138014614163712
138,014,614,163,712 is an even composite number composed of seven prime numbers multiplied together.
138014614163712 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138014614163712:
28 × 3 × 11 × 13 × 192 × 1092 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 19 × 19 × 109 × 109 × 293)See below for interesting mathematical facts about the number 138014614163712 from the Numbermatics database.
Names of 138014614163712
- Cardinal: 138014614163712 can be written as One hundred thirty-eight trillion, fourteen billion, six hundred fourteen million, one hundred sixty-three thousand, seven hundred twelve.
Scientific notation
- Scientific notation: 1.38014614163712 × 1014
Factors of 138014614163712
Divisors of 138014614163712
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 19 22 24 26 32 33 38 39 44 48 52 57 64 66 76 78 88 96 104 109 114 128 132 143 152 156 176 192 208 209 218 228 247 256 264 286 293 304 312 327 352 361 384 416 418 429 436 456 494 528 572 586 608 624 627 654 704 722 741 768 832 836 858 872 879 912 988 1056 1083 1144 1172 1199 1216 1248 1254 1308 1408 1417 1444 1482 1664 1672 1716 1744 1758 1824 1976 2071 2112 2166 2288 2344 2398 2432 2496 2508 2616 2717 2816 2834 2888 2964 3223 3328 3344 3432 3488 3516 3597 3648 3809 3952 3971 4142 4224 4251 4332 4576 4688 4693 4796 4864 4992 5016 5232 5434 5567 5668 5776 5928 6213 6446 6688 6864 6976 7032 7194 7296 7618 7904 7942 8151 8284 8448 8502 8664 9152 9376 9386 9592 9669 9984 10032 10464 10868 11134 11336 11427 11552 11856 11881 11913 12426 12892 13376 13728 13952 14064 14079 14388 14592 15236 15587 15808 15884 16302 16568 16701 17004 17328 18304 18752 18772 19184 19338 20064 20928 21736 22268 22672 22781 22854 23104 23712 23762 23826 24852 25784 26752 26923 27456 27904 28128 28158 28776 30472 31174 31616 31768 31937 32604 33136 33402 34008 34656 35643 36608 37504 37544 38368 38676 39349 40128 41856 41899 43472 44536 45344 45562 45708 46208 46761 47424 47524 47652 49704 51568 51623 53504 53846 54912 56256 56316 57552 60944 61237 62348 63232 63536 63874 65208 66272 66804 68016 68343 69312 71286 72371 75008 75088 76736 77352 78698 80256 80769 83712 83798 86944 89072 90688 91124 91416 92416 93522 94848 95048 95304 95811 99408 103136 103246 105773 107692 109824 112512 112632 115104 118047 121888 122474 124696 125697 127072 127748 130416 130691 132544 133608 136032 136686 138624 142572 144742 150176 153472 154453 154704 154869 157396 160512 161538 167596 173888 178144 181376 182248 182832 183711 187044 189696 190096 190608 191622 198816 206272 206492 211546 215384 217113 225024 225264 225739 230208 236094 243776 244948 249392 251394 254144 255496 260832 261382 265088 267216 272064 273372 277248 285144 289484 296153 300352 306944 308906 309408 309738 314792 317319 323076 335192 347776 351307 356288 362752 364496 365664 367422 374088 380192 381216 383244 392073 397632 412544 412984 415181 423092 430768 432839 434226 450528 451478 460416 463359 472188 487552 489896 498784 502788 508288 510992 511537 521664 522764 530176 534432 544128 546744 570288 578968 592306 600704 606803 617812 618816 619476 629584 634638 646152 670384 677217 695552 702614 712576 728992 731328 734844 748176 760384 762432 766488 784146 795264 796081 825088 825968 830362 846184 861536 865678 868452 888459 901056 902956 920832 926718 944376 975104 979792 997568 1005576 1016576 1021984 1023074 1043328 1045528 1053921 1068864 1088256 1093488 1140576 1157936 1163503 1184612 1201408 1213606 1235624 1237632 1238952 1245543 1259168 1269276 1292304 1298517 1340768 1354434 1375049 1405228 1425152 1457984 1462656 1469688 1496352 1520768 1524864 1532976 1534611 1568292 1590528 1592162 1651936 1660724 1692368 1698983 1723072 1731356 1736904 1776918 1802112 1805912 1820409 1853436 1888752 1959584 1995136 2011152 2043968 2046148 2086656 2091056 2107842 2137728 2186976 2281152 2315872 2327006 2369224 2388243 2427212 2471248 2475264 2477904 2483129 2491086 2518336 2538552 2584608 2597034 2681536 2708868 2750098 2810456 2915968 2925312 2934607 2939376 2992704 3041536 3049728 3065952 3069222 3136584 3184324 3303872 3321448 3384736 3397966 3446144 3462712 3473808 3481133 3490509 3553836 3604224 3611824 3640818 3706872 3777504 3919168 3990272 4022304 4087936 4092296 4125147 4182112 4215684 4275456 4289041 4373952 4562304 4566991 4631744 4654012 4738448 4776486 4854424 4942496 4955808 4966258 4982172 5036672 5077104 5096949 5169216 5194068 5363072 5417736 5500196 5620912 5626907 5831936 5869214 5878752 5985408 6131904 6138444 6273168 6368648 6607744 6642896 6674833 6769472 6795932 6892288 6925424 6947616 6962266 6981018 7107672 7223648 7281636 7413744 7449387 7555008 7838336 7888439 8044608 8175872 8184592 8250294 8364224 8431368 8578082 8747904 8803821 9124608 9133982 9263488 9308024 9476896 9552972 9708848 9884992 9911616 9932516 9964344 10073344 10154208 10193898 10338432 10388136 10443399 10726144 10835472 11000392 11241824 11253814 11529257 11738428 11757504 11970816 12263808 12276888 12546336 12737296 12867123 13215488 13285792 13349666 13538944 13591864 13700973 13850848 13895232 13924532 13962036 14215344 14447296 14563272 14827488 14898774 15110016 15125539 15676672 15776878 16089216 16369184 16500588 16728448 16862736 16880721 17156164 17495808 17607642 18267964 18526976 18616048 18953792 19105944 19417696 19769984 19823232 19865032 19928688 20024499 20308416 20387796 20676864 20776272 20886798 21670944 22000784 22483648 22507628 23058514 23476856 23515008 23665317 24527616 24553776 25092672 25474592 25734246 26571584 26699332 27077888 27183728 27401946 27701696 27790464 27849064 27924072 28430688 28894592 29126544 29654976 29797548 30220032 30251078 31553756 32178432 32280677 32738368 33001176 33456896 33725472 33761442 34312328 34587771 35215284 36535928 37232096 37907584 38211888 38292463 38835392 39539968 39646464 39730064 39857376 40048998 40616832 40775592 41552544 41773596 43341888 44001568 44967296 45015256 45254729 45376617 46117028 46953712 47030016 47179451 47330634 49107552 50185344 50949184 51468492 53143168 53398664 54367456 54803892 55403392 55580928 55698128 55757533 55848144 56861376 57789184 58253088 59309952 59595096 60502156 63107512 64561354 65476736 66002352 66141527 67450944 67522884 68624656 69175542 70430568 73071856 74464192 75815168 76423776 76584926 77670784 79460128 79714752 80097996 81233664 81551184 83105088 83547192 86683776 86772829 88003136 89934592 90030512 90509458 90753234 92234056 93907424 94358902 94661268 96842031 98215104 100370688 101898368 102936984 106286336 106797328 108734912 109607784 110806784 111396256 111515066 111696288 113722752 114877389 116506176 118619904 119190192 121004312 126215024 126821827 129122708 130953472 132004704 132283054 134901888 135045768 135764187 137249312 138351084 140861136 141538353 146143712 148928384 149880341 152847552 153169852 155341568 158920256 159429504 160195992 163102368 166210176 167094384 167272599 173367552 173545658 176006272 180061024 181018916 181506468 184468112 187814848 188717804 189322536 193684062 196430208 198424581 203796736 205873968 213594656 217469824 219215568 222792512 223030132 223392576 227445504 229754778 233012352 238380384 242008624 252430048 253643654 258245416 260318487 264009408 264566108 269803776 270091536 271528374 274498624 276702168 281722272 283076706 292287424 297856768 299760682 305695104 306339704 317840512 318859008 320391984 326204736 332420352 334188768 334545198 347091316 352012544 360122048 362037832 363012936 368936224 375629696 377435608 378645072 380465481 387368124 392860416 396849162 411747936 427189312 434939648 438431136 445585024 446060264 446785152 449641023 459509556 466024704 476760768 484017248 497802019 504860096 507287308 516490832 520636974 528018816 529132216 540183072 543056748 548997248 553404336 563444544 566153412 584574848 599521364 611390208 612679408 613332863 635681024 640783968 652409472 668377536 669090396 694182632 720244096 724075664 726025872 727556797 737872448 751259392 754871216 757290144 760930962 774736248 793698324 823495872 854378624 859839851 876862272 891170048 892120528 893570304 899282046 919019112 953521536 968034496 995604038 1009720192 1014574616 1032981664 1041273948 1056037632 1058264432 1080366144 1086113496 1097994496 1106808672 1126889088 1132306824 1169149696 1199042728 1225358816 1226665726 1256689013 1281567936 1304818944 1336755072 1338180792 1388365264 1440488192 1448151328 1452051744 1455113594 1475744896 1493406057 1509742432 1514580288 1521861924 1549472496 1587396648 1646991744 1648683751 1708757248 1719679702 1753724544 1784241056 1798564092 1838038224 1839998589 1907043072 1936068992 1991208076 2019440384 2029149232 2065963328 2082547896 2116528864 2160732288 2172226992 2182670391 2213617344 2253778176 2264613648 2398085456 2450717632 2453331452 2513378026 2563135872 2579519553 2673510144 2676361584 2776730528 2896302656 2904103488 2910227188 2951489792 2986812114 3019484864 3029160576 3043723848 3098944992 3174793296 3293983488 3297367502 3439359404 3507449088 3568482112 3597128184 3676076448 3679997178 3770067039 3872137984 3982416152 4058298464 4131926656 4165095792 4233057728 4321464576 4344453984 4365340782 4427234688 4529227296 4796170912 4901435264 4906662904 4946051253 5026756052 5126271744 5159039106 5352723168 5553461056 5792605312 5808206976 5820454376 5973624228 6038969728 6058321152 6087447696 6197889984 6349586592 6594735004 6878718808 7136964224 7194256368 7352152896 7359994356 7540134078 7964832304 8116596928 8263853312 8330191584 8466115456 8688907968 8730681564 8854469376 9058454592 9458238361 9592341824 9802870528 9813325808 9892102506 10053512104 10318078212 10705446336 11106922112 11585210624 11616413952 11640908752 11947248456 12077939456 12174895392 12395779968 12699173184 13189470008 13757437616 13823579143 14273928448 14388512736 14704305792 14719988712 15080268156 15929664608 16233193856 16336957169 16660383168 16932230912 17377815936 17461363128 18116909184 18916476722 19184683648 19626651616 19784205012 20107024208 20636156424 21410892672 22213844224 23281817504 23894496912 24349790784 24791559936 25398346368 26378940016 27514875232 27647158286 28374715083 28777025472 29408611584 29439977424 30160536312 31859329216 32466387712 32673914338 33320766336 34755631872 34922726256 36233818368 37832953444 38369367296 39253303232 39568410024 40214048416 41272312848 41470737429 42821785344 46563635008 47788993824 48699581568 49010871507 50796692736 52757880032 55029750464 55294316572 56749430166 57554050944 58879954848 60321072624 63718658432 65347828676 66641532672 69845452512 75665906888 78506606464 79136820048 80428096832 82544625696 82941474858 93127270016 95577987648 97399163136 98021743014 105515760064 110059500928 110588633144 113498860332 115108101888 117759909696 120642145248 127437316864 130695657352 139690905024 151331813776 157013212928 158273640096 160856193664 165089251392 165882949716 179706528859 186254540032 191155975296 196043486028 211031520128 220119001856 221177266288 226997720664 235519819392 241284290496 261391314704 279381810048 302663627552 316547280192 321712387328 330178502784 331765899432 359413057718 382311950592 392086972056 422063040256 442354532576 453995441328 471039638784 482568580992 522782629408 539119586577 558763620096 605327255104 633094560384 660357005568 663531798864 718826115436 784173944112 884709065152 907990882656 965137161984 1045565258816 1078239173154 1210654510208 1266189120768 1327063597728 1437652230872 1568347888224 1769418130304 1815981765312 2091130517632 2156478346308 2421309020416 2654127195456 2875304461744 3136695776448 3538836260608 3631963530624 4182261035264 4312956692616 5308254390912 5750608923488 6273391552896 7263927061248 8625913385232 10616508781824 11501217846976 12546783105792 17251826770464 23002435693952 34503653540928 46004871387904 69007307081856 138014614163712
- Sum of all divisors σ(n): 461230355452608
- Sum of proper divisors (its aliquot sum) s(n): 323215741288896
- 138014614163712 is an abundant number, because the sum of its proper divisors (323215741288896) is greater than itself. Its abundance is 185201127125184
Bases of 138014614163712
- Binary: 111110110000110000010000000110100010001000000002
- Hexadecimal: 0x7D86080D1100
- Base-36: 1CX71DUADC
Squares and roots of 138014614163712
- 138014614163712 squared (1380146141637122) is 19048033722758293001137618944
- 138014614163712 cubed (1380146141637123) is 2628907024823860520671115703237489488560128
-
The
square root of 138014614163712 is 11747962.1281187317 -
The
cube root of 138014614163712 is 51678.3166349033
Scales and comparisons
How big is 138014614163712?- 138,014,614,163,712 seconds is equal to 4,388,437 years, 42 weeks, 5 days, 15 hours, 15 minutes, 12 seconds.
-
To count from 1 to 138,014,614,163,712 would take you about ten million, nine hundred seventy-one thousand and ninety-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 138014614163712 cubic inches would be around 4306.5 feet tall.
Recreational maths with 138014614163712
- 138014614163712 backwards is 217361416410831
- 138014614163712 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138014614163712's digits is 48
- More coming soon!
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The information we have on file for 138014614163712 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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