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4440144324 = 22371153711277
BaseRepresentation
bin1000010001010011…
…10011100111000100
3102110102220200221210
410020221303213010
533043134104244
62012331411420
7215013414120
oct41051634704
912412820853
104440144324
111979389170
12a3abb3b70
13559b7a445
143019a8580
151aec184b9
hex108a739c4

4440144324 has 192 divisors, whose sum is σ = 13356306432. Its totient is φ = 1114713600.

The previous prime is 4440144301. The next prime is 4440144341. The reversal of 4440144324 is 4234410444.

It is a junction number, because it is equal to n+sod(n) for n = 4440144291 and 4440144300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3476374 + ... + 3477650.

It is an arithmetic number, because the mean of its divisors is an integer number (69564096).

Almost surely, 24440144324 is an apocalyptic number.

4440144324 is a gapful number since it is divisible by the number (44) 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 4440144324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678153216).

4440144324 is an abundant number, since it is smaller than the sum of its proper divisors (8916162108).

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

4440144324 is a wasteful number, since it uses less digits than its factorization.

4440144324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 4440144324 is about 66634.4079586515. The cubic root of 4440144324 is about 1643.6109613364.

Adding to 4440144324 its reverse (4234410444), we get a palindrome (8674554768).

The spelling of 4440144324 in words is "four billion, four hundred forty million, one hundred forty-four thousand, three hundred twenty-four".