Search a number
-
+
144321400242 = 2341150377447
BaseRepresentation
bin1000011001101000111…
…0011100110110110010
3111210112000011202110000
42012122032130312302
54331032234301432
6150144512250430
713266263442555
oct2063216346662
9453460152400
10144321400242
115622a7390a8
1223b78b40a16
13107bcc65066
146db152669c
153b4a2d157c
hex219a39cdb2

144321400242 has 40 divisors (see below), whose sum is σ = 323419130496. Its totient is φ = 48102330168.

The previous prime is 144321400177. The next prime is 144321400243. The reversal of 144321400242 is 242004123441.

144321400242 is a `hidden beast` number, since 1 + 443 + 214 + 0 + 0 + 2 + 4 + 2 = 666.

144321400242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (144321400243) 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 19 ways as a sum of consecutive naturals, for example, 1824763 + ... + 1902209.

Almost surely, 2144321400242 is an apocalyptic number.

144321400242 is an abundant number, since it is smaller than the sum of its proper divisors (179097730254).

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

144321400242 is a wasteful number, since it uses less digits than its factorization.

144321400242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88964 (or 88955 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 144321400242 its reverse (242004123441), we get a palindrome (386325523683).

The spelling of 144321400242 in words is "one hundred forty-four billion, three hundred twenty-one million, four hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 11503 23006 34509 69018 77447 103527 154894 207054 232341 310581 464682 621162 697023 931743 1394046 1863486 2091069 4182138 6273207 12546414 890872841 1781745682 2672618523 5345237046 8017855569 16035711138 24053566707 48107133414 72160700121 144321400242