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4422411144 = 23321729314019
BaseRepresentation
bin1000001111001100…
…01010001110001000
3102102012112202121100
410013212022032020
533024114124034
62010455341400
7214406605644
oct40746121610
912365482540
104422411144
11196a376a48
12a35081860
135562aba38
142dd4adc24
151ad3b4099
hex10798a388

4422411144 has 192 divisors, whose sum is σ = 13545792000. Its totient is φ = 1296046080.

The previous prime is 4422411137. The next prime is 4422411163. The reversal of 4422411144 is 4411142244.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1098367 + ... + 1102385.

It is an arithmetic number, because the mean of its divisors is an integer number (70551000).

Almost surely, 24422411144 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 4422411144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772896000).

4422411144 is an abundant number, since it is smaller than the sum of its proper divisors (9123380856).

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

4422411144 is a wasteful number, since it uses less digits than its factorization.

4422411144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4101 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 4422411144 is about 66501.2115979852. The cubic root of 4422411144 is about 1641.4199411649.

Adding to 4422411144 its reverse (4411142244), we get a palindrome (8833553388).

The spelling of 4422411144 in words is "four billion, four hundred twenty-two million, four hundred eleven thousand, one hundred forty-four".