34027738369033920

Names of 34027738369033920

• Cardinal: 34027738369033920 can be written as Thirty-four quadrillion, twenty-seven trillion, seven hundred thirty-eight billion, three hundred sixty-nine million, thirty-three thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 3.402773836903392 × 10¹⁶

Factors of 34027738369033920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2765038

Divisors of 34027738369033920

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 41 42 48 56 60 64 70 80 82 84 96 105 112 120 123 140 160 164 168 192 205 210 224 240 246 280 287 320 328 336 410 420 448 480 492 560 574 615 656 672 820 840 861 960 984 1120 1148 1230 1312 1344 1435 1640 1680 1722 1968 2240 2296 2460 2624 2870 3280 3360 3444 3936 4305 4592 4920 5740 6560 6720 6888 7872 8610 9184 9840 11480 13120 13776 17220 18368 19680 22960 27552 34440 39360 45413 45920 55104 68880 90826 91840 136239 137760 181652 227065 272478 275520 317891 363304 454130 544956 635782 681195 726608 908260 953673 1089912 1271564 1362390 1453216 1589455 1816520 1861933 1907346 2179824 2543128 2719567 2724780 2906432 3178910 3633040 3723866 3814692 4359648 4768365 5086256 5439134 5449560 5585799 6357820 7266080 7447732 7629384 8158701 8719296 9309665 9536730 10172512 10878268 10899120 11171598 12715640 13033531 13597835 14532160 14895464 15258768 16317402 18619330 19036969 19073460 20345024 21756536 21798240 22343196 25431280 26067062 27195670 27928995 29790928 30517536 32634804 37238660 38073938 38146920 39100593 40793505 43513072 43596480 44686392 50862560 52134124 54391340 55857990 57110907 59581856 61035072 65167655 65269608 74477320 76147876 76293840 78201186 81587010 87026144 89372784 95184845 101725120 104268248 108782680 111502247 111715980 114221814 119163712 130335310 130539216 148954640 152295752 152587680 156402372 163174020 174052288 178745568 190369690 195502965 208536496 217565360 223004494 223431960 228443628 260670620 261078432 285554535 297909280 304591504 305175360 312804744 326348040 334506741 357491136 380739380 391005930 417072992 435130720 446008988 446863920 456887256 521341240 522156864 557511235 571109070 595818560 609183008 625609488 652696080 669013482 761478760 780515729 782011860 834145984 870261440 892017976 893727840 913774512 1042682480 1115022470 1142218140 1218366016 1251218976 1305392160 1338026964 1522957520 1561031458 1564023720 1672533705 1784035952 1787455680 1827549024 2085364960 2230044940 2284436280 2341547187 2502437952 2610784320 2676053928 3045915040 3122062916 3128047440 3345067410 3568071904 3655098048 3902578645 4170729920 4460089880 4568872560 4683094374 5352107856 6091830080 6244125832 6256094880 6690134820 7136143808 7805157290 8920179760 9137745120 9366188748 10704215712 11707735935 12488251664 12512189760 13380269640 15610314580 17840359520 18275490240 18732377496 21408431424 23415471870 24976503328 26760539280 31220629160 35680719040 37464754992 46830943740 49953006656 53521078560 62441258320 74929509984 93661887480 107042157120 123503696171 124882516640 149859019968 187323774960 247007392342 249765033280 370511088513 374647549920 494014784684 617518480855 741022177026 749295099840 864525873197 988029569368 1235036961710 1482044354052 1729051746394 1852555442565 1976059138736 2470073923420 2593577619591 2964088708104 3458103492788 3705110885130 3952118277472 4322629365985 4940147846840 5063651543011 5187155239182 5928177416208 6916206985576 7410221770260 7904236554944 8645258731970 9880295693680 10127303086022 10374310478364 11856354832416 12967888097955 13832413971152 14820443540520 15190954629033 17290517463940 19760591387360 20254606172044 20748620956728 23712709664832 25318257715055 25935776195910 27664827942304 29640887081040 30381909258066 34581034927880 35445560801077 39521182774720 40509212344088 41497241913456 50636515430110 51871552391820 55329655884608 59281774162080 60763818516132 69162069855760 70891121602154 75954773145165 81018424688176 82994483826912 101273030860220 103743104783640 106336682403231 118563548324160 121527637032264 138324139711520 141782243204308 151909546290330 162036849376352 165988967653824 177227804005385 202546061720440 207486209567280 212673364806462 243055274064528 276648279423040 283564486408616 303819092580660 324073698752704 354455608010770 405092123440880 414972419134560 425346729612924 486110548129056 531683412016155 567128972817232 607638185161320 708911216021540 810184246881760 829944838269120 850693459225848 972221096258112 1063366824032310 1134257945634464 1215276370322640 1417822432043080 1620368493763520 1701386918451696 2126733648064620 2268515891268928 2430552740645280 2835644864086160 3402773836903392 4253467296129240 4861105481290560 5671289728172320 6805547673806784 8506934592258480 11342579456344640 17013869184516960 34027738369033920
• Sum of all divisors σ(n): 126486425046675456
• Sum of proper divisors (its aliquot sum) s(n): 92458686677641536
• 34027738369033920 is an abundant number, because the sum of its proper divisors (92458686677641536) is greater than itself. Its abundance is 58430948308607616

Bases of 34027738369033920

• Binary: 1111000111001000000110000111001111111110000011011000000₂
• Hexadecimal: 0x78E40C39FF06C0
• Base-36: 9B1TR7AR4QO

Squares and roots of 34027738369033920

• 34027738369033920 squared (34027738369033920²) is 1157886978511423221931954110566400
• 34027738369033920 cubed (34027738369033920³) is 39400275165697910000042664670955489485632012288000
• The square root of 34027738369033920 is 184466090.0247899763
• The cube root of 34027738369033920 is 324049.2557369251

Scales and comparisons

• 34,027,738,369,033,920 seconds is equal to 1,081,976,825 years, 22 weeks, 2 days, 9 hours, 52 minutes.
• To count from 1 to 34,027,738,369,033,920 would take you about three billion, two hundred forty-five million, nine hundred thirty thousand, four hundred seventy-six 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 34027738369033920 cubic inches would be around 27004.1 feet tall.

Recreational maths with 34027738369033920

• 34027738369033920 backwards is 02933096383772043
• The number of decimal digits it has is: 17
• The sum of 34027738369033920's digits is 69
• More coming soon!