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505045304142431 = 138911327971381103
BaseRepresentation
bin111001011010101100000010…
…1111100101110101001011111
32110020012212012121102122212212
41302311120011330232221133
51012144130240330024211
64550050335411151035
7211244214310526663
oct16265300574565137
92406185177378785
10505045304142431
11136a17568759058
12487891b65a547b
13188a674c687510
148ca0474a028a3
153d5c5c25d938b
hex1cb5605f2ea5f

505045304142431 has 32 divisors (see below), whose sum is σ = 555072216410880. Its totient is φ = 456714565300224.

The previous prime is 505045304142427. The next prime is 505045304142479. The reversal of 505045304142431 is 134241403540505.

It is not a de Polignac number, because 505045304142431 - 22 = 505045304142427 is a prime.

It is a super-3 number, since 3×5050453041424313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505045304162431) 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, 364992026 + ... + 366373128.

It is an arithmetic number, because the mean of its divisors is an integer number (17346006762840).

Almost surely, 2505045304142431 is an apocalyptic number.

505045304142431 is a deficient number, since it is larger than the sum of its proper divisors (50026912268449).

505045304142431 is a wasteful number, since it uses less digits than its factorization.

505045304142431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384115.

The product of its (nonzero) digits is 576000, while the sum is 41.

Adding to 505045304142431 its reverse (134241403540505), we get a palindrome (639286707682936).

The spelling of 505045304142431 in words is "five hundred five trillion, forty-five billion, three hundred four million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 13 89 113 1157 1469 2797 10057 36361 130741 248933 316061 1381103 3236129 4108793 17954339 28129429 122918167 156064639 365682577 1597936171 2028840307 3862945091 13889752871 50218286183 180566787323 343802113099 436512795283 4469427470287 5674666338679 38849638780187 505045304142431