Search a number
-
+
2003144413002 = 236714699338999
BaseRepresentation
bin11101001001100100101…
…101100000111101001010
321002111110120121120200220
4131021210231200331022
5230304414432204002
64132122024410510
7264502533400635
oct35114455407512
97074416546626
102003144413002
1170258a887917
12284281016a36
13116b84b3c795
146cd4a328c1c
153718e09a7bc
hex1d264b60f4a

2003144413002 has 32 divisors (see below), whose sum is σ = 4066372800000. Its totient is φ = 657702223728.

The previous prime is 2003144412977. The next prime is 2003144413003.

2003144413002 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×20031444130023 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2003144413003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5739499 + ... + 6078497.

It is an arithmetic number, because the mean of its divisors is an integer number (127074150000).

Almost surely, 22003144413002 is an apocalyptic number.

2003144413002 is an abundant number, since it is smaller than the sum of its proper divisors (2063228386998).

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

2003144413002 is a wasteful number, since it uses less digits than its factorization.

2003144413002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353770.

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 2003144413002 in words is "two trillion, three billion, one hundred forty-four million, four hundred thirteen thousand, two".

Divisors: 1 2 3 6 67 134 201 402 14699 29398 44097 88194 338999 677998 984833 1016997 1969666 2033994 2954499 5908998 22712933 45425866 68138799 136277598 4982946301 9965892602 14948838903 29897677806 333857402167 667714804334 1001572206501 2003144413002