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41222440000 = 265472337173
BaseRepresentation
bin100110011001000011…
…001000010001000000
310221101212021220221001
4212121003020101000
51133410421040000
630534243541344
72656346646550
oct463103102100
9127355256831
1041222440000
1116533aa1335
127ba538a854
133b6c402941
141dd0a9d160
151113ea646a
hex9990c8440

41222440000 has 560 divisors, whose sum is σ = 125918293248. Its totient is φ = 13077504000.

The previous prime is 41222439997. The next prime is 41222440001. The reversal of 41222440000 is 4422214.

It is a tau number, because it is divible by the number of its divisors (560).

It is a self number, because there is not a number n which added to its sum of digits gives 41222440000.

It is not an unprimeable number, because it can be changed into a prime (41222440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 238279914 + ... + 238280086.

Almost surely, 241222440000 is an apocalyptic number.

41222440000 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 41222440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62959146624).

41222440000 is an abundant number, since it is smaller than the sum of its proper divisors (84695853248).

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

41222440000 is a wasteful number, since it uses less digits than its factorization.

41222440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 41222440000 its reverse (4422214), we get a palindrome (41226862214).

The spelling of 41222440000 in words is "forty-one billion, two hundred twenty-two million, four hundred forty thousand".