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2003040414432 = 25332318333813
BaseRepresentation
bin11101001001011110100…
…000110010101011100000
321002111012022220220111000
4131021132200302223200
5230304211321230212
64132103431352000
7264500131413051
oct35113640625340
97074168826430
102003040414432
11702537105192
12284252222600
13116b69428c75
146cd3a5b6728
1537184da61dc
hex1d25e832ae0

2003040414432 has 48 divisors (see below), whose sum is σ = 5842201211280. Its totient is φ = 667680137856.

The previous prime is 2003040414421. The next prime is 2003040414437. The reversal of 2003040414432 is 2344140403002.

It is a happy number.

2003040414432 is a `hidden beast` number, since 200 + 3 + 0 + 4 + 0 + 414 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2003040414396 and 2003040414405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003040414437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1159166043 + ... + 1159167770.

It is an arithmetic number, because the mean of its divisors is an integer number (121712525235).

Almost surely, 22003040414432 is an apocalyptic number.

It is an amenable number.

2003040414432 is an abundant number, since it is smaller than the sum of its proper divisors (3839160796848).

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

2003040414432 is a wasteful number, since it uses less digits than its factorization.

2003040414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318333832 (or 2318333818 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2003040414432 its reverse (2344140403002), we get a palindrome (4347180817434).

The spelling of 2003040414432 in words is "two trillion, three billion, forty million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2318333813 4636667626 6955001439 9273335252 13910002878 18546670504 20865004317 27820005756 37093341008 41730008634 55640011512 62595012951 74186682016 83460017268 111280023024 125190025902 166920034536 222560046048 250380051804 333840069072 500760103608 667680138144 1001520207216 2003040414432