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40444480080 = 2432556172889
BaseRepresentation
bin100101101010101011…
…011100101001010000
310212101122102110112200
4211222223130221100
51130312241330310
630325133323200
72631152260044
oct455253345120
9125348373480
1040444480080
1116174944554
127a08936500
133a77198924
141d59630024
1510baa349c0
hex96aadca50

40444480080 has 60 divisors (see below), whose sum is σ = 135826048020. Its totient is φ = 10785194496.

The previous prime is 40444480079. The next prime is 40444480103. The reversal of 40444480080 is 8008444404.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11219893776 + 29224586304 = 105924^2 + 170952^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28085725 + ... + 28087164.

It is an arithmetic number, because the mean of its divisors is an integer number (2263767467).

Almost surely, 240444480080 is an apocalyptic number.

40444480080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444480080 is an abundant number, since it is smaller than the sum of its proper divisors (95381567940).

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

40444480080 is a wasteful number, since it uses less digits than its factorization.

40444480080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56172908 (or 56172899 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 40444480080 in words is "forty billion, four hundred forty-four million, four hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 56172889 112345778 168518667 224691556 280864445 337037334 449383112 505556001 561728890 674074668 842593335 898766224 1011112002 1123457780 1348149336 1685186670 2022224004 2246915560 2527780005 2696298672 3370373340 4044448008 4493831120 5055560010 6740746680 8088896016 10111120020 13481493360 20222240040 40444480080