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431640123364051 = 71743161313728943
BaseRepresentation
bin110001000100100110000110…
…0001110010101001011010011
32002121022101121100102102202121
41202021030030032111023103
5423033442433040122201
64130004422445555111
7156626653433031430
oct14211141416251323
92077271540372677
10431640123364051
11115596603893438
12404b28b7b75a97
13156b0648399764
1478836ca002b87
1534d7e3bc409a1
hex188930c3952d3

431640123364051 has 32 divisors (see below), whose sum is σ = 524386791088128. Its totient is φ = 346839204165120.

The previous prime is 431640123364027. The next prime is 431640123364057. The reversal of 431640123364051 is 150463321046134.

It is not a de Polignac number, because 431640123364051 - 227 = 431639989146323 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 431640123363989 and 431640123364007.

It is not an unprimeable number, because it can be changed into a prime (431640123364057) 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, 24575686 + ... + 38304628.

It is an arithmetic number, because the mean of its divisors is an integer number (16387087221504).

Almost surely, 2431640123364051 is an apocalyptic number.

431640123364051 is a deficient number, since it is larger than the sum of its proper divisors (92746667724077).

431640123364051 is a wasteful number, since it uses less digits than its factorization.

431640123364051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13730011.

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 431640123364051 in words is "four hundred thirty-one trillion, six hundred forty billion, one hundred twenty-three million, three hundred sixty-four thousand, fifty-one".

Divisors: 1 7 17 119 431 613 3017 4291 7327 10421 51289 72947 264203 1849421 4491451 13728943 31440157 96102601 233392031 1633744217 5917174433 8415842059 41420221031 58910894413 100591965361 143069315003 704143757527 1001485205021 3627227927429 25390595492003 61662874766293 431640123364051