Search a number
-
+
41001404220 = 223257374192099
BaseRepresentation
bin100110001011110111…
…111100011100111100
310220211110101010211200
4212023313330130330
51132432324413340
630500310215500
72651024120430
oct461367743474
9126743333750
1041001404220
1116430250937
127b43354590
133b3569193a
141dad5a29c0
1510ee894330
hex98bdfc73c

41001404220 has 288 divisors, whose sum is σ = 146397888000. Its totient is φ = 9092362752.

The previous prime is 41001404207. The next prime is 41001404231. The reversal of 41001404220 is 2240410014.

41001404220 is a `hidden beast` number, since 4 + 100 + 140 + 422 + 0 = 666.

It is a super-2 number, since 2×410014042202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41001404193 and 41001404202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19532731 + ... + 19534829.

It is an arithmetic number, because the mean of its divisors is an integer number (508326000).

Almost surely, 241001404220 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 41001404220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73198944000).

41001404220 is an abundant number, since it is smaller than the sum of its proper divisors (105396483780).

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

41001404220 is a wasteful number, since it uses less digits than its factorization.

41001404220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 41001404220 its reverse (2240410014), we get a palindrome (43241814234).

The spelling of 41001404220 in words is "forty-one billion, one million, four hundred four thousand, two hundred twenty".