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4440324030440 = 23519233214311701
BaseRepresentation
bin100000010011101011111…
…1011111011111111101000
3120201111020211001001121212
41000213113323323333220
51040222240422433230
613235505014052252
7635542240341104
oct100472773737750
916644224031555
104440324030440
111462149179961
125b869364a088
1326294a67bbcc
14114cacb3a904
157a782a44895
hex409d7efbfe8

4440324030440 has 128 divisors (see below), whose sum is σ = 10567523865600. Its totient is φ = 1674502502400.

The previous prime is 4440324030433. The next prime is 4440324030641. The reversal of 4440324030440 is 440304230444.

It is a junction number, because it is equal to n+sod(n) for n = 4440324030397 and 4440324030406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379476590 + ... + 379488290.

It is an arithmetic number, because the mean of its divisors is an integer number (82558780200).

Almost surely, 24440324030440 is an apocalyptic number.

4440324030440 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 4440324030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283761932800).

4440324030440 is an abundant number, since it is smaller than the sum of its proper divisors (6127199835160).

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

4440324030440 is a wasteful number, since it uses less digits than its factorization.

4440324030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14107 (or 14103 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 4440324030440 its reverse (440304230444), we get a palindrome (4880628260884).

The spelling of 4440324030440 in words is "four trillion, four hundred forty billion, three hundred twenty-four million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 233 380 466 760 932 1165 1864 2143 2330 4286 4427 4660 8572 8854 9320 10715 11701 17144 17708 21430 22135 23402 35416 40717 42860 44270 46804 58505 81434 85720 88540 93608 117010 162868 177080 203585 222319 234020 325736 407170 444638 468040 499319 814340 889276 998638 1111595 1628680 1778552 1997276 2223190 2496595 2726333 3994552 4446380 4993190 5452666 8892760 9487061 9986380 10905332 13631665 18974122 19972760 21810664 25075243 27263330 37948244 47435305 50150486 51800327 54526660 75896488 94870610 100300972 103600654 109053320 125376215 189741220 200601944 207201308 250752430 259001635 379482440 414402616 476429617 501504860 518003270 952859234 1003009720 1036006540 1905718468 2072013080 2382148085 3811436936 4764296170 5842531619 9528592340 11685063238 19057184680 23370126476 29212658095 46740252952 58425316190 111008100761 116850632380 222016201522 233701264760 444032403044 555040503805 888064806088 1110081007610 2220162015220 4440324030440