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10041410032420 = 22513596122348121
BaseRepresentation
bin1001001000011111001010…
…1011011001001100100100
31022112221122010111212011211
42102013302223121030210
52304004301432014140
633204543213441204
72054316333663634
oct222076253311444
938487563455154
1010041410032420
1132215a1203308
121162113aa0204
1357ab9338caa0
1426a014aa06c4
151263006022ea
hex921f2ad9324

10041410032420 has 192 divisors, whose sum is σ = 23578270894080. Its totient is φ = 3568856371200.

The previous prime is 10041410032387. The next prime is 10041410032427. The reversal of 10041410032420 is 2423001414001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10041410032391 and 10041410032400.

It is not an unprimeable number, because it can be changed into a prime (10041410032427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208645960 + ... + 208694080.

It is an arithmetic number, because the mean of its divisors is an integer number (122803494240).

Almost surely, 210041410032420 is an apocalyptic number.

10041410032420 is a gapful number since it is divisible by the number (10) 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 10041410032420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11789135447040).

10041410032420 is an abundant number, since it is smaller than the sum of its proper divisors (13536860861660).

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

10041410032420 is a wasteful number, since it uses less digits than its factorization.

10041410032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48486 (or 48484 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10041410032420 its reverse (2423001414001), we get a palindrome (12464411446421).

The spelling of 10041410032420 in words is "ten trillion, forty-one billion, four hundred ten million, thirty-two thousand, four hundred twenty".