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424023671241 = 322170572
BaseRepresentation
bin1100010101110011100…
…01111100000111001001
31111112110221100022112100
412022321301330013021
523421400024434431
6522443242504013
742430462510602
oct6127161740711
91445427308470
10424023671241
11153911343155
126a218805009
1330ca6804b21
1416746a00da9
15b06aa134e6
hex62b9c7c1c9

424023671241 has 9 divisors (see below), whose sum is σ = 612481457991. Its totient is φ = 282681145152.

The previous prime is 424023671219. The next prime is 424023671261. The reversal of 424023671241 is 142176320424.

The square root of 424023671241 is 651171.

It is a perfect power (a square), and thus also a powerful number.

424023671241 is a `hidden beast` number, since 4 + 2 + 402 + 3 + 6 + 7 + 1 + 241 = 666.

424023671241 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 255181574025 + 168842097216 = 505155^2 + 410904^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 424023671241 - 221 = 424021574089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 424023671196 and 424023671205.

It is not an unprimeable number, because it can be changed into a prime (424023671261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1844985 + ... + 2062041.

Almost surely, 2424023671241 is an apocalyptic number.

424023671241 is the 651171-st square number.

424023671241 is the 325586-th centered octagonal number.

It is an amenable number.

424023671241 is a deficient number, since it is larger than the sum of its proper divisors (188457786750).

424023671241 is an frugal number, since it uses more digits than its factorization.

424023671241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434120 (or 217060 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Multiplying 424023671241 by its sum of digits (36), we get a square (15264852164676 = 39070262).

Adding to 424023671241 its reverse (142176320424), we get a palindrome (566199991665).

The spelling of 424023671241 in words is "four hundred twenty-four billion, twenty-three million, six hundred seventy-one thousand, two hundred forty-one".

Divisors: 1 3 9 217057 651171 1953513 47113741249 141341223747 424023671241