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4430204120020 = 225724520616449
BaseRepresentation
bin100000001110111110010…
…1111100010101111010100
3120200112010112122100022211
41000131330233202233110
51040041024223320040
613231112505203204
7635033405460100
oct100357457425724
916615115570284
104430204120020
111458925804428
125b672a490504
132619c6b99533
141145ccac2900
157a38e39c8ea
hex4077cbe2bd4

4430204120020 has 36 divisors (see below), whose sum is σ = 10822355781300. Its totient is φ = 1518927126528.

The previous prime is 4430204119997. The next prime is 4430204120071. The reversal of 4430204120020 is 200214020344.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1166646252996 + 3263557867024 = 1080114^2 + 1806532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4430204119973 and 4430204120000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2260307245 + ... + 2260309204.

It is an arithmetic number, because the mean of its divisors is an integer number (300620993925).

Almost surely, 24430204120020 is an apocalyptic number.

It is an amenable number.

4430204120020 is an abundant number, since it is smaller than the sum of its proper divisors (6392151661280).

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

4430204120020 is a wasteful number, since it uses less digits than its factorization.

4430204120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520616472 (or 4520616463 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 4430204120020 its reverse (200214020344), we get a palindrome (4630418140364).

The spelling of 4430204120020 in words is "four trillion, four hundred thirty billion, two hundred four million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 4520616449 9041232898 18082465796 22603082245 31644315143 45206164490 63288630286 90412328980 126577260572 158221575715 221510206001 316443151430 443020412002 632886302860 886040824004 1107551030005 2215102060010 4430204120020