138140873914058820000
138,140,873,914,058,820,000 is an even composite number composed of five prime numbers multiplied together.
138140873914058820000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138140873914058820000:
25 × 33 × 54 × 73 × 8636092
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 863609 × 863609)See below for interesting mathematical facts about the number 138140873914058820000 from the Numbermatics database.
Names of 138140873914058820000
- Cardinal: 138140873914058820000 can be written as One hundred thirty-eight quintillion, one hundred forty quadrillion, eight hundred seventy-three trillion, nine hundred fourteen billion, fifty-eight million, eight hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3814087391405882 × 1020
Factors of 138140873914058820000
Divisors of 138140873914058820000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 70 72 75 80 84 90 96 98 100 105 108 112 120 125 126 135 140 144 147 150 160 168 175 180 189 196 200 210 216 224 225 240 245 250 252 270 280 288 294 300 315 336 343 350 360 375 378 392 400 420 432 441 450 480 490 500 504 525 540 560 588 600 625 630 672 675 686 700 720 735 750 756 784 800 840 864 875 882 900 945 980 1000 1008 1029 1050 1080 1120 1125 1176 1200 1225 1250 1260 1323 1350 1372 1400 1440 1470 1500 1512 1568 1575 1680 1715 1750 1764 1800 1875 1890 1960 2000 2016 2058 2100 2160 2205 2250 2352 2400 2450 2500 2520 2625 2646 2700 2744 2800 2940 3000 3024 3087 3150 3360 3375 3430 3500 3528 3600 3675 3750 3780 3920 4000 4116 4200 4320 4375 4410 4500 4704 4725 4900 5000 5040 5145 5250 5292 5400 5488 5600 5625 5880 6000 6048 6125 6174 6300 6615 6750 6860 7000 7056 7200 7350 7500 7560 7840 7875 8232 8400 8575 8750 8820 9000 9261 9450 9800 10000 10080 10290 10500 10584 10800 10976 11025 11250 11760 12000 12250 12348 12600 13125 13230 13500 13720 14000 14112 14700 15000 15120 15435 15750 16464 16800 16875 17150 17500 17640 18000 18375 18522 18900 19600 20000 20580 21000 21168 21600 22050 22500 23520 23625 24500 24696 25200 25725 26250 26460 27000 27440 28000 29400 30000 30240 30625 30870 31500 32928 33075 33750 34300 35000 35280 36000 36750 37044 37800 39200 39375 41160 42000 42336 42875 44100 45000 46305 47250 49000 49392 50400 51450 52500 52920 54000 54880 55125 58800 60000 61250 61740 63000 66150 67500 68600 70000 70560 73500 74088 75600 77175 78750 82320 84000 85750 88200 90000 91875 92610 94500 98000 98784 102900 105000 105840 108000 110250 117600 118125 122500 123480 126000 128625 132300 135000 137200 140000 147000 148176 151200 154350 157500 164640 165375 171500 176400 180000 183750 185220 189000 196000 205800 210000 211680 214375 220500 231525 236250 245000 246960 252000 257250 264600 270000 274400 275625 294000 296352 308700 315000 330750 343000 352800 367500 370440 378000 385875 411600 420000 428750 441000 463050 472500 490000 493920 514500 529200 540000 551250 588000 617400 630000 643125 661500 686000 735000 740880 756000 771750 823200 826875 857500 863609 882000 926100 945000 980000 1029000 1058400 1102500 1157625 1234800 1260000 1286250 1323000 1372000 1470000 1481760 1543500 1653750 1715000 1727218 1764000 1852200 1890000 1929375 2058000 2205000 2315250 2469600 2572500 2590827 2646000 2940000 3087000 3307500 3430000 3454436 3704400 3780000 3858750 4116000 4318045 4410000 4630500 5145000 5181654 5292000 5788125 6045263 6174000 6615000 6860000 6908872 7408800 7717500 7772481 8636090 8820000 9261000 10290000 10363308 11576250 12090526 12348000 12954135 13230000 13817744 15435000 15544962 17272180 18135789 18522000 20580000 20726616 21590225 23152500 23317443 24181052 25908270 26460000 27635488 30226315 30870000 31089924 34544360 36271578 37044000 38862405 41453232 42316841 43180450 46305000 46634886 48362104 51816540 54407367 60452630 61740000 62179848 64770675 69088720 72543156 77724810 82906464 84633682 86360900 90678945 92610000 93269772 96724208 103633080 107951125 108814734 116587215 120905260 124359696 126950523 129541350 138177440 145086312 151131575 155449620 163222101 169267364 172721800 181357890 185220000 186539544 193448416 194312025 207266160 211584205 215902250 217629468 233174430 241810520 248719392 253901046 259082700 272036835 290172624 296217887 302263150 310899240 323853375 326444202 338534728 345443600 362715780 373079088 380851569 388624050 414532320 423168410 431804500 435258936 453394725 466348860 483621040 507802092 518165400 539755625 544073670 580345248 582936075 592435774 604526300 621798480 634752615 647706750 652888404 677069456 690887200 725431560 746158176 755657875 761703138 777248100 816110505 846336820 863609000 870517872 888653661 906789450 932697720 967242080 971560125 1015604184 1036330800 1057921025 1079511250 1088147340 1142554707 1165872150 1184871548 1209052600 1243596960 1269505230 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24668013198939075 25171442039733750 25581643317418300 26103717670835000 26312547412201680 26849538175716000 27408903554376750 27628174782811764 28192015084501800 29236163791335200 29366682379689375 30697971980901960 31324461205002000 31575056894642016 31977054146772875 32890684265252100 33561922719645000 34535218478514705 35240018855627250 36545204739169000 36837566377082352 37589353446002400 38372464976127450 39155576506252500 39468821118302520 40274307263574000 40930629307869280 41113355331565125 43854245687002800 44749230292860000 45681505923961250 46046957971352940 46986691807503000 49336026397878150 50342884079467500 51163286634836600 52207435341670000 52625094824403360 54817807108753500 55256349565623528 56384030169003600 57558697464191175 58733364759378750 61395943961803920 62648922410004000 63954108293545750 65781368530504200 67123845439290000 68522258885941875 69070436957029410 70480037711254500 73090409478338000 73675132754164704 76744929952254900 78311153012505000 78937642236605040 80548614527148000 82226710663130250 87708491374005600 88100047139068125 91363011847922500 92093915942705880 93973383615006000 95931162440318625 98672052795756300 100685768158935000 102326573269673200 104414870683340000 109635614217507000 110512699131247056 112768060338007200 115117394928382350 117466729518757500 122791887923607840 123340065994695375 127908216587091500 131562737061008400 134247690878580000 137044517771883750 138140873914058820 140960075422509000 146180818956676000 153489859904509800 156622306025010000 157875284473210080 159885270733864375 164453421326260500 172676092392573525 176200094278136250 182726023695845000 184187831885411760 187946767230012000 191862324880637250 197344105591512600 201371536317870000 204653146539346400 205566776657825625 219271228435014000 221025398262494112 230234789856764700 234933459037515000 246680131989390750 255816433174183000 263125474122016800 274089035543767500 276281747828117640 281920150845018000 287793487320955875 306979719809019600 313244612050020000 319770541467728750 328906842652521000 345352184785147050 352400188556272500 365452047391690000 368375663770823520 383724649761274500 394688211183025200 402743072635740000 411133553315651250 438542456870028000 460469579713529400 469866918075030000 479655812201593125 493360263978781500 511632866348366000 548178071087535000 552563495656235280 563840301690036000 575586974641911750 613959439618039200 616700329973476875 639541082935457500 657813685305042000 690704369570294100 704800377112545000 730904094783380000 767449299522549000 789376422366050400 822267106631302500 863380461962867625 920939159427058800 939733836150060000 959311624403186250 986720527957563000 1023265732696732000 1096356142175070000 1105126991312470560 1151173949283823500 1233400659946953750 1279082165870915000 1315627370610084000 1381408739140588200 1409600754225090000 1438967436604779375 1534898599045098000 1644534213262605000 1726760923925735250 1841878318854117600 1918623248806372500 1973441055915126000 2192712284350140000 2302347898567647000 2466801319893907500 2558164331741830000 2762817478281176400 2819201508450180000 2877934873209558750 3069797198090196000 3289068426525210000 3453521847851470500 3837246497612745000 3946882111830252000 4316902309814338125 4604695797135294000 4933602639787815000 5116328663483660000 5525634956562352800 5755869746419117500 6578136853050420000 6907043695702941000 7674492995225490000 8633804619628676250 9209391594270588000 9867205279575630000 11511739492838235000 13814087391405882000 15348985990450980000 17267609239257352500 19734410559151260000 23023478985676470000 27628174782811764000 34535218478514705000 46046957971352940000 69070436957029410000 138140873914058820000
- Sum of all divisors σ(n): 587146380701802768000
- Sum of proper divisors (its aliquot sum) s(n): 449005506787743948000
- 138140873914058820000 is an abundant number, because the sum of its proper divisors (449005506787743948000) is greater than itself. Its abundance is 310864632873685128000
Bases of 138140873914058820000
- Binary: 11101111101000101101111100011101100010100011000000001001001101000002
- Hexadecimal: 0x77D16F8EC518049A0
- Base-36: T5J2CX6E1ICO0
Squares and roots of 138140873914058820000
- 138140873914058820000 squared (1381408739140588200002) is 19082901045739896571803246419792400000000
- 138140873914058820000 cubed (1381408739140588200003) is 2636128627274016255404383532008767309409865788968000000000000
-
The
square root of 138140873914058820000 is 11753334587.0037589091 -
The
cube root of 138140873914058820000 is 5169407.0770041375
Scales and comparisons
How big is 138140873914058820000?- 138,140,873,914,058,820,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,140,873,914,058,820,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138140873914058820000 cubic inches would be around 430783.9 feet tall.
Recreational maths with 138140873914058820000
- 138140873914058820000 backwards is 000028850419378041831
- 138140873914058820000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138140873914058820000's digits is 72
- More coming soon!
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"Number 138140873914058820000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 138140873914058820000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138140873914058820000/
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Numbermatics. 2024. "Number 138140873914058820000 - Facts about the integer". https://numbermatics.com/n/138140873914058820000/
The information we have on file for 138140873914058820000 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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