Search a number
-
+
144202141404 = 22331335205013
BaseRepresentation
bin1000011001001100011…
…1100000111011011100
3111210012200202210002000
42012103013200323130
54330311222011104
6150125012202300
713263314656266
oct2062307407334
9453180683060
10144202141404
1156179393182
1223b45009390
13107a133a5b9
146d9d760b36
153b3eac5639
hex21931e0edc

144202141404 has 24 divisors (see below), whose sum is σ = 373857403920. Its totient is φ = 48067380432.

The previous prime is 144202141403. The next prime is 144202141417. The reversal of 144202141404 is 404141202441.

It is a happy number.

144202141404 is a `hidden beast` number, since 1 + 4 + 42 + 0 + 214 + 1 + 404 = 666.

It is a super-2 number, since 2×1442021414042 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144202141403) 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, 667602399 + ... + 667602614.

It is an arithmetic number, because the mean of its divisors is an integer number (15577391830).

Almost surely, 2144202141404 is an apocalyptic number.

It is an amenable number.

144202141404 is an abundant number, since it is smaller than the sum of its proper divisors (229655262516).

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

144202141404 is a wasteful number, since it uses less digits than its factorization.

144202141404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335205026 (or 1335205018 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 144202141404 its reverse (404141202441), we get a palindrome (548343343845).

The spelling of 144202141404 in words is "one hundred forty-four billion, two hundred two million, one hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1335205013 2670410026 4005615039 5340820052 8011230078 12016845117 16022460156 24033690234 36050535351 48067380468 72101070702 144202141404