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4440048008080 = 2451491196931121
BaseRepresentation
bin100000010011100011101…
…1110111111101110010000
3120201110112120122200010111
41000213013132333232100
51040221204242224310
613235421354011104
7635532346235146
oct100470736775620
916643476580114
104440048008080
111462017392203
125b8617116a94
13262905427b79
14114c84209596
157a7686c028a
hex409c77bfb90

4440048008080 has 80 divisors (see below), whose sum is σ = 10393596486000. Its totient is φ = 1763895541760.

The previous prime is 4440048008063. The next prime is 4440048008089. The reversal of 4440048008080 is 808008400444.

It can be written as a sum of positive squares in 8 ways, for example, as 1085172224656 + 3354875783424 = 1041716^2 + 1831632^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4440048008089) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 142654920 + ... + 142686040.

It is an arithmetic number, because the mean of its divisors is an integer number (129919956075).

Almost surely, 24440048008080 is an apocalyptic number.

4440048008080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440048008080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196798243000).

4440048008080 is an abundant number, since it is smaller than the sum of its proper divisors (5953548477920).

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

4440048008080 is a wasteful number, since it uses less digits than its factorization.

4440048008080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43252 (or 43246 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 4440048008080 in words is "four trillion, four hundred forty billion, forty-eight million, eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 5960 11920 11969 23938 31121 47876 59845 62242 95752 119690 124484 155605 191504 239380 248968 311210 478760 497936 622420 957520 1244840 1783381 2489680 3566762 4637029 7133524 8916905 9274058 14267048 17833810 18548116 23185145 28534096 35667620 37096232 46370290 71335240 74192464 92740580 142670480 185481160 370962320 372487249 744974498 1489948996 1862436245 2979897992 3724872490 5959795984 7449744980 14899489960 29798979920 55500600101 111001200202 222002400404 277503000505 444004800808 555006001010 888009601616 1110012002020 2220024004040 4440048008080