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334334040212412 = 2232375912173495697
BaseRepresentation
bin100110000000100110011010…
…1101101000000001110111100
31121211210000121002221000220100
41030001030311231000032330
5322310212103243244122
63143022534314321100
7130264560122141622
oct11401146555001674
91554700532830810
10334334040212412
11975902a76a1899
12315b8215729190
13114727458942c6
145c7bbd50cd512
15289bbe0445aac
hex1301335b403bc

334334040212412 has 144 divisors (see below), whose sum is σ = 883400078826720. Its totient is φ = 106507201314816.

The previous prime is 334334040212383. The next prime is 334334040212423. The reversal of 334334040212412 is 214212040433433.

334334040212412 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 3 + 4 + 0 + 402 + 1 + 241 + 2 = 666.

It is a super-2 number, since 2×3343340402124122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93893748 + ... + 97389444.

It is an arithmetic number, because the mean of its divisors is an integer number (6134722769630).

Almost surely, 2334334040212412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334334040212412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441700039413360).

334334040212412 is an abundant number, since it is smaller than the sum of its proper divisors (549066038614308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

334334040212412 is a wasteful number, since it uses less digits than its factorization.

334334040212412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497020 (or 3497015 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 334334040212412 its reverse (214212040433433), we get a palindrome (548546080645845).

The spelling of 334334040212412 in words is "three hundred thirty-four trillion, three hundred thirty-four billion, forty million, two hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 59 74 111 118 148 177 222 236 333 354 444 531 666 708 1062 1217 1332 2124 2183 2434 3651 4366 4868 6549 7302 8732 10953 13098 14604 19647 21906 26196 39294 43812 45029 71803 78588 90058 135087 143606 180116 215409 270174 287212 405261 430818 540348 646227 810522 861636 1292454 1621044 2584908 2656711 3495697 5313422 6991394 7970133 10487091 10626844 13982788 15940266 20974182 23910399 31461273 31880532 41948364 47820798 62922546 95641596 125845092 129340789 206246123 258681578 388022367 412492246 517363156 618738369 776044734 824984492 1164067101 1237476738 1552089468 1856215107 2328134202 2474953476 3712430214 4254263249 4656268404 7424860428 7631106551 8508526498 12762789747 15262213102 17017052996 22893319653 25525579494 30524426204 38288369241 45786639306 51051158988 68679958959 76576738482 91573278612 137359917918 153153476964 157407740213 251001531691 274719835836 314815480426 472223220639 502003063382 629630960852 753004595073 944446441278 1004006126764 1416669661917 1506009190146 1888892882556 2259013785219 2833339323834 3012018380292 4518027570438 5666678647668 9036055140876 9287056672567 18574113345134 27861170017701 37148226690268 55722340035402 83583510053103 111444680070804 167167020106206 334334040212412