170479).

41433222233441 is a wasteful number, since it uses less digits than its factorization.

41433222233441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989684.

The product of its digits is 331776, while the sum is 38.

Adding to 41433222233441 its reverse (14433222233414), we get a palindrome (55866444466855).

The spelling of 41433222233441 in words is "forty-one trillion, four hundred thirty-three billion, two hundred twenty-two million, two hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 17 1381 1789 23477 30413 986497 2470609 16770449 42000353 1362352357 1764843133 23159990069 30002333261 2437248366673 41433222233441