138388290169680
138,388,290,169,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 138388290169680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1350 divisors.
138388290169680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 138388290169680:
24 × 32 × 5 × 174 × 372 × 412
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 17 × 17 × 17 × 37 × 37 × 41 × 41)See below for interesting mathematical facts about the number 138388290169680 from the Numbermatics database.
Names of 138388290169680
- Cardinal: 138388290169680 can be written as One hundred thirty-eight trillion, three hundred eighty-eight billion, two hundred ninety million, one hundred sixty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3838829016968 × 1014
Factors of 138388290169680
Divisors of 138388290169680
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 37 40 41 45 48 51 60 68 72 74 80 82 85 90 102 111 120 123 136 144 148 153 164 170 180 185 204 205 222 240 246 255 272 289 296 306 328 333 340 360 369 370 408 410 444 492 510 555 578 592 612 615 629 656 666 680 697 720 738 740 765 816 820 867 888 984 1020 1110 1156 1224 1230 1258 1332 1360 1369 1394 1445 1476 1480 1517 1530 1640 1665 1681 1734 1776 1845 1887 1968 2040 2091 2220 2312 2448 2460 2516 2601 2664 2738 2788 2890 2952 2960 3034 3060 3145 3280 3330 3362 3468 3485 3690 3774 4080 4107 4182 4335 4440 4551 4624 4913 4920 5032 5043 5202 5328 5476 5576 5661 5780 5904 6068 6120 6273 6290 6660 6724 6845 6936 6970 7380 7548 7585 8214 8364 8405 8670 8880 9102 9435 9826 9840 10064 10086 10404 10455 10693 10952 11152 11322 11560 11849 12136 12240 12321 12546 12580 13005 13320 13448 13653 13690 13872 13940 14739 14760 15096 15129 15170 16428 16728 16810 17340 18204 18870 19652 20172 20535 20808 20910 21386 21904 22644 22755 23120 23273 23698 24272 24565 24642 25092 25160 25215 25789 26010 26640 26896 27306 27380 27880 28305 28577 29478 29520 30192 30258 30340 31365 32079 32856 33456 33620 34680 35547 36408 37740 39304 40344 41070 41616 41820 42772 44217 45288 45510 46546 47396 49130 49284 50184 50320 50430 51578 52020 53465 54612 54760 55760 56129 56610 57154 58956 59245 60516 60680 61605 62197 62730 64158 65712 67240 68265 69360 69819 71094 72816 73695 75480 75645 77367 78608 80688 82140 83521 83640 85544 85731 88434 90576 91020 93092 94792 96237 98260 98568 100368 100860 103156 104040 106641 106930 109224 109520 112258 113220 114308 116365 117912 118490 121032 121360 123210 124394 125460 128316 128945 134480 136530 139638 142188 142885 147390 150960 151290 154734 160395 164280 167042 167280 168387 171088 171462 176868 177735 181781 182040 186184 186591 189584 192474 196520 197136 201433 201720 206312 208080 209457 213282 213860 218448 221085 224516 226440 228616 232101 232730 235824 236980 242064 246420 248788 250563 250920 256632 257193 257890 273060 279276 280645 284376 285770 294780 302580 309468 310985 320790 328560 334084 336774 342924 349095 353736 355470 363562 364080 372368 373182 384948 386835 393040 395641 402866 403440 412624 417605 418914 426564 427720 428655 438413 442170 449032 452880 457232 464202 465460 473960 481185 485809 492840 497576 501126 501840 505161 513264 514386 515780 533205 545343 546120 558552 559773 561290 568752 571540 589560 604299 605160 618936 621970 641580 668168 673548 685848 698190 707472 710940 727124 746364 751689 769896 773670 791282 805732 835210 837828 841935 853128 855440 857310 876826 884340 898064 908905 928404 930920 932955 947920 954193 962370 971618 985680 995152 1002252 1007165 1010322 1028772 1031560 1047285 1057349 1066410 1090686 1092240 1117104 1119546 1122580 1143080 1160505 1179120 1186923 1208598 1210320 1237872 1243940 1252815 1283160 1285965 1315239 1336336 1347096 1371696 1396380 1421880 1454248 1457427 1492728 1503378 1539792 1547340 1582564 1611464 1636029 1670420 1675656 1683870 1706256 1714620 1753652 1768680 1812897 1817810 1856808 1861840 1865910 1908386 1924740 1943236 1978205 2004504 2014330 2020644 2057544 2063120 2094570 2114698 2132820 2181372 2192065 2239092 2245160 2286160 2301289 2321010 2373846 2417196 2429045 2487880 2505630 2525805 2566320 2571930 2630478 2694192 2726715 2792760 2798865 2843760 2862579 2908496 2914854 2985456 3006756 3021495 3090277 3094680 3165128 3172047 3222928 3272058 3340840 3351312 3367740 3424361 3429240 3507304 3537360 3560769 3625794 3635620 3713616 3731820 3758445 3816772 3849480 3886472 3945717 3956410 4009008 4028660 4041288 4115088 4189140 4229396 4265640 4362744 4372281 4384130 4478184 4490320 4602578 4642020 4747692 4770965 4834392 4858090 4975760 5011260 5051610 5143860 5260956 5286745 5453430 5585520 5597730 5725158 5829708 5934615 6013512 6042990 6180554 6189360 6330256 6344094 6544116 6576195 6681680 6725897 6735480 6848722 6858480 6903867 7014608 7121538 7251588 7271240 7287135 7453021 7463640 7516890 7633544 7698960 7772944 7891434 7912820 8057320 8082576 8180145 8258753 8378280 8458792 8531280 8587737 8725488 8744562 8768260 8956368 9064485 9205156 9270831 9284040 9495384 9516141 9541930 9668784 9716180 10022520 10103220 10273083 10287720 10521912 10573490 10906860 11195460 11450316 11506445 11659416 11869230 12027024 12085980 12361108 12688188 13088232 13152390 13451794 13470960 13697444 13807734 14243076 14312895 14503176 14542480 14574270 14906042 14927280 15033780 15267088 15451385 15782868 15825640 15860235 16114640 16221281 16360290 16517506 16756560 16917584 17121805 17175474 17489124 17536520 17803845 17974933 18128970 18410312 18541662 18568080 18990768 19032282 19083860 19432360 19728585 20045040 20177691 20206440 20546166 20575440 20711601 21043824 21146980 21813720 21861405 22359063 22390920 22900632 23012890 23318832 23738460 24171960 24722216 24776259 25376376 26176464 26304780 26903588 27394888 27615468 27812493 28486152 28625790 29006352 29148540 29812084 30067560 30819249 30902770 31565736 31651280 31720470 32442562 32720580 33035012 33629485 34243610 34350948 34519335 34978248 35073040 35607690 35949866 36257940 36820624 37083324 37265105 38064564 38167720 38864720 39121913 39457170 40355382 40412880 41092332 41293765 41423202 42293960 42938685 43627440 43722810 44718126 44781840 45801264 46025780 46354155 47476920 47580705 48343920 48663843 49444432 49552518 50752752 51365415 52609560 53807176 53924799 54789776 55230936 55624986 56972304 57251580 58297080 59624168 60135120 60533073 61638498 61805540 63131472 63440940 64885124 65441160 66070024 67077189 67258970 68487220 68701896 69038670 69956496 71215380 71899732 72515880 74166648 74328777 74530210 76129128 76335440 78243826 78914340 80710764 81106405 82184664 82587530 82846404 84587920 85877370 87445620 89436252 89874665 92051560 92708310 94953840 95161410 97327686 99105036 100888455 102730830 103558005 105219120 107614352 107849598 110461872 111249972 111795315 114340249 114503160 116594160 117365739 119248336 121066146 123276996 123611080 123881295 126701357 126881880 129770248 130882320 132140048 134154378 134517940 136974440 137403792 138077340 139062465 140398801 142430760 143799464 145031760 145991529 148333296 148657554 149060420 152258256 154096245 156487652 157828680 161421528 161774397 162212810 164369328 165175060 165692808 171754740 174891240 178872504 179749330 184103120 185416620 190322820 194655372 195609565 198210072 201776910 205461660 207116010 215699196 222499944 223590630 228680498 229006320 234731478 242132292 243319215 246553992 247222160 247762590 253402714 253763760 259540496 268308756 269035880 269623995 273948880 275761777 276154680 278124930 280797602 284861520 287598928 291983058 297315108 298120840 302665365 305573861 308192490 312975304 315657360 322843056 323548794 324425620 330350120 331385616 335385945 343020747 343509480 349782480 352097217 357745008 359498660 370833240 371643885 380104071 380645640 389310744 391219130 396420144 403553820 410923320 414232020 421196403 431398392 444999888 447181260 457360996 469462956 484264584 486638430 493107984 495525180 506805428 536617512 538071760 539247990 551523554 552309360 556249860 561595204 571701245 583966116 586828695 594630216 596241680 605330730 611147722 616384980 625950608 633506785 647097588 648851240 660700240 665072521 670771890 686041494 687018960 701994005 704194434 718997320 729957645 741666480 743287770 760208142 761291280 778621488 782438260 807107640 808871985 821846640 827285331 828464040 842392806 862796784 894362520 914721992 916721583 938925912 968529168 973276860 991050360 1013610856 1029062241 1073235024 1078495980 1103047108 1112499720 1123190408 1140312213 1143402490 1167932232 1173657390 1189260432 1210661460 1222295444 1232769960 1263589209 1267013570 1294195176 1297702480 1330145042 1341543780 1372082988 1378808885 1403988010 1408388868 1437994640 1459915290 1486575540 1520416284 1527869305 1564876520 1614215280 1617743970 1654570662 1656928080 1684785612 1715103735 1760486085 1788725040 1829443984 1833443166 1877851824 1900520355 1946553720 1982100720 1995217563 2027221712 2058124482 2105982015 2156991960 2206094216 2224999440 2246380816 2280624426 2286804980 2335864464 2347314780 2421322920 2444590888 2465539920 2481855993 2527178418 2534027140 2588390352 2660290084 2683087560 2744165976 2750164749 2757617770 2807976020 2816777736 2919830580 2973151080 3040832568 3055738610 3129753040 3235487940 3309141324 3325362605 3369571224 3430207470 3520972170 3666886332 3801040710 3893107440 3990435126 4116248964 4136426655 4211964030 4313983920 4412188432 4561248852 4573609960 4583607915 4687950209 4694629560 4842645840 4889181776 4963711986 5054356836 5068054280 5145311205 5194755637 5320580168 5366175120 5488331952 5500329498 5515235540 5615952040 5633555472 5701561065 5839661160 5946302160 5985652689 6081665136 6111477220 6317946045 6470975880 6618282648 6650725210 6739142448 6860414940 7041944340 7333772664 7602081420 7980870252 8232497928 8272853310 8423928060 9122497704 9147219920 9167215830 9375900418 9389259120 9927423972 9976087815 10108713672 10136108560 10290622410 10389511274 10641160336 11000658996 11030471080 11231904080 11306232857 11403122130 11679322320 11971305378 12222954440 12409279965 12635892090 12941951760 13236565296 13301450420 13720829880 13750823745 14063850627 14083888680 14667545328 15204162840 15584266911 15961740504 16464995856 16545706620 16847856120 18244995408 18334431660 18751800836 19854847944 19952175630 20217427344 20581244820 20779022548 22001317992 22060942160 22612465714 22806244260 23439751045 23942610756 24445908880 24818559930 25271784180 25973778185 26602900840 27441659760 27501647490 28127701254 28167777360 29928263445 30408325680 31168533822 31923481008 33091413240 33695712240 33918698571 36668863320 37503601672 39709695888 39904351260 41162489640 41558045096 42191551881 44002635984 45224931428 45612488520 46752800733 46879502090 47885221512 49637119860 50543568360 51947556370 53205801680 55003294980 56255402508 56531164285 59856526890 62337067644 66182826480 67837397142 70319253135 73337726640 75007203344 77921334555 79808702520 82324979280 83116090192 84383103762 90449862856 91224977040 93505601466 93759004180 95770443024 99274239720 101087136720 101756095713 103895112740 110006589960 112510805016 113062328570 119713053780 124674135288 135674794284 140638506270 155842669110 159617405040 168766207524 169593492855 180899725712 187011202932 187518008360 192205958569 198548479440 203512191426 207790225480 210957759405 220013179920 225021610032 226124657140 233764003665 239426107560 249348270576 271349588568 281277012540 311685338220 337532415048 339186985710 374022405864 375036016720 384411917138 407024382852 415580450960 421915518810 452249314280 467528007330 478852215120 508780478565 542699177136 562554025080 576617875707 623370676440 675064830096 678373971420 748044811728 768823834276 814048765704 843831037620 904498628560 935056014660 961029792845 1017560957130 1125108050160 1153235751414 1246741352880 1356747942840 1537647668552 1628097531408 1687662075240 1729853627121 1870112029320 1922059585690 2035121914260 2306471502828 2713495885680 2883089378535 3075295337104 3375324150480 3459707254242 3740224058640 3844119171380 4070243828520 4612943005656 5766178757070 6919414508484 7688238342760 8140487657040 8649268135605 9225886011312 11532357514140 13838829016968 15376476685520 17298536271210 23064715028280 27677658033936 34597072542420 46129430056560 69194145084840 138388290169680
- Sum of all divisors σ(n): 520187593179618
- Sum of proper divisors (its aliquot sum) s(n): 381799303009938
- 138388290169680 is an abundant number, because the sum of its proper divisors (381799303009938) is greater than itself. Its abundance is 243411012840258
Bases of 138388290169680
- Binary: 111110111011101000010001110000001101011010100002
- Hexadecimal: 0x7DDD08E06B50
- Base-36: 1D1YPAVXW0
Squares and roots of 138388290169680
- 138388290169680 squared (1383882901696802) is 19151318856087550123191302400
- 138388290169680 cubed (1383882901696803) is 2650318270988307935338669186911996191232000
-
The
square root of 138388290169680 is 11763855.2426353837 -
The
cube root of 138388290169680 is 51724.9144657279
Scales and comparisons
How big is 138388290169680?- 138,388,290,169,680 seconds is equal to 4,400,319 years, 29 weeks, 2 days, 9 hours, 48 minutes.
-
To count from 1 to 138,388,290,169,680 would take you about eleven million, seven hundred ninety-eight 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 138388290169680 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138388290169680
- 138388290169680 backwards is 086961092883831
- 138388290169680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138388290169680's digits is 72
- More coming soon!
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"Number 138388290169680 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
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Numbermatics. (2024). Number 138388290169680 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/138388290169680/
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The information we have on file for 138388290169680 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 138388290169680, math, Factors of 138388290169680, curriculum, school, college, exams, university, Prime factorization of 138388290169680, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred eighty-eight billion, two hundred ninety million, one hundred sixty-nine thousand, six hundred eighty.