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41403134221344 = 25327418911349807
BaseRepresentation
bin10010110100111111010110…
…00110111001110000100000
312102121002201121111202012100
421122133223012321300200
520411322104330040334
6224020200504130400
711502164156121240
oct1132375306716040
9172532647452170
1041403134221344
1112212a74988235
124788255a66a00
131a143b661bb7c
14a31ccb069b20
154bbecd0d4c99
hex25a7eb1b9c20

41403134221344 has 576 divisors, whose sum is σ = 140627301534720. Its totient is φ = 11310058045440.

The previous prime is 41403134221327. The next prime is 41403134221357. The reversal of 41403134221344 is 44312243130414.

41403134221344 is a `hidden beast` number, since 4 + 1 + 403 + 1 + 34 + 2 + 213 + 4 + 4 = 666.

41403134221344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 41403134221299 and 41403134221308.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 831246489 + ... + 831296295.

It is an arithmetic number, because the mean of its divisors is an integer number (244144620720).

Almost surely, 241403134221344 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 41403134221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70313650767360).

41403134221344 is an abundant number, since it is smaller than the sum of its proper divisors (99224167313376).

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

41403134221344 is a wasteful number, since it uses less digits than its factorization.

41403134221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50073 (or 50062 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 41403134221344 its reverse (44312243130414), we get a palindrome (85715377351758).

The spelling of 41403134221344 in words is "forty-one trillion, four hundred three billion, one hundred thirty-four million, two hundred twenty-one thousand, three hundred forty-four".