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43144690369 = 1122328212
BaseRepresentation
bin101000001011100111…
…111011101011000001
311010100211100100201011
4220023213323223001
51201330020042434
631453112240521
73055110550204
oct501347735301
9133324310634
1043144690369
1117330064500
1284410a0141
1340b7726cb1
1421340b993b
1511c7b0be64
hexa0b9fbac1

43144690369 has 27 divisors (see below), whose sum is σ = 49635498787. Its totient is φ = 37471425200.

The previous prime is 43144690349. The next prime is 43144690373. The reversal of 43144690369 is 96309644134.

It is a happy number.

The square root of 43144690369 is 207713.

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., 11780280369 + 31364410000 = 108537^2 + 177100^2 .

It is not a de Polignac number, because 43144690369 - 27 = 43144690241 is a prime.

It is a super-2 number, since 2×431446903692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (43144690349) 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, 52550979 + ... + 52551799.

Almost surely, 243144690369 is an apocalyptic number.

43144690369 is the 207713-rd square number.

43144690369 is the 103857-th centered octagonal number.

It is an amenable number.

43144690369 is a deficient number, since it is larger than the sum of its proper divisors (6490808418).

43144690369 is an frugal number, since it uses more digits than its factorization.

43144690369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 49.

Multiplying 43144690369 by its sum of digits (49), we get a square (2114089828081 = 14539912).

The spelling of 43144690369 in words is "forty-three billion, one hundred forty-four million, six hundred ninety thousand, three hundred sixty-nine".

Divisors: 1 11 23 121 253 529 821 2783 5819 9031 18883 64009 99341 207713 434309 674041 2284843 4777399 7414451 15502943 52551389 81558961 170532373 356567689 1875856103 3922244579 43144690369