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41211100240 = 245374347832
BaseRepresentation
bin100110011000010111…
…110111110001010000
310221101001221210200221
4212120113313301100
51133400020201430
630533200522424
72656151400202
oct463027676120
9127331853627
1041211100240
1116528656632
127ba1620414
133b69c6231b
141dcd38a772
151112eb657a
hex9985f7c50

41211100240 has 240 divisors, whose sum is σ = 104090266368. Its totient is φ = 15147869184.

The previous prime is 41211100213. The next prime is 41211100243. The reversal of 41211100240 is 4200111214.

It is a happy number.

41211100240 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41211100243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496519239 + ... + 496519321.

Almost surely, 241211100240 is an apocalyptic number.

41211100240 is a gapful number since it is divisible by the number (40) 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 41211100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52045133184).

41211100240 is an abundant number, since it is smaller than the sum of its proper divisors (62879166128).

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

41211100240 is a wasteful number, since it uses less digits than its factorization.

41211100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 41211100240 its reverse (4200111214), we get a palindrome (45411211454).

The spelling of 41211100240 in words is "forty-one billion, two hundred eleven million, one hundred thousand, two hundred forty".