138089736936616752
138,089,736,936,616,752 is an even composite number composed of five prime numbers multiplied together.
What does the number 138089736936616752 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 900 divisors.
138089736936616752 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 138089736936616752:
24 × 33 × 72 × 294 × 30372
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 29 × 29 × 29 × 29 × 3037 × 3037)See below for interesting mathematical facts about the number 138089736936616752 from the Numbermatics database.
Names of 138089736936616752
- Cardinal: 138089736936616752 can be written as One hundred thirty-eight quadrillion, eighty-nine trillion, seven hundred thirty-six billion, nine hundred thirty-six million, six hundred sixteen thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.38089736936616752 × 1017
Factors of 138089736936616752
Divisors of 138089736936616752
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 49 54 56 58 63 72 84 87 98 108 112 116 126 144 147 168 174 189 196 203 216 232 252 261 294 336 348 378 392 406 432 441 464 504 522 588 609 696 756 783 784 812 841 882 1008 1044 1176 1218 1323 1392 1421 1512 1566 1624 1682 1764 1827 2088 2352 2436 2523 2646 2842 3024 3037 3132 3248 3364 3528 3654 4176 4263 4872 5046 5292 5481 5684 5887 6074 6264 6728 7056 7308 7569 8526 9111 9744 10092 10584 10962 11368 11774 12148 12528 12789 13456 14616 15138 17052 17661 18222 20184 21168 21259 21924 22707 22736 23548 24296 24389 25578 27333 29232 30276 34104 35322 36444 38367 40368 41209 42518 43848 45414 47096 48592 48778 51156 52983 54666 60552 63777 68208 70644 72888 73167 76734 81999 82418 85036 87696 88073 90828 94192 97556 102312 105966 109332 121104 123627 127554 141288 145776 146334 148813 153468 158949 163998 164836 170072 170723 176146 181656 191331 195112 204624 211932 218664 219501 247254 255108 264219 282576 292668 297626 306936 317898 327996 329672 340144 341446 352292 363312 370881 382662 390224 423864 437328 439002 446439 494508 510216 512169 528438 573993 585336 595252 613872 616511 635796 655992 658503 659344 682892 704584 707281 741762 765324 792657 847728 878004 892878 989016 1020432 1024338 1056876 1112643 1147986 1170672 1190504 1195061 1233022 1271592 1311984 1317006 1339317 1365784 1409168 1414562 1483524 1530648 1536507 1585314 1756008 1785756 1849533 1978032 2048676 2113752 2121843 2225286 2295972 2377971 2381008 2390122 2466044 2543184 2554117 2634012 2678634 2731568 2829124 2967048 3061296 3073014 3170628 3512016 3571512 3585183 3699066 4017951 4097352 4227504 4243686 4315577 4450572 4591944 4609521 4755942 4780244 4932088 4950967 5108234 5268024 5357268 5548599 5658248 5934096 6146028 6341256 6365529 7143024 7170366 7398132 7662351 8035902 8194704 8487372 8631154 8901144 9183888 9219042 9223369 9511884 9560488 9864176 9901934 10216468 10536048 10714536 10755549 11097198 11316496 12292056 12682512 12731058 12946731 14340732 14796264 14852901 15324702 16071804 16645797 16974744 17262308 17802288 17878819 18438084 18446738 19023768 19096587 19120976 19803868 20432936 21429072 21511098 22194396 22987053 24584112 25462116 25893462 27670107 28681464 29592528 29705802 30649404 32143608 32266647 33291594 33949488 34524616 34656769 35757638 36876168 36893476 38047536 38193174 38840193 39607736 40865872 43022196 44388792 44558703 45974106 50924232 51786924 53636457 55340214 57362928 59411604 61298808 64287216 64533294 64563583 66583188 68961159 69049232 69313538 71515276 73752336 73786952 74069393 76386348 77680386 79215472 83010321 86044392 88777584 89117406 91948212 101848464 103573848 103970307 107272914 110680428 116520579 118823208 122597616 125151733 129066588 129127166 133166376 133676109 137922318 138627076 143030552 147573904 148138786 152772696 155360772 160909371 166020642 172088784 178234812 183896424 193690749 207147696 207940614 214545828 221360856 222208179 233041158 237646416 249030963 250303466 258133176 258254332 266332752 267352218 267477701 275844636 277254152 286061104 296277572 305545392 310721544 311910921 321818742 332041284 356469624 367792848 375455199 387381498 415881228 429091656 442721712 444416358 451945081 466082316 482728113 498061926 500606932 516266352 516508664 518485751 534704436 534955402 551689272 554508304 581072247 592555144 621443088 623821842 643637484 664082568 666624537 712939248 750910398 774762996 802433103 831762456 858183312 888832716 903890162 932164632 935732763 965456226 996123852 1001213864 1033017328 1036971502 1069408872 1069910804 1103378544 1126365597 1162144494 1185110288 1247643684 1287274968 1328165136 1333249074 1355835243 1501820796 1549525992 1555457253 1604866206 1663524912 1743216741 1777665432 1807780324 1864329264 1871465526 1872343907 1930912452 1992247704 1999873611 2002427728 2073943004 2138817744 2139821608 2148012397 2252731194 2324288988 2407299309 2495287368 2574549936 2666498148 2711670486 3003641592 3099051984 3110914506 3209732412 3379096791 3486433482 3555330864 3615560648 3629400257 3742931052 3744687814 3861824904 3984495408 3999747222 4067505729 4147886008 4279643216 4296024794 4505462388 4648577976 4666371759 4814598618 4990574736 5332996296 5423340972 5617031721 6007283184 6221829012 6419464824 6444037191 6758193582 6972866964 7221897927 7231121296 7258800514 7485862104 7489375628 7723649808 7756853329 7999494444 8135011458 8295772016 8592049588 9010924776 9297155952 9332743518 9629197236 10665992592 10846681944 10888200771 11234063442 12202517187 12443658024 12838929648 12888074382 13106407349 13516387164 13945733928 13999115277 14443795854 14517601028 14971724208 14978751256 15036086779 15513706658 15998988888 16270022916 16851095163 17184099176 18021849552 18665487036 19258394472 19332111573 21693363888 21776401542 22468126884 23270559987 24405034374 24887316048 25776148764 26212814698 27032774328 27891467856 27998230554 28887591708 29035202056 29957502512 30072173558 31027413316 31997977776 32540045832 32664602313 33702190326 34368198352 37330974072 38516788944 38664223146 39319222047 43552803084 44936253768 45108260337 46541119974 48810068748 50553285489 51552297528 52425629396 54065548656 54297973303 55996461108 57775183416 57996334719 58070404112 60144347116 62054826632 65080091664 65329204626 67404380652 69811679961 74661948144 77328446292 78638444094 87105606168 89872507536 90216520674 93082239948 97620137496 97993806939 101106570978 103104595056 104851258792 105252607453 108595946606 111992922216 115550366832 115992669438 117957666141 120288694232 124109653264 130658409252 134808761304 135324781011 139623359922 154656892584 157276888188 162893919909 174211212336 180433041348 186164479896 195240274992 195987613878 202213141956 209435039883 209702517584 210505214906 217191893212 223985844432 224948746541 231985338876 235915332282 240577388464 261316818504 269617522608 270649562022 279246719844 309313785168 314553776376 315757822359 325787839818 353872998423 360866082696 372328959792 380085813121 391975227756 404426283912 405974343033 418870079766 421010429812 434383786424 449897493082 463970677752 471830664564 488681759727 522633637008 541299124044 558493439688 629107552752 631515644718 651575679636 674846239623 707745996846 721732165392 760171626242 783950455512 808852567824 811948686066 837740159532 842020859624 868767572848 899794986164 927941355504 943661329128 947273467077 977363519454 1082598248088 1116986879376 1140257439363 1263031289436 1303151359272 1349692479246 1415491993692 1466045279181 1520343252484 1567900911024 1574641225787 1623897372132 1675480319064 1684041719248 1799589972328 1887322658256 1894546934154 1954727038908 2024538718869 2165196496176 2280514878726 2526062578872 2606302718544 2699384958492 2830983987384 2841820401231 2932090558362 3040686504968 3149282451574 3247794744264 3350960638128 3420772318089 3599179944656 3789093868308 3909454077816 4049077437738 4561029757452 4723923677361 5052125157744 5398769916984 5661967974768 5683640802462 5864181116724 6073616156607 6081373009936 6298564903148 6495589488528 6523513649689 6841544636178 7578187736616 7818908155632 8098154875476 9122059514904 9447847354722 10262316954267 10797539833968 11022488580509 11367281604924 11728362233448 12147232313214 12597129806296 13047027299378 13683089272356 14171771032083 15156375473232 16196309750952 18244119029808 18895694709444 19570540949067 20524633908534 22044977161018 22734563209848 23456724466896 24294464626428 25194259612592 26094054598756 27366178544712 28343542064166 32392619501904 33067465741527 37791389418888 39141081898134 41049267817068 42515313096249 44089954322036 45469126419696 45664595547823 48588929252856 52188109197512 54732357089424 56687084128332 58711622847201 66134931483054 75582778837776 78282163796268 82098535634136 85030626192498 88179908644072 91329191095646 97177858505712 99202397224581 104376218395024 113374168256664 117423245694402 132269862966108 136993786643469 156564327592536 164197071268272 170061252384996 176134868541603 176359817288144 182658382191292 198404794449162 226748336513328 234846491388804 264539725932216 273987573286938 297607191673743 313128655185072 319652168834761 340122504769992 352269737083206 365316764382584 396809588898324 410981359930407 469692982777608 529079451864432 547975146573876 595214383347486 639304337669522 680245009539984 704539474166412 730633528765168 793619177796648 821962719860814 939385965555216 958956506504283 1095950293147752 1190428766694972 1232944079791221 1278608675339044 1409078948332824 1587238355593296 1643925439721628 1917913013008566 2191900586295504 2380857533389944 2465888159582442 2557217350678088 2818157896665648 2876869519512849 3287850879443256 3835826026017132 4761715066779888 4931776319164884 5114434701356176 5753739039025698 6575701758886512 7671652052034264 8630608558538547 9863552638329768 11507478078051396 15343304104068528 17261217117077094 19727105276659536 23014956156102792 34522434234154188 46029912312205584 69044868468308376 138089736936616752
- Sum of all divisors σ(n): 477706429272017160
- Sum of proper divisors (its aliquot sum) s(n): 339616692335400408
- 138089736936616752 is an abundant number, because the sum of its proper divisors (339616692335400408) is greater than itself. Its abundance is 201526955398783656
Bases of 138089736936616752
- Binary: 1111010101001011111100010010101010011101111110011001100002
- Hexadecimal: 0x1EA97E2553BF330
- Base-36: 11ROQ5DSPKC0
Squares and roots of 138089736936616752
- 138089736936616752 squared (1380897369366167522) is 19068775447224016910965884127029504
- 138089736936616752 cubed (1380897369366167523) is 2633202185210580952091120579650034245437673444651008
-
The
square root of 138089736936616752 is 371604274.6479334459 -
The
cube root of 138089736936616752 is 516876.9128048937
Scales and comparisons
How big is 138089736936616752?- 138,089,736,936,616,752 seconds is equal to 4,390,826,494 years, 51 weeks, 19 hours, 19 minutes, 12 seconds.
-
To count from 1 to 138,089,736,936,616,752 would take you about thirteen billion, one hundred seventy-two million, four hundred seventy-nine thousand, four hundred eighty-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 138089736936616752 cubic inches would be around 43073.1 feet tall.
Recreational maths with 138089736936616752
- 138089736936616752 backwards is 257616639637980831
- The number of decimal digits it has is: 18
- The sum of 138089736936616752's digits is 90
- 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 138089736936616752 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
APA style:
Numbermatics. (2024). Number 138089736936616752 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/138089736936616752/
Chicago style:
Numbermatics. 2024. "Number 138089736936616752 - Facts about the integer". https://numbermatics.com/n/138089736936616752/
The information we have on file for 138089736936616752 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 138089736936616752, math, Factors of 138089736936616752, curriculum, school, college, exams, university, Prime factorization of 138089736936616752, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eighty-nine trillion, seven hundred thirty-six billion, nine hundred thirty-six million, six hundred sixteen thousand, seven hundred fifty-two.