Search a number
-
+
2004004022424 = 233409629932411
BaseRepresentation
bin11101001010010111111…
…100101010100010011000
321002120200111010021010220
4131022113330222202120
5230313200012204144
64132343213040040
7264533042063565
oct35122774524230
97076614107126
102004004022424
11702991032128
12284480a86020
13116c90c63901
146cdcc56d86c
15371de799919
hex1d297f2a898

2004004022424 has 64 divisors (see below), whose sum is σ = 5023211760000. Its totient is φ = 666241739520.

The previous prime is 2004004022417. The next prime is 2004004022437. The reversal of 2004004022424 is 4242204004002.

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 = 2004004022394 and 2004004022403.

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, 61814779 + ... + 61847189.

It is an arithmetic number, because the mean of its divisors is an integer number (78487683750).

Almost surely, 22004004022424 is an apocalyptic number.

2004004022424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2004004022424 is an abundant number, since it is smaller than the sum of its proper divisors (3019207737576).

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

2004004022424 is a wasteful number, since it uses less digits than its factorization.

2004004022424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39128 (or 39124 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2004004022424 its reverse (4242204004002), we get a palindrome (6246208026426).

The spelling of 2004004022424 in words is "two trillion, four billion, four million, twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 409 818 1227 1636 2454 3272 4908 6299 9816 12598 18897 25196 32411 37794 50392 64822 75588 97233 129644 151176 194466 259288 388932 777864 2576291 5152582 7728873 10305164 13256099 15457746 20610328 26512198 30915492 39768297 53024396 61830984 79536594 106048792 159073188 204156889 318146376 408313778 612470667 816627556 1224941334 1633255112 2449882668 4899765336 83500167601 167000335202 250500502803 334000670404 501001005606 668001340808 1002002011212 2004004022424