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411433431234241 = 13277612118666121
BaseRepresentation
bin101110110001100100100111…
…1100001000111011011000001
31222221202122121020020211022211
41131203021033201013123001
5412411411131343443431
64015013524202102121
7152443040654622133
oct13543111741073301
91887678536224284
10411433431234241
1110a105a35980009
123a18a67b7aa941
13148760104b5a40
1473856acda9053
1532874db1822b1
hex176324f8476c1

411433431234241 has 16 divisors (see below), whose sum is σ = 444754403656528. Its totient is φ = 378351799372800.

The previous prime is 411433431234233. The next prime is 411433431234313. The reversal of 411433431234241 is 142432134334114.

It can be written as a sum of positive squares in 8 ways, for example, as 18810262926400 + 392623168307841 = 4337080^2 + 19814721^2 .

It is a cyclic number.

It is not a de Polignac number, because 411433431234241 - 23 = 411433431234233 is a prime.

It is a super-2 number, since 2×4114334312342412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 411433431234194 and 411433431234203.

It is not an unprimeable number, because it can be changed into a prime (411433431294241) 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, 12708661 + ... + 31374781.

It is an arithmetic number, because the mean of its divisors is an integer number (27797150228533).

Almost surely, 2411433431234241 is an apocalyptic number.

It is an amenable number.

411433431234241 is a deficient number, since it is larger than the sum of its proper divisors (33320972422287).

411433431234241 is a wasteful number, since it uses less digits than its factorization.

411433431234241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18672532.

The product of its digits is 331776, while the sum is 40.

Adding to 411433431234241 its reverse (142432134334114), we get a palindrome (553865565568355).

The spelling of 411433431234241 in words is "four hundred eleven trillion, four hundred thirty-three billion, four hundred thirty-one million, two hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 13 277 3601 6121 79573 1695517 18666121 22041721 242659573 5170515517 67216701721 114255326641 1485319246333 31648725479557 411433431234241