Search a number
-
+
1003144403424 = 25318715584939
BaseRepresentation
bin11101001100100000001…
…00001101100111100000
310112220021212011200002010
432212100010031213200
5112413414431402144
62044501013552520
7132321565511652
oct16462004154740
93486255150063
101003144403424
11357481955809
121424bb045740
137379986c797
14367a3cbc6d2
151b1628315b9
hexe99010d9e0

1003144403424 has 48 divisors (see below), whose sum is σ = 2634661935360. Its totient is φ = 334202689920.

The previous prime is 1003144403381. The next prime is 1003144403431. The reversal of 1003144403424 is 4243044413001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1003144403391 and 1003144403400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2612854 + ... + 2972085.

It is an arithmetic number, because the mean of its divisors is an integer number (54888790320).

Almost surely, 21003144403424 is an apocalyptic number.

It is an amenable number.

1003144403424 is an abundant number, since it is smaller than the sum of its proper divisors (1631517531936).

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

1003144403424 is a wasteful number, since it uses less digits than its factorization.

1003144403424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586823 (or 5586815 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1003144403424 its reverse (4243044413001), we get a palindrome (5246188816425).

The spelling of 1003144403424 in words is "one trillion, three billion, one hundred forty-four million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1871 3742 5613 7484 11226 14968 22452 29936 44904 59872 89808 179616 5584939 11169878 16754817 22339756 33509634 44679512 67019268 89359024 134038536 178718048 268077072 536154144 10449420869 20898841738 31348262607 41797683476 62696525214 83595366952 125393050428 167190733904 250786100856 334381467808 501572201712 1003144403424