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331315354442421 = 331743711318717929
BaseRepresentation
bin100101101010101000101111…
…0000000101001101010110101
31121110002102211201002021212000
41023111101132000221222311
5321411232321214124141
63132352101142045513
7126533513225356146
oct11325213600515265
91543072751067760
10331315354442421
11966270642335a8
12311ab175a19899
13112b3b99a3778b
145bb5a6a697acd
1528484155375b6
hex12d545e029ab5

331315354442421 has 128 divisors (see below), whose sum is σ = 539357717606400. Its totient is φ = 200163429365760.

The previous prime is 331315354442381. The next prime is 331315354442477. The reversal of 331315354442421 is 124244453513133.

331315354442421 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 15 + 354 + 44 + 242 + 1 = 666.

It is not a de Polignac number, because 331315354442421 - 210 = 331315354441397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331315354442621) 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 127 ways as a sum of consecutive naturals, for example, 18479290185 + ... + 18479308113.

It is an arithmetic number, because the mean of its divisors is an integer number (4213732168800).

Almost surely, 2331315354442421 is an apocalyptic number.

It is an amenable number.

331315354442421 is a deficient number, since it is larger than the sum of its proper divisors (208042363163979).

331315354442421 is a wasteful number, since it uses less digits than its factorization.

331315354442421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31256 (or 31250 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 331315354442421 in words is "three hundred thirty-one trillion, three hundred fifteen billion, three hundred fifty-four million, four hundred forty-two thousand, four hundred twenty-one".

Divisors: 1 3 9 17 27 43 51 71 129 153 213 387 459 639 731 1161 1207 1917 2193 3053 3621 6579 9159 10863 13187 17929 19737 27477 32589 39561 51901 53787 82431 118683 155703 161361 224179 304793 356049 467109 484083 567041 672537 770947 914379 936277 1272959 1401327 1701123 2017611 2312841 2743137 2808831 3818877 5103369 6052833 6938523 8229411 8426493 9639697 11456631 13106099 15310107 15916709 20815569 21640303 25279479 28919091 34369893 39318297 40259911 47750127 54737237 64920909 86757273 117954891 120779733 143250381 164211711 194762727 236429723 260271819 353864673 362339199 429751143 492635133 584288181 684418487 709289169 930533029 1087017597 1477905399 2053255461 2127867507 2791599087 4019305291 6159766383 6383602521 8374797261 10166478089 12057915873 16786510333 18479299149 25124391783 30499434267 36173747619 50359530999 91498302801 108521242857 151078592997 172830127513 274494908403 285370675661 453235778991 518490382539 721819944319 856112026983 1555471147617 2165459832957 2568336080949 4666413442851 6496379498871 7705008242847 12270939053423 19489138496613 36812817160269 110438451480807 331315354442421