138237713355168000
138,237,713,355,168,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138237713355168000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138237713355168000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138237713355168000:
28 × 32 × 53 × 7 × 41 × 11873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 41 × 1187 × 1187 × 1187)See below for interesting mathematical facts about the number 138237713355168000 from the Numbermatics database.
Names of 138237713355168000
- Cardinal: 138237713355168000 can be written as One hundred thirty-eight quadrillion, two hundred thirty-seven trillion, seven hundred thirteen billion, three hundred fifty-five million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38237713355168 × 1017
Factors of 138237713355168000
Divisors of 138237713355168000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 41 42 45 48 50 56 60 63 64 70 72 75 80 82 84 90 96 100 105 112 120 123 125 126 128 140 144 150 160 164 168 175 180 192 200 205 210 224 225 240 246 250 252 256 280 287 288 300 315 320 328 336 350 360 369 375 384 400 410 420 448 450 480 492 500 504 525 560 574 576 600 615 630 640 656 672 700 720 738 750 768 800 820 840 861 875 896 900 960 984 1000 1008 1025 1050 1120 1125 1148 1152 1187 1200 1230 1260 1280 1312 1344 1400 1435 1440 1476 1500 1575 1600 1640 1680 1722 1750 1792 1800 1845 1920 1968 2000 2016 2050 2100 2240 2250 2296 2304 2374 2400 2460 2520 2583 2624 2625 2688 2800 2870 2880 2952 3000 3075 3150 3200 3280 3360 3444 3500 3561 3600 3690 3840 3936 4000 4032 4100 4200 4305 4480 4500 4592 4748 4800 4920 5040 5125 5166 5248 5250 5376 5600 5740 5760 5904 5935 6000 6150 6300 6400 6560 6720 6888 7000 7122 7175 7200 7380 7872 7875 8000 8064 8200 8309 8400 8610 8960 9000 9184 9225 9496 9600 9840 10080 10250 10332 10496 10500 10683 11200 11480 11520 11808 11870 12000 12300 12600 12915 13120 13440 13776 14000 14244 14350 14400 14760 15375 15744 15750 16000 16128 16400 16618 16800 17220 17805 18000 18368 18450 18992 19200 19680 20160 20500 20664 21000 21366 21525 22400 22960 23616 23740 24000 24600 24927 25200 25830 26240 26880 27552 28000 28488 28700 28800 29520 29675 30750 31488 31500 32000 32800 33236 33600 34440 35610 35875 36000 36736 36900 37984 39360 40320 41000 41328 41545 42000 42732 43050 44800 45920 46125 47232 47480 48000 48667 49200 49854 50400 51660 52480 53415 55104 56000 56976 57400 57600 59040 59350 61500 63000 64575 65600 66472 67200 68880 71220 71750 72000 73472 73800 74781 75968 78720 80640 82000 82656 83090 84000 85464 86100 89025 91840 92250 94464 94960 96000 97334 98400 99708 100800 103320 106830 107625 110208 112000 113952 114800 118080 118700 123000 124635 126000 129150 131200 132944 134400 137760 142440 143500 144000 146001 147600 148375 149562 151936 157440 164000 165312 166180 168000 170928 172200 178050 183680 184500 189920 194668 196800 199416 201600 206640 207725 213660 215250 220416 224000 227904 229600 236160 237400 243335 246000 249270 252000 258300 262400 265888 267075 275520 284880 287000 288000 292002 295200 296750 299124 303872 322875 328000 330624 332360 336000 340669 341856 344400 356100 367360 369000 373905 379840 389336 393600 398832 403200 413280 415450 427320 430500 438003 445125 455808 459200 472320 474800 486670 492000 498540 504000 516600 531776 534150 551040 569760 574000 584004 590400 593500 598248 623175 645750 656000 661248 664720 672000 681338 683712 688800 712200 730005 738000 747810 759680 778672 787200 797664 826560 830900 854640 861000 876006 890250 911616 918400 949600 973340 984000 997080 1008000 1022007 1033200 1038625 1063552 1068300 1102080 1139520 1148000 1168008 1180800 1187000 1196496 1216675 1246350 1291500 1312000 1329440 1335375 1362676 1367424 1377600 1408969 1424400 1460010 1476000 1495620 1519360 1557344 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5017338609000 5142772074225 5268205539450 5351827849600 5485623545840 5545701984000 5619419242080 5759904723132 5822987083200 5853561710500 6020806330800 6171326489070 6422193419520 6469985648000 6582748255008 6689784812000 6743303090496 6857029432300 7024274052600 7199880903915 7278733854000 7492558989440 7526007913500 7679872964176 7763982777600 8027741774400 8228435318760 8318552976000 8429128863120 8571286790375 8639857084698 8776997673344 8780342565750 8991070787328 9365698736800 9599841205220 9633290129280 9704978472000 9874122382512 10034677218000 10285544148450 10536411078900 10703655699200 10971247091680 11238838484160 11519809446264 11645974166400 11707123421000 11999801506525 12041612661600 12342652978140 12939971296000 13165496510016 13170513848625 13379569624000 13486606180992 13714058864600 14048548105200 14399761807830 14557467708000 14985117978880 15052015827000 15359745928352 15428316222675 16055483548800 16456870637520 16637105952000 16858257726240 17142573580750 17279714169396 17553995346688 17560685131500 18731397473600 19199682410440 19266580258560 19409956944000 19748244765024 20069354436000 20571088296900 21072822157800 21599642711745 21942494183360 22477676968320 23039618892528 23291948332800 23414246842000 23999603013050 24083225323200 24685305956280 25713860371125 26330993020032 26341027697250 26759139248000 26973212361984 27428117729200 28097096210400 28799523615660 29114935416000 30104031654000 30719491856704 30856632445350 32110967097600 32913741275040 33716515452480 34285147161500 34559428338792 35121370263000 35999404519575 37462794947200 38399364820880 38819913888000 39496489530048 40138708872000 41142176593800 42145644315600 43199285423490 43884988366720 44955353936640 46079237785056 46828493684000 47999206026100 48166450646400 49370611912560 51427720742250 52661986040064 52682055394500 53518278496000 54856235458400 56194192420800 57599047231320 58229870832000 59999007532625 60208063308000 61438983713408 61713264890700 65827482550080 67433030904960 68570294323000 69118856677584 70242740526000 71998809039150 74925589894400 76798729641760 77141581113375 78992979060096 80277417744000 82284353187600 84291288631200 86398570846980 87769976733440 92158475570112 93656987368000 95998412052200 96332901292800 98741223825120 102855441484500 105364110789000 107998213558725 109712470916800 112388384841600 115198094462640 116459741664000 119998015065250 120416126616000 122877967426816 123426529781400 131654965100160 134866061809920 137140588646000 138237713355168 140485481052000 143997618078300 153597459283520 154283162226750 157985958120192 160554835488000 164568706375200 168582577262400 172797141693960 179997022597875 184316951140224 187313974736000 191996824104400 197482447650240 205710882969000 210728221578000 215996427117450 219424941833600 224776769683200 230396188925280 239996030130500 240832253232000 246853059562800 263309930200320 274281177292000 276475426710336 280970962104000 287995236156600 307194918567040 308566324453500 329137412750400 337165154524800 345594283387920 359994045195750 368633902280448 374627949472000 383993648208800 394964895300480 411421765938000 421456443156000 431992854234900 438849883667200 460792377850560 479992060261000 481664506464000 493706119125600 539991067793625 548562354584000 552950853420672 561941924208000 575990472313200 614389837134080 617132648907000 658274825500800 674330309049600 691188566775840 719988090391500 767987296417600 789929790600960 822843531876000 842912886312000 863985708469800 921584755701120 959984120522000 987412238251200 1079982135587250 1097124709168000 1105901706841344 1123883848416000 1151980944626400 1234265297814000 1316549651001600 1382377133551680 1439976180783000 1535974592835200 1645687063752000 1685825772624000 1727971416939600 1843169511402240 1919968241044000 1974824476502400 2159964271174500 2194249418336000 2303961889252800 2468530595628000 2764754267103360 2879952361566000 3071949185670400 3291374127504000 3371651545248000 3455942833879200 3839936482088000 3949648953004800 4319928542349000 4607923778505600 4937061191256000 5529508534206720 5759904723132000 6582748255008000 6911885667758400 7679872964176000 8639857084698000 9215847557011200 9874122382512000 11519809446264000 13823771335516800 15359745928352000 17279714169396000 19748244765024000 23039618892528000 27647542671033600 34559428338792000 46079237785056000 69118856677584000 138237713355168000
- Sum of all divisors σ(n): 582835927537543680
- Sum of proper divisors (its aliquot sum) s(n): 444598214182375680
- 138237713355168000 is an abundant number, because the sum of its proper divisors (444598214182375680) is greater than itself. Its abundance is 306360500827207680
Bases of 138237713355168000
- Binary: 1111010110001111001110111110001110001100011011001000000002
- Hexadecimal: 0x1EB1E77C718D900
- Base-36: 11T56GT7OE80
Squares and roots of 138237713355168000
- 138237713355168000 squared (1382377133551680002) is 19109665393665593227712308224000000
- 138237713355168000 cubed (1382377133551680003) is 2641676447002717933124659126336976799301632000000000
-
The
square root of 138237713355168000 is 371803326.1755037069 -
The
cube root of 138237713355168000 is 517061.4746504107
Scales and comparisons
How big is 138237713355168000?- 138,237,713,355,168,000 seconds is equal to 4,395,531,687 years, 19 weeks, 2 days, 8 hours.
-
To count from 1 to 138,237,713,355,168,000 would take you about thirteen billion, one hundred eighty-six million, five hundred ninety-five thousand and sixty-two 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 138237713355168000 cubic inches would be around 43088.5 feet tall.
Recreational maths with 138237713355168000
- 138237713355168000 backwards is 000861553317732831
- 138237713355168000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138237713355168000's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138237713355168000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 138237713355168000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/138237713355168000/
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The information we have on file for 138237713355168000 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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