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41410403412444 = 223211104571725789
BaseRepresentation
bin10010110101001100111000…
…11000101010100111011100
312102121210111012202220202100
421122212130120222213130
520411432001233144234
6224023402100125100
711502542254202223
oct1132463430524734
9172553435686670
1041410403412444
1112216065183090
124789744396790
131a14ca4626691
14a323ba659cba
154bc2a6374399
hex25a99c62a9dc

41410403412444 has 36 divisors (see below), whose sum is σ = 114192324562680. Its totient is φ = 12548607094560.

The previous prime is 41410403412361. The next prime is 41410403412449. The reversal of 41410403412444 is 44421430401414.

41410403412444 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 0 + 403 + 4 + 1 + 244 + 4 = 666.

41410403412444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41410403412399 and 41410403412408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41410403412449) 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 11 ways as a sum of consecutive naturals, for example, 52285862499 + ... + 52285863290.

It is an arithmetic number, because the mean of its divisors is an integer number (3172009015630).

Almost surely, 241410403412444 is an apocalyptic number.

41410403412444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41410403412444 is an abundant number, since it is smaller than the sum of its proper divisors (72781921150236).

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

41410403412444 is a wasteful number, since it uses less digits than its factorization.

41410403412444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104571725810 (or 104571725805 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 41410403412444 its reverse (44421430401414), we get a palindrome (85831833813858).

The spelling of 41410403412444 in words is "forty-one trillion, four hundred ten billion, four hundred three million, four hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 104571725789 209143451578 313715177367 418286903156 627430354734 941145532101 1150288983679 1254860709468 1882291064202 2300577967358 3450866951037 3764582128404 4601155934716 6901733902074 10352600853111 13803467804148 20705201706222 41410403412444