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334405430334141 = 323431491478351169
BaseRepresentation
bin100110000001000111101010…
…0111000101101001010111101
31121212000211212102000222021220
41030002033110320231022331
5322312344310131143031
63143115422304343553
7130302665206152405
oct11402172470551275
91555024772028256
10334405430334141
11976086015459a1
123160a01a014bb9
13114793b200c09a
145c814485a5805
15289d9bcae9596
hex13023d4e2d2bd

334405430334141 has 64 divisors (see below), whose sum is σ = 479316676608000. Its totient is φ = 206868955797504.

The previous prime is 334405430334137. The next prime is 334405430334193. The reversal of 334405430334141 is 141433034504433.

It is not a de Polignac number, because 334405430334141 - 22 = 334405430334137 is a prime.

It is a super-2 number, since 2×3344054303341412 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 334405430334093 and 334405430334102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334405430314141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6535287405 + ... + 6535338573.

It is an arithmetic number, because the mean of its divisors is an integer number (7489323072000).

Almost surely, 2334405430334141 is an apocalyptic number.

It is an amenable number.

334405430334141 is a deficient number, since it is larger than the sum of its proper divisors (144911246273859).

334405430334141 is a wasteful number, since it uses less digits than its factorization.

334405430334141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66170.

The product of its (nonzero) digits is 1244160, while the sum is 42.

Adding to 334405430334141 its reverse (141433034504433), we get a palindrome (475838464838574).

The spelling of 334405430334141 in words is "three hundred thirty-four trillion, four hundred five billion, four hundred thirty million, three hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 23 43 69 129 149 447 989 2967 3427 6407 10281 14783 19221 44349 51169 147361 153507 340009 442083 635669 1020027 1176887 1907007 2200267 2202667 3530661 6600801 6608001 7624181 14620387 22872543 43861161 50606141 50661341 94714681 151818423 151984023 175356163 284144043 327839783 526068489 756431327 983519349 2178437663 2269293981 6535312989 7540315009 17397920521 22620945027 32526547061 52193761563 97579641183 112708267723 338124803169 748110582403 2244331747209 2592290157629 4846455512089 7776870472887 14539366536267 111468476778047 334405430334141