Search a number
-
+
144641341624 = 23132116965699
BaseRepresentation
bin1000011010110101001…
…0111011100010111000
3111211100022012110111211
42012231102323202320
54332211140412444
6150240341532504
713310230055353
oct2065522734270
9454308173454
10144641341624
11563842a286a
1224048114134
13108413256a0
147001c0b29a
153b6842dc34
hex21ad4bb8b8

144641341624 has 32 divisors (see below), whose sum is σ = 292082490000. Its totient is φ = 66753372672.

The previous prime is 144641341597. The next prime is 144641341631. The reversal of 144641341624 is 426143146441.

144641341624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1446413416242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2168727 + ... + 2234425.

Almost surely, 2144641341624 is an apocalyptic number.

It is an amenable number.

144641341624 is an abundant number, since it is smaller than the sum of its proper divisors (147441148376).

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

144641341624 is a wasteful number, since it uses less digits than its factorization.

144641341624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86887 (or 86883 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The spelling of 144641341624 in words is "one hundred forty-four billion, six hundred forty-one million, three hundred forty-one thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 21169 42338 65699 84676 131398 169352 262796 275197 525592 550394 854087 1100788 1708174 2201576 3416348 6832696 1390782131 2781564262 5563128524 11126257048 18080167703 36160335406 72320670812 144641341624