138537895969968
138,537,895,969,968 is an even composite number composed of seven prime numbers multiplied together.
138537895969968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138537895969968:
24 × 3 × 113 × 312 × 61 × 71 × 521
(2 × 2 × 2 × 2 × 3 × 11 × 11 × 11 × 31 × 31 × 61 × 71 × 521)See below for interesting mathematical facts about the number 138537895969968 from the Numbermatics database.
Names of 138537895969968
- Cardinal: 138537895969968 can be written as One hundred thirty-eight trillion, five hundred thirty-seven billion, eight hundred ninety-five million, nine hundred sixty-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38537895969968 × 1014
Factors of 138537895969968
Divisors of 138537895969968
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 61 62 66 71 88 93 121 122 124 132 142 176 183 186 213 242 244 248 264 284 341 363 366 372 426 484 488 496 521 528 568 671 682 726 732 744 781 852 961 968 976 1023 1042 1136 1331 1342 1364 1452 1464 1488 1562 1563 1704 1891 1922 1936 2013 2046 2084 2201 2343 2662 2684 2728 2883 2904 2928 3124 3126 3408 3751 3782 3844 3993 4026 4092 4168 4331 4402 4686 5324 5368 5456 5673 5731 5766 5808 6248 6252 6603 7381 7502 7564 7688 7986 8052 8184 8336 8591 8662 8804 9372 10571 10648 10736 11253 11346 11462 11532 12496 12504 12993 13206 14762 15004 15128 15376 15972 16104 16151 16368 17182 17193 17324 17608 18744 20801 21142 21296 22143 22506 22692 22924 23064 24211 25008 25773 25986 26412 29524 30008 30256 31713 31781 31944 32208 32302 34364 34386 34648 35216 36991 37488 41261 41602 42284 44286 45012 45384 45848 46128 47641 48422 48453 51546 51972 52824 58621 59048 60016 62403 63041 63426 63562 63888 64604 68231 68728 68772 69296 72633 73982 81191 82522 83204 84568 88572 90024 90768 91696 94501 95282 95343 96844 96906 103092 103944 105648 110973 116281 117242 118096 123783 124806 126082 126852 127124 129208 134261 136462 137456 137544 142923 145266 147964 162382 165044 166408 169136 175863 177144 177661 180048 189002 189123 190564 190686 193688 193812 204693 206184 207888 221946 228811 232562 234484 243573 247566 249612 252164 253704 254248 258416 266321 268522 272924 275088 283503 285846 290532 295928 324764 330088 332816 348843 349591 351726 354288 355322 378004 378246 381128 381372 387376 387624 402783 406901 409386 412368 443892 457622 465124 468968 487146 495132 499224 500681 504328 507408 508496 524051 532642 532983 537044 545848 567006 571692 581064 591856 644831 649528 660176 686433 693451 697686 699182 703452 710644 750541 756008 756492 762256 762744 775248 798963 805566 813802 818772 887784 915244 930248 937936 974292 985211 990264 998448 1001362 1008656 1048102 1048773 1065284 1065966 1074088 1091696 1134012 1143384 1146721 1162128 1220703 1279091 1289662 1299056 1372866 1386902 1395372 1398364 1406904 1421288 1476871 1501082 1502043 1512016 1512984 1525488 1572153 1597926 1611132 1627604 1637544 1775568 1830488 1860496 1934493 1948584 1954271 1970422 1980528 2002724 2080353 2096204 2097546 2130568 2131932 2148176 2251623 2256451 2268024 2286768 2293442 2441406 2516921 2558182 2579324 2745732 2773804 2790744 2796728 2813808 2842576 2929531 2953742 2955633 3002164 3004086 3025968 3144306 3195852 3222264 3255208 3275088 3440163 3660976 3837273 3845501 3868986 3897168 3908542 3940844 4005448 4160706 4162091 4192408 4195092 4261136 4263864 4430613 4475911 4503246 4512902 4536048 4586884 4882812 5033842 5116364 5158648 5491464 5507491 5547608 5581488 5593456 5764561 5859062 5862813 5907484 5911266 6004328 6008172 6288612 6391704 6444528 6510416 6769353 6880326 7093141 7550763 7674546 7691002 7737972 7817084 7881688 8010896 8255951 8321412 8324182 8384816 8390184 8527728 8788593 8861226 8951822 9006492 9025804 9173768 9765624 10067684 10232728 10317296 10837321 10982928 11014982 11095216 11529122 11536503 11718124 11725626 11814968 11822532 12008656 12016344 12486273 12577224 12613931 12783408 13427733 13538706 13760652 14186282 15101526 15349092 15382004 15475944 15634168 15763376 16245581 16511902 16522473 16642824 16648364 16780368 17293683 17577186 17722452 17903644 18012984 18051608 18347536 19531248 20135368 20465456 21279423 21496981 21674642 22029964 23058244 23073006 23436248 23451252 23629936 23645064 24032688 24767853 24820961 24972546 25154448 25227862 26855466 27077412 27521304 28372564 30203052 30541541 30698184 30764008 30951888 31268336 32491162 32511963 33023804 33044946 33285648 33296728 34587366 35154372 35444904 35548351 35807288 36025968 36103216 37841793 40270736 42300511 42558846 42993962 43349284 44059928 45783001 46116488 46146012 46872496 46902504 47290128 48736743 49235021 49535706 49641922 49945092 50455724 53710932 54154824 55042608 56745128 60406104 60582401 61083082 61396368 61528016 64490943 64982324 65023926 66047608 66089892 66593456 69174732 69949981 70308744 70889808 71096702 71614576 74462883 75683586 78024551 84601022 85117692 85987924 86698568 88119856 90815461 91566002 91624623 92232976 92292024 93805008 97473486 98470042 99071412 99283844 99890184 100911448 106645053 107421864 108309648 113490256 119210531 120812208 121164802 122166164 126901533 128981886 129964648 130047852 132095216 132179784 137349003 138349464 138753241 139899962 140617488 142193404 147705063 148925766 151367172 156049102 169202044 170235384 171975848 173397136 178701391 181630922 181747203 183132004 183249246 184584048 194946972 196940084 198142824 198567688 199780368 201822896 209849943 213290106 214843728 234073653 238421062 242329604 244332328 253803066 257963772 259929296 260095704 264359568 272446383 273030571 274698006 276698928 277506482 279799924 284386808 295410126 297851532 302734344 312098204 335956951 338404088 340470768 343951696 357402782 357631593 363261844 363494406 366264008 366498492 389893944 391031861 393880168 396285648 397135376 416259723 419699886 426580212 468147306 476842124 484659208 488664656 503613011 507606132 515927544 520191408 536104173 544892766 546061142 549396012 555012964 559599848 568773616 590820252 595703064 605468688 624196408 666406411 671913902 676808176 714805564 715263186 726523688 726988812 732528016 732996984 769449791 779787888 782063722 787760336 819091713 832519446 839399772 853160424 936294612 953684248 969318416 1007226022 1007870853 1015212264 1031855088 1072208346 1089785532 1092122284 1098792024 1110025928 1119199696 1173095583 1181640504 1191406128 1248392816 1311315841 1332812822 1343827804 1429611128 1430526372 1453047376 1453977624 1465993968 1510839033 1526285651 1538899582 1564127444 1638183426 1665038892 1678799544 1706320848 1872589224 1907368496 1999219233 2014452044 2015741706 2030424528 2144416692 2168449411 2179571064 2184244568 2197584048 2220051856 2308349373 2346191166 2363281008 2622631682 2665625644 2687655608 2859222256 2861052744 2907955248 3003336281 3021678066 3052571302 3077799164 3128254888 3276366852 3330077784 3357599088 3695526461 3745178448 3933947523 3998438466 4028904088 4031483412 4288833384 4301350471 4336898822 4359142128 4368489136 4578856953 4616698746 4692382332 5245263364 5331251288 5375311216 5539743121 5722105488 6006672562 6043356132 6105142604 6155598328 6256509776 6505348233 6552733704 6660155568 7391052922 7867895046 7996876932 8057808176 8062966824 8463947701 8577666768 8602700942 8673797644 9010008843 9157713906 9233397492 9384764664 10490526728 10662502576 11079486242 11086579383 12013345124 12086712264 12210285208 12311196656 12904051413 13010696466 13105467408 14782105844 15735790092 15993753864 16125933648 16619229363 16927895402 17205401884 17347595288 18020017686 18315427812 18466794984 18769529328 20981053456 22158972484 22173158766 23852943521 24026690248 24173424528 24420570416 25391843103 25808102826 26021392932 29564211688 31471580184 31987507728 33238458726 33855790804 34410803768 34695190576 36040035372 36630855624 36933589968 40650791071 44317944968 44346317532 47314855181 47705887042 48053380496 50783686206 51616205652 52042785864 59128423376 62943160368 66476917452 67711581608 68821607536 71558830563 72080070744 73261711248 81301582142 88635889936 88692635064 93103424711 94629710362 95411774084 101567372412 103232411304 104085571728 121952373213 132953834904 135423163216 141944565543 143117661126 144160141488 162603164284 177385270128 186206849422 189259420724 190823548168 203134744824 206464822608 243904746426 262382378731 265907669808 279310274133 283889131086 286235322252 325206328568 372413698844 378518841448 381647096336 406269489648 487809492852 524764757462 558620548266 567778262172 572470644504 650412657136 744827397688 757037682896 787147136193 975618985704 1049529514924 1117241096532 1135556524344 1144941289008 1489654795376 1574294272386 1951237971408 2099059029848 2234482193064 2271113048688 2886206166041 3148588544772 4198118059696 4468964386128 5772412332082 6297177089544 8658618498123 11544824664164 12594354179088 17317236996246 23089649328328 34634473992492 46179298656656 69268947984984 138537895969968
- Sum of all divisors σ(n): 420055523011584
- Sum of proper divisors (its aliquot sum) s(n): 281517627041616
- 138537895969968 is an abundant number, because the sum of its proper divisors (281517627041616) is greater than itself. Its abundance is 142979731071648
Bases of 138537895969968
- Binary: 111110111111111110111100001001111000100101100002
- Hexadecimal: 0x7DFFDE13C4B0
- Base-36: 1D3VFIBG6O
Squares and roots of 138537895969968
- 138537895969968 squared (1385378959699682) is 19192748619785675815557921024
- 138537895969968 cubed (1385378959699683) is 2658923011665614871876075028706290019807232
-
The
square root of 138537895969968 is 11770212.2313052623 -
The
cube root of 138537895969968 is 51743.5469679261
Scales and comparisons
How big is 138537895969968?- 138,537,895,969,968 seconds is equal to 4,405,076 years, 29 weeks, 3 days, 32 minutes, 48 seconds.
-
To count from 1 to 138,537,895,969,968 would take you about eleven million, twelve thousand, six hundred ninety-one 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 138537895969968 cubic inches would be around 4312 feet tall.
Recreational maths with 138537895969968
- 138537895969968 backwards is 869969598735831
- The number of decimal digits it has is: 15
- The sum of 138537895969968's digits is 96
- 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 138537895969968 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 138537895969968 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138537895969968/
Chicago style:
Numbermatics. 2024. "Number 138537895969968 - Facts about the integer". https://numbermatics.com/n/138537895969968/
The information we have on file for 138537895969968 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 138537895969968, math, Factors of 138537895969968, curriculum, school, college, exams, university, Prime factorization of 138537895969968, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred thirty-seven billion, eight hundred ninety-five million, nine hundred sixty-nine thousand, nine hundred sixty-eight.