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41242191984 = 2434731714341
BaseRepresentation
bin100110011010001110…
…011110100001110000
310221110020110102120000
4212122032132201300
51133431000120414
630540231150000
72660006563530
oct463216364160
9127406412500
1041242191984
1116544162294
127babb15300
133b7352a1c6
141dd35614c0
151115aa8b09
hex99a39e870

41242191984 has 200 divisors, whose sum is σ = 136859166048. Its totient is φ = 11745492480.

The previous prime is 41242191973. The next prime is 41242192001. The reversal of 41242191984 is 48919124214.

41242191984 is a `hidden beast` number, since 412 + 4 + 219 + 19 + 8 + 4 = 666.

It is a super-2 number, since 2×412421919842 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2868654 + ... + 2882994.

Almost surely, 241242191984 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 41242191984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68429583024).

41242191984 is an abundant number, since it is smaller than the sum of its proper divisors (95616974064).

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

41242191984 is a wasteful number, since it uses less digits than its factorization.

41242191984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14685 (or 14670 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

It can be divided in two parts, 412421 and 91984, that added together give a palindrome (504405).

The spelling of 41242191984 in words is "forty-one billion, two hundred forty-two million, one hundred ninety-one thousand, nine hundred eighty-four".