138422968262984704000
138,422,968,262,984,704,000 is an even composite number composed of five prime numbers multiplied together.
138422968262984704000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138422968262984704000:
213 × 53 × 13 × 37 × 5301292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 37 × 530129 × 530129)See below for interesting mathematical facts about the number 138422968262984704000 from the Numbermatics database.
Names of 138422968262984704000
- Cardinal: 138422968262984704000 can be written as One hundred thirty-eight quintillion, four hundred twenty-two quadrillion, nine hundred sixty-eight trillion, two hundred sixty-two billion, nine hundred eighty-four million, seven hundred four thousand.
Scientific notation
- Scientific notation: 1.38422968262984704 × 1020
Factors of 138422968262984704000
Divisors of 138422968262984704000
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 50 52 64 65 74 80 100 104 125 128 130 148 160 185 200 208 250 256 260 296 320 325 370 400 416 481 500 512 520 592 640 650 740 800 832 925 962 1000 1024 1040 1184 1280 1300 1480 1600 1625 1664 1850 1924 2000 2048 2080 2368 2405 2560 2600 2960 3200 3250 3328 3700 3848 4000 4096 4160 4625 4736 4810 5120 5200 5920 6400 6500 6656 7400 7696 8000 8192 8320 9250 9472 9620 10240 10400 11840 12025 12800 13000 13312 14800 15392 16000 16640 18500 18944 19240 20480 20800 23680 24050 25600 26000 26624 29600 30784 32000 33280 37000 37888 38480 40960 41600 47360 48100 51200 52000 53248 59200 60125 61568 64000 66560 74000 75776 76960 83200 94720 96200 102400 104000 106496 118400 120250 123136 128000 133120 148000 151552 153920 166400 189440 192400 204800 208000 236800 240500 246272 256000 266240 296000 303104 307840 332800 378880 384800 416000 473600 481000 492544 512000 530129 532480 592000 615680 665600 757760 769600 832000 947200 962000 985088 1024000 1060258 1184000 1231360 1331200 1515520 1539200 1664000 1894400 1924000 1970176 2120516 2368000 2462720 2650645 2662400 3078400 3328000 3788800 3848000 3940352 4241032 4736000 4925440 5301290 6156800 6656000 6891677 7577600 7696000 8482064 9472000 9850880 10602580 12313600 13253225 13312000 13783354 15392000 16964128 18944000 19614773 19701760 21205160 24627200 26506450 27566708 30784000 33928256 34458385 37888000 39229546 42410320 49254400 53012900 55133416 61568000 66266125 67856512 68916770 78459092 84820640 98073865 98508800 106025800 110266832 123136000 132532250 135713024 137833540 156918184 169641280 172291925 196147730 212051600 220533664 246272000 254992049 265064500 271426048 275667080 313836368 339282560 344583850 392295460 424103200 441067328 490369325 492544000 509984098 530129000 542852096 551334160 627672736 678565120 689167700 784590920 848206400 861459625 882134656 980738650 1019968196 1060258000 1085704192 1102668320 1255345472 1274960245 1357130240 1378335400 1569181840 1696412800 1722919250 1764269312 1961477300 2039936392 2120516000 2171408384 2205336640 2451846625 2510690944 2549920490 2714260480 2756670800 3138363680 3392825600 3445838500 3528538624 3922954600 4079872784 4241032000 4342816768 4410673280 4903693250 5021381888 5099840980 5428520960 5513341600 6276727360 6374801225 6785651200 6891677000 7057077248 7845909200 8159745568 8482064000 8821346560 9807386500 10042763776 10199681960 10857041920 11026683200 12553454720 12749602450 13571302400 13783354000 14114154496 15691818400 16319491136 16964128000 17642693120 19614773000 20085527552 20399363920 21714083840 22053366400 25106909440 25499204900 27142604800 27566708000 28228308992 31383636800 31874006125 32638982272 33928256000 35285386240 39229546000 40171055104 40798727840 44106732800 50213818880 50998409800 54285209600 55133416000 56456617984 62767273600 63748012250 65277964544 67856512000 70570772480 78459092000 80342110208 81597455680 88213465600 100427637760 101996819600 108570419200 110266832000 125534547200 127496024500 130555929088 135713024000 141141544960 156918184000 160684220416 163194911360 176426931200 200855275520 203993639200 220533664000 251069094400 254992049000 261111858176 271426048000 281036756641 282283089920 313836368000 326389822720 352853862400 401710551040 407987278400 441067328000 502138188800 509984098000 522223716352 542852096000 562073513282 627672736000 652779645440 705707724800 803421102080 815974556800 882134656000 1004276377600 1019968196000 1044447432704 1124147026564 1255345472000 1305559290880 1405183783205 1411415449600 1631949113600 1764269312000 2008552755200 2039936392000 2088894865408 2248294053128 2510690944000 2611118581760 2810367566410 3263898227200 3528538624000 3653477836333 4017105510400 4079872784000 4496588106256 5021381888000 5222237163520 5620735132820 6527796454400 7025918916025 7057077248000 7306955672666 8159745568000 8993176212512 10042763776000 10398359995717 10444474327040 11241470265640 13055592908800 14051837832050 14613911345332 16319491136000 17986352425024 18267389181665 20085527552000 20796719991434 22482940531280 26111185817600 28103675664100 29227822690664 32638982272000 35129594580125 35972704850048 36534778363330 41593439982868 44965881062560 51991799978585 52222371635200 56207351328200 58455645381328 65277964544000 70259189160250 71945409700096 73069556726660 83186879965736 89931762125120 91336945908325 103983599957170 112414702656400 116911290762656 130555929088000 135178679944321 140518378320500 143890819400192 146139113453320 166373759931472 179863524250240 182673891816650 207967199914340 224829405312800 233822581525312 259958999892925 261111858176000 270357359888642 281036756641000 287781638800384 292278226906640 332747519862944 359727048500480 365347783633300 415934399828680 449658810625600 456684729541625 467645163050624 519917999785850 540714719777284 562073513282000 575563277600768 584556453813280 665495039725888 675893399721605 719454097000960 730695567266600 831868799657360 899317621251200 913369459083250 935290326101248 1039835999571700 1081429439554568 1124147026564000 1151126555201536 1169112907626560 1299794999464625 1330990079451776 1351786799443210 1438908194001920 1461391134533200 1663737599314720 1798635242502400 1826738918166500 1870580652202496 2079671999143400 2162858879109136 2248294053128000 2302253110403072 2338225815253120 2599589998929250 2661980158903552 2703573598886420 2877816388003840 2922782269066400 3327475198629440 3379466998608025 3597270485004800 3653477836333000 3741161304404992 4159343998286800 4325717758218272 4496588106256000 4676451630506240 5199179997858500 5323960317807104 5407147197772840 5755632776007680 5845564538132800 6654950397258880 6758933997216050 7194540970009600 7306955672666000 7482322608809984 8318687996573600 8651435516436544 8993176212512000 9352903261012480 10398359995717000 10647920635614208 10814294395545680 11511265552015360 11691129076265600 13309900794517760 13517867994432100 14389081940019200 14613911345332000 14964645217619968 16637375993147200 16897334993040125 17302871032873088 17986352425024000 18705806522024960 20796719991434000 21295841271228416 21628588791091360 23382258152531200 26619801589035520 27035735988864200 28778163880038400 29227822690664000 29929290435239936 33274751986294400 33794669986080250 34605742065746176 35972704850048000 37411613044049920 41593439982868000 42591682542456832 43257177582182720 46764516305062400 53239603178071040 54071471977728400 57556327760076800 58455645381328000 66549503972588800 67589339972160500 69211484131492352 71945409700096000 74823226088099840 83186879965736000 85183365084913664 86514355164365440 93529032610124800 106479206356142080 108142943955456800 116911290762656000 133099007945177600 135178679944321000 138422968262984704 143890819400192000 149646452176199680 166373759931472000 173028710328730880 187058065220249600 212958412712284160 216285887910913600 233822581525312000 266198015890355200 270357359888642000 276845936525969408 287781638800384000 332747519862944000 346057420657461760 374116130440499200 425916825424568320 432571775821827200 467645163050624000 532396031780710400 540714719777284000 553691873051938816 665495039725888000 692114841314923520 748232260880998400 865143551643654400 935290326101248000 1064792063561420800 1081429439554568000 1107383746103877632 1330990079451776000 1384229682629847040 1730287103287308800 1870580652202496000 2129584127122841600 2162858879109136000 2661980158903552000 2768459365259694080 3460574206574617600 3741161304404992000 4325717758218272000 5323960317807104000 5536918730519388160 6921148413149235200 8651435516436544000 10647920635614208000 13842296826298470400 17302871032873088000 27684593652596940800 34605742065746176000 69211484131492352000 138422968262984704000
- Sum of all divisors σ(n): 382114577270097964656
- Sum of proper divisors (its aliquot sum) s(n): 243691609007113260656
- 138422968262984704000 is an abundant number, because the sum of its proper divisors (243691609007113260656) is greater than itself. Its abundance is 105268640744128556656
Bases of 138422968262984704000
- Binary: 11110000001000000010010110000111101001001100101111110100000000000002
- Hexadecimal: 0x781012C3D265FA000
- Base-36: T7O7Z0T8RQ9Z4
Squares and roots of 138422968262984704000
- 138422968262984704000 squared (1384229682629847040002) is 19160918142735270601723898537967616000000
- 138422968262984704000 cubed (1384229682629847040003) is 2652311163961492181109232841710599441337734255345664000000000
-
The
square root of 138422968262984704000 is 11765329075.8475899079 -
The
cube root of 138422968262984704000 is 5172923.4608715535
Scales and comparisons
How big is 138422968262984704000?- 138,422,968,262,984,704,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,422,968,262,984,704,000 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 138422968262984704000 cubic inches would be around 431077 feet tall.
Recreational maths with 138422968262984704000
- 138422968262984704000 backwards is 000407489262869224831
- The number of decimal digits it has is: 21
- The sum of 138422968262984704000's digits is 85
- More coming soon!
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The information we have on file for 138422968262984704000 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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