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42224443326 = 2321323109167431
BaseRepresentation
bin100111010100110001…
…011101111110111110
311000222200201222002100
4213110301131332332
51142433424141301
631221520205530
73023234563212
oct472461357676
9130880658070
1042224443326
11169a866325a
128224a698a6
133c9bb91910
142087bac942
151171e31286
hex9d4c5dfbe

42224443326 has 192 divisors, whose sum is σ = 104613949440. Its totient is φ = 12211119360.

The previous prime is 42224443321. The next prime is 42224443333. The reversal of 42224443326 is 62334442224.

It is a super-2 number, since 2×422244433262 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42224443321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97968331 + ... + 97968761.

It is an arithmetic number, because the mean of its divisors is an integer number (544864320).

Almost surely, 242224443326 is an apocalyptic number.

42224443326 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42224443326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52306974720).

42224443326 is an abundant number, since it is smaller than the sum of its proper divisors (62389506114).

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

42224443326 is a wasteful number, since it uses less digits than its factorization.

42224443326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 748 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

The spelling of 42224443326 in words is "forty-two billion, two hundred twenty-four million, four hundred forty-three thousand, three hundred twenty-six".