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1413147321 = 321753229761
BaseRepresentation
bin101010000111010…
…1110101010111001
310122111002022200200
41110032232222321
510343231203241
6352120352413
750006361015
oct12416565271
93574068620
101413147321
11665759553
12335315709
13196a02a61
14d5975545
15840e04b6
hex543aeab9

1413147321 has 48 divisors (see below), whose sum is σ = 2214585360. Its totient is φ = 865013760.

The previous prime is 1413147299. The next prime is 1413147349. The reversal of 1413147321 is 1237413141.

1413147321 is a `hidden beast` number, since 141 + 31 + 473 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33767721 + 1379379600 = 5811^2 + 37140^2 .

It is not a de Polignac number, because 1413147321 - 27 = 1413147193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1413147361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1856581 + ... + 1857341.

It is an arithmetic number, because the mean of its divisors is an integer number (46137195).

Almost surely, 21413147321 is an apocalyptic number.

It is an amenable number.

1413147321 is a deficient number, since it is larger than the sum of its proper divisors (801438039).

1413147321 is a wasteful number, since it uses less digits than its factorization.

1413147321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1063 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 1413147321 is about 37591.8517899824. The cubic root of 1413147321 is about 1122.1798852727.

The spelling of 1413147321 in words is "one billion, four hundred thirteen million, one hundred forty-seven thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 53 153 159 229 477 687 761 901 2061 2283 2703 3893 6849 8109 11679 12137 12937 35037 36411 38811 40333 109233 116433 120999 174269 206329 362997 522807 618987 685661 1568421 1856961 2056983 2962573 6170949 8887719 9236257 26663157 27708771 83126313 157016369 471049107 1413147321