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4048440008080 = 245132299440829
BaseRepresentation
bin111010111010011001110…
…101000001110110010000
3112100000201202010001221111
4322322121311001312100
51012312201120224310
612335454435303104
7565330055166346
oct72723165016620
915300652101844
104048440008080
111320a2a9296a6
1255474644aa94
132349c65ccb00
14ddd347d1996
157049890528a
hex3ae99d41d90

4048440008080 has 60 divisors (see below), whose sum is σ = 10192366971540. Its totient is φ = 1494808613376.

The previous prime is 4048440008071. The next prime is 4048440008153. The reversal of 4048440008080 is 808000448404.

4048440008080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 594373153936 + 3454066854144 = 770956^2 + 1858512^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149706895 + ... + 149733934.

It is an arithmetic number, because the mean of its divisors is an integer number (169872782859).

Almost surely, 24048440008080 is an apocalyptic number.

4048440008080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4048440008080 is an abundant number, since it is smaller than the sum of its proper divisors (6143926963460).

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

4048440008080 is a wasteful number, since it uses less digits than its factorization.

4048440008080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299440868 (or 299440849 counting only the distinct ones).

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

The spelling of 4048440008080 in words is "four trillion, forty-eight billion, four hundred forty million, eight thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 13520 299440829 598881658 1197763316 1497204145 2395526632 2994408290 3892730777 4791053264 5988816580 7785461554 11977633160 15570923108 19463653885 23955266320 31141846216 38927307770 50605500101 62283692432 77854615540 101211000202 155709231080 202422000404 253027500505 311418462160 404844000808 506055001010 809688001616 1012110002020 2024220004040 4048440008080