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413554021465345 = 519294314923429117
BaseRepresentation
bin101111000001000000000110…
…0100010110111110100000001
32000020021101012210220010122121
41132002000030202313310001
5413201132113443342340
64023320032242204241
7153052202114314045
oct13602001442676401
92006241183803577
10413554021465345
1110a853303871312
123a471659053681
131499ac912bc737
14741a19b324025
1532c2750d5394a
hex178200c8b7d01

413554021465345 has 64 divisors (see below), whose sum is σ = 556675843680000. Its totient is φ = 293600936272896.

The previous prime is 413554021465337. The next prime is 413554021465369. The reversal of 413554021465345 is 543564120455314.

It is a cyclic number.

It is not a de Polignac number, because 413554021465345 - 23 = 413554021465337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413554021465292 and 413554021465301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5936727 + ... + 29365843.

It is an arithmetic number, because the mean of its divisors is an integer number (8698060057500).

Almost surely, 2413554021465345 is an apocalyptic number.

It is an amenable number.

413554021465345 is a deficient number, since it is larger than the sum of its proper divisors (143121822214655).

413554021465345 is a wasteful number, since it uses less digits than its factorization.

413554021465345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23429362.

The product of its (nonzero) digits is 17280000, while the sum is 52.

The spelling of 413554021465345 in words is "four hundred thirteen trillion, five hundred fifty-four billion, twenty-one million, four hundred sixty-five thousand, three hundred forty-five".

Divisors: 1 5 19 29 43 95 145 149 215 551 745 817 1247 2755 2831 4085 4321 6235 6407 14155 21605 23693 32035 82099 118465 121733 185803 410495 608665 929015 3530257 17651285 23429117 117145585 445153223 679444393 1007452031 2225766115 3397221965 3490938433 5037260155 12909443467 17454692165 19141588589 29216108899 64547217335 66327830227 95707942945 101237214557 146080544495 150110352619 331639151135 506186072785 555106069081 750551763095 1923507076583 2775530345405 2852096699761 4353200225951 9617535382915 14260483498805 21766001129755 82710804293069 413554021465345