Search a number
-
+
8836644342141 = 337118098276353
BaseRepresentation
bin1000000010010111000100…
…0011000000100101111101
31011021202220221022121011000
42000211301003000211331
52124234421422422031
630443255351520513
71601266166406060
oct200456103004575
934252827277130
108836644342141
1128a76663a6610
12ba8726389139
134c13a4654305
142279a56688d7
15104cdc3453e6
hex809710c097d

8836644342141 has 128 divisors (see below), whose sum is σ = 16364162764800. Its totient is φ = 4578525665280.

The previous prime is 8836644342139. The next prime is 8836644342187. The reversal of 8836644342141 is 1412434466388.

8836644342141 is a `hidden beast` number, since 8 + 8 + 3 + 6 + 64 + 434 + 2 + 141 = 666.

It is not a de Polignac number, because 8836644342141 - 21 = 8836644342139 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8836644342541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1390937221 + ... + 1390943573.

It is an arithmetic number, because the mean of its divisors is an integer number (127845021600).

Almost surely, 28836644342141 is an apocalyptic number.

It is an amenable number.

8836644342141 is a deficient number, since it is larger than the sum of its proper divisors (7527518422659).

8836644342141 is a wasteful number, since it uses less digits than its factorization.

8836644342141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8016 (or 8010 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 8836644342141 in words is "eight trillion, eight hundred thirty-six billion, six hundred forty-four million, three hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 809 827 2079 2427 2481 5663 5789 6353 7281 7443 8899 9097 16989 17367 19059 21843 22329 26697 27291 44471 50967 52101 57177 62293 63679 69883 80091 81873 133413 152901 156303 171531 186879 191037 209649 240273 245619 400239 489181 560637 573111 628947 669043 1200717 1467543 1681911 1719333 1886841 2007129 4402629 4683301 5139577 5253931 6021387 7359473 13207887 14049903 15418731 15761793 18064161 22078419 35977039 36777517 42149709 46256193 47285379 51516311 56535347 57793241 66235257 107931117 110332551 126449127 138768579 141856137 154548933 169606041 173379723 198705771 323793351 330997653 395747429 404552687 463646799 508818123 520139169 971380053 992992959 1187242287 1213658061 1390940397 1526454369 1560417507 3561726861 3640974183 4250430179 10685180583 10922922549 12751290537 29753011253 38253871611 46754731969 89259033759 114761614833 140264195907 267777101277 327283123783 420792587721 803331303831 981849371349 1262377763163 2945548114047 8836644342141