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230137994529 = 3415123532
BaseRepresentation
bin1101011001010101001…
…0110001110100100001
3211000000201020102210000
43112111102301310201
512232310311311104
6253420211530213
722425014451162
oct3262522616441
9730021212700
10230137994529
11896679975a3
12387288b9969
131891816b831
14b1d29ab769
155ebe25a639
hex35954b1d21

230137994529 has 45 divisors (see below), whose sum is σ = 347061364419. Its totient is φ = 151977513600.

The previous prime is 230137994521. The next prime is 230137994539. The reversal of 230137994529 is 925499731032.

The square root of 230137994529 is 479727.

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

230137994529 is a `hidden beast` number, since 2 + 30 + 13 + 79 + 9 + 4 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93498350625 + 136639643904 = 305775^2 + 369648^2 .

It is not a de Polignac number, because 230137994529 - 23 = 230137994521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230137994521) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 651948817 + ... + 651949169.

Almost surely, 2230137994529 is an apocalyptic number.

230137994529 is the 479727-th square number.

230137994529 is the 239864-th centered octagonal number.

It is an amenable number.

230137994529 is a deficient number, since it is larger than the sum of its proper divisors (116923369890).

230137994529 is an frugal number, since it uses more digits than its factorization.

230137994529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 230137994529 in words is "two hundred thirty billion, one hundred thirty-seven million, nine hundred ninety-four thousand, five hundred twenty-nine".

Divisors: 1 3 9 27 81 151 353 453 1059 1359 3177 4077 9531 12231 22801 28593 53303 68403 124609 159909 205209 373827 479727 615627 1121481 1439181 1846881 3364443 4317543 8048753 10093329 18815959 24146259 56447877 72438777 169343631 217316331 508030893 651948993 1524092679 2841209809 8523629427 25570888281 76712664843 230137994529