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13410334809 = 3642892
BaseRepresentation
bin11000111110101000…
…10111100001011001
31021121120220121000000
430133110113201121
5204431021203214
610054410003213
7653214652014
oct143724274131
937546817000
1013410334809
11576186a033
122723116509
1313593c1371
1491306037b
155374a7809
hex31f517859

13410334809 has 21 divisors (see below), whose sum is σ = 20110993423. Its totient is φ = 8938138752.

The previous prime is 13410334789. The next prime is 13410334811. The reversal of 13410334809 is 90843301431.

The square root of 13410334809 is 115803.

It is a perfect power (a square), and thus also a powerful number.

13410334809 is a `hidden beast` number, since 134 + 10 + 33 + 480 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12621848409 + 788486400 = 112347^2 + 28080^2 .

It is not a de Polignac number, because 13410334809 - 227 = 13276117081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13410334109) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3124537 + ... + 3128825.

Almost surely, 213410334809 is an apocalyptic number.

13410334809 is the 115803-rd square number.

13410334809 is the 57902-nd centered octagonal number.

It is an amenable number.

13410334809 is a deficient number, since it is larger than the sum of its proper divisors (6700658614).

13410334809 is an frugal number, since it uses more digits than its factorization.

13410334809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8596 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 13410334809 by its sum of digits (36), we get a square (482772053124 = 6948182).

The spelling of 13410334809 in words is "thirteen billion, four hundred ten million, three hundred thirty-four thousand, eight hundred nine".

Divisors: 1 3 9 27 81 243 729 4289 12867 38601 115803 347409 1042227 3126681 18395521 55186563 165559689 496679067 1490037201 4470111603 13410334809