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4414321344 = 26344351899
BaseRepresentation
bin1000001110001110…
…10011001011000000
3102101122022202111010
410013013103023000
533020031240334
62010010120520
7214251053346
oct40707231300
912348282433
104414321344
111965850a64
12a32420140
13554708784
142dc3a5996
151ac8170e9
hex1071d32c0

4414321344 has 56 divisors (see below), whose sum is σ = 11706148800. Its totient is φ = 1468090624.

The previous prime is 4414321343. The next prime is 4414321403. The reversal of 4414321344 is 4431234144.

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

It is not an unprimeable number, because it can be changed into a prime (4414321343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 59107 + ... + 111005.

Almost surely, 24414321344 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 4414321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853074400).

4414321344 is an abundant number, since it is smaller than the sum of its proper divisors (7291827456).

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

4414321344 is a wasteful number, since it uses less digits than its factorization.

4414321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52357 (or 52347 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 4414321344 is about 66440.3593006540. The cubic root of 4414321344 is about 1640.4184615290.

Adding to 4414321344 its reverse (4431234144), we get a palindrome (8845555488).

The spelling of 4414321344 in words is "four billion, four hundred fourteen million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 443 886 1329 1772 2658 3544 5316 7088 10632 14176 21264 28352 42528 51899 85056 103798 155697 207596 311394 415192 622788 830384 1245576 1660768 2491152 3321536 4982304 9964608 22991257 45982514 68973771 91965028 137947542 183930056 275895084 367860112 551790168 735720224 1103580336 1471440448 2207160672 4414321344