138777899993174016
138,777,899,993,174,016 is an even composite number composed of four prime numbers multiplied together.
What does the number 138777899993174016 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 936 divisors.
138777899993174016 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 138777899993174016:
212 × 35 × 372 × 4673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 37 × 37 × 467 × 467 × 467)See below for interesting mathematical facts about the number 138777899993174016 from the Numbermatics database.
Names of 138777899993174016
- Cardinal: 138777899993174016 can be written as One hundred thirty-eight quadrillion, seven hundred seventy-seven trillion, eight hundred ninety-nine billion, nine hundred ninety-three million, one hundred seventy-four thousand and sixteen.
Scientific notation
- Scientific notation: 1.38777899993174016 × 1017
Factors of 138777899993174016
Divisors of 138777899993174016
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 216 222 243 256 288 296 324 333 384 432 444 467 486 512 576 592 648 666 768 864 888 934 972 999 1024 1152 1184 1296 1332 1369 1401 1536 1728 1776 1868 1944 1998 2048 2304 2368 2592 2664 2738 2802 2997 3072 3456 3552 3736 3888 3996 4096 4107 4203 4608 4736 5184 5328 5476 5604 5994 6144 6912 7104 7472 7776 7992 8214 8406 8991 9216 9472 10368 10656 10952 11208 11988 12288 12321 12609 13824 14208 14944 15552 15984 16428 16812 17279 17982 18432 18944 20736 21312 21904 22416 23976 24642 25218 27648 28416 29888 31104 31968 32856 33624 34558 35964 36864 36963 37827 37888 41472 42624 43808 44832 47952 49284 50436 51837 55296 56832 59776 62208 63936 65712 67248 69116 71928 73926 75654 75776 82944 85248 87616 89664 95904 98568 100872 103674 110592 110889 113481 113664 119552 124416 127872 131424 134496 138232 143856 147852 151308 151552 155511 165888 170496 175232 179328 191808 197136 201744 207348 218089 221778 226962 227328 239104 248832 255744 262848 268992 276464 287712 295704 302616 311022 331776 332667 340992 350464 358656 383616 394272 403488 414696 436178 443556 453924 454656 466533 478208 497664 511488 525696 537984 552928 575424 591408 605232 622044 639323 654267 665334 681984 700928 717312 767232 788544 806976 829392 872356 887112 907848 933066 956416 995328 1022976 1051392 1075968 1105856 1150848 1182816 1210464 1244088 1278646 1308534 1330668 1363968 1399599 1401856 1434624 1534464 1577088 1613952 1658784 1744712 1774224 1815696 1866132 1912832 1917969 1962801 2045952 2102784 2151936 2211712 2301696 2365632 2420928 2488176 2557292 2617068 2661336 2799198 2803712 2869248 3068928 3154176 3227904 3317568 3489424 3548448 3631392 3732264 3835938 3925602 4091904 4198797 4205568 4303872 4423424 4603392 4731264 4841856 4976352 5114584 5234136 5322672 5598396 5607424 5738496 5753907 5888403 6137856 6308352 6455808 6635136 6978848 7096896 7262784 7464528 7671876 7851204 8069293 8397594 8411136 8607744 8846848 9206784 9462528 9683712 9952704 10229168 10468272 10645344 11196792 11507814 11776806 12275712 12616704 12911616 13270272 13957696 14193792 14525568 14929056 15343752 15702408 16138586 16795188 16822272 17215488 17261721 17665209 17693696 18413568 18925056 19367424 19905408 20458336 20936544 21290688 22393584 23015628 23553612 24207879 25233408 25823232 26540544 27915392 28387584 29051136 29858112 30687504 31404816 32277172 33590376 34523442 35330418 35387392 36827136 37850112 38734848 39810816 40916672 41873088 42581376 44787168 46031256 47107224 48415758 50466816 51646464 51785163 52995627 53081088 55830784 56775168 58102272 59716224 61375008 62809632 64554344 67180752 69046884 70660836 70774784 72623637 75700224 77469696 79621632 81833344 83746176 85162752 89574336 92062512 94214448 96831516 101847563 103570326 105991254 106162176 111661568 113550336 116204544 119432448 122750016 125619264 129108688 134361504 138093768 141321672 145247274 151400448 154939392 155355489 159243264 163666688 167492352 170325504 179148672 184125024 188428896 193663032 203695126 207140652 211982508 212324352 217870911 223323136 227100672 232409088 238864896 245500032 251238528 258217376 268723008 276187536 282643344 290494548 298563841 305542689 310710978 318486528 327333376 334984704 340651008 358297344 368250048 376857792 387326064 407390252 414281304 423965016 435741822 446646272 454201344 464818176 477729792 491000064 502477056 516434752 537446016 552375072 565286688 580989096 597127682 611085378 621421956 636973056 653612733 654666752 669969408 681302016 716594688 736500096 753715584 774652128 814780504 828562608 847930032 871483644 893292544 895691523 916628067 955459584 982000128 1004954112 1032869504 1074892032 1104750144 1130573376 1161978192 1194255364 1222170756 1242843912 1307225466 1309333504 1339938816 1362604032 1433189376 1473000192 1507431168 1549304256 1629561008 1657125216 1695860064 1742967288 1791383046 1833256134 1910919168 1960838199 1964000256 2009908224 2065739008 2149784064 2209500288 2261146752 2323956384 2388510728 2444341512 2485687824 2614450932 2618667008 2679877632 2687074569 2749884201 2866378752 2946000384 3014862336 3098608512 3259122016 3314250432 3391720128 3485934576 3582766092 3666512268 3768359831 3921676398 3928000512 4019816448 4131478016 4299568128 4419000576 4522293504 4647912768 4777021456 4888683024 4971375648 5228901864 5374149138 5499768402 5732757504 5892000768 6029724672 6197217024 6518244032 6628500864 6783440256 6971869152 7165532184 7333024536 7536719662 7843352796 7856001024 8039632896 8061223707 8249652603 8262956032 8599136256 8838001152 9044587008 9295825536 9554042912 9777366048 9942751296 10457803728 10748298276 10999536804 11305079493 11784001536 12059449344 12394434048 13036488064 13257001728 13566880512 13943738304 14331064368 14666049072 15073439324 15686705592 16122447414 16499305206 16525912064 17198272512 17676002304 18089174016 18591651072 19108085824 19554732096 19885502592 20915607456 21496596552 21999073608 22610158986 23568003072 24118898688 24183671121 24748957809 24788868096 26072976128 26514003456 27133761024 27887476608 28662128736 29332098144 30146878648 31373411184 32244894828 32998610412 33051824128 33915238479 35352004608 36178348032 37183302144 38216171648 39109464192 39771005184 41831214912 42993193104 43998147216 45220317972 48367342242 49497915618 49577736192 52145952256 53028006912 54267522048 55774953216 57324257472 58664196288 60293757296 62746822368 64489789656 65997220824 67830476958 70704009216 72356696064 72551013363 74366604288 76432343296 78218928384 79542010368 83662429824 85986386208 87996294432 90440635944 96734684484 98995831236 99155472384 101745715437 104291904512 106056013824 108535044096 111549906432 114648514944 117328392576 120587514592 125493644736 128979579312 131994441648 135660953916 139429313747 145102026726 148733208576 152864686592 156437856768 159084020736 167324859648 171972772416 175992588864 180881271888 193469368968 197991662472 203491430874 208583809024 212112027648 217070088192 223099812864 229297029888 234656785152 241175029184 250987289472 257959158624 263988883296 271321907832 278858627494 290204053452 297466417152 305237146311 305729373184 312875713536 318168041472 334649719296 343945544832 351985177728 361762543776 386938737936 395983324944 406982861748 417167618048 418287941241 446199625728 458594059776 469313570304 482350058368 501974578944 515918317248 527977766592 542643815664 557717254988 580408106904 610474292622 611458746368 625751427072 636336082944 669299438592 687891089664 703970355456 723525087552 773877475872 791966649888 813965723496 836575882482 892399251456 915711438933 917188119552 938627140608 964700116736 1003949157888 1031836634496 1055955533184 1085287631328 1115434509976 1160816213808 1220948585244 1222917492736 1251502854144 1254863823723 1338598877184 1375782179328 1407940710912 1447050175104 1547754951744 1583933299776 1627931446992 1673151764964 1831422877866 1834376239104 1877254281216 1929400233472 2007898315776 2063673268992 2111911066368 2170575262656 2230869019952 2321632427616 2441897170488 2509727647446 2677197754368 2751564358656 2815881421824 2894100350208 3095509903488 3167866599552 3255862893984 3346303529928 3662845755732 3668752478208 3754508562432 3764591471169 3858800466944 4015796631552 4127346537984 4223822132736 4341150525312 4461738039904 4643264855232 4883794340976 5019455294892 5503128717312 5631762843648 5788200700416 6191019806976 6335733199104 6511725787968 6692607059856 7325691511464 7529182942338 7717600933888 8031593263104 8254693075968 8447644265472 8682301050624 8923476079808 9286529710464 9767588681952 10038910589784 11006257434624 11263525687296 11293774413507 11576401400832 12382039613952 12671466398208 13023451575936 13385214119712 14651383022928 15058365884676 15435201867776 16509386151936 16895288530944 17364602101248 17846952159616 18573059420928 19535177363904 20077821179568 22587548827014 23152802801664 24764079227904 25342932796416 26046903151872 26770428239424 29302766045856 30116731769352 33018772303872 33790577061888 33881323240521 34729204202496 35693904319232 37146118841856 39070354727808 40155642359136 45175097654028 46305605603328 49528158455808 50685865592832 52093806303744 53540856478848 58605532091712 60233463538704 67762646481042 69458408404992 71387808638464 74292237683712 78140709455616 80311284718272 90350195308056 99056316911616 101371731185664 104187612607488 107081712957696 117211064183424 120466927077408 135525292962084 138916816809984 142775617276928 148584475367424 156281418911232 160622569436544 180700390616112 208375225214976 214163425915392 234422128366848 240933854154816 271050585924168 285551234553856 297168950734848 312562837822464 321245138873088 361400781232224 416750450429952 428326851830784 468844256733696 481867708309632 542101171848336 571102469107712 625125675644928 642490277746176 722801562464448 856653703661568 937688513467392 963735416619264 1084202343696672 1250251351289856 1284980555492352 1445603124928896 1713307407323136 1875377026934784 1927470833238528 2168404687393344 2569961110984704 2891206249857792 3750754053869568 3854941666477056 4336809374786688 5139922221969408 5782412499715584 7709883332954112 8673618749573376 11564824999431168 15419766665908224 17347237499146752 23129649998862336 34694474998293504 46259299997724672 69388949996587008 138777899993174016
- Sum of all divisors σ(n): 428167809018200160
- Sum of proper divisors (its aliquot sum) s(n): 289389909025026144
- 138777899993174016 is an abundant number, because the sum of its proper divisors (289389909025026144) is greater than itself. Its abundance is 150612009031852128
Bases of 138777899993174016
- Binary: 1111011010000100111000011110001111100010010010000000000002
- Hexadecimal: 0x1ED09C3C7C49000
- Base-36: 11YGNR4KQO00
Squares and roots of 138777899993174016
- 138777899993174016 squared (1387778999931740162) is 19259305526515408550139394057568256
- 138777899993174016 cubed (1387778999931740163) is 2672765976296739004855284060065086972735744005636096
-
The
square root of 138777899993174016 is 372529059.2600448613 -
The
cube root of 138777899993174016 is 517734.1002420049
Scales and comparisons
How big is 138777899993174016?- 138,777,899,993,174,016 seconds is equal to 4,412,707,951 years, 28 weeks, 5 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,777,899,993,174,016 would take you about thirteen billion, two hundred thirty-eight million, one hundred twenty-three thousand, eight hundred fifty-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 138777899993174016 cubic inches would be around 43144.5 feet tall.
Recreational maths with 138777899993174016
- 138777899993174016 backwards is 610471399998777831
- The number of decimal digits it has is: 18
- The sum of 138777899993174016's digits is 99
- More coming soon!
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The information we have on file for 138777899993174016 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 138777899993174016, math, Factors of 138777899993174016, curriculum, school, college, exams, university, Prime factorization of 138777899993174016, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred seventy-seven trillion, eight hundred ninety-nine billion, nine hundred ninety-three million, one hundred seventy-four thousand and sixteen.