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1409054579829 = 321312043201537
BaseRepresentation
bin10100100000010010001…
…100101001110001110101
311222201000102210002221100
4110200102030221301311
5141041220433023304
62555151041440313
7203541454211661
oct24402214516165
94881012702840
101409054579829
114a3638638116
121a9101640099
13a2b47787010
144c2acd8b8a1
15269bd01d439
hex14812329c75

1409054579829 has 12 divisors (see below), whose sum is σ = 2191862679916. Its totient is φ = 867110510592.

The previous prime is 1409054579747. The next prime is 1409054579851. The reversal of 1409054579829 is 9289754509041.

1409054579829 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 0 + 54 + 579 + 8 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 789210140625 + 619844439204 = 888375^2 + 787302^2 .

It is not a de Polignac number, because 1409054579829 - 225 = 1409021025397 is a prime.

It is a super-3 number, since 3×14090545798293 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409054579899) 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 11 ways as a sum of consecutive naturals, for example, 6021600652 + ... + 6021600885.

Almost surely, 21409054579829 is an apocalyptic number.

It is an amenable number.

1409054579829 is a deficient number, since it is larger than the sum of its proper divisors (782808100087).

1409054579829 is a wasteful number, since it uses less digits than its factorization.

1409054579829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12043201556 (or 12043201553 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 1409054579829 in words is "one trillion, four hundred nine billion, fifty-four million, five hundred seventy-nine thousand, eight hundred twenty-nine".

Divisors: 1 3 9 13 39 117 12043201537 36129604611 108388813833 156561619981 469684859943 1409054579829