13738258494291968
13,738,258,494,291,968 is an even composite number composed of six prime numbers multiplied together.
What does the number 13738258494291968 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13738258494291968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13738258494291968:
215 × 7 × 13 × 31 × 732 × 1672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 31 × 73 × 73 × 167 × 167)See below for interesting mathematical facts about the number 13738258494291968 from the Numbermatics database.
Names of 13738258494291968
- Cardinal: 13738258494291968 can be written as Thirteen quadrillion, seven hundred thirty-eight trillion, two hundred fifty-eight billion, four hundred ninety-four million, two hundred ninety-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3738258494291968 × 1016
Factors of 13738258494291968
Divisors of 13738258494291968
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 73 91 104 112 124 128 146 167 182 208 217 224 248 256 292 334 364 403 416 434 448 496 511 512 584 668 728 806 832 868 896 949 992 1022 1024 1168 1169 1336 1456 1612 1664 1736 1792 1898 1984 2044 2048 2171 2263 2336 2338 2672 2821 2912 3224 3328 3472 3584 3796 3968 4088 4096 4342 4526 4672 4676 5177 5329 5344 5642 5824 6448 6643 6656 6944 7168 7592 7936 8176 8192 8684 9052 9344 9352 10354 10658 10688 11284 11648 12191 12896 13286 13312 13888 14336 15184 15197 15841 15872 16352 16384 17368 18104 18688 18704 20708 21316 21376 22568 23296 24382 25792 26572 26624 27776 27889 28672 29419 30368 30394 31682 31744 32704 32768 34736 36208 36239 37303 37376 37408 41416 42632 42752 45136 46592 48764 51584 53144 53248 55552 55778 57344 58838 60736 60788 63364 63488 65408 67301 69277 69472 72416 72478 74606 74752 74816 82832 85264 85337 85504 90272 93184 97528 103168 106288 106496 111104 111556 114688 117676 121472 121576 126728 126976 130816 134602 138554 138944 144832 144956 149212 149504 149632 158483 165199 165664 170528 170674 171008 180544 186368 195056 195223 205933 206336 212576 212992 222208 223112 229376 235352 242944 243152 253456 253952 261632 269204 277108 277888 289664 289912 298424 299008 299264 316966 330398 331328 341056 341348 342016 361088 362557 372736 377921 390112 390446 411866 412672 425152 425984 444416 446224 470704 471107 484939 485888 486304 506912 507904 523264 538408 554216 555776 579328 579824 596848 598016 598528 633932 660796 662656 682112 682696 684032 722176 725114 745472 755842 780224 780892 823732 825344 850304 864559 888832 889943 892448 941408 942214 969878 971776 972608 1013824 1015808 1046528 1076816 1108432 1109381 1111552 1156393 1158656 1159648 1193696 1196032 1197056 1267864 1321592 1325312 1364224 1365392 1368064 1444352 1450228 1490944 1511684 1560448 1561784 1647464 1650688 1700608 1729118 1777664 1779886 1784896 1882816 1884428 1939756 1943552 1945216 2027648 2035897 2093056 2147587 2153632 2216864 2218762 2223104 2312786 2317312 2319296 2387392 2392064 2394112 2535728 2537899 2643184 2645447 2650624 2728448 2730784 2736128 2888704 2900456 2981888 3023368 3120896 3123568 3294928 3301376 3401216 3458236 3555328 3559772 3569792 3765632 3768856 3879512 3887104 3890432 4055296 4071794 4186112 4295174 4307264 4433728 4437524 4446208 4625572 4634624 4638592 4774784 4788224 4912973 5071456 5075798 5286368 5290894 5301248 5456896 5461568 5472256 5777408 5800912 6046736 6051913 6229601 6241792 6247136 6589856 6602752 6802432 6916472 7110656 7119544 7139584 7531264 7537712 7759024 7774208 7780864 8110592 8143588 8372224 8590348 8614528 8867456 8875048 8892416 9251144 9269248 9277184 9549568 9576448 9825946 10142912 10151596 10572736 10581788 10602496 10913792 10923136 11239267 11554816 11569259 11601824 12093472 12103826 12459202 12483584 12494272 13179712 13205504 13604864 13832944 14239088 14251279 14279168 15033109 15062528 15075424 15518048 15548416 15561728 16221184 16287176 16744448 17180696 17229056 17734912 17750096 17784832 18502288 18538496 18554368 19099136 19152896 19651892 20285824 20303192 21145472 21163576 21204992 21827584 21846272 22478534 23109632 23138518 23203648 24186944 24207652 24918404 24967168 24988544 26359424 26466661 27209728 27588233 27665888 28478176 28502558 28558336 30066218 30125056 30150848 31036096 31096832 31123456 32442368 32574352 34361392 34390811 34458112 35469824 35500192 35569664 37004576 37076992 37108736 38198272 38305792 39303784 40571648 40606384 42290944 42327152 42409984 43655168 43692544 44957068 46219264 46277036 46407296 48373888 48415304 49836808 49934336 49977088 52718848 52933322 54419456 55176466 55331776 56956352 57005116 57116672 60132436 60250112 60301696 62072192 62246912 63112807 64884736 65148704 68722784 68781622 68916224 70939648 71000384 71139328 74009152 74153984 74217472 76396544 78607568 78674869 80984813 81143296 81212768 84581888 84654304 84819968 87310336 87385088 89914136 92438528 92554072 92814592 96747776 96830608 99673616 99868672 99954176 105437696 105866644 108838912 110352932 110663552 113912704 114010232 114233344 120264872 120500224 120603392 124144384 124493824 126225614 129769472 130297408 137445568 137563244 137832448 141879296 142000768 148018304 148434944 148620481 152793088 157215136 157349738 161969626 162286592 162425536 169163776 169308608 169639936 174620672 174770176 179828272 185108144 185266627 185629184 193117631 193495552 193661216 199347232 199737344 199908352 210875392 211733288 217677824 220705864 221327104 227825408 228020464 228466688 240529744 241000448 241206784 248288768 248987648 252451228 259538944 260594816 274891136 275126488 275664896 283758592 284001536 296036608 296869888 297240962 305586176 314430272 314699476 323939252 324573184 324851072 338327552 338617216 349540352 358647029 359656544 370216288 370533254 371258368 386235262 386991104 387322432 398694464 399474688 399816704 421750784 423466576 441411728 441789649 442654208 455650816 456040928 456933376 481059488 482000896 482413568 496577536 497975296 504902456 519077888 521189632 549782272 550252976 551329792 567517184 568003072 592073216 593739776 594481924 611172352 628860544 629398952 647878504 649146368 649702144 676655104 677234432 699080704 717294058 719313088 740432576 741066508 742516736 772470524 773982208 774644864 797388928 799633408 820466491 843501568 846933152 882823456 883579298 885308416 911301632 912081856 913866752 962118976 964001792 964827136 993155072 1009804912 1040343367 1042379264 1099564544 1100505952 1102659584 1135034368 1136006144 1184146432 1187479552 1188963848 1222344704 1257721088 1258797904 1295757008 1298292736 1299404288 1353310208 1354468864 1398161408 1434588116 1438626176 1480865152 1482133016 1485033472 1544941048 1547964416 1549289728 1594777856 1599266816 1640932982 1687003136 1693866304 1765646912 1767158596 1770616832 1822603264 1824163712 1924237952 1929654272 1932066253 1986310144 2019609824 2080686734 2084758528 2199129088 2201011904 2205319168 2270068736 2272012288 2368292864 2377927696 2510529203 2515442176 2517595808 2591514016 2596585472 2598808576 2706620416 2708937728 2796322816 2869176232 2877252352 2961730304 2964266032 2970066944 3089882096 3095928832 3098579456 3189555712 3198533632 3281865964 3374006272 3387732608 3531293824 3534317192 3541233664 3645206528 3648327424 3848475904 3859308544 3864132506 3972620288 4039219648 4161373468 4169517056 4398258176 4402023808 4544024576 4607234911 4736585728 4755855392 5021058406 5030884352 5035191616 5183028032 5193170944 5197617152 5413240832 5417875456 5738352464 5743265437 5754504704 5923460608 5928532064 5940133888 6179764192 6191857664 6197158912 6379111424 6397067264 6563731928 6748012544 6775465216 7062587648 7068634384 7082467328 7290413056 7296654848 7696951808 7718617088 7728265012 7945240576 8078439296 8322746936 8339034112 8796516352 8804047616 9088049152 9214469822 9473171456 9511710784 10042116812 10061768704 10070383232 10366056064 10395234304 10835750912 11476704928 11486530874 11509009408 11846921216 11857064128 11880267776 12359528384 12383715328 12394317824 12758222848 13127463856 13524463771 13550930432 14125175296 14137268768 14164934656 14580826112 14593309696 15393903616 15437234176 15456530024 15890481152 16156878592 16645493872 16678068224 17593032704 17608095232 18176098304 18428939644 18946342912 19023421568 20084233624 20123537408 20140766464 20732112128 20790468608 21671501824 22953409856 22973061748 23018018816 23693842432 23714128256 24719056768 24788635648 25516445696 26254927712 27048927542 27101860864 28250350592 28274537536 28329869312 29161652224 29186619392 30787807232 30913060048 32250644377 32313757184 33290987744 33356136448 35186065408 35216190464 36352196608 36857879288 37892685824 38046843136 40168467248 40247074816 40281532928 41464224256 41580937216 43343003648 45906819712 45946123496 46036037632 47387684864 47428256512 49438113536 49577271296 51032891392 52509855424 54097855084 54203721728 56500701184 56549075072 58373238784 59894053843 61575614464 61826120096 64501288754 64627514368 66581975488 66712272896 70372130816 70432380928 73715758576 76093686272 80336934496 80494149632 80563065856 82928448512 83161874432 86686007296 91813639424 91892246992 92072075264 94775369728 94856513024 98876227072 99154542592 102065782784 105019710848 108195710168 108407443456 113001402368 113098150144 116746477568 119788107686 123151228928 123652240192 129002577508 129255028736 133163950976 140864761856 147431517152 152187372544 160673868992 160988299264 161126131712 165856897024 183627278848 183784493984 184144150528 189550739456 189713026048 197752454144 198309085184 204131565568 210039421696 216391420336 216814886912 226002804736 226196300288 233492955136 239576215372 246302457856 247304480384 258005155016 258510057472 266327901952 281729523712 294863034304 304374745088 321347737984 322252263424 331713794048 367254557696 367568987968 368288301056 379101478912 379426052096 395504908288 419258376901 420078843392 432782840672 433629773824 452005609472 452392600576 466985910272 479152430744 492604915712 494608960768 516010310032 517020114944 532655803904 563459047424 589726068608 608749490176 642695475968 644504526848 663427588096 734509115392 735137975936 758852104192 791009816576 838516753802 840157686784 865565681344 867259547648 904011218944 904785201152 958304861488 989217921536 1032020620064 1034040229888 1065311607808 1126918094848 1179452137216 1217498980352 1285390951936 1289009053696 1326855176192 1469018230784 1470275951872 1517704208384 1582019633152 1677033507604 1680315373568 1731131362688 1809570402304 1916609722976 1978435843072 2064041240128 2068080459776 2130623215616 2358904274432 2434997960704 2570781903872 2578018107392 2653710352384 2938036461568 2940551903744 3035408416768 3164039266304 3354067015208 3360630747136 3462262725376 3619140804608 3833219445952 3956871686144 4128082480256 4261246431232 4717808548864 4869995921408 5141563807744 5876072923136 5881103807488 6070816833536 6328078532608 6708134030416 6721261494272 6924525450752 7238281609216 7666438891904 7913743372288 8256164960512 8522492862464 9435617097728 10283127615488 11752145846272 11762207614976 13416268060832 13442522988544 13849050901504 14476563218432 15332877783808 15827486744576 16512329921024 17044985724928 18871234195456 20566255230976 23524415229952 26832536121664 26885045977088 27698101803008 30665755567616 31654973489152 33024659842048 34089971449856 37742468390912 41132510461952 47048830459904 53665072243328 55396203606016 61331511135232 63309946978304 66049319684096 75484936781824 82265020923904 94097660919808 107330144486656 110792407212032 122663022270464 132098639368192 150969873563648 188195321839616 214660288973312 221584814424064 245326044540928 264197278736384 429320577946624 443169628848128 490652089081856 528394557472768 858641155893248 981304178163712 1056789114945536 1717282311786496 1962608356327424 3434564623572992 6869129247145984 13738258494291968
- Sum of all divisors σ(n): 35605534073034240
- Sum of proper divisors (its aliquot sum) s(n): 21867275578742272
- 13738258494291968 is an abundant number, because the sum of its proper divisors (21867275578742272) is greater than itself. Its abundance is 8129017084450304
Bases of 13738258494291968
- Binary: 1100001100111011011111100100010110001010000000000000002
- Hexadecimal: 0x30CEDF91628000
- Base-36: 3R9T0TO6FI8
Squares and roots of 13738258494291968
- 13738258494291968 squared (137382584942919682) is 188739746455985411748037629313024
- 13738258494291968 cubed (137382584942919683) is 2592955424959453946380826497438526403381120991232
-
The
square root of 13738258494291968 is 117210317.3542839957 -
The
cube root of 13738258494291968 is 239502.7813322163
Scales and comparisons
How big is 13738258494291968?- 13,738,258,494,291,968 seconds is equal to 436,834,124 years, 46 weeks, 3 days, 17 hours, 6 minutes, 8 seconds.
-
To count from 1 to 13,738,258,494,291,968 would take you about one billion, three hundred ten million, five hundred two thousand, three hundred seventy-four 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 13738258494291968 cubic inches would be around 19958.6 feet tall.
Recreational maths with 13738258494291968
- 13738258494291968 backwards is 86919249485283731
- The number of decimal digits it has is: 17
- The sum of 13738258494291968's digits is 89
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13738258494291968 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
APA style:
Numbermatics. (2024). Number 13738258494291968 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/13738258494291968/
Chicago style:
Numbermatics. 2024. "Number 13738258494291968 - Facts about the integer". https://numbermatics.com/n/13738258494291968/
The information we have on file for 13738258494291968 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!
Keywords: Divisors of 13738258494291968, math, Factors of 13738258494291968, curriculum, school, college, exams, university, Prime factorization of 13738258494291968, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, seven hundred thirty-eight trillion, two hundred fifty-eight billion, four hundred ninety-four million, two hundred ninety-one thousand, nine hundred sixty-eight.