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144131319 = 36197711
BaseRepresentation
bin10001001011101…
…00010011110111
3101001012122000000
420211310103313
5243344200234
622145122343
73400044633
oct1045642367
9331178000
10144131319
11743a3aa2
12403293b3
1323b25907
14151dbdc3
15c9c0899
hex89744f7

144131319 has 14 divisors (see below), whose sum is σ = 216099216. Its totient is φ = 96087060.

The previous prime is 144131311. The next prime is 144131347. The reversal of 144131319 is 913131441.

It is not a de Polignac number, because 144131319 - 23 = 144131311 is a prime.

It is a super-2 number, since 2×1441313192 = 41547674233359522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 144131292 and 144131301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144131311) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 98127 + ... + 99584.

Almost surely, 2144131319 is an apocalyptic number.

144131319 is a deficient number, since it is larger than the sum of its proper divisors (71967897).

144131319 is an frugal number, since it uses more digits than its factorization.

144131319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197729 (or 197714 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 144131319 is about 12005.4703781235. The cubic root of 144131319 is about 524.3075605903.

The spelling of 144131319 in words is "one hundred forty-four million, one hundred thirty-one thousand, three hundred nineteen".

Divisors: 1 3 9 27 81 243 729 197711 593133 1779399 5338197 16014591 48043773 144131319