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44240240440 = 23511977102913
BaseRepresentation
bin101001001100111011…
…000111111100111000
311020012011211001212201
4221030323013330320
51211101000143230
632153525515544
73124212560554
oct511473077470
9136164731781
1044240240440
111784250a490
1286a7b72bb4
1342306aa386
1421d97ba864
15123ddb45ca
hexa4cec7f38

44240240440 has 64 divisors (see below), whose sum is σ = 108701883360. Its totient is φ = 16070737920.

The previous prime is 44240240419. The next prime is 44240240459. The reversal of 44240240440 is 4404204244.

It is a super-2 number, since 2×442402404402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44240240399 and 44240240408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378424 + ... + 481336.

Almost surely, 244240240440 is an apocalyptic number.

44240240440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44240240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54350941680).

44240240440 is an abundant number, since it is smaller than the sum of its proper divisors (64461642920).

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

44240240440 is a wasteful number, since it uses less digits than its factorization.

44240240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103912 (or 103908 counting only the distinct ones).

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

Adding to 44240240440 its reverse (4404204244), we get a palindrome (48644444684).

The spelling of 44240240440 in words is "forty-four billion, two hundred forty million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 977 1954 3908 4885 7816 9770 10747 19540 21494 39080 42988 53735 85976 102913 107470 205826 214940 411652 429880 514565 823304 1029130 1132043 2058260 2264086 4116520 4528172 5660215 9056344 11320430 22640860 45281720 100546001 201092002 402184004 502730005 804368008 1005460010 1106006011 2010920020 2212012022 4021840040 4424024044 5530030055 8848048088 11060060110 22120120220 44240240440