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430143157609 = 11210925472
BaseRepresentation
bin1100100001001101000…
…01111011010101101001
31112010021102020102200121
412100212201323111221
524021413122020414
6525334404403241
743035230340664
oct6204641732551
91463242212617
10430143157609
11156471664900
126b4460a6521
1331740577a89
1416b676346db
15b2c7d9e724
hex642687b569

430143157609 has 27 divisors (see below), whose sum is σ = 478053362871. Its totient is φ = 386743397040.

The previous prime is 430143157597. The next prime is 430143157627. The reversal of 430143157609 is 906751341034.

The square root of 430143157609 is 655853.

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

It can be written as a sum of positive squares in only one way, i.e., 299807717209 + 130335440400 = 547547^2 + 361020^2 .

It is not a de Polignac number, because 430143157609 - 227 = 430008939881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (430143137609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 786367474 + ... + 786368020.

Almost surely, 2430143157609 is an apocalyptic number.

430143157609 is the 655853-rd square number.

430143157609 is the 327927-th centered octagonal number.

It is an amenable number.

430143157609 is a deficient number, since it is larger than the sum of its proper divisors (47910205262).

430143157609 is an frugal number, since it uses more digits than its factorization.

430143157609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 430143157609 in words is "four hundred thirty billion, one hundred forty-three million, one hundred fifty-seven thousand, six hundred nine".

Divisors: 1 11 109 121 547 1199 6017 11881 13189 59623 66187 130691 299209 655853 1437601 3291299 6498907 7214383 32613781 36204289 71487977 358751591 786367747 3554902129 3946267501 39103923419 430143157609