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13214004345 = 3252331260277
BaseRepresentation
bin11000100111001110…
…11011010001111001
31021002220110222020100
430103213123101321
5204030241114340
610023113550013
7645312120003
oct142347332171
937086428210
1013214004345
115670a63053
122689415309
1313278203a9
148d4d55373
15525125830
hex3139db479

13214004345 has 24 divisors (see below), whose sum is σ = 23002594056. Its totient is φ = 7017216768.

The previous prime is 13214004301. The next prime is 13214004359. The reversal of 13214004345 is 54340041231.

It is a happy number.

13214004345 is a `hidden beast` number, since 13 + 214 + 0 + 0 + 434 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116575209 + 13097429136 = 10797^2 + 114444^2 .

It is not a de Polignac number, because 13214004345 - 219 = 13213480057 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 619654 + ... + 640623.

It is an arithmetic number, because the mean of its divisors is an integer number (958441419).

Almost surely, 213214004345 is an apocalyptic number.

13214004345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13214004345 is a deficient number, since it is larger than the sum of its proper divisors (9788589711).

13214004345 is a wasteful number, since it uses less digits than its factorization.

13214004345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260521 (or 1260518 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13214004345 its reverse (54340041231), we get a palindrome (67554045576).

The spelling of 13214004345 in words is "thirteen billion, two hundred fourteen million, four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 233 699 1165 2097 3495 10485 1260277 3780831 6301385 11342493 18904155 56712465 293644541 880933623 1468222705 2642800869 4404668115 13214004345