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44420440240 = 24511149338777
BaseRepresentation
bin101001010111101010…
…100010000010110000
311020122201220011112101
4221113222202002300
51211433113041430
632223444110144
73131531340451
oct512752420260
9136581804471
1044420440240
11179251a9240
128738395354
13425bb21187
1422156c7128
15124eb0bdca
hexa57aa20b0

44420440240 has 80 divisors (see below), whose sum is σ = 113422874400. Its totient is φ = 16044431360.

The previous prime is 44420440223. The next prime is 44420440249. The reversal of 44420440240 is 4204402444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×444204402402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44420440199 and 44420440208.

It is not an unprimeable number, because it can be changed into a prime (44420440249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38269 + ... + 300508.

It is an arithmetic number, because the mean of its divisors is an integer number (1417785930).

Almost surely, 244420440240 is an apocalyptic number.

44420440240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44420440240 is an abundant number, since it is smaller than the sum of its proper divisors (69002434160).

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

44420440240 is a wasteful number, since it uses less digits than its factorization.

44420440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338950 (or 338944 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 44420440240 its reverse (4204402444), we get a palindrome (48624842684).

It can be divided in two parts, 4 and 4420440240, that added together give a palindrome (4420440244).

The spelling of 44420440240 in words is "forty-four billion, four hundred twenty million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 149 176 220 298 440 596 745 880 1192 1490 1639 2384 2980 3278 5960 6556 8195 11920 13112 16390 26224 32780 65560 131120 338777 677554 1355108 1693885 2710216 3387770 3726547 5420432 6775540 7453094 13551080 14906188 18632735 27102160 29812376 37265470 50477773 59624752 74530940 100955546 149061880 201911092 252388865 298123760 403822184 504777730 555255503 807644368 1009555460 1110511006 2019110920 2221022012 2776277515 4038221840 4442044024 5552555030 8884088048 11105110060 22210220120 44420440240