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504435045540241 = 71181293997134371
BaseRepresentation
bin111001010110001111110111…
…1101100111010000110010001
32110011001112000122012121202101
41302230133233230322012101
51012104130433124241431
64544502132155320401
7211152141450146524
oct16254375754720621
92404045018177671
10504435045540241
11136801779681932
12486aaa84150101
13188610365a78ca
148c7cb02120bbb
153d4b7a6d2a961
hex1cac7efb3a191

504435045540241 has 32 divisors (see below), whose sum is σ = 516642985587456. Its totient is φ = 492396607584000.

The previous prime is 504435045540233. The next prime is 504435045540247. The reversal of 504435045540241 is 142045540534405.

It is a cyclic number.

It is not a de Polignac number, because 504435045540241 - 23 = 504435045540233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 504435045540191 and 504435045540200.

It is not an unprimeable number, because it can be changed into a prime (504435045540247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3753979786 + ... + 3754114156.

It is an arithmetic number, because the mean of its divisors is an integer number (16145093299608).

Almost surely, 2504435045540241 is an apocalyptic number.

It is an amenable number.

504435045540241 is a deficient number, since it is larger than the sum of its proper divisors (12207940047215).

504435045540241 is a wasteful number, since it uses less digits than its factorization.

504435045540241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135913.

The product of its (nonzero) digits is 3840000, while the sum is 46.

The spelling of 504435045540241 in words is "five hundred four trillion, four hundred thirty-five billion, forty-five million, five hundred forty thousand, two hundred forty-one".

Divisors: 1 71 181 293 997 12851 20803 53033 70787 134371 180457 292121 3765343 9540341 12812447 20740591 24321151 39370703 52873901 133967887 1726801721 2795319913 3754046971 7126097243 9511719977 24248187547 39252590891 505952904253 1721621315837 2786933953261 7104718951271 504435045540241