34188420168864

Names of 34188420168864

• Cardinal: 34188420168864 can be written as Thirty-four trillion, one hundred eighty-eight billion, four hundred twenty million, one hundred sixty-eight thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 3.4188420168864 × 10¹³

Factors of 34188420168864

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 672

Divisors of 34188420168864

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 53 54 72 78 81 96 104 106 108 117 144 156 159 162 208 212 216 234 288 312 318 324 351 416 424 432 468 477 601 624 636 648 689 702 848 864 936 954 1053 1202 1248 1272 1296 1378 1404 1431 1696 1803 1872 1908 2067 2106 2404 2544 2592 2756 2808 2809 2862 3606 3744 3816 4134 4212 4293 4808 5088 5409 5512 5616 5618 5724 6201 7212 7632 7813 8268 8424 8427 8586 9616 10818 11024 11232 11236 11448 12402 14424 15264 15626 16227 16536 16848 16854 17172 18603 19232 21636 22048 22472 22896 23439 24804 25281 28848 31252 31853 32454 33072 33696 33708 34344 36517 37206 43272 44944 45792 46878 48681 49608 50562 55809 57696 62504 63706 64908 66144 67416 68688 70317 73034 74412 75843 86544 89888 93756 95559 97362 99216 101124 109551 111618 125008 127412 129816 134832 137376 140634 146068 148824 151686 173088 187512 191118 194724 198432 202248 210951 219102 223236 227529 250016 254824 259632 269664 281268 286677 292136 297648 303372 328653 361201 375024 382236 389448 404496 414089 421902 438204 446472 455058 509648 519264 562536 573354 584272 595296 606744 632853 657306 722402 750048 764472 778896 808992 828178 843804 860031 876408 892944 910116 985959 1019296 1083603 1125072 1146708 1168544 1213488 1242267 1265706 1314612 1444804 1528944 1557792 1656356 1687608 1688209 1720062 1752816 1785888 1820232 1971918 2167206 2250144 2293416 2426976 2484534 2531412 2580093 2629224 2889608 2957877 3057888 3250809 3312712 3375216 3376418 3440124 3505632 3640464 3726801 3943836 4334412 4586832 4695613 4969068 5062824 5064627 5160186 5258448 5779216 5915754 6501618 6625424 6750432 6752836 6880248 7280928 7453602 7887672 8668824 9173664 9391226 9752427 9938136 10125648 10129254 10320372 10516896 11180403 11558432 11831508 13003236 13250848 13505672 13760496 14086839 14907204 15193881 15775344 17337648 18782452 19143653 19504854 19876272 20251296 20258508 20640744 21946717 22360806 23663016 26006472 27011344 27520992 28173678 29257281 29814408 30387762 31550688 33541209 34675296 37564904 38287306 39009708 39752544 40517016 41281488 42260517 43893434 44721612 45581643 47326032 52012944 54022688 56347356 57430959 58514562 59628816 60775524 65840151 67082418 75129808 76574612 78019416 81034032 82562976 84521034 87786868 89443224 91163286 94652064 104025888 112694712 114861918 117029124 119257632 121551048 126781551 131680302 134164836 136744929 150259616 153149224 156038832 162068064 169042068 172292877 175573736 178886448 182326572 197520453 225389424 229723836 234058248 243102096 248867489 253563102 263360604 268329672 273489858 306298448 312077664 338084136 344585754 351147472 357772896 364653144 380344653 395040906 450778848 459447672 468116496 486204192 497734978 507126204 516878631 526721208 536659344 546979716 592561359 612596896 676168272 689171508 702294944 729306288 746602467 760689306 790081812 918895344 936232992 995469956 1014252408 1014613609 1033757262 1053442416 1073318688 1093959432 1185122718 1352336544 1378343016 1458612576 1493204934 1521378612 1550635893 1580163624 1777684077 1837790688 1990939912 2028504816 2029227218 2067514524 2106884832 2187918864 2239807401 2370245436 2756686032 2986409868 3042757224 3043840827 3101271786 3160327248 3555368154 3981879824 4057009632 4058454436 4135029048 4375837728 4479614802 4740490872 5513372064 5972819736 6085514448 6087681654 6202543572 6320654496 6719422203 7110736308 7963759648 8116908872 8270058096 8959229604 9131522481 9480981744 11945639472 12171028896 12175363308 12405087144 13189976917 13438844406 14221472616 16233817744 16540116192 17918459208 18263044962 18961963488 20158266609 23891278944 24350726616 24810174288 26379953834 26877688812 27394567443 28442945232 32467635488 35836918416 36526089924 39569930751 40316533218 48701453232 49620348576 52759907668 53755377624 54789134886 56885890464 71673836832 73052179848 79139861502 80633066436 82183702329 97402906464 105519815336 107510755248 109578269772 118709792253 146104359696 158279723004 161266132872 164367404658 211039630672 215021510496 219156539544 237419584506 292208719392 316559446008 322532265744 328734809316 356129376759 422079261344 438313079088 474839169012 633118892016 645064531488 657469618632 712258753518 876626158176 949678338024 1068388130277 1266237784032 1314939237264 1424517507036 1899356676048 2136776260554 2629878474528 2849035014072 3798713352096 4273552521108 5698070028144 8547105042216 11396140056288 17094210084432 34188420168864
• Sum of all divisors σ(n): 110547128750058
• Sum of proper divisors (its aliquot sum) s(n): 76358708581194
• 34188420168864 is an abundant number, because the sum of its proper divisors (76358708581194) is greater than itself. Its abundance is 42170288412330

Bases of 34188420168864

• Binary: 111110001100000011100101000111011110010100000₂
• Hexadecimal: 0x1F181CA3BCA0
• Base-36: C49XYNE00

Squares and roots of 34188420168864

• 34188420168864 squared (34188420168864²) is 1168848073642786738275050496
• 34188420168864 cubed (34188420168864³) is 39961069055266884086193041650534446956544
• The square root of 34188420168864 is 5847086.4683929551
• The cube root of 34188420168864 is 32455.8517461937

Scales and comparisons

• 34,188,420,168,864 seconds is equal to 1,087,086 years, 3 days, 12 hours, 14 minutes, 24 seconds.
• To count from 1 to 34,188,420,168,864 would take you about two million, seven hundred seventeen thousand, seven hundred fifteen years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 34188420168864 cubic inches would be around 2704.7 feet tall.

Recreational maths with 34188420168864

• 34188420168864 backwards is 46886102488143
• The number of decimal digits it has is: 14
• The sum of 34188420168864's digits is 63
• More coming soon!