Search a number
-
+
130324242144 = 2535009271021
BaseRepresentation
bin111100101011111101…
…1100001111011100000
3110110101112001110020010
41321113323201323200
54113401001222034
6135511540444520
712262361531505
oct1712773417340
9413345043203
10130324242144
11502a7701048
12213113a9740
13c39c10c8a5
14644458d4ac
1535cb5603e9
hex1e57ee1ee0

130324242144 has 48 divisors (see below), whose sum is σ = 342170695440. Its totient is φ = 43432581120.

The previous prime is 130324242137. The next prime is 130324242149. The reversal of 130324242144 is 441242423031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130324242149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345354 + ... + 616374.

It is an arithmetic number, because the mean of its divisors is an integer number (7128556155).

Almost surely, 2130324242144 is an apocalyptic number.

It is an amenable number.

130324242144 is an abundant number, since it is smaller than the sum of its proper divisors (211846453296).

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

130324242144 is a wasteful number, since it uses less digits than its factorization.

130324242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276043 (or 276035 counting only the distinct ones).

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

Adding to 130324242144 its reverse (441242423031), we get a palindrome (571566665175).

The spelling of 130324242144 in words is "one hundred thirty billion, three hundred twenty-four million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5009 10018 15027 20036 30054 40072 60108 80144 120216 160288 240432 271021 480864 542042 813063 1084084 1626126 2168168 3252252 4336336 6504504 8672672 13009008 26018016 1357544189 2715088378 4072632567 5430176756 8145265134 10860353512 16290530268 21720707024 32581060536 43441414048 65162121072 130324242144