Search a number
-
+
401116849542981 = 341113571456113297
BaseRepresentation
bin101101100110100000100101…
…1010101001001011101000101
31221121020101200220201100120000
41123031001023111021131011
5410033344301440333411
63541034311540431513
7150326510314256025
oct13315011325113505
91847211626640500
10401116849542981
11106898778521720
1238ba31713a8599
13142a82060ba4b0
14710a232827a85
153158e82e86956
hex16cd04b549745

401116849542981 has 160 divisors (see below), whose sum is σ = 705394859385216. Its totient is φ = 223942081536000.

The previous prime is 401116849542919. The next prime is 401116849542991. The reversal of 401116849542981 is 189245948611104.

401116849542981 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 1 + 6 + 8 + 4 + 9 + 542 + 9 + 81 = 666.

It is not a de Polignac number, because 401116849542981 - 26 = 401116849542917 is a prime.

It is a super-2 number, since 2×4011168495429812 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401116849542991) 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 in 159 ways as a sum of consecutive naturals, for example, 30165959325 + ... + 30165972621.

Almost surely, 2401116849542981 is an apocalyptic number.

It is an amenable number.

401116849542981 is a deficient number, since it is larger than the sum of its proper divisors (304278009842235).

401116849542981 is a wasteful number, since it uses less digits than its factorization.

401116849542981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18465 (or 18456 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 401116849542981 in words is "four hundred one trillion, one hundred sixteen billion, eight hundred forty-nine million, five hundred forty-two thousand, nine hundred eighty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 297 351 429 571 891 1053 1287 1713 3861 4561 5139 6281 7423 11583 13297 13683 15417 18843 22269 39891 41049 46251 50171 56529 59293 66807 81653 119673 123147 146267 150513 169587 172861 177879 200421 244959 359019 369441 438801 451539 508761 518583 533637 601263 652223 734877 1077057 1316403 1354617 1555749 1600911 1901471 1956669 2204631 2604331 3949209 4063851 4667247 4802733 5704413 5870007 6613893 7592587 7812993 11847627 14001741 17113239 17610021 22777761 23438979 28647641 33856303 51339717 52830063 60647617 68333283 70316937 83518457 85942923 98703631 101568909 154019151 181942851 204999849 210950811 250555371 257828769 296110893 304706727 372419333 545828553 614999547 667123787 751666113 773486307 788419021 888332679 914120181 1085739941 1117257999 1637485659 2001371361 2254998339 2320458921 2365257063 2664998037 2742360543 3257219823 3351773997 4912456977 6004114083 6764995017 7095771189 7994994111 8672609231 9771659469 10055321991 18012342249 21287313567 26017827693 29314978407 30165965973 34629789307 54037026747 63861940701 78053483079 87944935221 103889367921 234160449237 311668103763 380927682377 450187260991 702481347711 935004311289 1142783047131 1350561782973 2805012933867 3428349141393 4051685348919 4952059870901 10285047424179 12155056046757 14856179612703 30855142272537 36465168140271 44568538838109 133705616514327 401116849542981