Search a number
-
+
144133043444 = 22134167604617
BaseRepresentation
bin1000011000111011111…
…1111011010011110100
3111210000212202020111022
42012032333323103310
54330141024342234
6150114103200312
713261515440435
oct2061677732364
9453025666438
10144133043444
1156143388925
1223b25a46098
131078cc26530
146d944d548c
153b389c6e2e
hex218effb4f4

144133043444 has 24 divisors (see below), whose sum is σ = 278260607688. Its totient is φ = 64900431360.

The previous prime is 144133043441. The next prime is 144133043471. The reversal of 144133043444 is 444340331441.

144133043444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27772900 + 144105270544 = 5270^2 + 379612^2 .

It is a super-2 number, since 2×1441330434442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144133043441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33800177 + ... + 33804440.

It is an arithmetic number, because the mean of its divisors is an integer number (11594191987).

Almost surely, 2144133043444 is an apocalyptic number.

It is an amenable number.

144133043444 is a deficient number, since it is larger than the sum of its proper divisors (134127564244).

144133043444 is a wasteful number, since it uses less digits than its factorization.

144133043444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67604675 (or 67604673 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 144133043444 its reverse (444340331441), we get a palindrome (588473374885).

The spelling of 144133043444 in words is "one hundred forty-four billion, one hundred thirty-three million, forty-three thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 41 52 82 164 533 1066 2132 67604617 135209234 270418468 878860021 1757720042 2771789297 3515440084 5543578594 11087157188 36033260861 72066521722 144133043444