Search a number
-
+
6306205330141 = 41919894118719
BaseRepresentation
bin101101111000100011100…
…1000001110101011011101
3211022212102021220000022121
41123301013020032223131
51311310102031031031
621225010345542541
71220415434606203
oct133610710165335
924285367800277
106306205330141
1120114a0563072
1285a2274a4a51
13369898959892
1417b31710d073
15ae08b2dd011
hex5bc4720eadd

6306205330141 has 16 divisors (see below), whose sum is σ = 6468113433600. Its totient is φ = 6144685142400.

The previous prime is 6306205330133. The next prime is 6306205330151. The reversal of 6306205330141 is 1410335026036.

It is a cyclic number.

It is not a de Polignac number, because 6306205330141 - 23 = 6306205330133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6306205330097 and 6306205330106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6306205330151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336878580 + ... + 336897298.

It is an arithmetic number, because the mean of its divisors is an integer number (404257089600).

Almost surely, 26306205330141 is an apocalyptic number.

It is an amenable number.

6306205330141 is a deficient number, since it is larger than the sum of its proper divisors (161908103459).

6306205330141 is a wasteful number, since it uses less digits than its factorization.

6306205330141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28620.

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 6306205330141 in words is "six trillion, three hundred six billion, two hundred five million, three hundred thirty thousand, one hundred forty-one".

Divisors: 1 41 919 8941 18719 37679 366581 767479 8216779 17202761 167366579 336887939 705313201 6862029739 153809886101 6306205330141