136993142031928319671680
136,993,142,031,928,319,671,680 is an even composite number composed of seven prime numbers multiplied together.
136993142031928319671680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 136993142031928319671680:
27 × 3 × 5 × 23 × 139 × 1808951 × 12337528207
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 23 × 139 × 1808951 × 12337528207)See below for interesting mathematical facts about the number 136993142031928319671680 from the Numbermatics database.
Names of 136993142031928319671680
- Cardinal: 136993142031928319671680 can be written as One hundred thirty-six sextillion, nine hundred ninety-three quintillion, one hundred forty-two quadrillion, thirty-one trillion, nine hundred twenty-eight billion, three hundred nineteen million, six hundred seventy-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3699314203192831967168 × 1023
Factors of 136993142031928319671680
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 12339337330
Divisors of 136993142031928319671680
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 139 160 184 192 230 240 276 278 320 345 368 384 417 460 480 552 556 640 690 695 736 834 920 960 1104 1112 1380 1390 1472 1668 1840 1920 2085 2208 2224 2760 2780 2944 3197 3336 3680 4170 4416 4448 5520 5560 6394 6672 7360 8340 8832 8896 9591 11040 11120 12788 13344 14720 15985 16680 17792 19182 22080 22240 25576 26688 31970 33360 38364 44160 44480 47955 51152 53376 63940 66720 76728 88960 95910 102304 127880 133440 153456 191820 204608 255760 266880 306912 383640 409216 511520 613824 767280 1023040 1227648 1534560 1808951 2046080 3069120 3617902 5426853 6138240 7235804 9044755 10853706 14471608 18089510 21707412 27134265 28943216 36179020 41605873 43414824 54268530 57886432 72358040 83211746 86829648 108537060 115772864 124817619 144716080 166423492 173659296 208029365 217074120 231545728 249635238 251444189 289432160 332846984 347318592 416058730 434148240 499270476 502888378 578864320 624088095 665693968 694637184 754332567 832117460 868296480 998540952 1005776756 1157728640 1248176190 1257220945 1331387936 1508665134 1664234920 1736592960 1997081904 2011553512 2496352380 2514441890 2662775872 3017330268 3328469840 3473185920 3771662835 3994163808 4023107024 4992704760 5028883780 5325551744 5783216347 6034660536 6656939680 7543325670 7988327616 8046214048 9985409520 10057767560 11566432694 12069321072 12337528207 13313879360 15086651340 15976655232 16092428096 17349649041 19970819040 20115535120 23132865388 24138642144 24675056414 26627758720 28916081735 30173302680 32184856192 34699298082 37012584621 39941638080 40231070240 46265730776 48277284288 49350112828 57832163470 60346605360 61687641035 69398596164 74025169242 79883276160 80462140480 86748245205 92531461552 96554568576 98700225656 115664326940 120693210720 123375282070 138797192328 148050338484 160924280960 173496490410 185062923104 185062923105 197400451312 231328653880 241386421440 246750564140 277594384656 283763148761 296100676968 346992980820 370125846208 370125846210 394800902624 462657307760 482772842880 493501128280 555188769312 567526297522 592201353936 693985961640 740251692416 740251692420 789601805248 851289446283 925314615520 987002256560 1110377538624 1135052595044 1184402707872 1387971923280 1418815743805 1480503384840 1579203610496 1702578892566 1714916420773 1850629231040 1974004513120 2220755077248 2270105190088 2368805415744 2775943846560 2837631487610 2961006769680 3405157785132 3429832841546 3701258462080 3948009026240 4256447231415 4540210380176 4737610831488 5144749262319 5551887693120 5675262975220 5922013539360 6810315570264 6859665683092 7896018052480 8512894462830 8574582103865 9080420760352 10289498524638 11103775386240 11350525950440 11844027078720 13620631140528 13719331366184 17025788925660 17149164207730 18160841520704 20578997049276 22701051900880 23688054157440 25723746311595 27241262281056 27438662732368 34051577851320 34298328415460 36321683041408 39443077677779 41157994098552 45402103801760 51447492623190 54482524562112 54877325464736 68103155702640 68596656830920 78886155355558 82315988197104 90804207603520 102894985246380 108965049124224 109754650929472 118329233033337 136206311405280 137193313661840 157772310711116 164631976394208 181608415207040 197215388388895 205789970492760 219509301858944 236658466066674 272412622810560 274386627323680 315544621422232 329263952788416 394430776777790 411579940985520 473316932133348 544825245621120 548773254647360 591646165166685 631089242844464 658527905576832 788861553555580 823159881971040 946633864266696 1097546509294720 1183292330333370 1262178485688928 1577723107111160 1646319763942080 1893267728533392 2366584660666740 2524356971377856 3155446214222320 3292639527884160 3786535457066784 4733169321333480 5048713942755712 6310892428444640 7573070914133568 9466338642666960 12621784856889280 15146141828267136 18932677285333920 22317983987580857 25243569713778560 37865354570667840 44635967975161714 66953951962742571 75730709141335680 89271935950323428 111589919937904285 133907903925485142 178543871900646856 223179839875808570 267815807850970284 334769759813712855 357087743801293712 446359679751617140 513313631714359711 535631615701940568 669539519627425710 714175487602587424 892719359503234280 1026627263428719422 1071263231403881136 1339079039254851420 1428350975205174848 1539940895143079133 1785438719006468560 2053254526857438844 2142526462807762272 2566568158571798555 2678158078509702840 2856701950410349696 3079881790286158266 3102199774273739123 3570877438012937120 4106509053714877688 4285052925615524544 5133136317143597110 5356316157019405680 6159763580572316532 6204399548547478246 7141754876025874240 7699704475715395665 8213018107429755376 8570105851231049088 9306599322821217369 10266272634287194220 10712632314038811360 12319527161144633064 12408799097094956492 14283509752051748480 15399408951430791330 15510998871368695615 16426036214859510752 18613198645642434738 20532545268574388440 21425264628077622720 24639054322289266128 24817598194189912984 30798817902861582660 31021997742737391230 32852072429719021504 37226397291284869476 41065090537148776880 42850529256155245440 46532996614106086845 49278108644578532256 49635196388379825968 61597635805723165320 62043995485474782460 65704144859438043008 71350594808295999829 74452794582569738952 82130181074297553760 93065993228212173690 98556217289157064512 99270392776759651936 123195271611446330640 124087990970949564920 142701189616591999658 148905589165139477904 164260362148595107520 186131986456424347380 197112434578314129024 198540785553519303872 214051784424887999487 246390543222892661280 248175981941899129840 285402379233183999316 297811178330278955808 328520724297190215040 356752974041479999145 372263972912848694760 397081571107038607744 428103568849775998974 492781086445785322560 496351963883798259680 570804758466367998632 595622356660557911616 713505948082959998290 744527945825697389520 856207137699551997948 985562172891570645120 992703927767596519360 1070258922124439997435 1141609516932735997264 1191244713321115823232 1427011896165919996580 1489055891651394779040 1712414275399103995896 1985407855535193038720 2140517844248879994870 2283219033865471994528 2854023792331839993160 2978111783302789558080 3424828550798207991792 4281035688497759989740 4566438067730943989056 5708047584663679986320 5956223566605579116160 6849657101596415983584 8562071376995519979480 9132876135461887978112 11416095169327359972640 13699314203192831967168 17124142753991039958960 22832190338654719945280 27398628406385663934336 34248285507982079917920 45664380677309439890560 68496571015964159835840 136993142031928319671680
- Sum of all divisors σ(n): 458929422069680546611200
- Sum of proper divisors (its aliquot sum) s(n): 321936280037752226939520
- 136993142031928319671680 is an abundant number, because the sum of its proper divisors (321936280037752226939520) is greater than itself. Its abundance is 184943138005823907267840
Bases of 136993142031928319671680
- Binary: 111010000001001101001110000011001100101000011110110100010010111111101100000002
- Hexadecimal: 0x1D0269C19943DA25FD80
- Base-36: MB3DO38W1FXJ1XC
Squares and roots of 136993142031928319671680
- 136993142031928319671680 squared (1369931420319283196716802) is 18767120963780085662227120834176988062994022400
- 136993142031928319671680 cubed (1369931420319283196716803) is 2570966867721504769346301830510288280895906555028845384432170565632000
-
The
square root of 136993142031928319671680 is 370125846208.9999999989 -
The
cube root of 136993142031928319671680 is 51550507.1515200523
Scales and comparisons
How big is 136993142031928319671680?- 136,993,142,031,928,319,671,680 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 136,993,142,031,928,319,671,680 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 136993142031928319671680 cubic inches would be around 4295875.6 feet tall.
Recreational maths with 136993142031928319671680
- 136993142031928319671680 backwards is 086176913829130241399631
- The number of decimal digits it has is: 24
- The sum of 136993142031928319671680's digits is 102
- More coming soon!
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The information we have on file for 136993142031928319671680 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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