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413012303540045 = 51122413328287613
BaseRepresentation
bin101110111101000011110101…
…1101000111110111101001101
32000011100120221120001020102122
41131322013223220332331031
5413113243144201240140
64022223122151102325
7152665103621033126
oct13572075350767515
92004316846036378
10413012303540045
1110a66459715a100
123a3a46749719a5
131495bb7c207b81
1473dbc8b70304d
1532b35e79e3ab5
hex177a1eba3ef4d

413012303540045 has 24 divisors (see below), whose sum is σ = 544789234468248. Its totient is φ = 300360127224960.

The previous prime is 413012303540033. The next prime is 413012303540069. The reversal of 413012303540045 is 540045303210314.

It can be written as a sum of positive squares in 4 ways, for example, as 7943305281769 + 405068998258276 = 2818387^2 + 20126326^2 .

It is not a de Polignac number, because 413012303540045 - 24 = 413012303540029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413012303539987 and 413012303540014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456659 + ... + 28744271.

It is an arithmetic number, because the mean of its divisors is an integer number (22699551436177).

Almost surely, 2413012303540045 is an apocalyptic number.

It is an amenable number.

413012303540045 is a deficient number, since it is larger than the sum of its proper divisors (131776930928203).

413012303540045 is a wasteful number, since it uses less digits than its factorization.

413012303540045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28311773 (or 28311762 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 413012303540045 its reverse (540045303210314), we get a palindrome (953057606750359).

The spelling of 413012303540045 in words is "four hundred thirteen trillion, twelve billion, three hundred three million, five hundred forty thousand, forty-five".

Divisors: 1 5 11 55 121 605 24133 120665 265463 1327315 2920093 14600465 28287613 141438065 311163743 1555818715 3422801173 17114005865 682664964529 3413324822645 7509314609819 37546573049095 82602460708009 413012303540045