137314977102912
137,314,977,102,912 is an even composite number composed of six prime numbers multiplied together.
What does the number 137314977102912 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
137314977102912 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 137314977102912:
26 × 3 × 72 × 192 × 37 × 1033
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 19 × 19 × 37 × 103 × 103 × 103)See below for interesting mathematical facts about the number 137314977102912 from the Numbermatics database.
Names of 137314977102912
- Cardinal: 137314977102912 can be written as One hundred thirty-seven trillion, three hundred fourteen billion, nine hundred seventy-seven million, one hundred two thousand, nine hundred twelve.
Scientific notation
- Scientific notation: 1.37314977102912 × 1014
Factors of 137314977102912
Divisors of 137314977102912
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 37 38 42 48 49 56 57 64 74 76 84 96 98 103 111 112 114 133 147 148 152 168 192 196 206 222 224 228 259 266 294 296 304 309 336 361 392 399 412 444 448 456 518 532 588 592 608 618 672 703 721 722 777 784 798 824 888 912 931 1036 1064 1083 1176 1184 1216 1236 1344 1406 1442 1444 1554 1568 1596 1648 1776 1813 1824 1862 1957 2072 2109 2128 2163 2166 2352 2368 2472 2527 2793 2812 2884 2888 3108 3136 3192 3296 3552 3626 3648 3724 3811 3914 4144 4218 4256 4326 4332 4704 4921 4944 5047 5054 5439 5586 5624 5768 5776 5871 6216 6384 6592 7104 7252 7448 7581 7622 7828 8288 8436 8512 8652 8664 9408 9842 9888 10094 10108 10609 10878 11172 11248 11433 11536 11552 11742 12432 12768 13357 13699 14504 14763 14896 15141 15162 15244 15656 16576 16872 17304 17328 17689 19684 19776 20188 20216 21218 21756 22344 22496 22866 23072 23104 23484 24864 25536 26677 26714 27398 29008 29526 29792 30282 30324 30488 31312 31827 33744 34447 34608 34656 35378 37183 39368 40071 40376 40432 41097 42436 43512 44688 44992 45732 46144 46968 49728 53067 53354 53428 54796 58016 59052 59584 60564 60648 60976 62624 63654 67488 68894 69216 69312 70756 72409 74263 74366 78736 80031 80142 80752 80864 82194 84872 87024 89376 91464 93499 93936 95893 103341 106134 106708 106856 109592 111549 116032 118104 121128 121296 121952 125248 127308 134976 137788 138432 141512 144818 148526 148732 157472 160062 160284 161504 161728 164388 169744 174048 178752 182928 186739 186998 187872 191786 201571 206682 212268 213416 213712 217227 219184 222789 223098 236208 242256 242592 243904 254616 260281 275576 280497 283024 287679 289636 297052 297464 314944 320124 320568 323008 328776 339488 348096 365856 373478 373996 375744 383572 392533 403142 413364 424536 426832 427424 434454 438368 445578 446196 472416 484512 485184 506863 509232 519841 520562 551152 560217 560994 566048 575358 579272 594104 594928 604713 640248 641136 654493 657552 678976 731712 746956 747992 767144 780843 785066 806284 826728 849072 853664 854848 868908 876736 891156 892392 944832 969024 1013726 1018464 1039682 1041124 1092727 1102304 1120434 1121988 1132096 1150716 1158544 1177599 1188208 1189856 1209426 1280496 1282272 1308986 1315104 1375771 1410997 1493912 1495984 1520589 1534288 1559523 1561686 1570132 1612568 1653456 1698144 1707328 1737816 1782312 1784784 1821967 1963479 2027452 2036928 2079364 2082248 2185454 2204608 2240868 2243976 2301432 2317088 2355198 2376416 2379712 2418852 2560992 2564544 2617972 2630208 2747731 2751542 2821994 2987824 2991968 3041178 3068576 3119046 3123372 3140264 3225136 3278181 3306912 3396288 3475632 3548041 3564624 3569568 3643934 3829849 3926958 4054904 4127313 4158728 4164496 4232991 4370908 4481736 4487952 4602864 4634176 4710396 4752832 4837704 5121984 5235944 5465901 5495462 5503084 5643988 5975648 5983936 6082356 6137152 6238092 6246744 6280528 6450272 6556362 6613824 6951264 7096082 7129248 7139136 7287868 7458127 7649089 7659698 7853916 8109808 8243193 8254626 8317456 8328992 8465982 8741816 8963472 8975904 9205728 9420792 9630397 9675408 9876979 10471888 10644123 10931802 10990924 11006168 11287976 11489547 11951296 12164712 12476184 12493488 12561056 12900544 13112724 13902528 14192164 14258496 14575736 14916254 15298178 15319396 15707832 16219616 16486386 16509252 16634912 16657984 16931964 17483632 17926944 17951808 18411456 18841584 19234117 19260794 19350816 19753958 20761813 20943776 21288246 21863604 21981848 22012336 22374381 22575952 22947267 22979094 24329424 24952368 24986976 25122112 26225448 26808943 28384328 28891191 29151472 29630937 29832508 30596356 30638792 31415664 32439232 32972772 33018504 33269824 33863928 34967264 35853888 37683168 38468234 38521588 38701632 39507916 40430899 41523626 41887552 42576492 43727208 43963696 44024672 44748762 45151904 45894534 45958188 48658848 49904736 49973952 52206889 52450896 53543623 53617886 56768656 57702351 57782382 58302944 59261874 59665016 61192712 61277584 62285439 62831328 65945544 66037008 67412779 67727856 69934528 75366336 76936468 77043176 79015832 80426829 80861798 83047252 85152984 87454416 87927392 88049344 89497524 90303808 91789068 91916376 97317696 99809472 104413778 104901792 107087246 107235772 113537312 115404702 115564764 116605888 118523748 119330032 121292697 122385424 122555168 124570878 125662656 131891088 132074016 134825558 135455712 141704413 145332691 153872936 154086352 156620667 158031664 160630869 160853658 161723596 166094504 170305968 174908832 175854784 178995048 183578136 183832752 187662601 202238337 208827556 209803584 214174492 214471544 227074624 230809404 231129528 237047496 238660064 242585394 244770848 245110336 249141756 263782176 264148032 269651116 270911424 283016293 283408826 290665382 307745872 308172704 313241334 316063328 321261738 321707316 323447192 332189008 340611936 349817664 357990096 365448223 367156272 367665504 375325202 394474447 404476674 417655112 425113239 428348984 428943088 435998073 461618808 462259056 474094992 477320128 485170788 489541696 498283512 527564352 539302232 562987803 566032586 566817652 581330764 615491744 616345408 626482668 632126656 642523476 643414632 646894384 664378016 681223872 715980192 730896446 734312544 735331008 750650404 768187081 788948894 808953348 835310224 849048879 850226478 856697968 857886176 871996146 923237616 924518112 948189984 970341576 991930891 996567024 1017328837 1078604464 1096344669 1125975606 1132065172 1133635304 1162661528 1183423341 1230983488 1252965336 1285046952 1286829264 1293788768 1328756032 1431960384 1461792892 1468625088 1501300808 1536374162 1577897788 1617906696 1670620448 1698097758 1700452956 1713395936 1715772352 1743992292 1846475232 1849036224 1896379968 1940683152 1981114051 1983861782 1993134048 2034657674 2157208928 2192689338 2251951212 2264130344 2267270608 2304561243 2325323056 2366846682 2505930672 2570093904 2573658528 2587577536 2761321129 2923585784 2975792673 3002601616 3051986511 3072748324 3155795576 3235813392 3341240896 3396195516 3400905912 3426791872 3487984584 3692950464 3881366304 3962228102 3967723564 3986268096 4069315348 4314417856 4385378676 4503902424 4528260688 4534541216 4609122486 4650646112 4733693364 5011861344 5140187808 5147317056 5377309567 5522642258 5847171568 5943342153 5951585346 6005203232 6103973022 6145496648 6311591152 6471626784 6792391032 6801811824 6943516237 6975969168 7762732608 7924456204 7935447128 8138630696 8283963387 8770757352 9007804848 9056521376 9069082432 9218244972 9301292224 9467386728 10023722688 10280375616 10754619134 11045284516 11694343136 11886684306 11903170692 12010406464 12207946044 12290993296 12623182304 12943253568 13584782064 13603623648 13887032474 13951938336 14595554539 15848912408 15870894256 16131928701 16277261392 16567926774 17541514704 18015609696 18113042752 18436489944 18934773456 19329247903 20830548711 21509238268 22090569032 23388686272 23773368612 23806341384 24415892088 24581986592 25246364608 27169564128 27207247296 27774064948 27903876672 29191109078 31697824816 31741788512 32263857402 32554522784 33135853548 35083029408 36031219392 36872979888 37641166969 37869546912 38658495806 41661097422 43018476536 43786663617 44181138064 47546737224 47612682768 48831784176 49163973184 54339128256 55548129896 57987743709 58382218156 63395649632 63483577024 64527714804 65109045568 66271707096 70166058816 73745959776 75282333938 75739093824 77316991612 83322194844 86036953072 87573327234 88362276128 95093474448 95225365536 97663568352 102168881773 111096259792 112923500907 115975487418 116764436312 126791299264 129055429608 132543414192 147491919552 150564667876 154633983224 166644389688 172073906144 175146654468 176724552256 190186948896 190450731072 195327136704 204337763546 222192519584 225847001814 231950974836 233528872624 258110859216 265086828384 301129335752 306506645319 309267966448 333288779376 344147812288 350293308936 380373897792 408675527092 444385039168 451694003628 463901949672 467057745248 516221718432 530173656768 602258671504 613013290638 618535932896 666577558752 700586617872 715182172411 817351054184 903388007256 927803899344 934115490496 1032443436864 1204517343008 1226026581276 1237071865792 1333155117504 1401173235744 1430364344822 1634702108368 1806776014512 1855607798688 2145546517233 2409034686016 2452053162552 2802346471488 2860728689644 3269404216736 3613552029024 3711215597376 4291093034466 4904106325104 5721457379288 6538808433472 7227104058048 8582186068932 9808212650208 11442914758576 17164372137864 19616425300416 22885829517152 34328744275728 45771659034304 68657488551456 137314977102912
- Sum of all divisors σ(n): 462589598689920
- Sum of proper divisors (its aliquot sum) s(n): 325274621587008
- 137314977102912 is an abundant number, because the sum of its proper divisors (325274621587008) is greater than itself. Its abundance is 187959644484096
Bases of 137314977102912
- Binary: 111110011100011001000100110111010111100010000002
- Hexadecimal: 0x7CE3226EBC40
- Base-36: 1CO9MNZZ9C
Squares and roots of 137314977102912
- 137314977102912 squared (1373149771029122) is 18855402936773246836638879744
- 137314977102912 cubed (1373149771029123) is 2589129222529198070617598907805306280214528
-
The
square root of 137314977102912 is 11718147.3408944641 -
The
cube root of 137314977102912 is 51590.8444163529
Scales and comparisons
How big is 137314977102912?- 137,314,977,102,912 seconds is equal to 4,366,191 years, 27 weeks, 3 days, 11 hours, 15 minutes, 12 seconds.
-
To count from 1 to 137,314,977,102,912 would take you about ten million, nine hundred fifteen thousand, four hundred seventy-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 137314977102912 cubic inches would be around 4299.2 feet tall.
Recreational maths with 137314977102912
- 137314977102912 backwards is 219201779413731
- 137314977102912 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137314977102912's digits is 57
- More coming soon!
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The information we have on file for 137314977102912 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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