135921288613859840

Names of 135921288613859840

• Cardinal: 135921288613859840 can be written as One hundred thirty-five quadrillion, nine hundred twenty-one trillion, two hundred eighty-eight billion, six hundred thirteen million, eight hundred fifty-nine thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3592128861385984 × 10¹⁷

Factors of 135921288613859840

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1767576

Divisors of 135921288613859840

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 167 182 208 224 256 260 280 320 334 364 416 448 455 512 520 560 640 668 728 832 835 896 910 1040 1120 1169 1280 1336 1456 1664 1670 1792 1820 1979 2080 2171 2240 2338 2560 2672 2912 3328 3340 3584 3640 3958 4160 4342 4480 4676 5344 5824 5845 6656 6680 7280 7916 8320 8684 8960 9352 9895 10688 10855 11648 11690 13360 13853 14560 15197 15832 16640 17368 17920 18704 19790 21376 21710 23296 23380 25727 26720 27706 29120 30394 31664 33280 34736 37408 39580 42752 43420 46592 46760 51454 53440 55412 58240 60788 63328 69265 69472 74816 75985 79160 85504 86840 93520 102908 106880 110824 116480 121576 126656 128635 138530 138944 149632 151970 158320 173680 180089 187040 205816 213760 221648 232960 243152 253312 257270 277060 277888 299264 303940 316640 330493 347360 360178 374080 411632 427520 443296 486304 506624 514540 554120 555776 598528 607880 633280 660986 694720 720356 748160 823264 886592 900445 972608 1013248 1029080 1108240 1111552 1215760 1266560 1321972 1389440 1440712 1496320 1646528 1652465 1765403 1773184 1800890 1945216 2058160 2216480 2313451 2431520 2533120 2643944 2778880 2881424 2992640 3293056 3304930 3530806 3546368 3601780 3890432 4116320 4296409 4432960 4626902 4863040 5066240 5287888 5557760 5762848 6586112 6609860 7061612 7092736 7203560 7780864 8232640 8592818 8827015 8865920 9253804 9726080 10575776 11525696 11567255 12357821 13172224 13219720 14123224 14407120 16465280 17185636 17654030 17731840 18507608 19452160 21151552 21482045 22950239 23051392 23134510 24715642 26439440 28246448 28814240 30074863 32930560 34371272 35308060 35463680 37015216 38904320 42303104 42964090 45900478 46102784 46269020 49431284 52878880 56492896 57628480 60149726 61789105 65861120 68742544 70616120 74030432 84606208 85928180 91800956 92205568 92538040 98862568 105757760 112985792 114751195 115256960 120299452 123578210 137485088 141232240 148060864 150374315 160651673 169212416 171856360 183601912 185076080 197725136 211515520 225971584 229502390 230513920 240598904 247156420 274970176 282464480 294822301 296121728 300748630 321303346 343712720 367203824 370152160 395450272 423031040 451943168 459004780 461027840 481197808 494312840 549940352 564928960 589644602 592243456 601497260 642606692 687425440 734407648 740304320 790900544 803258365 846062080 903886336 918009560 962395616 988625680 1099880704 1129857920 1179289204 1184486912 1202994520 1285213384 1374850880 1468815296 1474111505 1480608640 1581801088 1606516730 1836019120 1924791232 1977251360 2063756107 2199761408 2259715840 2358578408 2405989040 2570426768 2749701760 2937630592 2948223010 2961217280 3163602176 3213033460 3493732537 3672038240 3832689913 3849582464 3954502720 4127512214 4519431680 4717156816 4811978080 5140853536 5499403520 5875261184 5896446020 5922434560 6327204352 6426066920 6987465074 7344076480 7665379826 7699164928 7909005440 8255024428 9434313632 9623956160 10281707072 10318780535 10998807040 11750522368 11792892040 12852133840 13974930148 14688152960 15330759652 15398329856 15818010880 16510048856 17468662685 18868627264 19163449565 19247912320 20563414144 20637561070 23585784080 24456127759 25704267680 26828829391 27949860296 29376305920 30661519304 31636021760 33020097712 34937325370 37737254528 38326899130 38495824640 41126828288 41275122140 45418522981 47171568160 48912255518 51408535360 53657658782 55899720592 58752611840 61323038608 66040195424 69874650740 75474509056 76653798260 76991649280 82253656576 82550244280 90837045962 94343136320 97824511036 102817070720 107315317564 111799441184 122280638795 122646077216 132080390848 134144146955 139749301480 150949018112 153307596520 165100488560 181674091924 188686272640 195649022072 205634141440 214630635128 223598882368 227092614905 244561277590 245292154432 264160781696 268288293910 279498602960 306615193040 317929660867 330200977120 363348183848 377372545280 391298044144 411268282880 429261270256 447197764736 454185229810 489122555180 490584308864 528321563392 536576587820 558997205920 583453333679 613230386080 635859321734 660401954240 726696367696 754745090560 782596088288 858522540512 894395529472 908370459620 978245110360 981168617728 1056643126784 1073153175640 1117994411840 1166906667358 1226460772160 1271718643468 1320803908480 1453392735392 1565192176576 1589648304335 1717045081024 1788791058944 1816740919240 1956490220720 1962337235456 2146306351280 2235988823680 2333813334716 2452921544320 2543437286936 2641607816960 2906785470784 2917266668395 3130384353152 3179296608670 3434090162048 3633481838480 3912980441440 4084173335753 4292612702560 4471977647360 4667626669432 4905843088640 5086874573872 5283215633920 5813570941568 5834533336790 6260768706304 6358593217340 6868180324096 7266963676960 7584893337827 7825960882880 8168346671506 8585225405120 8943955294720 9335253338864 9811686177280 10173749147744 11627141883136 11669066673580 12521537412608 12717186434680 13736360648192 14533927353920 15169786675654 15651921765760 16336693343012 17170450810240 18670506677728 20347498295488 20420866678765 23254283766272 23338133347160 25434372869360 29067854707840 30339573351308 31303843531520 32673386686024 34340901620480 37341013355456 37924466689135 40694996590976 40841733357530 46676266694320 50868745738720 53094253364789 58135709415680 60679146702616 62607687063040 65346773372048 68681803240960 74682026710912 75848933378270 81389993181952 81683466715060 93352533388640 101737491477440 106188506729578 116271418831360 121358293405232 130693546744096 149364053421824 151697866756540 162779986363904 163366933430120 186705066777280 203474982954880 212377013459156 242716586810464 261387093488192 265471266823945 298728106843648 303395733513080 326733866860240 373410133554560 406949965909760 424754026918312 485433173620928 522774186976384 530942533647890 606791467026160 653467733720480 746820267109120 813899931819520 849508053836624 970866347241856 1045548373952768 1061885067295780 1213582934052320 1306935467440960 1493640534218240 1699016107673248 1941732694483712 2091096747905536 2123770134591560 2427165868104640 2613870934881920 3398032215346496 3883465388967424 4247540269183120 4854331736209280 5227741869763840 6796064430692992 8495080538366240 9708663472418560 10455483739527680 13592128861385984 16990161076732480 19417326944837120 27184257722771968 33980322153464960 67960644306929920 135921288613859840
• Sum of all divisors σ(n): 403704402024591360
• Sum of proper divisors (its aliquot sum) s(n): 267783113410731520
• 135921288613859840 is an abundant number, because the sum of its proper divisors (267783113410731520) is greater than itself. Its abundance is 131861824796871680

Bases of 135921288613859840

• Binary: 111100010111000111011000100011101001111100001001000000000₂
• Hexadecimal: 0x1E2E3B11D3E1200
• Base-36: 116C2PZ50MBK

Squares and roots of 135921288613859840

• 135921288613859840 squared (135921288613859840²) is 18474596698452184585371743164825600
• 135921288613859840 cubed (135921288613859840³) is 2511090989874981508633859566995056447053736443904000
• The square root of 135921288613859840 is 368675044.7397543071
• The cube root of 135921288613859840 is 514157.0886239795

Scales and comparisons

• 135,921,288,613,859,840 seconds is equal to 4,321,876,545 years, 40 weeks, 9 hours, 57 minutes, 20 seconds.
• To count from 1 to 135,921,288,613,859,840 would take you about twelve billion, nine hundred sixty-five million, six hundred twenty-nine thousand, six hundred thirty-seven 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 135921288613859840 cubic inches would be around 42846.4 feet tall.

Recreational maths with 135921288613859840

• 135921288613859840 backwards is 048958316882129531
• The number of decimal digits it has is: 18
• The sum of 135921288613859840's digits is 83
• More coming soon!