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4440144225 = 35211107179281
BaseRepresentation
bin1000010001010011…
…10011100101100001
3102110102220200211010
410020221303211201
533043134103400
62012331411133
7215013413616
oct41051634541
912412820733
104440144225
111979389090
12a3abb3aa9
13559b7a39a
143019a850d
151aec18450
hex108a73961

4440144225 has 96 divisors (see below), whose sum is σ = 8157335040. Its totient is φ = 2113216000.

The previous prime is 4440144221. The next prime is 4440144277. The reversal of 4440144225 is 5224410444.

It is not a de Polignac number, because 4440144225 - 22 = 4440144221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4440144192 and 4440144201.

It is not an unprimeable number, because it can be changed into a prime (4440144221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15801085 + ... + 15801365.

It is an arithmetic number, because the mean of its divisors is an integer number (84972240).

Almost surely, 24440144225 is an apocalyptic number.

It is an amenable number.

4440144225 is a deficient number, since it is larger than the sum of its proper divisors (3717190815).

4440144225 is a wasteful number, since it uses less digits than its factorization.

4440144225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 4440144225 is about 66634.4072157921. The cubic root of 4440144225 is about 1643.6109491208.

Adding to 4440144225 its reverse (5224410444), we get a palindrome (9664554669).

The spelling of 4440144225 in words is "four billion, four hundred forty million, one hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 107 165 179 275 281 321 535 537 825 843 895 1177 1405 1605 1969 2675 2685 3091 3531 4215 4475 5885 5907 7025 8025 9273 9845 13425 15455 17655 19153 21075 29425 29535 30067 46365 49225 50299 57459 77275 88275 90201 95765 147675 150335 150897 210683 231825 251495 287295 330737 451005 478825 553289 632049 751675 754485 992211 1053415 1257475 1436475 1653685 1659867 2255025 2766445 3160245 3772425 4961055 5267075 5381993 8268425 8299335 13832225 15801225 16145979 24805275 26909965 41496675 59201923 80729895 134549825 177605769 296009615 403649475 888028845 1480048075 4440144225