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2003314211424 = 253223302432701
BaseRepresentation
bin11101001001101110110…
…101001111101001100000
321002111220102010020100100
4131021232311033221200
5230310241414231144
64132150532022400
7264506664560031
oct35115665175140
97074812106310
102003314211424
11702667711999
12284309a61a00
13116bb1081116
146cd64ac8a88
153719de3b269
hex1d26ed4fa60

2003314211424 has 72 divisors (see below), whose sum is σ = 5944617190512. Its totient is φ = 638737862400.

The previous prime is 2003314211417. The next prime is 2003314211443. The reversal of 2003314211424 is 4241124133002.

2003314211424 is a `hidden beast` number, since 20 + 0 + 3 + 3 + 1 + 4 + 211 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151209727 + ... + 151222974.

It is an arithmetic number, because the mean of its divisors is an integer number (82564127646).

Almost surely, 22003314211424 is an apocalyptic number.

2003314211424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2003314211424 is an abundant number, since it is smaller than the sum of its proper divisors (3941302979088).

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

2003314211424 is a wasteful number, since it uses less digits than its factorization.

2003314211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302432740 (or 302432729 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2003314211424 its reverse (4241124133002), we get a palindrome (6244438344426).

The spelling of 2003314211424 in words is "two trillion, three billion, three hundred fourteen million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 302432701 604865402 907298103 1209730804 1814596206 2419461608 2721894309 3629192412 4838923216 5443788618 6955952123 7258384824 9677846432 10887577236 13911904246 14516769648 20867856369 21775154472 27823808492 29033539296 41735712738 43550308944 55647616984 62603569107 83471425476 87100617888 111295233968 125207138214 166942850952 222590467936 250414276428 333885701904 500828552856 667771403808 1001657105712 2003314211424