Search a number
-
+
4128702016149 = 34376122583797
BaseRepresentation
bin111100000101001001110…
…100010010101010010101
3112121200220100020112110000
4330011021310102222111
51020121040204004044
612440411032521513
7604201041045024
oct74051164225225
915550810215400
104128702016149
111351a77720277
12568205b50299
1323c447abcb89
14103b8a2908bb
15725e4dcad69
hex3c149d12a95

4128702016149 has 40 divisors (see below), whose sum is σ = 6438098798648. Its totient is φ = 2634173965440.

The previous prime is 4128702016141. The next prime is 4128702016181. The reversal of 4128702016149 is 9416102078214.

4128702016149 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 7 + 0 + 20 + 1 + 614 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 693953649 + 4128008062500 = 26343^2 + 2031750^2 .

It is not a de Polignac number, because 4128702016149 - 23 = 4128702016141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128702016141) 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 39 ways as a sum of consecutive naturals, for example, 11109082 + ... + 11474715.

Almost surely, 24128702016149 is an apocalyptic number.

It is an amenable number.

4128702016149 is a deficient number, since it is larger than the sum of its proper divisors (2309396782499).

4128702016149 is a wasteful number, since it uses less digits than its factorization.

4128702016149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22583907 (or 22583898 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 4128702016149 in words is "four trillion, one hundred twenty-eight billion, seven hundred two million, sixteen thousand, one hundred forty-nine".

Divisors: 1 3 9 27 37 61 81 111 183 333 549 999 1647 2257 2997 4941 6771 20313 60939 182817 22583797 67751391 203254173 609762519 835600489 1377611617 1829287557 2506801467 4132834851 7520404401 12398504553 22561213203 37195513659 50971629829 67683639609 111586540977 152914889487 458744668461 1376234005383 4128702016149