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134240401344231 = 33713107734969481
BaseRepresentation
bin11110100001011101000111…
…011011111100011011100111
3122121022020221101020121111000
4132201131013123330123213
5120043343320221003411
61153301104455044343
740163356200343320
oct3641350733743347
9577266841217430
10134240401344231
1139856041a11986
12130808329706b3
1359b9a7a944720
1425213ad1c1447
15107bd7a83b956
hex7a17476fc6e7

134240401344231 has 128 divisors (see below), whose sum is σ = 247093555968000. Its totient is φ = 70135811159040.

The previous prime is 134240401344199. The next prime is 134240401344241. The reversal of 134240401344231 is 132443104042431.

134240401344231 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 40 + 40 + 1 + 344 + 231 = 666.

It is not a de Polignac number, because 134240401344231 - 25 = 134240401344199 is a prime.

It is a super-2 number, since 2×1342404013442312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134240401344241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1932010011 + ... + 1932079491.

It is an arithmetic number, because the mean of its divisors is an integer number (1930418406000).

Almost surely, 2134240401344231 is an apocalyptic number.

134240401344231 is a deficient number, since it is larger than the sum of its proper divisors (112853154623769).

134240401344231 is a wasteful number, since it uses less digits than its factorization.

134240401344231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76966 (or 76960 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 134240401344231 its reverse (132443104042431), we get a palindrome (266683505386662).

The spelling of 134240401344231 in words is "one hundred thirty-four trillion, two hundred forty billion, four hundred one million, three hundred forty-four thousand, two hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 107 117 189 273 321 351 749 819 963 1391 2247 2457 2889 4173 6741 7349 9737 12519 20223 22047 29211 37557 51443 66141 69481 87633 95537 154329 198423 208443 262899 286611 462987 486367 625329 668759 786343 859833 903253 1388961 1459101 1875987 2006277 2359029 2579499 2709759 4377303 5504401 6018831 6322771 7077087 7434467 8129277 10222459 13131909 16513203 18056493 18968313 21231261 22303401 24387831 30667377 49539609 52041269 56904939 66910203 71557213 92002131 96648071 148618827 156123807 170714817 200730609 214671639 276006393 289944213 468371421 510615869 644014917 676536497 869832639 1405114263 1531847607 1932044751 2029609491 2609497917 3574311083 4595542821 6088828473 6638006297 10722933249 13786628463 18266485419 19914018891 32168799747 46466044079 54635897983 59742056673 96506399241 139398132237 163907693949 179226170019 382451285881 418194396711 491723081847 710266673779 1147353857643 1254583190133 1475169245541 2130800021337 3442061572929 4971866716453 6392400064011 10326184718787 14915600149359 19177200192033 44746800448077 134240401344231