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4424401100 = 2252724492011
BaseRepresentation
bin1000001111011011…
…10000000011001100
3102102100021212022102
410013231300003030
533030121313400
62011010134232
7214432534400
oct40755600314
912370255272
104424401100
111970506039
12a35881378
13556827722
142dd86b100
151ad6589d5
hex107b700cc

4424401100 has 108 divisors (see below), whose sum is σ = 11198892600. Its totient is φ = 1512806400.

The previous prime is 4424401099. The next prime is 4424401103. The reversal of 4424401100 is 11044244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4424401103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2199095 + ... + 2201105.

It is an arithmetic number, because the mean of its divisors is an integer number (103693450).

Almost surely, 24424401100 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 4424401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599446300).

4424401100 is an abundant number, since it is smaller than the sum of its proper divisors (6774491500).

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

4424401100 is a wasteful number, since it uses less digits than its factorization.

4424401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4424401100 is about 66516.1717178612. The cubic root of 4424401100 is about 1641.6661012764. Note that the first 3 decimals are identical.

Adding to 4424401100 its reverse (11044244), we get a palindrome (4435445344).

The spelling of 4424401100 in words is "four billion, four hundred twenty-four million, four hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 449 490 700 898 980 1225 1796 2011 2245 2450 3143 4022 4490 4900 6286 8044 8980 10055 11225 12572 14077 15715 20110 22001 22450 28154 31430 40220 44002 44900 50275 56308 62860 70385 78575 88004 98539 100550 110005 140770 157150 197078 201100 220010 281540 314300 351925 394156 440020 492695 550025 703850 902939 985390 1100050 1407700 1805878 1970780 2200100 2463475 3611756 4514695 4926950 6320573 9029390 9853900 12641146 18058780 22573475 25282292 31602865 44244011 45146950 63205730 88488022 90293900 126411460 158014325 176976044 221220055 316028650 442440110 632057300 884880220 1106100275 2212200550 4424401100