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4444252120 = 2357111442939
BaseRepresentation
bin1000010001110010…
…11110011111011000
3102110201122101210101
410020321132133120
533100212031440
62012555425144
7215063343160
oct41071363730
912421571711
104444252120
111980734440
12a404551b4
1355a9880a9
143023575a0
151b027a69a
hex108e5e7d8

4444252120 has 64 divisors (see below), whose sum is σ = 12467001600. Its totient is φ = 1385220480.

The previous prime is 4444252103. The next prime is 4444252129. The reversal of 4444252120 is 212524444.

It is a super-2 number, since 2×44442521202 = 39502753812248988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444252129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718390 + ... + 724549.

It is an arithmetic number, because the mean of its divisors is an integer number (194796900).

Almost surely, 24444252120 is an apocalyptic number.

4444252120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444252120 is an abundant number, since it is smaller than the sum of its proper divisors (8022749480).

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

4444252120 is a wasteful number, since it uses less digits than its factorization.

4444252120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442968 (or 1442964 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 4444252120 is about 66665.2242177284. The cubic root of 4444252120 is about 1644.1176669015.

Adding to 4444252120 its reverse (212524444), we get a palindrome (4656776564).

The spelling of 4444252120 in words is "four billion, four hundred forty-four million, two hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 1442939 2885878 5771756 7214695 10100573 11543512 14429390 15872329 20201146 28858780 31744658 40402292 50502865 57717560 63489316 79361645 80804584 101005730 111106303 126978632 158723290 202011460 222212606 317446580 404022920 444425212 555531515 634893160 888850424 1111063030 2222126060 4444252120