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1413413505 = 325737121271
BaseRepresentation
bin101010000111110…
…1111101010000001
310122111120211211100
41110033233222001
510343313213010
6352130205013
750011550040
oct12417575201
93574524740
101413413505
11665920539
12335423769
13196a96c6a
14d5a04557
15841442c0
hex543efa81

1413413505 has 48 divisors (see below), whose sum is σ = 2875601664. Its totient is φ = 628663680.

The previous prime is 1413413501. The next prime is 1413413509. The reversal of 1413413505 is 5053143141.

It is a happy number.

1413413505 is a `hidden beast` number, since 14 + 134 + 13 + 505 = 666.

1413413505 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1413413501) and next prime (1413413509).

It is not a de Polignac number, because 1413413505 - 22 = 1413413501 is a prime.

It is a super-2 number, since 2×14134135052 = 3995475472232770050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1413413501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48981 + ... + 72290.

It is an arithmetic number, because the mean of its divisors is an integer number (59908368).

Almost surely, 21413413505 is an apocalyptic number.

1413413505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1413413505 is an abundant number, since it is smaller than the sum of its proper divisors (1462188159).

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

1413413505 is a wasteful number, since it uses less digits than its factorization.

1413413505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121326 (or 121323 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1413413505 is about 37595.3920713696. The cubic root of 1413413505 is about 1122.2503397287.

Adding to 1413413505 its reverse (5053143141), we get a palindrome (6466556646).

The spelling of 1413413505 in words is "one billion, four hundred thirteen million, four hundred thirteen thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 105 111 185 259 315 333 555 777 1295 1665 2331 3885 11655 121271 363813 606355 848897 1091439 1819065 2546691 4244485 4487027 5457195 7640073 12733455 13461081 22435135 31409189 38200365 40383243 67305405 94227567 157045945 201916215 282682701 471137835 1413413505