138689978162112
138,689,978,162,112 is an even composite number composed of six prime numbers multiplied together.
What does the number 138689978162112 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2016 divisors.
138689978162112 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138689978162112:
26 × 33 × 13 × 173 × 192 × 592
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 17 × 17 × 17 × 19 × 19 × 59 × 59)See below for interesting mathematical facts about the number 138689978162112 from the Numbermatics database.
Names of 138689978162112
- Cardinal: 138689978162112 can be written as One hundred thirty-eight trillion, six hundred eighty-nine billion, nine hundred seventy-eight million, one hundred sixty-two thousand, one hundred twelve.
Scientific notation
- Scientific notation: 1.38689978162112 × 1014
Factors of 138689978162112
Divisors of 138689978162112
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 19 24 26 27 32 34 36 38 39 48 51 52 54 57 59 64 68 72 76 78 96 102 104 108 114 117 118 136 144 152 153 156 171 177 192 204 208 216 221 228 234 236 247 272 288 289 304 306 312 323 342 351 354 361 408 416 432 442 456 459 468 472 494 513 531 544 576 578 608 612 624 646 663 684 702 708 722 741 767 816 832 864 867 884 912 918 936 944 969 988 1003 1026 1062 1083 1088 1121 1156 1216 1224 1248 1292 1326 1368 1404 1416 1444 1482 1534 1593 1632 1728 1734 1768 1824 1836 1872 1888 1938 1976 1989 2006 2052 2124 2166 2223 2242 2301 2312 2448 2496 2584 2601 2652 2736 2808 2832 2888 2907 2964 3009 3068 3186 3249 3264 3363 3468 3481 3536 3648 3672 3744 3757 3776 3876 3952 3978 4012 4104 4199 4248 4332 4446 4484 4602 4624 4693 4896 4913 5168 5202 5304 5472 5491 5616 5664 5776 5814 5928 5967 6018 6136 6137 6372 6498 6669 6726 6903 6936 6962 7072 7344 7488 7514 7752 7803 7904 7956 8024 8208 8398 8496 8664 8721 8892 8968 9027 9204 9248 9386 9747 9792 9826 10089 10336 10404 10443 10608 10944 10982 11232 11271 11328 11552 11628 11856 11934 12036 12272 12274 12597 12744 12996 13039 13338 13452 13806 13872 13924 14079 14144 14573 14688 14739 15028 15504 15606 15808 15912 16048 16416 16473 16796 16992 17051 17328 17442 17784 17936 18054 18408 18411 18496 18772 19057 19494 19652 20178 20672 20709 20808 20886 21216 21299 21964 22464 22542 23104 23256 23712 23868 24072 24544 24548 25194 25488 25992 26078 26676 26904 27081 27612 27744 27848 28158 29146 29376 29478 30056 30267 31008 31212 31329 31824 32096 32832 32946 33592 33813 33984 34102 34656 34884 35568 35872 36108 36816 36822 37544 37791 38114 38988 39117 39304 40356 41418 41616 41772 42237 42432 42598 43719 43928 44217 45084 45253 46512 47424 47736 48144 49088 49096 49419 50388 50976 51153 51984 52156 53352 53808 54162 55224 55233 55488 55696 56316 57171 58292 58956 59177 60112 60534 62016 62424 62658 63648 63869 63897 64192 65892 66139 67184 67626 68204 69312 69768 71136 71383 71744 72216 73632 73644 75088 75582 76228 77976 78234 78608 79781 80712 82836 83232 83544 84474 85196 87438 87856 88434 90168 90506 93024 93347 93987 95472 96288 98192 98838 100776 101439 101952 102306 103968 104312 104329 106704 107616 108324 110448 110466 111392 112632 113373 114342 116584 117351 117912 118354 120224 121068 124848 125316 126711 127296 127738 127794 131157 131784 132278 132651 134368 135252 135759 136408 139536 142272 142766 144432 147264 147288 148257 150176 151164 152456 153459 155952 156468 157216 159562 161424 165672 165699 166464 167088 168948 170392 171513 174876 175712 176868 177531 180336 181012 186048 186694 187974 190944 191607 191691 192576 196384 197676 198417 201552 202878 204612 207936 208624 208658 213408 214149 215232 216648 220896 220932 221663 222784 225264 226746 228684 233168 234702 235824 236708 239343 240448 242136 247741 249696 250632 253422 255476 255588 262314 263568 264556 265302 268736 270504 271518 272816 276887 279072 280041 285532 288864 289867 294576 296514 300352 302328 304912 306918 311904 312936 312987 314432 319124 322848 323969 331344 331398 334176 337896 340784 343026 349752 351424 352053 353736 355062 360672 362024 362083 373388 375948 381888 383214 383382 392768 393471 395352 396834 403104 405756 407277 409224 417248 417316 426816 428298 433296 441792 441864 443326 450528 453492 457368 460377 466336 469404 471648 473416 478686 484272 495482 499392 501264 506844 510952 511176 514539 524628 527136 529112 530604 532593 541008 543036 545632 553774 558144 560082 571064 574821 575073 577728 579734 589152 593028 595251 604656 609824 613836 623808 625872 625974 638248 642447 645696 647938 662688 662796 664989 668352 675792 681568 686052 699504 704106 707472 710124 718029 721344 724048 724166 743223 746776 751896 766428 766764 769301 786942 790704 793668 806208 811512 814554 818448 830661 834496 834632 840123 856596 859807 866592 869601 883728 886652 901056 906984 914736 920754 932672 938808 938961 943296 946832 957372 968544 971907 990964 1002528 1006009 1013688 1021904 1022352 1029078 1049256 1054272 1058224 1061208 1065186 1082016 1086072 1086249 1091264 1107548 1120164 1124363 1142128 1149642 1150146 1159468 1178304 1186056 1190502 1209312 1213511 1219648 1221831 1227672 1251744 1251948 1256641 1276496 1284894 1295876 1325376 1325592 1329978 1351584 1356277 1363136 1372104 1399008 1408212 1414944 1420248 1436058 1448096 1448332 1486446 1493552 1503792 1532856 1533528 1538602 1573884 1581408 1587336 1597779 1623024 1629108 1636896 1661322 1669264 1680246 1713192 1719614 1724463 1733184 1739202 1767456 1773304 1773593 1785753 1813968 1829472 1841508 1877616 1877922 1893664 1914744 1927341 1937088 1943814 1981928 1994967 2005056 2012018 2027376 2043808 2044704 2058156 2098512 2116448 2122416 2130372 2154087 2164032 2172144 2172498 2215096 2229669 2240328 2248726 2284256 2299284 2300292 2307903 2318936 2372112 2381004 2418624 2427022 2443662 2455344 2491983 2503488 2503896 2513282 2520369 2552992 2569788 2579421 2591752 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2824873272 2825333649 2880732348 2905353992 2924468163 2981810676 3064768704 3076257168 3136575936 3157211304 3172304448 3255786144 3268523241 3283613376 3320166096 3332611932 3348543584 3436663152 3528647928 3545516736 3557247824 3638819808 3669920832 3694065048 3766497696 3767111532 3840976464 3866246046 3899290884 3975747568 4001903802 4066916256 4081037493 4101676224 4128660936 4209615072 4224231791 4321098522 4358030988 4426888128 4443482576 4472716014 4582217536 4614385752 4704863904 4721200237 4758456672 4925420064 4980249144 4998917898 5022815376 5121301952 5154994728 5199054512 5318275104 5335871736 5441383324 5504881248 5649746544 5650667298 5761464696 5810707984 5848936326 5963621352 6002855703 6152514336 6173877233 6314422608 6511572288 6537046482 6640332192 6665223864 6697087168 6709074021 6873326304 7057295856 7114495648 7277639616 7388130096 7498376847 7532995392 7534223064 7681952928 7732492092 7798581768 7951495136 8003807604 8133832512 8162074986 8257321872 8419230144 8448463582 8642197044 8716061976 8773404489 8886965152 8945432028 9228771504 9409727808 9442400474 9516913344 9805569723 9850840128 9960498288 9997835796 10045630752 10309989456 10398109024 10636550208 10671743472 10882766648 11009762496 11299493088 11301334596 11522929392 11621415968 11697872652 11927242704 12005711406 12243112479 12305028672 12347754466 12628845216 12672695373 13074092964 13280664384 13330447728 13418148042 13746652608 14114591712 14163600711 14228991296 14776260192 14996753694 15068446128 15363905856 15464984184 15597163536 15902990272 16007615208 16324149972 16514643744 16896927164 17284394088 17432123952 17546808978 17773930304 17890864056 18457543008 18521631699 18884800948 19611139446 19920996576 19995671592 20091261504 20619978912 20796218048 21343486944 21765533296 22598986176 22602669192 23045858784 23242831936 23395745304 23854485408 24011422812 24486224958 24695508932 25257690432 25345390746 26148185928 26660895456 26836296084 28229183424 28327201422 29552520384 29993507388 30136892256 30929968368 31194327072 32015230416 32648299944 33029287488 33793854328 34568788176 34864247904 35093617956 35781728112 36729337437 36915086016 37043263398 37769601896 38018086119 39222278892 39841993152 39991343184 41239957824 42490802133 42686973888 43531066592 45205338384 46091717568 46791490608 47708970816 48022845624 48972449916 49391017864 50690781492 52296371856 53321790912 53672592168 55564895097 56654402844 59987014776 60273784512 61859936736 62388654144 64030460832 65296599888 67587708656 69137576352 69728495808 70187235912 71563456224 73458674874 74086526796 75539203792 76036172238 78444557784 79982686368 80260404029 84981604266 87062133184 90410676768 93582981216 96045691248 97944899832 98782035728 101381562984 104592743712 107345184336 111129790194 113308805688 114054258357 119974029552 123719873472 127472406399 128060921664 130593199776 135175417312 138275152704 140374471824 143126912448 146917349748 148173053592 151078407584 152072344476 156889115568 159965372736 160520808058 166694685291 169963208532 180821353536 187165962432 192091382496 195889799664 197564071456 202763125968 209185487424 214690368672 222259580388 226617611376 228108516714 239948059104 240781212087 254944812798 261186399552 270350834624 280748943648 293834699496 296346107184 302156815168 304144688952 313778231136 321041616116 333389370582 339926417064 384182764992 391779599328 395128142912 405526251936 429380737344 444519160776 453235222752 456217033428 479896118208 481562424174 509889625596 561497887296 587669398992 592692214368 608289377904 627556462272 642083232232 666778741164 679852834128 722343636261 783559198656 811052503872 889038321552 906470445504 912434066856 963124848348 1019779251192 1175338797984 1185384428736 1216578755808 1284166464464 1333557482328 1359705668256 1444687272522 1778076643104 1824868133712 1926249696696 2039558502384 2167030908783 2350677595968 2433157511616 2568332928928 2667114964656 2719411336512 2889374545044 3556153286208 3649736267424 3852499393392 4079117004768 4334061817566 5136665857856 5334229929312 5778749090088 7299472534848 7704998786784 8158234009536 8668123635132 10668459858624 11557498180176 15409997573568 17336247270264 23114996360352 34672494540528 46229992720704 69344989081056 138689978162112
- Sum of all divisors σ(n): 500856314414400
- Sum of proper divisors (its aliquot sum) s(n): 362166336252288
- 138689978162112 is an abundant number, because the sum of its proper divisors (362166336252288) is greater than itself. Its abundance is 223476358090176
Bases of 138689978162112
- Binary: 111111000100011010001101110000111011011110000002
- Hexadecimal: 0x7E2346E1DBC0
- Base-36: 1D5TAO4MO0
Squares and roots of 138689978162112
- 138689978162112 squared (1386899781621122) is 19234910042607103453352300544
- 138689978162112 cubed (1386899781621123) is 2667689253759367977416277343726596177788928
-
The
square root of 138689978162112 is 11776670.9286670653 -
The
cube root of 138689978162112 is 51762.4741459669
Scales and comparisons
How big is 138689978162112?- 138,689,978,162,112 seconds is equal to 4,409,912 years, 16 weeks, 13 hours, 55 minutes, 12 seconds.
-
To count from 1 to 138,689,978,162,112 would take you about eleven million, twenty-four thousand, seven hundred eighty 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 138689978162112 cubic inches would be around 4313.5 feet tall.
Recreational maths with 138689978162112
- 138689978162112 backwards is 211261879986831
- 138689978162112 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138689978162112's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 138689978162112 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 138689978162112 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138689978162112/
Chicago style:
Numbermatics. 2024. "Number 138689978162112 - Facts about the integer". https://numbermatics.com/n/138689978162112/
The information we have on file for 138689978162112 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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