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41241447936 = 2932132337809
BaseRepresentation
bin100110011010001011…
…101000111000000000
310221110012001121220200
4212122023220320000
51133430302313221
630540203205200
72660000344353
oct463213507000
9127405047820
1041241447936
11165437a4277
127bab816800
133b73329640
141dd340a29a
1511159ad426
hex99a2e8e00

41241447936 has 480 divisors, whose sum is σ = 137539321920. Its totient is φ = 11795300352.

The previous prime is 41241447917. The next prime is 41241447941. The reversal of 41241447936 is 63974414214.

41241447936 is a `hidden beast` number, since 412 + 4 + 144 + 7 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41241447891 and 41241447900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50977900 + ... + 50978708.

It is an arithmetic number, because the mean of its divisors is an integer number (286540254).

Almost surely, 241241447936 is an apocalyptic number.

41241447936 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41241447936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68769660960).

41241447936 is an abundant number, since it is smaller than the sum of its proper divisors (96297873984).

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

41241447936 is a wasteful number, since it uses less digits than its factorization.

41241447936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 887 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 41241447936 in words is "forty-one billion, two hundred forty-one million, four hundred forty-seven thousand, nine hundred thirty-six".