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2003144089104 = 243245757304013
BaseRepresentation
bin11101001001100100101…
…100010001111000010000
321002111110120000010101200
4131021210230101320100
5230304414341322404
64132122013431200
7264502530551424
oct35114454217020
97074416003350
102003144089104
1170258a686534
12284280a9b500
13116b84a58222
146cd4a282b84
153718e034839
hex1d264b11e10

2003144089104 has 60 divisors (see below), whose sum is σ = 5606162262636. Its totient is φ = 667697907456.

The previous prime is 2003144089007. The next prime is 2003144089109. The reversal of 2003144089104 is 4019804413002.

It is a happy number.

2003144089104 is a `hidden beast` number, since 2 + 0 + 0 + 31 + 440 + 89 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 330395040000 + 1672749049104 = 574800^2 + 1293348^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2003144089109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6437002 + ... + 6741014.

Almost surely, 22003144089104 is an apocalyptic number.

2003144089104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2003144089104 is an abundant number, since it is smaller than the sum of its proper divisors (3603018173532).

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

2003144089104 is a wasteful number, since it uses less digits than its factorization.

2003144089104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349784 (or 349775 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2003144089104 in words is "two trillion, three billion, one hundred forty-four million, eighty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 45757 91514 137271 183028 274542 304013 366056 411813 549084 608026 732112 823626 912039 1098168 1216052 1647252 1824078 2196336 2432104 2736117 3294504 3648156 4864208 5472234 6589008 7296312 10944468 14592624 21888936 43777872 13910722841 27821445682 41732168523 55642891364 83464337046 111285782728 125196505569 166928674092 222571565456 250393011138 333857348184 500786022276 667714696368 1001572044552 2003144089104