Search a number
-
+
1000224023424 = 27312720509843
BaseRepresentation
bin11101000111000011111…
…11110110001110000000
310112121202022221222211220
432203201333312032000
5112341424322222144
62043255132035040
7132156324630363
oct16434177661600
93477668858756
101000224023424
1135621342701a
12141a25002a80
1373422814692
14365a80c00da
151b041268919
hexe8e1ff6380

1000224023424 has 64 divisors (see below), whose sum is σ = 2677765232640. Its totient is φ = 330782731776.

The previous prime is 1000224023329. The next prime is 1000224023431. The reversal of 1000224023424 is 4243204220001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1000224023394 and 1000224023403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10206154 + ... + 10303689.

It is an arithmetic number, because the mean of its divisors is an integer number (41840081760).

Almost surely, 21000224023424 is an apocalyptic number.

It is an amenable number.

1000224023424 is an abundant number, since it is smaller than the sum of its proper divisors (1677541209216).

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

1000224023424 is a wasteful number, since it uses less digits than its factorization.

1000224023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20509987 (or 20509975 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1000224023424 its reverse (4243204220001), we get a palindrome (5243428243425).

The spelling of 1000224023424 in words is "one trillion, two hundred twenty-four million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 2032 3048 4064 6096 8128 12192 16256 24384 48768 20509843 41019686 61529529 82039372 123059058 164078744 246118116 328157488 492236232 656314976 984472464 1312629952 1968944928 2604750061 2625259904 3937889856 5209500122 7814250183 7875779712 10419000244 15628500366 20838000488 31257000732 41676000976 62514001464 83352001952 125028002928 166704003904 250056005856 333408007808 500112011712 1000224023424