138520488770304800
138,520,488,770,304,800 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138520488770304800 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2304 divisors.
138520488770304800 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138520488770304800:
25 × 52 × 41 × 53 × 89 × 101 × 127 × 223 × 313
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 41 × 53 × 89 × 101 × 127 × 223 × 313)See below for interesting mathematical facts about the number 138520488770304800 from the Numbermatics database.
Names of 138520488770304800
- Cardinal: 138520488770304800 can be written as One hundred thirty-eight quadrillion, five hundred twenty trillion, four hundred eighty-eight billion, seven hundred seventy million, three hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.385204887703048 × 1017
Factors of 138520488770304800
Divisors of 138520488770304800
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 41 50 53 80 82 89 100 101 106 127 160 164 178 200 202 205 212 223 254 265 313 328 356 400 404 410 424 445 446 505 508 530 626 635 656 712 800 808 820 848 890 892 1010 1016 1025 1060 1115 1252 1270 1312 1325 1424 1565 1616 1640 1696 1780 1784 2020 2032 2050 2120 2173 2225 2230 2504 2525 2540 2650 2848 3130 3175 3232 3280 3560 3568 3649 4040 4064 4100 4141 4240 4346 4450 4460 4717 5008 5050 5080 5207 5300 5353 5575 6260 6350 6560 6731 7120 7136 7298 7825 8080 8200 8282 8480 8692 8900 8920 8989 9143 9434 10016 10100 10160 10414 10600 10706 10865 11150 11303 11819 12520 12700 12827 12833 13462 14240 14596 15650 16160 16400 16564 16589 17384 17800 17840 17978 18245 18286 18868 19847 20200 20320 20705 20828 21200 21412 21730 22300 22523 22606 23585 23638 25040 25400 25654 25666 26035 26765 26924 27857 28321 29192 31300 31613 32800 33128 33178 33655 34768 35600 35680 35956 36490 36572 37736 39694 39751 40400 41410 41656 42400 42824 43460 44600 44945 45046 45212 45715 47170 47276 50080 50800 51308 51332 52070 53530 53848 54325 55714 56515 56642 58384 59095 62600 63226 64135 64165 66256 66356 67310 69536 69799 71200 71912 72980 73144 75472 79388 79502 80800 82820 82945 83312 85648 86920 89200 89890 90092 90424 91225 91430 94340 94552 99235 101600 102616 102664 103525 104140 107060 107696 108650 111428 112615 113030 113284 116768 117925 118190 125200 126452 128270 128330 130175 132512 132712 133825 134620 139285 139598 141605 143824 145960 146288 150944 158065 158776 159004 165640 165890 166624 168275 171296 173840 178400 179780 180184 180848 182450 182860 188680 189104 193397 198470 198755 205232 205328 207050 208280 214120 215392 217300 219473 222856 224725 225230 226060 226568 228575 235850 236380 250400 252904 256540 256660 260350 265424 267650 269240 275971 278570 279196 282575 283210 287648 291920 292576 295475 316130 317552 318008 320675 320825 331280 331780 336550 347680 348995 359560 360368 361696 364900 365720 368549 377360 378208 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7782049930916 7968274779700 8350140983200 8362743828200 8446371266482 8571812423905 8851149442192 9490304793800 9727562413645 10289740660400 10794084685600 10799133762400 10907125100024 11063936802740 11720153039200 12255196741600 12423362221552 12749239647520 12938584790800 13067970638708 13301372073200 13633906375030 13714899878248 13829921003425 14683113077200 15150441733600 15409999863200 15529202776940 15564099861832 15936549559400 16334963298385 16725487656400 16892742532964 17143624847810 17702298884384 18980609587600 19411503471175 19455124827290 20579481320800 21115928166205 21814250200048 22127873605480 24846724443104 25877169581600 26135941277416 26602744146400 27267812750060 27429799756496 27659842006850 29366226154400 31058405553880 31128199723664 31873099118800 32669926596770 33450975312800 33785485065928 34084765937575 34287249695620 37961219175200 38823006942350 38910249654580 42231856332410 42859062119525 43628500400096 44255747210960 48637812068225 52271882554832 54535625500120 54859599512992 55319684013700 62116811107760 62256399447328 63746198237600 65339853193540 67570970131856 68169531875150 68574499391240 77646013884700 77820499309160 81674816491925 84463712664820 85718124239050 88511494421920 97275624136450 104543765109664 105579640831025 109071251000240 110639368027400 124233622215520 130679706387080 135141940263712 136339063750300 137148998782480 155292027769400 155640998618320 163349632983850 168927425329640 171436248478100 173150610962881 194551248272900 211159281662050 218142502000480 221278736054800 261359412774160 272678127500600 274297997564960 310584055538800 311281997236640 326699265967700 337854850659280 342872496956200 346301221925762 389102496545800 422318563324100 442557472109600 522718825548320 545356255001200 621168111077600 653398531935400 675709701318560 685744993912400 692602443851524 778204993091600 844637126648200 865753054814405 1090712510002400 1306797063870800 1371489987824800 1385204887703048 1556409986183200 1689274253296400 1731506109628810 2613594127741600 2770409775406096 3378548506592800 3463012219257620 4328765274072025 5540819550812192 6926024438515240 8657530548144050 13852048877030480 17315061096288100 27704097754060960 34630122192576200 69260244385152400 138520488770304800
- Sum of all divisors σ(n): 366079669561589760
- Sum of proper divisors (its aliquot sum) s(n): 227559180791284960
- 138520488770304800 is an abundant number, because the sum of its proper divisors (227559180791284960) is greater than itself. Its abundance is 89038692020980160
Bases of 138520488770304800
- Binary: 1111011000001111110100110100011110100010001111011001000002
- Hexadecimal: 0x1EC1FA68F447B20
- Base-36: 11VXEY1KSZKW
Squares and roots of 138520488770304800
- 138520488770304800 squared (1385204887703048002) is 19187925809164138202854284903040000
- 138520488770304800 cubed (1385204887703048003) is 2657920861573762648801838183182162844899246592000000
-
The
square root of 138520488770304800 is 372183407.4355072589 -
The
cube root of 138520488770304800 is 517413.7969575305
Scales and comparisons
How big is 138520488770304800?- 138,520,488,770,304,800 seconds is equal to 4,404,523,070 years, 46 weeks, 2 days, 10 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,520,488,770,304,800 would take you about thirteen billion, two hundred thirteen million, five hundred sixty-nine thousand, two hundred twelve 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 138520488770304800 cubic inches would be around 43117.8 feet tall.
Recreational maths with 138520488770304800
- 138520488770304800 backwards is 008403077884025831
- The number of decimal digits it has is: 18
- The sum of 138520488770304800's digits is 68
- More coming soon!
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"Number 138520488770304800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 138520488770304800 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138520488770304800/
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Numbermatics. 2024. "Number 138520488770304800 - Facts about the integer". https://numbermatics.com/n/138520488770304800/
The information we have on file for 138520488770304800 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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