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40444244000 = 255310111061
BaseRepresentation
bin100101101010101010…
…100011000000100000
310212101121222110200222
4211222222203000200
51130312211302000
630325124302212
72631150254546
oct455252430040
9125347873628
1040444244000
11161747a3146
127a08841968
133a77115334
141d595abd96
1510ba9d9a85
hex96aaa3020

40444244000 has 48 divisors (see below), whose sum is σ = 99371517336. Its totient is φ = 16177696000.

The previous prime is 40444243991. The next prime is 40444244003. The reversal of 40444244000 is 44244404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9991201936 + 30453042064 = 99956^2 + 174508^2 .

It is not an unprimeable number, because it can be changed into a prime (40444244003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5051531 + ... + 5059530.

Almost surely, 240444244000 is an apocalyptic number.

40444244000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444244000 is an abundant number, since it is smaller than the sum of its proper divisors (58927273336).

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

40444244000 is a wasteful number, since it uses less digits than its factorization.

40444244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111086 (or 10111068 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 40444244000 its reverse (44244404), we get a palindrome (40488488404).

The spelling of 40444244000 in words is "forty billion, four hundred forty-four million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 10111061 20222122 40444244 50555305 80888488 101110610 161776976 202221220 252776525 323553952 404442440 505553050 808884880 1011106100 1263882625 1617769760 2022212200 2527765250 4044424400 5055530500 8088848800 10111061000 20222122000 40444244000