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13430303406 = 23213193020761
BaseRepresentation
bin11001000001000001…
…00010101010101110
31021122222111002202200
430200200202222232
5210001124202111
610100402002330
7653546460342
oct144040425256
937588432680
1013430303406
115772068803
1227299463a6
1313605933c0
1491597b622
155390ee256
hex320822aae

13430303406 has 48 divisors (see below), whose sum is σ = 32986721040. Its totient is φ = 3914904960.

The previous prime is 13430303347. The next prime is 13430303429. The reversal of 13430303406 is 60430303431.

13430303406 is a `hidden beast` number, since 13 + 4 + 303 + 0 + 340 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13430303406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505935 + ... + 1514826.

It is an arithmetic number, because the mean of its divisors is an integer number (687223355).

Almost surely, 213430303406 is an apocalyptic number.

13430303406 is an abundant number, since it is smaller than the sum of its proper divisors (19556417634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13430303406 is a wasteful number, since it uses less digits than its factorization.

13430303406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020801 (or 3020798 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13430303406 its reverse (60430303431), we get a palindrome (73860606837).

The spelling of 13430303406 in words is "thirteen billion, four hundred thirty million, three hundred three thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 3020761 6041522 9062283 18124566 27186849 39269893 54373698 57394459 78539786 114788918 117809679 172183377 235619358 344366754 353429037 516550131 706858074 746127967 1033100262 1492255934 2238383901 4476767802 6715151703 13430303406