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41411113443336 = 233713171139870449
BaseRepresentation
bin10010110101001110001101…
…01101001110000000001000
312102121212022200211020000210
421122213012231032000020
520411434430020141321
6224024000342401120
711502565665312150
oct1132470655160010
9172555280736023
1041411113443336
1112216399a5387a
1247899021301a0
131a150887686c0
14a32446a85760
154bc2e8878b76
hex25a9c6b4e008

41411113443336 has 256 divisors, whose sum is σ = 136107978048000. Its totient is φ = 10188197462016.

The previous prime is 41411113443331. The next prime is 41411113443451. The reversal of 41411113443336 is 63334431111414.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41411113443294 and 41411113443303.

It is not an unprimeable number, because it can be changed into a prime (41411113443331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 739761 + ... + 9130688.

It is an arithmetic number, because the mean of its divisors is an integer number (531671789250).

Almost surely, 241411113443336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41411113443336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68053989024000).

41411113443336 is an abundant number, since it is smaller than the sum of its proper divisors (94696864604664).

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

41411113443336 is a wasteful number, since it uses less digits than its factorization.

41411113443336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9870608 (or 9870604 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The spelling of 41411113443336 in words is "forty-one trillion, four hundred eleven billion, one hundred thirteen million, four hundred forty-three thousand, three hundred thirty-six".