Search a number
-
+
4461404683424 = 251326933982373
BaseRepresentation
bin100000011101100000001…
…1100001111110010100000
3120210111122222000012002012
41000323000130033302200
51041043424044332144
613253312505412052
7640216524051563
oct100730034176240
916714588005065
104461404683424
1114700866a9517
1260079749a028
13264929bc2380
14115d0c7664da
157b0b85c3e9e
hex40ec070fca0

4461404683424 has 48 divisors (see below), whose sum is σ = 9462550720392. Its totient is φ = 2058344721408.

The previous prime is 4461404683399. The next prime is 4461404683471. The reversal of 4461404683424 is 4243864041644.

It can be written as a sum of positive squares in 4 ways, for example, as 1657347264400 + 2804057419024 = 1287380^2 + 1674532^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870899 + ... + 3111474.

Almost surely, 24461404683424 is an apocalyptic number.

It is an amenable number.

4461404683424 is an abundant number, since it is smaller than the sum of its proper divisors (5001146036968).

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

4461404683424 is a wasteful number, since it uses less digits than its factorization.

4461404683424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985089 (or 3985081 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 50.

The spelling of 4461404683424 in words is "four trillion, four hundred sixty-one billion, four hundred four million, six hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 2693 5386 10772 21544 35009 43088 70018 86176 140036 280072 560144 1120288 3982373 7964746 15929492 31858984 51770849 63717968 103541698 127435936 207083396 414166792 828333584 1656667168 10724530489 21449060978 42898121956 85796243912 139418896357 171592487824 278837792714 343184975648 557675585428 1115351170856 2230702341712 4461404683424