Search a number
-
+
16443412767281 is a prime number
BaseRepresentation
bin1110111101001000011111…
…0001101110001000110001
32011012222022201010020211002
43233102013301232020301
54123402102132023111
654545555522331345
73314666045241233
oct357220761561061
964188281106732
1016443412767281
11526a680912435
121a16a157b9b55
139237b7c52016
1440bc18a20253
151d7ae6bd663b
hexef487c6e231

16443412767281 has 2 divisors, whose sum is σ = 16443412767282. Its totient is φ = 16443412767280.

The previous prime is 16443412767277. The next prime is 16443412767317. The reversal of 16443412767281 is 18276721434461.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9465805989025 + 6977606778256 = 3076655^2 + 2641516^2 .

It is a cyclic number.

It is not a de Polignac number, because 16443412767281 - 22 = 16443412767277 is a prime.

It is a super-3 number, since 3×164434127672813 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (16443412467281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8221706383640 + 8221706383641.

It is an arithmetic number, because the mean of its divisors is an integer number (8221706383641).

Almost surely, 216443412767281 is an apocalyptic number.

It is an amenable number.

16443412767281 is a deficient number, since it is larger than the sum of its proper divisors (1).

16443412767281 is an equidigital number, since it uses as much as digits as its factorization.

16443412767281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10838016, while the sum is 56.

The spelling of 16443412767281 in words is "sixteen trillion, four hundred forty-three billion, four hundred twelve million, seven hundred sixty-seven thousand, two hundred eighty-one".