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44000440040 = 2352414619901
BaseRepresentation
bin101000111110101000…
…010110111011101000
311012120110120221120102
4220332220112323220
51210103103040130
632114042044532
73115241366204
oct507650267350
9135513527512
1044000440040
111772a112937
12863b7a9748
1341c2ac934b
1421b59d7b04
151227ce7645
hexa3ea16ee8

44000440040 has 64 divisors (see below), whose sum is σ = 99637488720. Its totient is φ = 17487360000.

The previous prime is 44000440039. The next prime is 44000440051. The reversal of 44000440040 is 4004400044.

It can be written as a sum of positive squares in 8 ways, for example, as 32985097924 + 11015342116 = 181618^2 + 104954^2 .

It is a super-3 number, since 3×440004400403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 44000439994 and 44000440021.

It is an unprimeable number.

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, 4439090 + ... + 4448990.

Almost surely, 244000440040 is an apocalyptic number.

44000440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44000440040 is an abundant number, since it is smaller than the sum of its proper divisors (55637048680).

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

44000440040 is a wasteful number, since it uses less digits than its factorization.

44000440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10614 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 44000440040 its reverse (4004400044), we get a palindrome (48004840084).

The spelling of 44000440040 in words is "forty-four billion, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 241 461 482 922 964 1205 1844 1928 2305 2410 3688 4610 4820 9220 9640 9901 18440 19802 39604 49505 79208 99010 111101 198020 222202 396040 444404 555505 888808 1111010 2222020 2386141 4444040 4564361 4772282 9128722 9544564 11930705 18257444 19089128 22821805 23861410 36514888 45643610 47722820 91287220 95445640 182574440 1100011001 2200022002 4400044004 5500055005 8800088008 11000110010 22000220020 44000440040