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41421314844 = 2233721317107331
BaseRepresentation
bin100110100100111001…
…110001101100011100
310221220201111210221000
4212210321301230130
51134312324033334
631010110310300
72664313236600
oct464471615434
9127821453830
1041421314844
1116626285a08
12803bab8390
133ba1684a70
14200d26b500
15112668c299
hex9a4e71b1c

41421314844 has 576 divisors, whose sum is σ = 144209963520. Its totient is φ = 10154833920.

The previous prime is 41421314843. The next prime is 41421314849. The reversal of 41421314844 is 44841312414.

41421314844 is a `hidden beast` number, since 4 + 1 + 42 + 131 + 484 + 4 = 666.

41421314844 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 = 41421314799 and 41421314808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41421314843) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125139759 + ... + 125140089.

It is an arithmetic number, because the mean of its divisors is an integer number (250364520).

Almost surely, 241421314844 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 41421314844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72104981760).

41421314844 is an abundant number, since it is smaller than the sum of its proper divisors (102788648676).

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

41421314844 is a wasteful number, since it uses less digits than its factorization.

41421314844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 480 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The spelling of 41421314844 in words is "forty-one billion, four hundred twenty-one million, three hundred fourteen thousand, eight hundred forty-four".