135163120041984000
135,163,120,041,984,000 is an even composite number composed of five prime numbers multiplied together.
135163120041984000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 135163120041984000:
217 × 3 × 53 × 373 × 2332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 37 × 37 × 37 × 233 × 233)See below for interesting mathematical facts about the number 135163120041984000 from the Numbermatics database.
Names of 135163120041984000
- Cardinal: 135163120041984000 can be written as One hundred thirty-five quadrillion, one hundred sixty-three trillion, one hundred twenty billion, forty-one million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.35163120041984 × 1017
Factors of 135163120041984000
Divisors of 135163120041984000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 64 74 75 80 96 100 111 120 125 128 148 150 160 185 192 200 222 233 240 250 256 296 300 320 370 375 384 400 444 466 480 500 512 555 592 600 640 699 740 750 768 800 888 925 932 960 1000 1024 1110 1165 1184 1200 1280 1369 1398 1480 1500 1536 1600 1776 1850 1864 1920 2000 2048 2220 2330 2368 2400 2560 2738 2775 2796 2960 3000 3072 3200 3495 3552 3700 3728 3840 4000 4096 4107 4440 4625 4660 4736 4800 5120 5476 5550 5592 5825 5920 6000 6144 6400 6845 6990 7104 7400 7456 7680 8000 8192 8214 8621 8880 9250 9320 9472 9600 10240 10952 11100 11184 11650 11840 12000 12288 12800 13690 13875 13980 14208 14800 14912 15360 16000 16384 16428 17242 17475 17760 18500 18640 18944 19200 20480 20535 21904 22200 22368 23300 23680 24000 24576 25600 25863 27380 27750 27960 28416 29125 29600 29824 30720 32000 32768 32856 34225 34484 34950 35520 37000 37280 37888 38400 40960 41070 43105 43808 44400 44736 46600 47360 48000 49152 50653 51200 51726 54289 54760 55500 55920 56832 58250 59200 59648 61440 64000 65536 65712 68450 68968 69900 71040 74000 74560 75776 76800 81920 82140 86210 87375 87616 88800 89472 93200 94720 96000 98304 101306 102400 102675 103452 108578 109520 111000 111840 113664 116500 118400 119296 122880 128000 129315 131072 131424 136900 137936 139800 142080 148000 149120 151552 151959 153600 162867 163840 164280 171125 172420 174750 175232 177600 178944 186400 189440 192000 196608 202612 204800 205350 206904 215525 217156 219040 222000 223680 227328 233000 236800 238592 245760 253265 256000 258630 262848 271445 273800 275872 279600 284160 296000 298240 303104 303918 307200 318977 325734 327680 328560 342250 344840 349500 350464 355200 357888 372800 378880 384000 393216 405224 409600 410700 413808 431050 434312 438080 444000 447360 454656 466000 473600 477184 491520 506530 512000 513375 517260 525696 542890 547600 551744 559200 568320 592000 596480 606208 607836 614400 637954 646575 651468 655360 657120 684500 689680 699000 700928 710400 715776 745600 757760 759795 768000 810448 814335 819200 821400 827616 862100 868624 876160 888000 894720 909312 932000 947200 954368 956931 983040 1013060 1024000 1026750 1034520 1051392 1077625 1085780 1095200 1103488 1118400 1136640 1184000 1192960 1212416 1215672 1228800 1266325 1275908 1293150 1302936 1314240 1357225 1369000 1379360 1398000 1401856 1420800 1431552 1491200 1515520 1519590 1536000 1594885 1620896 1628670 1638400 1642800 1655232 1724200 1737248 1752320 1776000 1789440 1818624 1864000 1894400 1908736 1913862 1966080 2008693 2026120 2048000 2053500 2069040 2102784 2155250 2171560 2190400 2206976 2236800 2273280 2368000 2385920 2424832 2431344 2457600 2532650 2551816 2586300 2605872 2628480 2714450 2738000 2758720 2796000 2803712 2841600 2863104 2982400 3031040 3039180 3072000 3189770 3232875 3241792 3257340 3276800 3285600 3310464 3448400 3474496 3504640 3552000 3578880 3637248 3728000 3788800 3798975 3817472 3827724 4017386 4052240 4071675 4096000 4107000 4138080 4205568 4310500 4343120 4380800 4413952 4473600 4546560 4736000 4771840 4784655 4849664 4862688 4915200 5065300 5103632 5172600 5211744 5256960 5428900 5476000 5517440 5592000 5607424 5683200 5726208 5964800 6026079 6062080 6078360 6144000 6331625 6379540 6465750 6483584 6514680 6571200 6620928 6786125 6896800 6948992 7009280 7104000 7157760 7274496 7456000 7577600 7597950 7634944 7655448 7974425 8034772 8104480 8143350 8192000 8214000 8276160 8411136 8621000 8686240 8761600 8827904 8947200 9093120 9472000 9543680 9569310 9725376 9830400 10043465 10130600 10207264 10345200 10423488 10513920 10857800 10952000 11034880 11184000 11214848 11366400 11452416 11802149 11929600 12052158 12124160 12156720 12288000 12663250 12759080 12931500 12967168 13029360 13142400 13241856 13572250 13793600 13897984 14018560 14208000 14315520 14548992 14912000 15155200 15195900 15269888 15310896 15948850 16069544 16208960 16286700 16384000 16428000 16552320 16822272 17242000 17372480 17523200 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41808953344 42373939200 43998411472 44473548800 44592984600 45320252160 47208596000 47565850240 48208632000 48341602304 48994867200 49365639168 49793925120 51422540800 51868672000 52261191680 52967424000 53368258560 54998014340 55591936000 55741230750 56650315200 57079020288 59457312800 60427002880 61243584000 61707048960 62242406400 62713430016 64278176000 65326489600 65820852224 65997617208 66710323200 67289088000 68747517925 70623232000 70812894000 71348775360 72512403456 74321641000 75533753600 76105360384 77133811200 77803008000 78391787520 81658112000 82276065280 82497021510 82989875200 83387904000 84747878400 87996822944 88947097600 89185969200 90640504320 94417192000 95131700480 96417264000 96683204608 97989734400 98731278336 99587850240 102845081600 103737344000 104522383360 105934848000 106736517120 109996028680 111183872000 111482461500 113300630400 114158040576 118914625600 120854005760 122487168000 123414097920 124484812800 125426860032 128556352000 130652979200 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439984114720 444735488000 445929846000 453202521600 456632162304 475658502400 483416023040 489948672000 493656391680 497939251200 514225408000 522611916800 527980937664 533682585600 549980143400 566503152000 570790202880 580099227648 594573128000 604270028800 608842883072 617070489600 622424064000 627134300160 653264896000 658208522240 659976172080 667103232000 687475179250 703974583552 713487753600 725124034560 755337536000 761053603840 771338112000 773465636864 783917875200 789850226688 822760652800 824970215100 829898752000 879968229440 889470976000 891859692000 906405043200 913264324608 951317004800 966832046080 979897344000 987312783360 1028450816000 1031212768875 1045223833600 1055961875328 1099960286800 1133006304000 1141580405760 1160198455296 1189146256000 1208540057600 1217685766144 1234140979200 1244848128000 1306529792000 1316417044480 1319952344160 1334206464000 1374950358500 1407949167104 1426975507200 1450248069120 1510675072000 1522107207680 1542676224000 1546931273728 1567835750400 1645521305600 1649940430200 1759936458880 1783719384000 1812810086400 1826528649216 1902634009600 1933664092160 1959794688000 1974625566720 2056901632000 2062425537750 2111923750656 2199920573600 2266012608000 2283160811520 2320396910592 2378292512000 2417080115200 2435371532288 2468281958400 2489696256000 2613059584000 2639904688320 2668412928000 2749900717000 2815898334208 2853951014400 2900496138240 3021350144000 3044214415360 3085352448000 3135671500800 3291042611200 3299880860400 3519872917760 3567438768000 3625620172800 3653057298432 3805268019200 3867328184320 3919589376000 3949251133440 4113803264000 4124851075500 4223847501312 4399841147200 4532025216000 4566321623040 4640793821184 4756585024000 4834160230400 4870743064576 4936563916800 5226119168000 5279809376640 5499801434000 5631796668416 5707902028800 5800992276480 6042700288000 6088428830720 6170704896000 6582085222400 6599761720800 7039745835520 7134877536000 7251240345600 7306114596864 7610536038400 7734656368640 7839178752000 8227606528000 8249702151000 8447695002624 8799682294400 9064050432000 9132643246080 9513170048000 9668320460800 9741486129152 9873127833600 10559618753280 10999602868000 11263593336832 11415804057600 11601984552960 12085400576000 12176857661440 12341409792000 13199523441600 14079491671040 14269755072000 14502480691200 14612229193728 15221072076800 15678357504000 16455213056000 16499404302000 16895390005248 17599364588800 18128100864000 18265286492160 19026340096000 19336640921600 19746255667200 21119237506560 21999205736000 22527186673664 22831608115200 23203969105920 24170801152000 24353715322880 24682819584000 26399046883200 28158983342080 28539510144000 29004961382400 29224458387456 30442144153600 32910426112000 32998808604000 33790780010496 35198729177600 36256201728000 36530572984320 38052680192000 38673281843200 42238475013120 43998411472000 45054373347328 45663216230400 48341602304000 48707430645760 49365639168000 52798093766400 56317966684160 57079020288000 58009922764800 60884288307200 65997617208000 67581560020992 70397458355200 72512403456000 73061145968640 76105360384000 84476950026240 87996822944000 90108746694656 91326432460800 96683204608000 98731278336000 105596187532800 112635933368320 114158040576000 116019845529600 121768576614400 131995234416000 135163120041984 140794916710400 145024806912000 146122291937280 152210720768000 168953900052480 175993645888000 180217493389312 182652864921600 193366409216000 211192375065600 225271866736640 228316081152000 243537153228800 263990468832000 270326240083968 281589833420800 290049613824000 304421441536000 337907800104960 351987291776000 360434986778624 365305729843200 422384750131200 450543733473280 456632162304000 527980937664000 540652480167936 563179666841600 580099227648000 608842883072000 675815600209920 703974583552000 730611459686400 844769500262400 901087466946560 913264324608000 1055961875328000 1081304960335872 1126359333683200 1217685766144000 1351631200419840 1407949167104000 1689539000524800 1802174933893120 1826528649216000 2111923750656000 2252718667366400 2703262400839680 2815898334208000 3379078001049600 3653057298432000 4223847501312000 4505437334732800 5406524801679360 5631796668416000 6758156002099200 8447695002624000 9010874669465600 11263593336832000 13516312004198400 16895390005248000 22527186673664000 27032624008396800 33790780010496000 45054373347328000 67581560020992000 135163120041984000
- Sum of all divisors σ(n): 464308637142692160
- Sum of proper divisors (its aliquot sum) s(n): 329145517100708160
- 135163120041984000 is an abundant number, because the sum of its proper divisors (329145517100708160) is greater than itself. Its abundance is 193982397058724160
Bases of 135163120041984000
- Binary: 1111000000011001000100100001111001101011000000000000000002
- Hexadecimal: 0x1E032243CD60000
- Base-36: 10YVBS54NKLC
Squares and roots of 135163120041984000
- 135163120041984000 squared (1351631200419840002) is 18269069019483776861922656256000000
- 135163120041984000 cubed (1351631200419840003) is 2469304368935776663755282306019439520251904000000000
-
The
square root of 135163120041984000 is 367645372.6649962883 -
The
cube root of 135163120041984000 is 513199.3166545889
Scales and comparisons
How big is 135163120041984000?- 135,163,120,041,984,000 seconds is equal to 4,297,769,130 years, 18 weeks, 2 days, 21 hours, 20 minutes.
-
To count from 1 to 135,163,120,041,984,000 would take you about twelve billion, eight hundred ninety-three million, three hundred seven thousand, three hundred ninety-one 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 135163120041984000 cubic inches would be around 42766.6 feet tall.
Recreational maths with 135163120041984000
- 135163120041984000 backwards is 000489140021361531
- 135163120041984000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135163120041984000's digits is 48
- More coming soon!
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MLA style:
"Number 135163120041984000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 135163120041984000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/135163120041984000/
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The information we have on file for 135163120041984000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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