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440244424240 = 24531347511579
BaseRepresentation
bin1100110100000001001…
…11001100111000110000
31120002100101112221111221
412122000213030320300
524203110033033430
6534125005514424
743543444601635
oct6320047147060
91502311487457
10440244424240
1115a785555a45
12713a4b72a14
133269023041a
1417444dd818c
15b6b9ab257a
hex66809cce30

440244424240 has 80 divisors (see below), whose sum is σ = 1059633607680. Its totient is φ = 169925748480.

The previous prime is 440244424237. The next prime is 440244424247. The reversal of 440244424240 is 42424442044.

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

It is a junction number, because it is equal to n+sod(n) for n = 440244424196 and 440244424205.

It is not an unprimeable number, because it can be changed into a prime (440244424247) 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, 604771 + ... + 1116349.

It is an arithmetic number, because the mean of its divisors is an integer number (13245420096).

Almost surely, 2440244424240 is an apocalyptic number.

440244424240 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 440244424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529816803840).

440244424240 is an abundant number, since it is smaller than the sum of its proper divisors (619389183440).

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

440244424240 is a wasteful number, since it uses less digits than its factorization.

440244424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511970 (or 511964 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 440244424240 its reverse (42424442044), we get a palindrome (482668866284).

The spelling of 440244424240 in words is "four hundred forty billion, two hundred forty-four million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 347 496 620 694 1240 1388 1735 2480 2776 3470 5552 6940 10757 13880 21514 27760 43028 53785 86056 107570 172112 215140 430280 511579 860560 1023158 2046316 2557895 4092632 5115790 8185264 10231580 15858949 20463160 31717898 40926320 63435796 79294745 126871592 158589490 177517913 253743184 317178980 355035826 634357960 710071652 887589565 1268715920 1420143304 1775179130 2840286608 3550358260 5503055303 7100716520 11006110606 14201433040 22012221212 27515276515 44024442424 55030553030 88048884848 110061106060 220122212120 440244424240