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412400523123243 = 34193742289617
BaseRepresentation
bin101110111000100110111101…
…0101011111001101000101011
32000002012002211112021000010000
41131301031322223321220223
5413023232232404420433
64021034103533354043
7152602645261220454
oct13561157253715053
92002162745230100
10412400523123243
1110a449097053056
123a305b98938923
1314916282a68945
1473ba412a8012b
1532a273d82c113
hex177137aaf9a2b

412400523123243 has 40 divisors (see below), whose sum is σ = 650275396952720. Its totient is φ = 260463487937472.

The previous prime is 412400523123233. The next prime is 412400523123247. The reversal of 412400523123243 is 342321325004214.

412400523123243 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 0 + 0 + 523 + 123 + 2 + 4 + 3 = 666.

It is not a de Polignac number, because 412400523123243 - 24 = 412400523123227 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 412400523123198 and 412400523123207.

It is not an unprimeable number, because it can be changed into a prime (412400523123247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 370589230 + ... + 371700387.

It is an arithmetic number, because the mean of its divisors is an integer number (16256884923818).

Almost surely, 2412400523123243 is an apocalyptic number.

412400523123243 is a deficient number, since it is larger than the sum of its proper divisors (237874873829477).

412400523123243 is an frugal number, since it uses more digits than its factorization.

412400523123243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742289686 (or 742289639 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 412400523123243 its reverse (342321325004214), we get a palindrome (754721848127457).

The spelling of 412400523123243 in words is "four hundred twelve trillion, four hundred billion, five hundred twenty-three million, one hundred twenty-three thousand, two hundred forty-three".

Divisors: 1 3 9 19 27 57 81 171 361 513 1083 1539 3249 6859 9747 20577 29241 61731 185193 555579 742289617 2226868851 6680606553 14103502723 20041819659 42310508169 60125458977 126931524507 267966551737 380794573521 803899655211 1142383720563 2411698965633 5091364483003 7235096896899 15274093449009 21705290690697 45822280347027 137466841041081 412400523123243