137314661888768
137,314,661,888,768 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137314661888768 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
137314661888768 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137314661888768:
28 × 7 × 13 × 23 × 29 × 41 × 67 × 3217
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 23 × 29 × 41 × 67 × 3217)See below for interesting mathematical facts about the number 137314661888768 from the Numbermatics database.
Names of 137314661888768
- Cardinal: 137314661888768 can be written as One hundred thirty-seven trillion, three hundred fourteen billion, six hundred sixty-one million, eight hundred eighty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37314661888768 × 1014
Factors of 137314661888768
Divisors of 137314661888768
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 7 8 13 14 16 23 26 28 29 32 41 46 52 56 58 64 67 82 91 92 104 112 116 128 134 161 164 182 184 203 208 224 232 256 268 287 299 322 328 364 368 377 406 416 448 464 469 533 536 574 598 644 656 667 728 736 754 812 832 871 896 928 938 943 1066 1072 1148 1189 1196 1288 1312 1334 1456 1472 1508 1541 1624 1664 1742 1792 1856 1876 1886 1943 2093 2132 2144 2296 2378 2392 2576 2624 2639 2668 2747 2912 2944 3016 3082 3217 3248 3328 3484 3712 3731 3752 3772 3886 4186 4264 4288 4592 4669 4756 4784 5152 5248 5278 5336 5494 5824 5888 6032 6097 6164 6434 6496 6601 6968 7424 7462 7504 7544 7772 8323 8372 8528 8576 8671 9184 9338 9512 9568 10304 10496 10556 10672 10787 10988 11648 12064 12194 12259 12328 12868 12992 13202 13601 13936 14924 15008 15088 15457 15544 16646 16744 17056 17152 17342 18368 18676 19024 19136 19229 20033 20608 21112 21344 21574 21976 22519 23296 24128 24388 24518 24656 25259 25736 25984 26404 27202 27347 27872 29848 30016 30176 30914 31088 33292 33488 34112 34684 35711 36736 37352 38048 38272 38458 40066 41216 41821 42224 42688 43148 43952 44689 45038 48256 48776 49036 49312 50518 51472 51968 52808 54404 54694 55744 59696 60032 60352 60697 61828 62176 63181 66584 66976 68224 69368 71422 73472 73991 74704 76096 76544 76916 79663 80132 83642 84448 85376 85813 86296 87904 89378 90076 93293 96512 97552 98072 98624 101036 102944 105616 108199 108808 109388 111488 119392 120064 120704 121394 123656 124352 126362 131897 133168 133952 136448 138736 140231 142844 147982 149408 152192 153832 159326 160264 167284 168896 170752 171626 172592 175808 176813 178756 180152 186586 191429 195104 196144 197248 202072 205888 211232 215539 216398 217616 218776 222976 238784 241408 242788 247312 248704 249977 252724 263794 266336 267904 277472 280462 285688 292747 295964 298816 304384 307664 312823 318652 320528 334568 337792 343252 345184 351616 353626 355511 357512 360304 373172 382858 390208 392288 394496 404144 411776 422464 431078 432796 435232 437552 442267 477568 485576 494624 497408 499954 505448 517937 527588 532672 535808 554944 557641 560924 571376 580957 585494 591928 597632 615328 625646 637304 641056 653051 669136 675584 686504 690368 703232 707252 711022 715024 720608 746344 765716 780416 784576 808288 821353 823552 844928 862156 865592 870464 875104 884534 923279 955136 961883 971152 989248 999908 1010896 1035619 1035874 1055176 1065344 1109888 1115282 1121848 1142752 1161914 1170988 1183856 1195264 1212809 1230656 1251292 1274608 1282112 1306102 1338272 1373008 1380736 1414504 1422044 1430048 1441216 1492688 1508773 1531432 1560832 1569152 1616576 1642706 1689856 1714661 1724312 1731184 1740928 1750208 1769068 1832249 1846558 1923766 1942304 1978496 1999816 2021792 2071238 2071748 2110352 2130688 2145739 2219776 2230564 2243696 2285504 2323828 2341976 2367712 2425618 2461312 2488577 2502584 2549216 2564224 2612204 2676544 2746016 2761472 2802007 2829008 2844088 2860096 2882432 2985376 3017546 3033631 3062864 3138304 3233152 3285412 3429322 3448624 3462368 3481856 3500416 3538136 3664498 3693116 3825013 3847532 3884608 3956992 3999632 4043584 4066699 4142476 4143496 4220704 4291478 4461128 4487392 4571008 4647656 4683952 4735424 4851236 4922624 4957397 4977154 5005168 5098432 5128448 5224408 5353088 5492032 5604014 5658016 5688176 5720192 5749471 5764864 5970752 6035092 6067262 6125728 6250631 6466304 6570824 6733181 6858644 6897248 6924736 7000832 7076272 7249333 7328996 7386232 7650026 7695064 7769216 7999264 8087168 8133398 8284952 8286992 8441408 8489663 8582956 8837099 8922256 8974784 9142016 9295312 9367904 9470848 9702472 9914794 9954308 10010336 10196864 10448816 10706176 10984064 11208028 11316032 11376352 11440384 11498942 11941504 12002627 12070184 12134524 12251456 12501262 12825743 13141648 13466362 13717288 13794496 13849472 14152544 14498666 14657992 14772464 15020173 15300052 15390128 15538432 15998528 16174336 16266796 16569904 16573984 16882816 16979326 17165912 17674198 17844512 17949568 18590624 18735808 18941696 19404944 19614049 19829588 19908616 20020672 20393728 20897632 21235417 21968128 22416056 22632064 22752704 22997884 23819237 23883008 24005254 24140368 24269048 24502912 25002524 25651486 26283296 26775091 26932724 27434576 27588992 27698944 27894607 28305088 28997332 29315984 29544928 30040346 30600104 30780256 31997056 32533592 33139808 33147968 33765632 33958652 34331824 34701779 35348396 35689024 35899136 37181248 37471616 38809888 39228098 39437203 39659176 39817232 40041344 41795264 42470834 43754417 44832112 45264128 45505408 45995768 47638474 48010508 48280736 48538096 49005824 49725169 50005048 51302972 52566592 53550182 53865448 54869152 55177984 55789214 56610176 57994664 58631968 59089856 60080692 61200208 61560512 61859693 63994112 64446161 65067184 66279616 66295936 67917304 68663648 69403558 70696792 71378048 74362496 74943232 77619776 78456196 78874406 79318352 79634464 80082688 81258203 83590528 84941668 87508834 87975299 89664224 91010816 91991536 95276948 96021016 96561472 97076192 99450338 100010096 102605944 105133184 107100364 107730896 109738304 111578428 113220352 114882287 115989328 117263936 118179712 120161384 122400416 123121024 123719386 128892322 130134368 132559232 132591872 135834608 137327296 138807116 141393584 142756096 143764513 148724992 155239552 156912392 157748812 158636704 159268928 162516406 166734659 167181056 169883336 175017668 175950598 179328448 183983072 190553896 192042032 193122944 194152384 195262249 198900676 200020192 203253277 205211888 210266368 214200728 215461792 219476608 223156856 229764574 231978656 234527872 236359424 240322768 244800832 246242048 247438772 256275871 257784644 260268736 265118464 271669216 274654592 276060421 277614232 282787168 287529026 310479104 313824784 315497624 317273408 318537856 325032812 333469318 339766672 348076183 350035336 351901196 358656896 367966144 381107792 384084064 386245888 388304768 390524498 397801352 400040384 406506554 410423776 428401456 430923584 438953216 446313712 451123127 459529148 463957312 469055744 480645536 489601664 494877544 512551742 515569288 520537472 543338432 549309184 552120842 555228464 565574336 568807421 575058052 615827093 627649568 630995248 634546816 637075712 650065624 666938636 679533344 696152366 700070672 703802392 717313792 735932288 762215584 768168128 776609536 781048996 795602704 800080768 804176009 813013108 820847552 856802912 861847168 892627424 902246254 919058296 927914624 961291072 979203328 989755088 1006351591 1025103484 1031138576 1041074944 1086676864 1104241684 1110456928 1131148672 1137614842 1143678887 1150116104 1231654186 1255299136 1261990496 1269093632 1300131248 1333877272 1359066688 1392304732 1400141344 1407604784 1422772939 1471864576 1524431168 1536336256 1562097992 1591205408 1600161536 1608352018 1626026216 1641695104 1713605824 1723694336 1785254848 1793931097 1804492508 1838116592 1855829248 1868938669 1922582144 1979510176 2012703182 2050206968 2062277152 2173353728 2208483368 2220913856 2262297344 2275229684 2287357774 2300232208 2463308372 2510598272 2523980992 2600262496 2642292601 2667754544 2718133376 2784609464 2800282688 2815209568 2845545878 3048862336 3072672512 3124195984 3182410816 3216704036 3252052432 3283390208 3331586323 3427211648 3570509696 3587862194 3608985016 3676233184 3737877338 3845164288 3959020352 4025406364 4100413936 4124554304 4416966736 4441827712 4550459368 4574715548 4600464416 4926616744 5021196544 5047961984 5200524992 5284585202 5335509088 5436266752 5569218928 5600565376 5630419136 5691091756 5894345033 6097724672 6248391968 6364821632 6433408072 6504104864 6663172646 6854423296 7141019392 7175724388 7217970032 7352466368 7475754676 7918040704 8005752209 8050812728 8200827872 8249108608 8833933472 8883655424 9100918736 9149431096 9200928832 9853233488 10095923968 10401049984 10569170404 10671018176 11138437856 11201130752 11260838272 11382183512 11788690066 12496783936 12729643264 12866816144 13008209728 13082570683 13326345292 14351448776 14435940064 14704932736 14951509352 15836081408 16011504418 16101625456 16401655744 16498217216 17667866944 18201837472 18298862192 18401857664 18496048207 19706466976 20802099968 21138340808 21342036352 22276875712 22521676544 22764367024 23321104261 23577380132 24993567872 25733632288 26016419456 26165141366 26652690584 28702897552 28871880128 29409865472 29903018704 32023008836 32203250912 32803311488 35335733888 36403674944 36597724384 36803715328 36992096414 39412933952 41260415231 42276681616 42684072704 44553751424 45528734048 46642208522 47154760264 49987135744 51467264576 52032838912 52330282732 53305381168 57405795104 57743760256 59806037408 64046017672 64406501824 65606622976 70671467776 72807349888 73195448768 73984192828 76626485429 78825867904 82520830462 84553363232 89107502848 91057468096 93284417044 94309520528 102934529152 104660565464 106610762336 114811590208 115487520512 119612074816 128092035344 128813003648 145614699776 146390897536 147968385656 153252970858 157651735808 165041660924 169106726464 182114936192 186568834088 188619041056 205869058304 209321130928 213221524672 229623180416 239224149632 256184070688 257626007296 292781795072 295936771312 306505941716 330083321848 338213452928 364229872384 373137668176 377238082112 418642261856 426443049344 459246360832 478448299264 512368141376 536385398003 591873542624 613011883432 660166643696 676426905856 746275336352 754476164224 837284523712 852886098688 1024736282752 1072770796006 1183747085248 1226023766864 1320333287392 1492550672704 1508952328448 1674569047424 2049472565504 2145541592012 2367494170496 2452047533728 2640666574784 2985101345408 3349138094848 4291083184024 4734988340992 4904095067456 5281333149568 5970202690816 8582166368048 9808190134912 10562666299136 17164332736096 19616380269824 34328665472192 68657330944384 137314661888768
- Sum of all divisors σ(n): 378717751480320
- Sum of proper divisors (its aliquot sum) s(n): 241403089591552
- 137314661888768 is an abundant number, because the sum of its proper divisors (241403089591552) is greater than itself. Its abundance is 104088427702784
Bases of 137314661888768
- Binary: 111110011100011000011111010010011110011000000002
- Hexadecimal: 0x7CE30FA4F300
- Base-36: 1CO9HGBUGW
Squares and roots of 137314661888768
- 137314661888768 squared (1373146618887682) is 18855316369626675045204557824
- 137314661888768 cubed (1373146618887683) is 2589111392101039399589784259833822112120832
-
The
square root of 137314661888768 is 11718133.8910582517 -
The
cube root of 137314661888768 is 51590.8049397747
Scales and comparisons
How big is 137314661888768?- 137,314,661,888,768 seconds is equal to 4,366,181 years, 26 weeks, 2 days, 3 hours, 46 minutes, 8 seconds.
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To count from 1 to 137,314,661,888,768 would take you about ten million, nine hundred fifteen thousand, four hundred fifty-three 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 137314661888768 cubic inches would be around 4299.2 feet tall.
Recreational maths with 137314661888768
- 137314661888768 backwards is 867888166413731
- The number of decimal digits it has is: 15
- The sum of 137314661888768's digits is 77
- More coming soon!
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The information we have on file for 137314661888768 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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