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4402321440 = 2535112336251
BaseRepresentation
bin1000001100110011…
…00001100000100000
3102100210202002201020
410012121201200200
533003443241230
62004501005440
7214044054246
oct40631414040
912323662636
104402321440
111959aa5290
12a2a3b3880
1355209683a
142da960796
151ab746810
hex106661820

4402321440 has 192 divisors, whose sum is σ = 15786150912. Its totient is φ = 1020800000.

The previous prime is 4402321433. The next prime is 4402321459. The reversal of 4402321440 is 441232044.

It is a happy number.

It is a super-2 number, since 2×44023214402 = 38760868122167347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4402321440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103315 + ... + 139565.

It is an arithmetic number, because the mean of its divisors is an integer number (82219536).

Almost surely, 24402321440 is an apocalyptic number.

4402321440 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 4402321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893075456).

4402321440 is an abundant number, since it is smaller than the sum of its proper divisors (11383829472).

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

4402321440 is a wasteful number, since it uses less digits than its factorization.

4402321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36303 (or 36295 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4402321440 is about 66349.9920120568. The cubic root of 4402321440 is about 1638.9306731360.

Adding to 4402321440 its reverse (441232044), we get a palindrome (4843553484).

The spelling of 4402321440 in words is "four billion, four hundred two million, three hundred twenty-one thousand, four hundred forty".