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441112122432 = 2635191148501
BaseRepresentation
bin1100110101101000101…
…01001101010001000000
31120011120212021120200000
412122310111031101000
524211344200404212
6534351043400000
743604112114162
oct6326425152100
91504525246600
10441112122432
11160090325493
12715a7683000
133279ac271c7
14174c8346932
15b71ad5d1dc
hex66b454d440

441112122432 has 168 divisors, whose sum is σ = 1318070487552. Its totient is φ = 146266560000.

The previous prime is 441112122403. The next prime is 441112122433. The reversal of 441112122432 is 234221211144.

441112122432 is a `hidden beast` number, since 4 + 4 + 1 + 11 + 212 + 2 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 441112122396 and 441112122405.

It is not an unprimeable number, because it can be changed into a prime (441112122433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2896182 + ... + 3044682.

It is an arithmetic number, because the mean of its divisors is an integer number (7845657664).

Almost surely, 2441112122432 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 441112122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659035243776).

441112122432 is an abundant number, since it is smaller than the sum of its proper divisors (876958365120).

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

441112122432 is a wasteful number, since it uses less digits than its factorization.

441112122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148719 (or 148697 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 441112122432 its reverse (234221211144), we get a palindrome (675333333576).

The spelling of 441112122432 in words is "four hundred forty-one billion, one hundred twelve million, one hundred twenty-two thousand, four hundred thirty-two".