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43834540689 = 344325412
BaseRepresentation
bin101000110100101111…
…100000001010010001
311012010220102101110000
4220310233200022101
51204233120300224
632045354200213
73111155306502
oct506457401221
9135126371400
1043834540689
1117654501235
1285b4123069
134197621654
14219b970ba9
1512184770c9
hexa34be0291

43834540689 has 45 divisors (see below), whose sum is σ = 67163607819. Its totient is φ = 28490661360.

The previous prime is 43834540667. The next prime is 43834540693. The reversal of 43834540689 is 98604543834.

The square root of 43834540689 is 209367.

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

43834540689 is a `hidden beast` number, since 4 + 3 + 8 + 34 + 540 + 68 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17415289089 + 26419251600 = 131967^2 + 162540^2 .

It is a de Polignac number, because none of the positive numbers 2k-43834540689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (43834540619) 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, 81024759 + ... + 81025299.

Almost surely, 243834540689 is an apocalyptic number.

43834540689 is the 209367-th square number.

43834540689 is the 104684-th centered octagonal number.

It is an amenable number.

43834540689 is a deficient number, since it is larger than the sum of its proper divisors (23329067130).

43834540689 is an frugal number, since it uses more digits than its factorization.

43834540689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 43834540689 in words is "forty-three billion, eight hundred thirty-four million, five hundred forty thousand, six hundred eighty-nine".

Divisors: 1 3 9 27 43 81 129 387 541 1161 1623 1849 3483 4869 5547 14607 16641 23263 43821 49923 69789 149769 209367 292681 628101 878043 1000309 1884303 2634129 3000927 7902387 9002781 12585283 23707161 27008343 37755849 81025029 113267547 339802641 541167169 1019407923 1623501507 4870504521 14611513563 43834540689