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44012320020 = 22325415963729
BaseRepresentation
bin101000111111010101…
…101011010100010100
311012121021221111211200
4220333111223110110
51210114123220040
632115144432500
73115444355544
oct507725532424
9135537844750
1044012320020
11177358974a9
128643778730
1341c53c8816
1421b740b324
151228d92630
hexa3f56b514

44012320020 has 72 divisors (see below), whose sum is σ = 136760256360. Its totient is φ = 11450357760.

The previous prime is 44012320007. The next prime is 44012320021. The reversal of 44012320020 is 2002321044.

44012320020 is a `hidden beast` number, since 440 + 1 + 2 + 3 + 200 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1754939664 + 42257380356 = 41892^2 + 205566^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 44012319975 and 44012320002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44012320021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2974485 + ... + 2989244.

It is an arithmetic number, because the mean of its divisors is an integer number (1899448005).

Almost surely, 244012320020 is an apocalyptic number.

It is an amenable number.

44012320020 is an abundant number, since it is smaller than the sum of its proper divisors (92747936340).

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

44012320020 is a wasteful number, since it uses less digits than its factorization.

44012320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5963785 (or 5963780 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 44012320020 its reverse (2002321044), we get a palindrome (46014641064).

The spelling of 44012320020 in words is "forty-four billion, twelve million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 5963729 11927458 17891187 23854916 29818645 35782374 53673561 59637290 71564748 89455935 107347122 119274580 178911870 214694244 244512889 268367805 357823740 489025778 536735610 733538667 978051556 1073471220 1222564445 1467077334 2200616001 2445128890 2934154668 3667693335 4401232002 4890257780 7335386670 8802464004 11003080005 14670773340 22006160010 44012320020