137103741078944640

Names of 137103741078944640

• Cardinal: 137103741078944640 can be written as One hundred thirty-seven quadrillion, one hundred three trillion, seven hundred forty-one billion, seventy-eight million, nine hundred forty-four thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3710374107894464 × 10¹⁷

Factors of 137103741078944640

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 443086161

Divisors of 137103741078944640

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 23 24 26 28 30 32 33 35 39 40 42 44 46 48 49 52 55 56 60 64 65 66 69 70 77 78 80 84 88 91 92 96 98 104 105 110 112 115 120 128 130 132 138 140 143 147 154 156 160 161 165 168 176 182 184 192 195 196 208 210 220 224 230 231 240 245 253 260 264 273 276 280 286 294 299 308 312 320 322 330 336 345 352 364 368 384 385 390 392 416 420 429 440 448 455 460 462 480 483 490 506 520 528 539 546 552 560 572 588 598 616 624 637 640 644 660 672 690 704 715 728 735 736 759 770 780 784 805 832 840 858 880 896 897 910 920 924 960 966 980 1001 1012 1040 1056 1078 1092 1104 1120 1127 1144 1155 1176 1196 1232 1248 1265 1274 1288 1320 1344 1365 1380 1408 1430 1456 1470 1472 1495 1518 1540 1560 1568 1610 1617 1664 1680 1716 1760 1771 1794 1820 1840 1848 1911 1920 1932 1960 2002 2024 2080 2093 2112 2145 2156 2184 2208 2240 2254 2288 2310 2352 2392 2415 2464 2496 2530 2548 2576 2640 2688 2695 2730 2760 2860 2912 2940 2944 2990 3003 3036 3080 3120 3136 3185 3220 3234 3289 3360 3381 3432 3520 3542 3588 3640 3680 3696 3795 3822 3864 3920 4004 4048 4160 4186 4224 4290 4312 4368 4416 4480 4485 4508 4576 4620 4704 4784 4830 4928 4992 5005 5060 5096 5152 5280 5313 5390 5460 5520 5635 5720 5824 5880 5980 6006 6072 6160 6240 6272 6279 6370 6440 6468 6578 6720 6762 6864 7007 7040 7084 7176 7280 7360 7392 7590 7644 7728 7840 8008 8085 8096 8320 8372 8580 8624 8736 8832 8855 8970 9016 9152 9240 9408 9555 9568 9660 9856 9867 10010 10120 10192 10304 10465 10560 10626 10780 10920 11040 11270 11440 11648 11760 11960 12012 12144 12320 12397 12480 12558 12740 12880 12936 13156 13440 13524 13728 14014 14168 14352 14560 14651 14720 14784 15015 15180 15288 15456 15680 16016 16170 16192 16445 16744 16905 17160 17248 17472 17710 17940 18032 18304 18480 18816 19110 19136 19320 19734 20020 20240 20384 20608 20930 21021 21120 21252 21560 21840 22080 22540 22880 23023 23520 23920 24024 24288 24640 24794 24960 25116 25480 25760 25872 26312 26565 27048 27456 28028 28336 28704 29120 29302 29568 30030 30360 30576 30912 31360 31395 32032 32340 32384 32890 33488 33810 34320 34496 34944 35035 35420 35880 36064 36960 37191 38220 38272 38640 39468 40040 40480 40768 41860 42042 42504 43120 43680 43953 44160 45080 45760 46046 47040 47840 48048 48576 49280 49335 49588 50232 50960 51520 51744 52624 53130 54096 54912 56056 56672 57408 58240 58604 60060 60720 61152 61824 61985 62790 64064 64680 65780 66976 67620 68640 68992 69069 70070 70840 71760 72128 73255 73920 74382 76440 77280 78936 80080 80960 81536 83720 84084 85008 86240 87360 87906 90160 91520 92092 94080 95680 96096 97152 98670 99176 100464 101920 103040 103488 105105 105248 106260 108192 112112 113344 114816 115115 117208 120120 121440 122304 123970 125580 128128 129360 131560 133952 135240 137280 138138 140140 141680 143520 144256 146510 147840 148764 152880 154560 157872 160160 161161 161920 167440 168168 170016 172480 174720 175812 180320 184184 185955 191360 192192 197340 198352 200928 203840 206976 210210 210496 212520 216384 219765 224224 226688 230230 234416 240240 242880 244608 247940 251160 258720 263120 267904 270480 274560 276276 280280 283360 287040 293020 297528 305760 309120 315744 320320 322322 334880 336336 340032 344960 345345 351624 360640 368368 371910 384384 394680 396704 401856 407680 420420 420992 425040 432768 439530 448448 460460 468832 480480 483483 485760 495880 502320 517440 526240 540960 552552 560560 566720 574080 586040 595056 611520 631488 640640 644644 669760 672672 680064 690690 703248 721280 736736 743820 789360 793408 803712 805805 840840 850080 879060 896896 920920 937664 960960 966966 991760 1004640 1034880 1052480 1081920 1105104 1121120 1133440 1172080 1190112 1223040 1262976 1289288 1339520 1345344 1381380 1406496 1473472 1487640 1578720 1586816 1611610 1681680 1700160 1758120 1841840 1875328 1921920 1933932 1983520 2009280 2104960 2163840 2210208 2242240 2344160 2380224 2417415 2578576 2690688 2762760 2812992 2946944 2975280 3157440 3223220 3363360 3400320 3516240 3683680 3867864 3967040 4018560 4420416 4484480 4688320 4760448 4834830 5157152 5525520 5625984 5950560 6314880 6446440 6726720 7032480 7367360 7735728 7934080 8840832 9376640 9669660 10314304 11051040 11901120 12892880 13453440 14064960 14734720 15471456 19339320 20628608 22102080 23802240 25785760 28129920 30942912 38678640 44204160 51571520 61885824 77357280 103143040 154714560 309429120 443086097 886172194 1329258291 1772344388 2215430485 2658516582 3101602679 3544688776 4430860970 4873947067 5317033164 5760119261 6203205358 6646291455 7089377552 8861721940 9304808037 9747894134 10190980231 10634066328 11520238522 12406410716 13292582910 14178755104 14621841201 15508013395 17280357783 17723443880 18609616074 19495788268 20381960462 21268132656 21711218753 23040477044 24369735335 24812821432 26585165820 28357510208 28800596305 29243682402 30572940693 31016026790 34117629469 34560715566 35446887760 37219232148 38991576536 40320834827 40763920924 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5210692500720 5299309720120 5322350197164 5380837561968 5458820715040 5492938344509 5529714490560 5564275206126 5644916875780 5706948929360 5731761750792 5829240692132 5955077143680 5992296375828 6082685939616 6209408563358 6277643822296 6359171664144 6451333572320 6491654407147 6522227347840 6550584858048 6652937746455 6726046952460 6773900250936 6848338715232 6947590000960 7096466929552 7164702188490 7174450082624 7286550865165 7419033608168 7490370469785 7603357424520 7642349001056 7741600286784 7847054777870 7948964580180 7989728501104 8110247919488 8188231072560 8337108001152 8467375313670 8478895552192 8560423394040 8743861038198 8870583661940 8968062603280 9031867001248 9131118286976 9273792010210 9314112845037 9357978368640 9416465733444 9552936251320 9677000358480 9783341021760 9987160626380 10137809899360 10201171211231 10421385001440 10598619440240 10644700394328 10761675123936 10917641430080 10985876689018 11059428981120 11128550412252 11289833751560 11413897858720 11463523501584 11658481384264 11770582166805 11984592751656 12165371879232 12418817126716 12555287644592 12718343328288 12902667144640 12983308814294 13101169716096 13305875492910 13452093904920 13547800501872 13696677430464 13895180001920 13910688015315 14192933859104 14329404376980 14348900165248 14573101730330 14838067216336 14980740939570 15206714849040 15284698002112 15483200573568 15523521408395 15694109555740 15897929160360 15979457002208 16376462145120 16478815033527 16934750627340 16957791104384 17120846788080 17487722076396 17741167323880 17936125206560 18063734002496 18547584020420 18628225690074 18832931466888 19105872502640 19354000716960 19474963221441 19566682043520 19974321252760 20275619798720 20402342422462 20842770002880 21197238880480 21289400788656 21523350247872 21835282860160 21859652595495 21971753378036 22257100824504 22579667503120 22827795717440 22927047003168 23316962768528 23541164333610 23969185503312 24330743758464 24837634253432 25110575289184 25436686656576 25805334289280 25966617628588 26611750985820 26904187809840 27095601003744 27393354860928 27464691722545 27821376030630 28385867718208 28658808753960 29146203460660 29676134432672 29961481879140 30413429698080 30569396004224 30603513633693 31047042816790 31388219111480 31795858320720 31958914004416 32458272035735 32752924290240 32957630067054 33869501254680 34241693576160 34975444152792 35482334647760 35872250413120 36127468004992 37095168040840 37256451380148 37665862933776 38211745005280 38708001433920 38949926442882 39948642505520 40551239597440 40804684844924 41685540005760 42394477760960 42578801577312 43046700495744 43719305190990 43943506756072 44514201649008 45159335006240 45655591434880 45854094006336 46570564225185 46633925537056 47082328667220 47938371006624 49675268506864 50221150578368 50873373313152 51005856056155 51933235257176 53223501971640 53808375619680 54191202007488 54929383445090 55642752061260 56771735436416 57317617507920 58292406921320 59352268865344 59922963758280 60826859396160 61207027267386 62094085633580 62776438222960 63591716641440 63917828008832 64916544071470 65505848580480 65915260134108 67739002509360 68483387152320 69950888305584 70964669295520 71408198478617 71744500826240 74190336081680 74512902760296 75331725867552 76423490010560 77416002867840 77899852885764 79897285011040 81609369689848 82394075167635 84788955521920 85157603154624 87438610381980 87887013512144 89028403298016 90318670012480 91708188012672 93141128450370 93267851074112 94164657334440 95876742013248 97374816107205 99350537013728 100442301156736 102011712112310 103866470514352 106447003943280 107616751239360 108382404014976 109858766890180 111285504122520 114635235015840 116584813842640 118704537730688 119845927516560 121653718792320 122414054534772 124188171267160 125552876445920 127183433282880 129833088142940 131830520268216 135478005018720 136966774304640 139901776611168 141929338591040 142816396957234 148380672163360 149025805520592 150663451735104 152846980021120 153017568168465 155799705771528 159794570022080 163218739379696 164788150335270 170315206309248 174877220763960 175774027024288 178056806596032 180637340024960 186282256900740 186535702148224 188329314668880 191753484026496 194749632214410 198701074027456 204023424224620 207732941028704 212894007886560 214224595435851 215233502478720 219717533780360 222571008245040 229270470031680 233169627685280 239691855033120 244828109069544 248376342534320 251105752891840 254366866565760 259666176285880 263661040536432 270956010037440 279803553222336 283858677182080 285632793914468 296761344326720 298051611041184 301326903470208 306035136336930 311599411543056 319589140044160 326437478759392 329576300670540 349754441527920 351548054048576 356113613192064 357040992393085 372564513801480 376658629337760 389499264428820 397402148054912 408046848449240 415465882057408 425788015773120 428449190871702 439435067560720 445142016490080 458540940063360 466339255370560 479383710066240 489656218139088 496752685068640 502211505783680 519332352571760 527322081072864 541912020074880 559607106444672 571265587828936 593522688653440 596103222082368 612070272673860 623198823086112 652874957518784 659152601341080 699508883055840 703096108097152 714081984786170 745129027602960 753317258675520 778998528857640 816093696898480 830931764114816 851576031546240 856898381743404 878870135121440 890284032980160 932678510741120 958767420132480 979312436278176 993505370137280 1038664705143520 1054644162145728 1071122977179255 1142531175657872 1192206444164736 1224140545347720 1246397646172224 1305749915037568 1318305202682160 1399017766111680 1428163969572340 1490258055205920 1506634517351040 1557997057715280 1632187393796960 1713796763486808 1757740270242880 1780568065960320 1958624872556352 1987010740274560 2077329410287040 2109288324291456 2142245954358510 2285062351315744 2448281090695440 2492795292344448 2636610405364320 2798035532223360 2856327939144680 2980516110411840 3115994115430560 3264374787593920 3427593526973616 3515480540485760 3917249745112704 4154658820574080 4284491908717020 4570124702631488 4896562181390880 5273220810728640 5712655878289360 5961032220823680 6231988230861120 6528749575187840 6855187053947232 8568983817434040 9140249405262976 9793124362781760 10546441621457280 11425311756578720 12463976461722240 13710374107894464 17137967634868080 19586248725563520 22850623513157440 27420748215788928 34275935269736160 45701247026314880 68551870539472320 137103741078944640
• Sum of all divisors σ(n): 623210734646922240
• Sum of proper divisors (its aliquot sum) s(n): 486106993567977600
• 137103741078944640 is an abundant number, because the sum of its proper divisors (486106993567977600) is greater than itself. Its abundance is 349003252489032960

Bases of 137103741078944640

• Binary: 111100111000101110010000001001000011000110011101110000000₂
• Hexadecimal: 0x1E7172048633B80
• Base-36: 11HZ7X50PL6O

Squares and roots of 137103741078944640

• 137103741078944640 squared (137103741078944640²) is 18797435817842291958028736184729600
• 137103741078944640 cubed (137103741078944640³) is 2577198773317529579022620031829968921192051769344000
• The square root of 137103741078944640 is 370275223.4202886009
• The cube root of 137103741078944640 is 515643.7622371969

Scales and comparisons

• 137,103,741,078,944,640 seconds is equal to 4,359,474,876 years, 30 weeks, 6 days, 9 hours, 4 minutes.
• To count from 1 to 137,103,741,078,944,640 would take you about thirteen billion, seventy-eight million, four hundred twenty-four thousand, six hundred twenty-nine 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 137103741078944640 cubic inches would be around 42970.3 feet tall.

Recreational maths with 137103741078944640

• 137103741078944640 backwards is 046449870147301731
• 137103741078944640 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137103741078944640's digits is 69
• More coming soon!