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144264411231 = 3194231598193
BaseRepresentation
bin1000011001011011010…
…1000011100001011111
3111210101000221102012220
42012112311003201133
54330423142124411
6150135115000423
713265002156053
oct2062665034137
9453330842186
10144264411231
1156200554446
1223b61a39113
13107b1200755
146da7b2dc63
153b452c5b06
hex2196d4385f

144264411231 has 16 divisors (see below), whose sum is σ = 202524560640. Its totient is φ = 91092677760.

The previous prime is 144264411227. The next prime is 144264411283. The reversal of 144264411231 is 132114462441.

144264411231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144264411231 - 22 = 144264411227 is a prime.

It is a super-2 number, since 2×1442644112312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144264411192 and 144264411201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144264415231) 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 15 ways as a sum of consecutive naturals, for example, 57930 + ... + 540263.

It is an arithmetic number, because the mean of its divisors is an integer number (12657785040).

Almost surely, 2144264411231 is an apocalyptic number.

144264411231 is a deficient number, since it is larger than the sum of its proper divisors (58260149409).

144264411231 is a wasteful number, since it uses less digits than its factorization.

144264411231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602446.

The product of its digits is 18432, while the sum is 33.

Adding to 144264411231 its reverse (132114462441), we get a palindrome (276378873672).

The spelling of 144264411231 in words is "one hundred forty-four billion, two hundred sixty-four million, four hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 19 57 4231 12693 80389 241167 598193 1794579 11365667 34097001 2530954583 7592863749 48088137077 144264411231