137105683513344
137,105,683,513,344 is an even composite number composed of five prime numbers multiplied together.
What does the number 137105683513344 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
137105683513344 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 137105683513344:
220 × 39 × 7 × 13 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 73)See below for interesting mathematical facts about the number 137105683513344 from the Numbermatics database.
Names of 137105683513344
- Cardinal: 137105683513344 can be written as One hundred thirty-seven trillion, one hundred five billion, six hundred eighty-three million, five hundred thirteen thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.37105683513344 × 1014
Factors of 137105683513344
Divisors of 137105683513344
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 73 78 81 84 91 96 104 108 112 117 126 128 144 146 156 162 168 182 189 192 208 216 219 224 234 243 252 256 273 288 292 312 324 336 351 364 378 384 416 432 438 448 468 486 504 511 512 546 567 576 584 624 648 657 672 702 728 729 756 768 819 832 864 876 896 936 949 972 1008 1022 1024 1053 1092 1134 1152 1168 1248 1296 1314 1344 1404 1456 1458 1512 1533 1536 1638 1664 1701 1728 1752 1792 1872 1898 1944 1971 2016 2044 2048 2106 2184 2187 2268 2304 2336 2457 2496 2592 2628 2688 2808 2847 2912 2916 3024 3066 3072 3159 3276 3328 3402 3456 3504 3584 3744 3796 3888 3942 4032 4088 4096 4212 4368 4374 4536 4599 4608 4672 4914 4992 5103 5184 5256 5376 5616 5694 5824 5832 5913 6048 6132 6144 6318 6552 6561 6643 6656 6804 6912 7008 7168 7371 7488 7592 7776 7884 8064 8176 8192 8424 8541 8736 8748 9072 9198 9216 9344 9477 9828 9984 10206 10368 10512 10752 11232 11388 11648 11664 11826 12096 12264 12288 12636 13104 13122 13286 13312 13608 13797 13824 14016 14336 14742 14976 15184 15309 15552 15768 16128 16352 16384 16848 17082 17472 17496 17739 18144 18396 18432 18688 18954 19656 19683 19929 19968 20412 20736 21024 21504 22113 22464 22776 23296 23328 23652 24192 24528 24576 25272 25623 26208 26244 26572 26624 27216 27594 27648 28032 28431 28672 29484 29952 30368 30618 31104 31536 32256 32704 32768 33696 34164 34944 34992 35478 36288 36792 36864 37376 37908 39312 39366 39858 39936 40824 41391 41472 42048 43008 44226 44928 45552 45927 46592 46656 47304 48384 49056 49152 50544 51246 52416 52488 53144 53217 53248 54432 55188 55296 56064 56862 57344 58968 59787 59904 60736 61236 62208 63072 64512 65408 65536 66339 67392 68328 69888 69984 70956 72576 73584 73728 74752 75816 76869 78624 78732 79716 79872 81648 82782 82944 84096 85293 86016 88452 89856 91104 91854 93184 93312 94608 96768 98112 98304 101088 102492 104832 104976 106288 106434 106496 108864 110376 110592 112128 113724 114688 117936 119574 119808 121472 122472 124173 124416 126144 129024 130816 131072 132678 134784 136656 137781 139776 139968 141912 145152 147168 147456 149504 151632 153738 157248 157464 159432 159651 159744 163296 165564 165888 168192 170586 172032 176904 179361 179712 182208 183708 186368 186624 189216 193536 196224 196608 199017 202176 204984 209664 209952 212576 212868 212992 217728 220752 221184 224256 227448 229376 230607 235872 239148 239616 242944 244944 248346 248832 252288 255879 258048 261632 262144 265356 269568 273312 275562 279552 279936 283824 290304 294336 294912 299008 303264 307476 314496 314928 318864 319302 319488 326592 331128 331776 336384 341172 344064 353808 358722 359424 364416 367416 372519 372736 373248 378432 387072 392448 393216 398034 404352 409968 419328 419904 425152 425736 425984 435456 441504 442368 448512 454896 458752 461214 471744 478296 478953 479232 485888 489888 496692 497664 504576 511758 516096 523264 524288 530712 538083 539136 546624 551124 559104 559872 567648 580608 588672 589824 597051 598016 606528 614952 628992 629856 637728 638604 638976 653184 662256 663552 672768 682344 688128 691821 707616 717444 718848 728832 734832 745038 745472 746496 756864 774144 784896 786432 796068 808704 819936 838656 839808 850304 851472 851968 870912 883008 884736 897024 909792 917504 922428 943488 956592 957906 958464 971776 979776 993384 995328 1009152 1023516 1032192 1046528 1048576 1061424 1076166 1078272 1093248 1102248 1117557 1118208 1119744 1135296 1161216 1177344 1179648 1194102 1196032 1213056 1229904 1257984 1259712 1275456 1277208 1277952 1306368 1324512 1327104 1345536 1364688 1376256 1383642 1415232 1434888 1436859 1437696 1457664 1469664 1490076 1490944 1492992 1513728 1548288 1569792 1572864 1592136 1614249 1617408 1639872 1677312 1679616 1700608 1702944 1703936 1741824 1766016 1769472 1791153 1794048 1819584 1835008 1844856 1886976 1913184 1915812 1916928 1943552 1959552 1986768 1990656 2018304 2047032 2064384 2075463 2093056 2122848 2152332 2156544 2186496 2204496 2235114 2236416 2239488 2270592 2322432 2354688 2359296 2388204 2392064 2426112 2459808 2515968 2519424 2550912 2554416 2555904 2612736 2649024 2654208 2691072 2729376 2752512 2767284 2830464 2869776 2873718 2875392 2915328 2939328 2980152 2981888 2985984 3027456 3096576 3139584 3145728 3184272 3228498 3234816 3279744 3352671 3354624 3359232 3401216 3405888 3407872 3483648 3532032 3538944 3582306 3588096 3639168 3670016 3689712 3773952 3826368 3831624 3833856 3887104 3919104 3973536 3981312 4036608 4094064 4128768 4150926 4186112 4245696 4304664 4313088 4372992 4408992 4470228 4472832 4478976 4541184 4644864 4709376 4718592 4776408 4784128 4842747 4852224 4919616 5031936 5038848 5101824 5108832 5111808 5225472 5298048 5308416 5382144 5458752 5505024 5534568 5660928 5739552 5747436 5750784 5830656 5878656 5960304 5963776 5971968 6054912 6193152 6226389 6279168 6368544 6456996 6469632 6559488 6705342 6709248 6718464 6802432 6811776 6815744 6967296 7064064 7077888 7164612 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61341696 62193664 62705664 63576576 63700992 64585728 65505024 66060288 66414816 66977792 67931136 68874624 69009408 69967872 70543872 71523648 71565312 71663616 72658944 74317824 74716668 75350016 76422528 76546048 77483952 77635584 78713856 80464104 80510976 80621568 81629184 81741312 83607552 84768768 84934656 86114304 87169446 87340032 88553088 90574848 91832832 91958976 92012544 93290496 94058496 95364864 95420416 95551488 96878592 99090432 99622224 100466688 101896704 103311936 103514112 104951808 107285472 107347968 107495424 108838912 108988416 111476736 113025024 114633792 114819072 116225928 116453376 118070784 120766464 122443776 122611968 122683392 124387328 125411328 127153152 127401984 129171456 130754169 131010048 132829632 133955584 135862272 137749248 138018816 139935744 141087744 143047296 143130624 143327232 145317888 148635648 149433336 150700032 152845056 154967904 155271168 157427712 160928208 161021952 161243136 163258368 163482624 167215104 169537536 172228608 174338892 174680064 177106176 181149696 183665664 183917952 184025088 186580992 188116992 190729728 191102976 193757184 198180864 199244448 200933376 203793408 206623872 207028224 209903616 214570944 214695936 214990848 217677824 217976832 222953472 226050048 229267584 229638144 232451856 232906752 236141568 241532928 244887552 245223936 248774656 250822656 254306304 254803968 258342912 261508338 262020096 265659264 267911168 271724544 275498496 276037632 279871488 282175488 286094592 286261248 286654464 290635776 297271296 298866672 301400064 305690112 309935808 310542336 314855424 321856416 322043904 322486272 326516736 326965248 334430208 339075072 344457216 348677784 349360128 354212352 362299392 367331328 367835904 368050176 373161984 376233984 381459456 382205952 387514368 398488896 401866752 407586816 413247744 414056448 419807232 429141888 429391872 429981696 435355648 435953664 445906944 452100096 458535168 464903712 465813504 472283136 483065856 489775104 490447872 497549312 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1504935936 1525837824 1550057472 1593955584 1607467008 1630347264 1652990976 1656225792 1679228928 1716567552 1719926784 1741422592 1743814656 1783627776 1808400384 1834140672 1859614848 1863254016 1889132544 1932263424 1959100416 1961791488 2006581248 2034450432 2066743296 2092066704 2096160768 2125274112 2173796352 2203987968 2238971904 2257403904 2288756736 2293235712 2325086208 2390933376 2411200512 2445520896 2479486464 2484338688 2518843392 2574851328 2576351232 2579890176 2612133888 2615721984 2675441664 2712600576 2789422272 2794881024 2833698816 2898395136 2938650624 2942687232 2985295872 3009871872 3051675648 3100114944 3187911168 3260694528 3305981952 3312451584 3358457856 3433135104 3439853568 3482845184 3487629312 3616800768 3668281344 3719229696 3726508032 3778265088 3864526848 3918200832 3923582976 4013162496 4068900864 4184133408 4192321536 4250548224 4347592704 4407975936 4477943808 4514807808 4577513472 4650172416 4781866752 4822401024 4891041792 4958972928 4968677376 5037686784 5149702656 5159780352 5224267776 5231443968 5350883328 5425201152 5578844544 5589762048 5667397632 5796790272 5877301248 5885374464 6019743744 6103351296 6200229888 6375822336 6521389056 6611963904 6716915712 6866270208 6879707136 6965690368 6975258624 7233601536 7336562688 7438459392 7453016064 7556530176 7729053696 7836401664 7847165952 8026324992 8137801728 8368266816 8384643072 8501096448 8695185408 8815951872 8955887616 9029615616 9155026944 9300344832 9563733504 9782083584 9917945856 9937354752 10075373568 10299405312 10319560704 10448535552 10462887936 10850402304 11157689088 11179524096 11334795264 11593580544 11754602496 11770748928 12039487488 12206702592 12751644672 13042778112 13223927808 13433831424 13732540416 13950517248 14467203072 14673125376 14876918784 14906032128 15113060352 15672803328 15694331904 16052649984 16275603456 16736533632 16769286144 17002192896 17390370816 17631903744 18059231232 18310053888 18600689664 19127467008 19564167168 19835891712 20150747136 20598810624 20639121408 20897071104 20925775872 21700804608 22315378176 22359048192 22669590528 23187161088 23509204992 23541497856 24078974976 24413405184 25503289344 26085556224 26447855616 26867662848 27465080832 27901034496 29346250752 29753837568 29812064256 30226120704 31345606656 31388663808 32551206912 33473067264 33538572288 34004385792 34780741632 35263807488 36118462464 36620107776 38254934016 39128334336 39671783424 40301494272 41197621248 41851551744 43401609216 44630756352 44718096384 45339181056 47018409984 47082995712 48157949952 48826810368 51006578688 52171112448 52895711232 54930161664 55802068992 58692501504 59507675136 60452241408 62691213312 62777327616 65102413824 66946134528 67077144576 68008771584 69561483264 70527614976 72236924928 73240215552 76509868032 78256668672 79343566848 80602988544 82395242496 83703103488 89261512704 89436192768 90678362112 94036819968 94165991424 97653620736 102013157376 104342224896 105791422464 109860323328 117385003008 119015350272 120904482816 125554655232 130204827648 133892269056 134154289152 136017543168 141055229952 144473849856 146480431104 153019736064 156513337344 158687133696 164790484992 167406206976 178523025408 181356724224 188073639936 188331982848 195307241472 204026314752 208684449792 211582844928 219720646656 234770006016 238030700544 241808965632 251109310464 267784538112 268308578304 272035086336 282110459904 292960862208 306039472128 313026674688 317374267392 329580969984 357046050816 362713448448 376663965696 390614482944 408052629504 423165689856 439441293312 469540012032 476061401088 502218620928 535569076224 544070172672 564220919808 585921724416 612078944256 626053349376 634748534784 659161939968 714092101632 725426896896 753327931392 816105259008 846331379712 878882586624 939080024064 952122802176 1071138152448 1088140345344 1171843448832 1224157888512 1269497069568 1318323879936 1428184203264 1506655862784 1632210518016 1692662759424 1757765173248 1878160048128 1904245604352 2142276304896 2176280690688 2448315777024 2538994139136 2636647759872 2856368406528 3264421036032 3515530346496 3808491208704 4284552609792 4896631554048 5077988278272 5273295519744 5712736813056 6528842072064 7616982417408 8569105219584 9793263108096 10546591039488 11425473626112 15233964834816 17138210439168 19586526216192 22850947252224 34276420878336 45701894504448 68552841756672 137105683513344
- Sum of all divisors σ(n): 513162179395712
- Sum of proper divisors (its aliquot sum) s(n): 376056495882368
- 137105683513344 is an abundant number, because the sum of its proper divisors (376056495882368) is greater than itself. Its abundance is 238950812369024
Bases of 137105683513344
- Binary: 111110010110010011001111001000000000000000000002
- Hexadecimal: 0x7CB267900000
- Base-36: 1CLLHC0000
Squares and roots of 137105683513344
- 137105683513344 squared (1371056835133442) is 18797968451661248731426062336
- 137105683513344 cubed (1371056835133443) is 2577308313227292308804645909363036031811584
-
The
square root of 137105683513344 is 11709213.6163511851 -
The
cube root of 137105683513344 is 51564.6197374861
Scales and comparisons
How big is 137105683513344?- 137,105,683,513,344 seconds is equal to 4,359,536 years, 33 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 137,105,683,513,344 would take you about ten million, eight hundred ninety-eight thousand, eight hundred forty-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 137105683513344 cubic inches would be around 4297.1 feet tall.
Recreational maths with 137105683513344
- 137105683513344 backwards is 443315386501731
- 137105683513344 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137105683513344's digits is 54
- More coming soon!
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"Number 137105683513344 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 137105683513344 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/137105683513344/
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The information we have on file for 137105683513344 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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