138101555705568
138,101,555,705,568 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138101555705568 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
138101555705568 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138101555705568:
25 × 3 × 72 × 132 × 194 × 31 × 43
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 13 × 19 × 19 × 19 × 19 × 31 × 43)See below for interesting mathematical facts about the number 138101555705568 from the Numbermatics database.
Names of 138101555705568
- Cardinal: 138101555705568 can be written as One hundred thirty-eight trillion, one hundred one billion, five hundred fifty-five million, seven hundred five thousand, five hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38101555705568 × 1014
Factors of 138101555705568
Divisors of 138101555705568
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 31 32 38 39 42 43 48 49 52 56 57 62 76 78 84 86 91 93 96 98 104 112 114 124 129 133 147 152 156 168 169 172 182 186 196 208 217 224 228 247 248 258 266 273 294 301 304 312 336 338 344 361 364 372 392 399 403 416 434 456 494 496 507 516 532 546 559 588 589 602 608 624 637 651 672 676 688 722 728 741 744 784 798 806 817 868 903 912 931 988 992 1014 1032 1064 1083 1092 1118 1176 1178 1183 1204 1209 1248 1274 1302 1333 1352 1376 1444 1456 1482 1488 1519 1568 1596 1612 1634 1677 1729 1736 1767 1806 1824 1862 1911 1976 2028 2064 2107 2128 2166 2184 2236 2352 2356 2366 2408 2418 2451 2527 2548 2604 2666 2704 2793 2821 2888 2912 2964 2976 3038 3192 3211 3224 3268 3354 3458 3472 3534 3549 3612 3724 3822 3913 3952 3999 4056 4123 4128 4214 4256 4332 4368 4472 4557 4693 4704 4712 4732 4816 4836 4902 5054 5096 5187 5208 5239 5332 5408 5586 5642 5719 5776 5928 6076 6321 6384 6422 6448 6536 6708 6859 6916 6944 7068 7098 7224 7267 7448 7581 7644 7657 7826 7904 7998 8112 8246 8281 8428 8463 8664 8736 8944 9114 9331 9386 9424 9464 9632 9633 9672 9804 10108 10192 10374 10416 10478 10621 10664 11172 11191 11284 11438 11552 11739 11856 12103 12152 12369 12642 12768 12844 12896 13072 13416 13718 13832 14079 14136 14196 14448 14534 14896 15162 15288 15314 15523 15652 15717 15996 16224 16492 16562 16856 16926 17157 17328 17329 17689 17888 18228 18662 18772 18848 18928 19266 19344 19608 19747 20216 20384 20577 20748 20832 20956 21242 21328 21801 22344 22382 22477 22568 22876 22971 23478 23712 24206 24304 24738 24843 25284 25327 25688 26144 26832 27391 27436 27664 27993 28158 28272 28392 28861 28896 29068 29792 30324 30576 30628 31046 31304 31434 31863 31992 32851 32984 33124 33573 33712 33852 34314 34656 34658 35378 36309 36456 36673 37324 37544 37856 38532 38688 39216 39494 40033 40432 41154 41496 41912 42484 42656 43602 44688 44764 44954 45136 45752 45942 46569 46956 48013 48412 48608 49476 49686 50568 50654 50869 51376 51987 53067 53599 53664 54782 54872 55328 55986 56316 56544 56784 57722 58136 59241 60648 61009 61152 61256 62092 62608 62868 63726 63984 65317 65702 65968 66248 67146 67424 67431 67704 68628 69316 70756 72618 72912 73346 74347 74648 75088 75981 77064 78337 78432 78988 80066 80864 82173 82308 82992 83824 84968 86583 87204 89167 89376 89528 89908 90272 91504 91884 93138 93912 96026 96824 98553 98952 99372 99541 101136 101308 101738 102752 103974 106134 107198 108661 109564 109744 110019 111972 112632 113568 115444 116272 118482 120099 121296 121303 122018 122512 124184 125216 125736 127452 127968 130321 130634 131404 131936 132496 134292 134862 135408 137256 138073 138632 141512 144039 145236 145483 145824 146692 148694 149296 150176 151962 152607 154128 156674 157339 157976 160132 160797 164346 164616 165984 167648 169936 173166 174408 177289 178334 179056 179816 183008 183027 183768 186276 187824 192052 193648 195951 197106 197904 198744 199082 201799 202272 202616 203476 207948 212268 212629 214396 217322 219128 219488 220038 223041 223944 225264 225277 229957 230888 232544 235011 236964 240198 242592 242606 244036 245024 248368 251472 254904 256711 260642 261268 262808 264992 267501 268584 269724 270816 274512 276146 277264 283024 288078 290472 290966 293384 294937 297388 298592 298623 303924 305214 308256 313348 314678 315952 320264 321594 325983 328692 329232 329251 336091 339872 346332 348816 354578 356083 356668 358112 359632 363909 366054 367536 372552 375193 375648 384104 387296 390963 391902 394212 395808 397488 398164 403598 405232 406952 414219 415896 424536 425258 427063 428792 434644 436449 438256 440076 446082 447888 450528 450554 459914 461776 470022 472017 473928 480396 481213 485212 488072 496736 502944 509808 513422 520429 521284 522536 525616 531867 535002 537168 539448 548359 549024 552292 554528 566048 576156 580944 581932 586768 589874 594776 597246 605397 607848 610428 624169 626696 629356 631904 637887 640528 643188 651966 657384 658464 658502 672182 675831 689871 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268982544 270889346 274586347 278018013 282953244 284621064 286986336 287474408 291397756 292577504 293819344 299066118 300276912 306514992 306532681 308339486 309587824 313812968 315116178 316420832 317734872 322071204 323375136 324747696 325299988 332057908 333402272 339355884 340796274 342176016 346845912 347435786 348910471 350323064 352387984 353234336 356578833 359542092 367635541 368081376 370690684 375749738 377270992 379494752 384007974 385637889 387199176 387835296 389481456 395915198 398754824 406334019 410905248 419441568 419465774 420154904 423646496 429428272 431211612 437096634 438866256 440729016 448009303 452474512 454395032 462461216 462509229 464381736 468240864 470719452 474631248 475438444 479389456 487949982 498086862 500103408 503080214 509946073 512010632 514183852 516265568 521153679 525484596 528581976 529851504 537965088 541778692 549172694 556036026 563624607 565906488 569242128 569274979 574948816 582795512 587638688 593872797 598132236 600553824 613029984 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1401292256 1426315332 1438168368 1470542164 1482762736 1502998952 1509240642 1529838219 1536031896 1542551556 1545174943 1548796704 1583660792 1595019296 1625336076 1647518082 1664034554 1677863096 1680619616 1707824937 1724846448 1748386536 1760780749 1762916064 1792037212 1817580128 1839196086 1850036916 1857526944 1882877808 1894085414 1901753776 1951799928 1992347448 2012320856 2039784292 2048042528 2048255157 2056735408 2084614716 2093462826 2101938384 2114327904 2158376402 2167114768 2196690776 2205813246 2224144104 2254498428 2258332609 2263625952 2277099916 2331182048 2375491188 2392528944 2432050502 2442373297 2452261448 2466715888 2496051831 2516794644 2520929424 2573448787 2576569632 2602399904 2656463264 2688055818 2714847072 2726370192 2731006876 2779486288 2791283768 2841128121 2852630664 2876336736 2941084328 2965525472 3005997904 3018481284 3059676438 3072063792 3085103112 3090349886 3167321584 3237564603 3250672152 3295036164 3328069108 3355726192 3415649874 3449692896 3496773072 3521561498 3569622511 3584074424 3648075753 3678392172 3700073832 3765755616 3788170828 3803507552 3903599856 3984694896 3984924853 4024641712 4079568584 4096510314 4113470816 4169229432 4186925652 4203876768 4316752804 4334229536 4393381552 4411626492 4448288208 4508996856 4516665218 4554199832 4635524829 4750982376 4779262033 4785057888 4864101004 4884746594 4904522896 4933431776 4992103662 5033589288 5041858848 5146897574 5282342247 5376111636 5452740384 5462013752 5558972576 5582567536 5682256242 5705261328 5824120939 5882168656 6011995808 6036962568 6119352876 6144127584 6170206224 6180699772 6334643168 6475129206 6501344304 6590072328 6629298949 6656138216 6711452384 6774997827 6831299748 6993546144 7043122996 7139245022 7168148848 7296151506 7327119891 7356784344 7400147664 7576341656 7720346361 7807199712 7969389792 7969849706 8049283424 8159137168 8193020628 8338458864 8373851304 8512176757 8633505608 8786763104 8823252984 8896576416 9017993712 9033330436 9108399664 9271049658 9501964752 9558524066 9728202008 9769493188 9809045792 9984207324 10067178576 10293795148 10564684494 10708867533 10752223272 10816224601 10924027504 11165135072 11364512484 11410522656 11648241878 11764337312 11954774559 12073925136 12238705752 12340412448 12361399544 12950258412 13002688608 13180144656 13258597898 13312276432 13549995654 13662599496 14086245992 14278490044 14336297696 14337786099 14592303012 14654239782 14713568688 14800295328 15152683312 15440692722 15808328263 15939699412 16318274336 16386041256 16676917728 16747702608 17024353514 17267011216 17472362817 17646505968 18035987424 18066660872 18216799328 18542099316 19003929504 19117048132 19456404016 19538986376 19887896847 19968414648 20134357152 20587590296 21129368988 21417735066 21504446544 21632449202 21848055008 22729024968 23296483756 23909549118 24147850272 24477411504 24722799088 25536530271 25900516824 26360289312 26517195796 26624552864 27099991308 27325198992 28172491984 28556980088 28675572198 29184606024 29308479564 29358323917 29427137376 30305366624 30881385444 31616656526 31879398824 32448673803 32772082512 33454834231 33495405216 34048707028 34534022432 34944725634 35293011936 36133321744 37084198632 38234096264 38912808032 39077972752 39775793694 39936829296 41175180592 42258737976 42835470132 43008893088 43264898404 45458049936 46405092643 46592967512 47424984789 47819098236 48954823008 49445598176 51073060542 51801033648 53034391592 54199982616 54650397984 56344983968 57113960176 57351144396 58369212048 58616959128 58716647834 61762770888 63233313052 63758797648 64897347606 65544165024 66909668462 68097414056 69889451268 72266643488 74168397264 75713572207 76468192528 78155945504 79551587388 79873658592 82350361184 84517475952 85670940264 86529796808 88074971751 90916099872 92810185286 93185935024 94849969578 95638196472 100364502693 102146121084 103602067296 106068783184 108399965232 110658297841 114227920352 114702288792 116738424096 117233918256 117433295668 123525541776 126466626104 127517595296 129794695212 133819336924 136194828112 139215277929 139778902536 148336794528 151427144414 152936385056 159103174776 169034951904 171341880528 173059593616 176149943502 185620370572 186371870048 189699939156 191276392944 200729005386 204292242168 205508267419 212137566368 216799930464 221316595682 227140716621 229404577584 234467836512 234866591336 247051083552 252933252208 259589390424 267638673848 272389656224 278430555858 279557805072 302854288828 318206349552 331974893523 342683761056 346119187232 352299887004 371240741144 379399878312 382552785888 401458010772 408584484336 411016534838 442633191364 454281433242 458809155168 469733182672 505866504416 519178780848 535277347696 556861111716 559115610144 605708577656 616524802257 636412699104 663949787046 704599774008 742481482288 758799756624 802916021544 817168968672 822033069676 885266382728 908562866484 939466365344 1038357561696 1070554695392 1113722223432 1211417155312 1233049604514 1327899574092 1409199548016 1438557871933 1484962964576 1517599513248 1605832043088 1644066139352 1770532765456 1817125732968 2227444446864 2422834310624 2466099209028 2655799148184 2818399096032 2877115743866 3211664086176 3288132278704 3541065530912 3634251465936 4315673615799 4454888893728 4932198418056 5311598296368 5754231487732 6576264557408 7268502931872 8631347231598 9864396836112 10623196592736 11508462975464 17262694463196 19728793672224 23016925950928 34525388926392 46033851901856 69050777852784 138101555705568
- Sum of all divisors σ(n): 509125049427456
- Sum of proper divisors (its aliquot sum) s(n): 371023493721888
- 138101555705568 is an abundant number, because the sum of its proper divisors (371023493721888) is greater than itself. Its abundance is 232921938016320
Bases of 138101555705568
- Binary: 111110110011010010001100010101110110110111000002
- Hexadecimal: 0x7D9A462BB6E0
- Base-36: 1CYAZ8L9EO
Squares and roots of 138101555705568
- 138101555705568 squared (1381015557055682) is 19072039688298101414306202624
- 138101555705568 cubed (1381015557055683) is 2633878351432304007656500647208679093010432
-
The
square root of 138101555705568 is 11751661.8273999019 -
The
cube root of 138101555705568 is 51689.1658468769
Scales and comparisons
How big is 138101555705568?- 138,101,555,705,568 seconds is equal to 4,391,202 years, 15 weeks, 2 days, 11 hours, 32 minutes, 48 seconds.
-
To count from 1 to 138,101,555,705,568 would take you about ten million, nine hundred seventy-eight thousand and five 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 138101555705568 cubic inches would be around 4307.4 feet tall.
Recreational maths with 138101555705568
- 138101555705568 backwards is 865507555101831
- The number of decimal digits it has is: 15
- The sum of 138101555705568's digits is 60
- More coming soon!
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MLA style:
"Number 138101555705568 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 138101555705568 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138101555705568/
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Numbermatics. 2024. "Number 138101555705568 - Facts about the integer". https://numbermatics.com/n/138101555705568/
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