146133961862928000

Names of 146133961862928000

• Cardinal: 146133961862928000 can be written as One hundred forty-six quadrillion, one hundred thirty-three trillion, nine hundred sixty-one billion, eight hundred sixty-two million, nine hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 1.46133961862928 × 10¹⁷

Factors of 146133961862928000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 525792

Divisors of 146133961862928000

• Number of divisors d(n): 1024
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 192 195 200 208 240 250 260 300 312 320 325 375 384 390 400 416 421 480 500 520 600 624 640 650 750 780 800 832 842 960 975 1000 1040 1061 1200 1248 1263 1300 1500 1560 1600 1625 1664 1684 1920 1950 2000 2080 2105 2122 2400 2496 2526 2600 3000 3120 3183 3200 3250 3368 3900 4000 4160 4210 4244 4800 4875 4992 5052 5200 5305 5473 6000 6240 6315 6366 6500 6736 7800 8000 8320 8420 8488 9600 9750 10104 10400 10525 10610 10946 12000 12480 12630 12732 13000 13472 13793 15600 15915 16000 16419 16840 16976 19500 20208 20800 21050 21220 21892 24000 24960 25260 25464 26000 26525 26944 27365 27586 31200 31575 31830 32838 33680 33952 39000 40416 41379 41600 42100 42440 43784 48000 50520 50928 52000 52625 53050 53888 54730 55172 62400 63150 63660 65676 67360 67904 68965 78000 79575 80832 82095 82758 84200 84880 87568 101040 101856 104000 105250 106100 109460 110344 124800 126300 127320 131352 132625 134720 135808 136825 137930 156000 157875 159150 161664 164190 165516 168400 169760 175136 202080 203712 206895 208000 210500 212200 218920 220688 252600 254640 262704 265250 269440 273650 275860 312000 315750 318300 328380 331032 336800 339520 344825 350272 397875 404160 407424 410475 413790 421000 424400 437840 441376 446681 505200 509280 524287 525408 530500 547300 551720 624000 631500 636600 656760 662064 673600 679040 684125 689650 700544 795750 808320 820950 827580 842000 848800 875680 882752 893362 1010400 1018560 1034475 1048574 1050816 1061000 1094600 1103440 1263000 1273200 1313520 1324128 1340043 1347200 1368250 1379300 1572861 1591500 1641900 1655160 1684000 1697600 1724125 1751360 1765504 1786724 2020800 2037120 2052375 2068950 2097148 2101632 2122000 2189200 2206880 2233405 2526000 2546400 2621435 2627040 2648256 2680086 2736500 2758600 3145722 3183000 3283800 3310320 3368000 3395200 3448250 3502720 3573448 4041600 4104750 4137900 4194296 4244000 4378400 4413760 4466810 5052000 5092800 5172375 5242870 5254080 5296512 5360172 5473000 5517200 5806853 6291444 6366000 6567600 6620640 6700215 6736000 6815731 6896500 7146896 7864305 8209500 8275800 8388592 8488000 8756800 8827520 8933620 10104000 10185600 10344750 10485740 10508160 10720344 10946000 11034400 11167025 11613706 12582888 12732000 13107175 13135200 13241280 13400430 13631462 13793000 14293792 15728610 16419000 16551600 16777184 16976000 17420559 17513600 17867240 20208000 20447193 20689500 20971480 21440688 21892000 22068800 22334050 23227412 25165776 25464000 26214350 26270400 26482560 26800860 27262924 27586000 28587584 29034265 31457220 32838000 33103200 33501075 33554368 34078655 34841118 35734480 39321525 40894386 41379000 41942960 42881376 43784000 44137600 44668100 46454824 50331552 50928000 52428700 52540800 53601720 54525848 55172000 55835125 57175168 58068530 62914440 65535875 65676000 66206400 67002150 67108736 68157310 69682236 71468960 78643050 81788772 82758000 83885920 85762752 87102795 87568000 89336200 92909648 100663104 102235965 104857400 107203440 109051696 110344000 111670250 116137060 125828880 131071750 131352000 132412800 134004300 136314620 139364472 142937920 145171325 157286100 163577544 165516000 167505375 167771840 170393275 171525504 174205590 178672400 185819296 196607625 201326208 204471930 209714800 214406880 218103392 220688000 220724827 223340500 232274120 251657760 262143500 262704000 268008600 272629240 278728944 285875840 290342650 314572200 327155088 331032000 335010750 335543680 340786550 348411180 357344800 371638592 393215250 408943860 419429600 428813760 435513975 436206784 441449654 446681000 464548240 503315520 511179825 524287000 536017200 545258480 556268507 557457888 580685300 629144400 654310176 662064000 662174481 670021500 681573100 696822360 714689600 725856625 743277184 786430500 817887720 838859200 851966375 857627520 871027950 872413568 882899308 893362000 929096480 1006631040 1022359650 1048574000 1072034400 1090516960 1103624135 1112537014 1114915776 1161370600 1258288800 1308620352 1324348962 1340043000 1363146200 1393644720 1429379200 1451713250 1572861000 1635775440 1668805521 1677718400 1703932750 1742055900 1765798616 1786724000 1858192960 2044719300 2097148000 2144068800 2177569875 2181033920 2207248270 2225074028 2229831552 2322741200 2516577600 2555899125 2617240704 2648697924 2680086000 2726292400 2781342535 2787289440 2869422751 2903426500 3145722000 3271550880 3310872405 3337611042 3407865500 3484111800 3531597232 3573448000 3716385920 4089438600 4194296000 4288137600 4355139750 4362067840 4414496540 4450148056 4645482400 5033155200 5111798250 5297395848 5360172000 5452584800 5518120675 5562685070 5574578880 5738845502 5806853000 6291444000 6543101760 6621744810 6675222084 6815731000 6968223600 7063194464 7146896000 7231490591 8178877200 8344027605 8388592000 8608268253 8710279500 8828993080 8900296112 9290964800 10223596500 10594791696 10720344000 10905169600 11036241350 11125370140 11149157760 11477691004 11613706000 12582888000 13086203520 13243489620 13350444168 13631462000 13906712675 13936447200 14126388928 14347113755 14462981182 16357754400 16554362025 16688055210 17216536506 17420559000 17657986160 17800592224 18581929600 20447193000 21189583392 21440688000 21694471773 21810339200 22072482700 22250740280 22955382008 23227412000 25165776000 26486979240 26700888336 27262924000 27590603375 27813425350 27872894400 28252777856 28694227510 28925962364 32715508800 33108724050 33376110420 34433073012 34841118000 35315972320 35601184448 36157452955 40894386000 41720138025 42379166784 43041341265 43388943546 44144965400 44501480560 45910764016 46454824000 52973958480 53401776672 54525848000 55181206750 55626850700 55745788800 57388455020 57851924728 65431017600 66217448100 66752220840 68866146024 69533563375 69682236000 70631944640 71202368896 71735568775 72314905910 81788772000 82771810125 83440276050 84758333568 86082682530 86777887092 88289930800 89002961120 91821528032 92909648000 105947916960 106803553344 108472358865 109051696000 110362413500 111253701400 114776910040 115703849456 132434896200 133504441680 137732292048 139067126750 139364472000 141263889280 143471137550 144629811820 163577544000 165543620250 166880552100 172165365060 173555774184 176579861600 178005922240 180787264775 183643056064 208600690125 211895833920 213607106688 215206706325 216944717730 220724827000 222507402800 229553820080 231407698912 234189041447 264869792400 267008883360 275464584096 278134253500 278728944000 286942275100 289259623640 327155088000 331087240500 333761104200 344330730120 347111548368 353159723200 356011844480 358677843875 361574529550 367286112128 417201380250 423791667840 430413412650 433889435460 441449654000 445014805600 459107640160 462815397824 468378082894 529739584800 534017766720 542361794325 550929168192 556268507000 573884550200 578519247280 662174481000 667522208400 688661460240 694223096736 702567124341 706319446400 717355687750 723149059100 834402760500 860826825300 867778870920 882899308000 890029611200 903936323875 918215280320 925630795648 936756165788 1059479169600 1068035533440 1076033531625 1084723588650 1101858336384 1112537014000 1147769100400 1157038494560 1170945207235 1324348962000 1335044416800 1377322920480 1388446193472 1405134248682 1434711375500 1446298118200 1668805521000 1721653650600 1735557741840 1765798616000 1780059222400 1807872647750 1836430560640 1873512331576 2118958339200 2152067063250 2169447177300 2225074028000 2295538200800 2314076989120 2341890414470 2648697924000 2670088833600 2711808971625 2754645840960 2776892386944 2810268497364 2869422751000 2892596236400 3044457538811 3337611042000 3443307301200 3471115483680 3512835621705 3531597232000 3615745295500 3747024663152 4304134126500 4338894354600 4450148056000 4591076401600 4628153978240 4683780828940 5297395848000 5340177667200 5423617943250 5509291681920 5620536994728 5738845502000 5785192472800 5854726036175 6088915077622 6675222084000 6886614602400 6942230967360 7025671243410 7231490591000 7494049326304 8608268253000 8677788709200 8900296112000 9133372616433 9182152803200 9367561657880 10594791696000 10847235886500 11241073989456 11477691004000 11570384945600 11709452072350 12177830155244 13350444168000 13773229204800 13884461934720 14051342486820 14462981182000 14988098652608 15222287694055 17216536506000 17355577418400 17564178108525 18266745232866 18735123315760 21694471773000 22482147978912 22955382008000 23140769891200 23418904144700 24355660310488 26700888336000 27546458409600 28102684973640 28925962364000 29273630180875 29976197305216 30444575388110 34433073012000 34711154836800 35128356217050 36533490465732 37470246631520 43388943546000 44964295957824 45666863082165 45910764016000 46837808289400 48711320620976 56205369947280 57851924728000 58547260361750 60889150776220 68866146024000 69422309673600 70256712434100 73066980931464 74940493263040 76111438470275 86777887092000 87820890542625 89928591915648 91333726164330 93675616578800 97422641241952 112410739894560 115703849456000 117094520723500 121778301552440 137732292048000 140513424868200 146133961862928 149880986526080 152222876940550 173555774184000 175641781085250 182667452328660 187351233157600 194845282483904 224821479789120 228334315410825 234189041447000 243556603104880 281026849736400 292267923725856 304445753881100 347111548368000 351283562170500 365334904657320 374702466315200 380557192351375 389690564967808 449642959578240 456668630821650 468378082894000 487113206209760 562053699472800 584535847451712 608891507762200 702567124341000 730669809314640 749404932630400 761114384702750 913337261643300 936756165788000 974226412419520 1124107398945600 1141671577054125 1169071694903424 1217783015524400 1405134248682000 1461339618629280 1522228769405500 1826674523286600 1873512331576000 1948452824839040 2248214797891200 2283343154108250 2435566031048800 2810268497364000 2922679237258560 3044457538811000 3653349046573200 3747024663152000 4566686308216500 4871132062097600 5620536994728000 5845358474517120 6088915077622000 7306698093146400 9133372616433000 9742264124195200 11241073989456000 12177830155244000 14613396186292800 18266745232866000 24355660310488000 29226792372585600 36533490465732000 48711320620976000 73066980931464000 146133961862928000
• Sum of all divisors σ(n): 523431302670581760
• Sum of proper divisors (its aliquot sum) s(n): 377297340807653760
• 146133961862928000 is an abundant number, because the sum of its proper divisors (377297340807653760) is greater than itself. Its abundance is 231163378944725760

Bases of 146133961862928000

• Binary: 1000000111001011000001000001100110011101011101011010000000₂
• Hexadecimal: 0x2072C106675D680
• Base-36: 13YW5ZAQ3PMO

Squares and roots of 146133961862928000

• 146133961862928000 squared (146133961862928000²) is 21355134809755695140260733184000000
• 146133961862928000 cubed (146133961862928000³) is 3120710455866524944267614008936975789002752000000000
• The square root of 146133961862928000 is 382274720.4078867679
• The cube root of 146133961862928000 is 526724.7425808549

Scales and comparisons

• 146,133,961,862,928,000 seconds is equal to 4,646,607,965 years, 11 weeks, 2 days, 10 hours, 40 minutes.
• To count from 1 to 146,133,961,862,928,000 would take you about thirteen billion, nine hundred thirty-nine million, eight hundred twenty-three thousand, eight hundred ninety-five 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 146133961862928000 cubic inches would be around 43893.7 feet tall.

Recreational maths with 146133961862928000

• 146133961862928000 backwards is 000829268169331641
• The number of decimal digits it has is: 18
• The sum of 146133961862928000's digits is 69
• More coming soon!