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420413114330415 = 32525033732526429
BaseRepresentation
bin101111110010111010000111…
…0010101101010110100101111
32001010120002201210020000002200
41133211310032111222310233
5420101022024232033130
64050051041330552543
7154360562614561563
oct13745641625526457
92033502653200080
10420413114330415
11111a5822298a628
123b19aa65438753
1315077a2c131c3b
1475b61636756a3
153390d9ad95760
hex17e5d0e56ad2f

420413114330415 has 24 divisors (see below), whose sum is σ = 729007202096160. Its totient is φ = 224130746948544.

The previous prime is 420413114330413. The next prime is 420413114330479. The reversal of 420413114330415 is 514033411314024.

420413114330415 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 1 + 311 + 4 + 330 + 4 + 1 + 5 = 666.

It is not a de Polignac number, because 420413114330415 - 21 = 420413114330413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420413114330415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420413114330411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1866150580 + ... + 1866375849.

It is an arithmetic number, because the mean of its divisors is an integer number (30375300087340).

Almost surely, 2420413114330415 is an apocalyptic number.

420413114330415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420413114330415 is a deficient number, since it is larger than the sum of its proper divisors (308594087765745).

420413114330415 is a wasteful number, since it uses less digits than its factorization.

420413114330415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732528943 (or 3732528940 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 420413114330415 its reverse (514033411314024), we get a palindrome (934446525644439).

The spelling of 420413114330415 in words is "four hundred twenty trillion, four hundred thirteen billion, one hundred fourteen million, three hundred thirty thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 45 2503 7509 12515 22527 37545 112635 3732526429 11197579287 18662632145 33592737861 55987896435 167963689305 9342513651787 28027540955361 46712568258935 84082622866083 140137704776805 420413114330415