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8008480080440 = 2357262371090129
BaseRepresentation
bin111010010001001111010…
…0111000100001000111000
31001100121021202011010022122
41310202132213010020320
52022202331400033230
625011013413340412
71454410413340640
oct164423647041070
931317252133278
108008480080440
112608417252184
12a9411b937708
13461272736738
141d98809d5520
15dd4bb691be5
hex7489e9c4238

8008480080440 has 64 divisors (see below), whose sum is σ = 20594038276800. Its totient is φ = 2745657427968.

The previous prime is 8008480080431. The next prime is 8008480080449. The reversal of 8008480080440 is 440800848008.

It is an interprime number because it is at equal distance from previous prime (8008480080431) and next prime (8008480080449).

It is a junction number, because it is equal to n+sod(n) for n = 8008480080391 and 8008480080400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008480080449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6801296 + ... + 7891424.

It is an arithmetic number, because the mean of its divisors is an integer number (321781848075).

Almost surely, 28008480080440 is an apocalyptic number.

It is an amenable number.

8008480080440 is an abundant number, since it is smaller than the sum of its proper divisors (12585558196360).

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

8008480080440 is a wasteful number, since it uses less digits than its factorization.

8008480080440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116384 (or 1116380 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The spelling of 8008480080440 in words is "eight trillion, eight billion, four hundred eighty million, eighty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 26237 52474 104948 131185 183659 209896 262370 367318 524740 734636 918295 1049480 1090129 1469272 1836590 2180258 3673180 4360516 5450645 7346360 7630903 8721032 10901290 15261806 21802580 30523612 38154515 43605160 61047224 76309030 152618060 305236120 28601714573 57203429146 114406858292 143008572865 200212002011 228813716584 286017145730 400424004022 572034291460 800848008044 1001060010055 1144068582920 1601696016088 2002120020110 4004240040220 8008480080440