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4002444220000 = 2554200122211
BaseRepresentation
bin111010001111100100010…
…001000001011001100000
3112011122000012220221102211
4322033210101001121200
51011034001210020000
612302410354051504
7562111204352002
oct72174421013140
915148005827384
104002444220000
1113034774672a6
1254784a579b94
132305762c7965
14dba0dbd0372
156e1a58687ba
hex3a3e4441660

4002444220000 has 60 divisors (see below), whose sum is σ = 9846613197036. Its totient is φ = 1600977680000.

The previous prime is 4002444219989. The next prime is 4002444220009. The reversal of 4002444220000 is 224442004.

It is a super-2 number, since 2×40024442200002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002444220009) 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 9 ways as a sum of consecutive naturals, for example, 100041106 + ... + 100081105.

Almost surely, 24002444220000 is an apocalyptic number.

4002444220000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002444220000 is an abundant number, since it is smaller than the sum of its proper divisors (5844168977036).

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

4002444220000 is an equidigital number, since it uses as much as digits as its factorization.

4002444220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200122241 (or 200122218 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 4002444220000 its reverse (224442004), we get a palindrome (4002668662004).

The spelling of 4002444220000 in words is "four trillion, two billion, four hundred forty-four million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 200122211 400244422 800488844 1000611055 1600977688 2001222110 3201955376 4002444220 5003055275 6403910752 8004888440 10006110550 16009776880 20012221100 25015276375 32019553760 40024442200 50030552750 80048884400 100061105500 125076381875 160097768800 200122211000 250152763750 400244422000 500305527500 800488844000 1000611055000 2001222110000 4002444220000