138021968906713632
138,021,968,906,713,632 is an even composite number composed of six prime numbers multiplied together.
What does the number 138021968906713632 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138021968906713632 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 138021968906713632:
25 × 3 × 132 × 192 × 473 × 613
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 19 × 19 × 47 × 47 × 47 × 61 × 61 × 61)See below for interesting mathematical facts about the number 138021968906713632 from the Numbermatics database.
Names of 138021968906713632
- Cardinal: 138021968906713632 can be written as One hundred thirty-eight quadrillion, twenty-one trillion, nine hundred sixty-eight billion, nine hundred six million, seven hundred thirteen thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 1.38021968906713632 × 1017
Factors of 138021968906713632
Divisors of 138021968906713632
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 47 48 52 57 61 76 78 94 96 104 114 122 141 152 156 169 183 188 208 228 244 247 282 304 312 338 361 366 376 416 456 488 494 507 564 608 611 624 676 722 732 741 752 793 893 912 976 988 1014 1083 1128 1159 1222 1248 1352 1444 1464 1482 1504 1586 1786 1824 1833 1952 1976 2028 2166 2209 2256 2318 2379 2444 2679 2704 2867 2888 2928 2964 3172 3211 3477 3572 3666 3721 3952 4056 4332 4418 4512 4636 4693 4758 4888 5358 5408 5734 5776 5856 5928 6344 6422 6627 6954 7144 7332 7442 7904 7943 8112 8601 8664 8836 9272 9386 9516 9633 9776 10309 10716 11163 11468 11552 11609 11856 12688 12844 13254 13908 14079 14288 14664 14884 15067 15886 16224 16967 17202 17328 17672 18544 18772 19032 19266 19552 20618 21432 22021 22326 22936 23218 23712 23829 25376 25688 26508 27816 28158 28576 28717 29328 29768 30134 30927 31772 33934 34404 34656 34827 35344 37088 37271 37544 38064 38532 41236 41971 42864 44042 44652 45201 45872 46436 47658 48373 50901 51376 53016 54473 55632 56316 57434 58656 59536 60268 61009 61854 63544 66063 67868 68808 69654 70688 70699 74542 75088 76128 77064 82472 83942 85728 86151 88084 89304 90402 91744 92872 95316 96746 101802 102752 103823 106032 108946 111264 111813 112632 114868 119072 120536 122018 123708 125913 127088 132126 134749 135736 137616 139308 141398 145119 149084 150176 150917 154128 163419 164944 167884 172302 174887 176168 178608 180804 183027 185744 190632 193492 195871 203604 207646 212064 212097 217892 220571 223626 225264 226981 229736 241072 244036 247416 251826 254176 264252 269498 271472 275232 278616 282796 286273 290238 298168 301834 308256 311469 326838 329888 335768 344604 349774 352336 357216 361608 366054 371488 373321 381264 386984 391742 404247 407208 415292 424194 435784 441142 447252 450528 452751 453962 459472 482144 484523 488072 494832 503652 524661 528504 538996 542944 545623 557232 565592 572546 580476 587613 596336 603668 622938 628849 653676 661713 671536 680943 689208 699548 704672 708149 723216 732108 746642 762528 773968 783484 797449 808494 814416 830584 848388 858819 871568 882284 894504 905502 907924 918944 919087 969046 976144 989664 1007304 1034987 1049322 1057008 1077992 1091246 1114464 1119963 1131184 1145092 1160952 1175226 1192672 1207336 1245876 1257698 1307352 1323426 1343072 1343281 1349699 1361886 1378416 1399096 1416298 1446432 1453569 1464216 1493284 1547936 1566968 1594898 1616988 1628832 1636869 1661168 1696776 1717638 1743136 1751737 1764568 1789008 1811004 1815848 1838174 1886547 1938092 1952288 1972637 2014608 2069974 2098644 2114016 2124447 2155984 2182492 2239926 2262368 2273531 2290184 2321904 2350452 2392347 2414672 2491752 2515396 2560231 2614704 2646852 2686562 2699398 2723772 2756832 2757261 2798192 2832596 2867423 2907138 2928432 2950753 2986568 3104961 3133936 3189796 3233976 3273738 3322336 3322853 3393552 3435276 3503474 3529136 3578016 3622008 3631696 3676348 3721549 3773094 3876184 3945274 4029216 4029843 4049097 4139948 4197288 4248894 4311968 4312639 4364984 4479852 4547062 4580368 4643808 4700904 4784694 4829344 4983504 5030792 5120462 5229408 5255211 5293704 5373124 5398796 5447544 5514522 5596384 5665192 5734846 5814276 5856864 5901506 5917911 5973136 6209922 6267872 6333203 6379592 6467952 6547476 6645706 6787104 6820593 6870552 7006948 7058272 7093099 7244016 7263392 7352696 7443098 7546188 7680693 7752368 7890548 8059686 8098194 8219689 8279896 8394576 8497788 8602269 8625278 8729968 8852259 8959704 9094124 9160736 9205937 9401808 9569388 9967008 9968559 10061584 10240924 10366837 10510422 10587408 10668107 10746248 10797592 10895088 11029044 11164647 11330384 11469692 11628552 11803012 11835822 11946272 11948131 12419844 12666406 12759184 12935904 12937917 13094952 13291412 13454831 13641186 13741104 14013896 14186198 14488032 14705392 14886196 15092376 15361386 15504736 15781096 16119372 16196388 16439378 16559792 16789152 16995576 17204538 17250556 17459936 17462653 17546087 17704518 17919408 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123846054163 126481076592 128036171796 130577979454 131534427856 133356234336 137021166308 139463463263 141395090178 142430770992 150172909536 150196278453 152019297768 152425912816 154300001908 156437121048 158360528274 160711359328 162687318664 166174605948 169473547802 170714895728 173079367968 176164374648 178330330074 181005771469 184856958096 188526786904 190844739202 194905265568 195866969181 197301641784 200261704604 202692397024 205531749462 208582828064 211147371032 219483483168 221566141264 228638869224 231450002862 234885832864 237773773432 241067038992 244030977996 247692108326 252962153184 254210321703 256072343592 261155958908 263068855712 274042332616 278926926526 282790180356 284861541984 286267108803 300392556906 304038595536 304851825632 306356028719 308600003816 312874242096 316721056548 325374637328 332349211896 338947095604 341429791456 352328749296 356660660148 362011542938 369713916192 371538162489 377053573808 381689478404 386382381827 391733938362 394603283568 400523409208 411063498924 418390389789 422294742064 443132282528 447751118897 457277738448 462900005724 475547546864 482134077984 488061955992 495384216652 501475006201 508420643406 512144687184 522311917816 543017314407 548084665232 557853853052 565580360712 572534217606 600785113812 608077191072 612712057438 617200007632 625748484192 633442113096 650749274656 650850539963 664698423792 677894191208 704657498592 713321320296 724023085876 743076324978 754107147616 763378956808 772764763654 783467876724 789206567136 801046818416 822126997848 836780779578 844589484128 895502237794 914555476896 919068086157 925800011448 951095093728 976123911984 990768433304 1002950012402 1016841286812 1024289374368 1044623835632 1086034628814 1096169330464 1115707706104 1131160721424 1145068435212 1159147145481 1201570227624 1225424114876 1234400015264 1240490804813 1266884226192 1301701079926 1329396847584 1343253356691 1355788382416 1426642640592 1448046171752 1486152649956 1504425018603 1526757913616 1545529527308 1566935753448 1602093636832 1609998704119 1644253995696 1673561559156 1791004475588 1813025022419 1838136172314 1851600022896 1952247823968 1952551619889 1981536866608 2005900024804 2033682573624 2089247671264 2172069257628 2231415412208 2262321442848 2290136870424 2318294290962 2353075029097 2403140455248 2450848229752 2480981609626 2533768452384 2603402159852 2686506713382 2711576764832 2853285281184 2896092343504 2972305299912 3008850037206 3053515827232 3091059054616 3133871506896 3219997408238 3288507991392 3347123118312 3582008951176 3626050044838 3676272344628 3703200045792 3721472414439 3905103239778 3963073733216 3982628373347 4011800049608 4067365147248 4344138515256 4462830824416 4580273740848 4636588581924 4706150058194 4806280910496 4829996112357 4901696459504 4961963219252 5206804319704 5373013426764 5439075067257 5792184687008 5820764545661 5944610599824 6017700074412 6182118109232 6267743013792 6439994816476 6694246236624 7059225087291 7164017902352 7252100089676 7352544689256 7442944828878 7810206479556 7965256746694 8023600099216 8134730294496 8507271259043 8688277030512 9160547481696 9273177163848 9412300116388 9659992224714 9803392919008 9923926438504 10413608639408 10746026853528 10878150134514 11641529091322 11889221199648 11947885120041 12035400148824 12364236218464 12879989632952 13388492473248 14118450174582 14328035804704 14504200179352 14705089378512 14885889657756 15620412959112 15930513493388 16047200198432 17014542518086 17376554061024 17462293636983 18546354327696 18824600232776 19319984449428 19847852877008 20827217278816 21492053707056 21756300269028 23283058182644 23569325291447 23895770240082 24070800297648 25521813777129 25759979265904 28236900349164 29008400358704 29410178757024 29771779315512 30589975378261 31240825918224 31861026986776 34029085036172 34924587273966 37092708655392 37649200465552 38639968898856 39695705754016 42984107414112 43512600538056 46566116365288 47138650582894 47791540480164 48141600595296 51043627554258 51519958531808 56473800698328 58016800717408 59543558631024 61179950756522 62481651836448 63722053973552 68058170072344 69849174547932 70707975874341 75298400931104 75669939093593 77279937797712 87025201076112 91769926134783 93132232730576 94277301165788 95583080960328 102087255108516 110594526367559 112947601396656 119087117262048 122359901513044 127444107947104 136116340144688 139698349095864 141415951748682 151339878187186 154559875595424 174050402152224 183539852269566 186264465461152 188554602331576 191166161920656 204174510217032 221189052735118 225895202793312 227009817280779 244719803026088 272232680289376 279396698191728 282831903497364 302679756374372 331783579102677 367079704539132 377109204663152 382332323841312 408349020434064 442378105470236 454019634561558 489439606052176 558793396383456 565663806994728 605359512748744 663567158205354 734159409078264 754218409326304 816698040868128 884756210940472 908039269123116 978879212104352 1131327613989456 1210719025497488 1327134316410708 1437728842778267 1468318818156528 1769512421880944 1816078538246232 2262655227978912 2421438050994976 2654268632821416 2875457685556534 2936637636313056 3539024843761888 3632157076492464 4313186528334801 5308537265642832 5750915371113068 7264314152984928 8626373056669602 10617074531285664 11501830742226136 17252746113339204 23003661484452272 34505492226678408 46007322968904544 69010984453356816 138021968906713632
- Sum of all divisors σ(n): 430108648729643520
- Sum of proper divisors (its aliquot sum) s(n): 292086679822929888
- 138021968906713632 is an abundant number, because the sum of its proper divisors (292086679822929888) is greater than itself. Its abundance is 154064710916216256
Bases of 138021968906713632
- Binary: 1111010100101101000111111110110111110001001111010001000002
- Hexadecimal: 0x1EA5A3FDBE27A20
- Base-36: 11R0PD6HFA5C
Squares and roots of 138021968906713632
- 138021968906713632 squared (1380219689067136322) is 19050063900885824624265162454631424
- 138021968906713632 cubed (1380219689067136323) is 2629327327398971087348212338210440635431325676371968
-
The
square root of 138021968906713632 is 371513080.3978692109 -
The
cube root of 138021968906713632 is 516792.3459079915
Scales and comparisons
How big is 138021968906713632?- 138,021,968,906,713,632 seconds is equal to 4,388,671,681 years, 13 weeks, 20 hours, 27 minutes, 12 seconds.
-
To count from 1 to 138,021,968,906,713,632 would take you about thirteen billion, one hundred sixty-six million, fifteen thousand and forty-three 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 138021968906713632 cubic inches would be around 43066 feet tall.
Recreational maths with 138021968906713632
- 138021968906713632 backwards is 236317609869120831
- The number of decimal digits it has is: 18
- The sum of 138021968906713632's digits is 75
- More coming soon!
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Cite this page
MLA style:
"Number 138021968906713632 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 138021968906713632 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138021968906713632/
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Numbermatics. 2024. "Number 138021968906713632 - Facts about the integer". https://numbermatics.com/n/138021968906713632/
The information we have on file for 138021968906713632 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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