136988436977346240
136,988,436,977,346,240 is an even composite number composed of nine prime numbers multiplied together.
What does the number 136988436977346240 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2688 divisors.
136988436977346240 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 136988436977346240:
26 × 32 × 5 × 11 × 13 × 61 × 457 × 2521 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 61 × 457 × 2521 × 4733)See below for interesting mathematical facts about the number 136988436977346240 from the Numbermatics database.
Names of 136988436977346240
- Cardinal: 136988436977346240 can be written as One hundred thirty-six quadrillion, nine hundred eighty-eight trillion, four hundred thirty-six billion, nine hundred seventy-seven million, three hundred forty-six thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3698843697734624 × 1017
Factors of 136988436977346240
Divisors of 136988436977346240
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 32 33 36 39 40 44 45 48 52 55 60 61 64 65 66 72 78 80 88 90 96 99 104 110 117 120 122 130 132 143 144 156 160 165 176 180 183 192 195 198 208 220 234 240 244 260 264 286 288 305 312 320 330 352 360 366 390 396 416 429 440 457 468 480 488 495 520 528 549 572 576 585 610 624 660 671 704 715 720 732 780 792 793 832 858 880 914 915 936 960 976 990 1040 1056 1098 1144 1170 1220 1248 1287 1320 1342 1371 1430 1440 1464 1560 1584 1586 1716 1760 1828 1830 1872 1952 1980 2013 2080 2112 2145 2196 2285 2288 2340 2379 2440 2496 2521 2574 2640 2684 2742 2745 2860 2880 2928 3120 3168 3172 3355 3432 3520 3656 3660 3744 3904 3960 3965 4026 4113 4160 4290 4392 4570 4576 4680 4733 4758 4880 5027 5042 5148 5280 5368 5484 5490 5720 5856 5941 6039 6240 6336 6344 6435 6710 6855 6864 7137 7312 7320 7488 7563 7920 7930 8052 8226 8580 8723 8784 9140 9152 9360 9466 9516 9760 10054 10065 10084 10296 10560 10736 10968 10980 11440 11712 11882 11895 12078 12480 12605 12688 12870 13420 13710 13728 14199 14274 14624 14640 15081 15126 15840 15860 16104 16452 17160 17446 17568 17823 18280 18720 18932 19032 19520 20108 20130 20168 20565 20592 21472 21936 21960 22689 22880 23665 23764 23790 24156 25135 25210 25376 25740 26169 26840 27420 27456 27731 27877 28398 28548 29248 29280 29705 30162 30195 30252 31680 31720 32208 32773 32904 34320 34892 35136 35646 35685 36560 37440 37815 37864 38064 40216 40260 40336 41130 41184 42597 42944 43615 43872 43920 45243 45378 45760 47330 47528 47580 48312 50270 50420 50752 51480 52063 52338 53469 53680 54840 55462 55754 56796 57096 58560 59410 60324 60390 60504 61529 63440 64416 65351 65546 65808 68640 69784 70995 71292 71370 73120 75405 75630 75728 76128 78507 80432 80520 80672 82260 82368 83193 83631 85194 87230 87744 87840 89115 90486 90756 94660 95056 95160 96624 98319 100540 100840 102960 104126 104676 106938 107360 109680 110924 111508 113445 113592 114192 118820 120648 120780 121008 123058 126880 128832 130702 130845 131092 131616 137280 138655 139385 139568 141990 142584 142740 146240 150810 151260 151456 152256 153781 156189 157014 160864 161040 161344 163865 164520 166386 167262 170388 174460 175680 178230 180972 181512 184587 189320 190112 190320 193248 196053 196638 201080 201680 205920 208252 209352 212985 213876 214720 219360 221848 223016 226215 226890 227184 228384 237640 241296 241560 242016 246116 249579 250893 253760 260315 261404 261690 262184 263232 267345 277310 278770 279136 283980 285168 285480 288713 294957 301620 302520 302912 306647 307562 307645 312378 314028 321728 322080 326755 327730 329040 332772 334524 340776 348920 356460 360503 361944 362401 363024 369174 378640 380224 380640 386496 392106 392535 393276 402160 403360 411840 415965 416504 418155 418704 425970 427752 438720 443696 446032 452430 453780 454368 456768 461343 468567 475280 482592 483120 484032 491595 492232 499158 501786 520630 522808 523380 524368 534690 553761 554620 557540 558272 567960 570336 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905648796624 908351150304 936737123751 959706017776 960756024360 964775244576 981517518180 982806162624 987980505408 997876143483 1040819026390 1044979380720 1046952019392 1048097481120 1063310644695 1079669269998 1113202205280 1132060995780 1134198021008 1135438937880 1152907229232 1199632522220 1205969055720 1207531728832 1228507703280 1234975631760 1248982831668 1275972773634 1281008032480 1308690024240 1315602606240 1330501524644 1358473194936 1362526725456 1393305840960 1417747526260 1439559026664 1441134036540 1447162866864 1509414661040 1513918583840 1537209638976 1559522278886 1561228539585 1570428029088 1607958740960 1638010271040 1646634175680 1663126905805 1665310442224 1698091493670 1701297031512 1703158406820 1744920032320 1799448783330 1808953583580 1811297593248 1816702300608 1873474247502 1919412035552 1921512048720 1929550489152 1963035036360 1995752286966 2081638052780 2089958761440 2096194962240 2126621289390 2159338539996 2226404410560 2264121991560 2268396042016 2270877875760 2305814458464 2339283418329 2399265044440 2411938111440 2457015406560 2469951263520 2497965663336 2551945547268 2562016064960 2617380048480 2631205212480 2661003049288 2699173174995 2716946389872 2725053450912 2835495052520 2879118053328 2882268073080 2894325733728 2993628430449 3018829322080 3027837167680 3119044557772 3122457079170 3140856058176 3189931934085 3215917481920 3326253811610 3330620884448 3396182987340 3402594063024 3406316813640 3598897566660 3617907167160 3622595186496 3658879192771 3746948495004 3838824071104 3843024097440 3898805697215 3926070072720 3991504573932 4163276105560 4179917522880 4253242578780 4318677079992 4324129955093 4528243983120 4536792084032 4541755751520 4611628916928 4678566836658 4683685618755 4798530088880 4823876222880 4914030813120 4939902527040 4989380717415 4995931326672 5103891094536 5234760096960 5322006098576 5398346349990 5433892779744 5450106901824 5670990105040 5758236106656 5764536146160 5788651467456 5987256860898 6037658644160 6238089115544 6244914158340 6379863868170 6652507623220 6661241768896 6792365974680 6805188126048 6812633627280 7017850254987 7197795133320 7235814334320 7317758385542 7493896990008 7686048194880 7797611394430 7852140145440 7983009147864 8326552211120 8506485157560 8637354159984 8648259910186 9056487966240 9083511503040 9357133673316 9367371237510 9597060177760 9647752445760 9978761434830 9991862653344 10207782189072 10644012197152 10796692699980 10867785559488 10976637578313 11341980210080 11516472213312 11529072292320 11696417091645 11974513721796 12476178231088 12489828316680 12759727736340 12972389865279 13305015246440 13584731949360 13610376252096 13625267254560 14035700509974 14395590266640 14471628668640 14635516771084 14968142152245 14987793980016 15595222788860 15704280290880 15966018295728 16653104422240 17012970315120 17274708319968 17296519820372 18112975932480 18294395963855 18714267346632 18734742475020 19194120355520 19957522869660 19983725306688 20415564378144 21288024394304 21593385399960 21620649775465 21953275156626 22683960420160 23058144584640 23392834183290 23949027443592 24952356462176 24979656633360 25519455472680 25944779730558 26610030492880 27169463898720 27250534509120 28071401019948 28791180533280 28943257337280 29271033542168 29936284304490 29975587960032 31190445577720 31932036591456 32929912734939 33306208844480 34025940630240 34549416639936 34593039640744 35089251274935 36588791927710 37428534693264 37469484950040 38917169595837 39915045739320 40831128756288 43186770799920 43241299550930 43906550313252 46785668366580 47565429506023 47898054887184 49904712924352 49959313266720 51038910945360 51889559461116 53220060985760 54338927797440 54883187891565 56142802039896 57582361066560 58542067084336 59872568608980 59951175920064 62380891155440 63864073182912 64861949326395 65859825469878 68051881260480 69186079281488 70178502549870 73177583855420 74857069386528 74938969900080 77834339191674 79830091478640 86373541599840 86482599101860 87813100626504 93571336733160 95130859012046 95796109774368 99918626533440 102077821890720 103779118922232 106440121971520 109766375783130 112285604079792 117084134168672 119745137217960 124761782310880 129723898652790 131719650939756 138372158562976 140357005099740 142696288518069 146355167710840 149714138773056 149877939800160 155668678383348 159660182957280 164649563674695 172747083199680 172965198203720 175626201253008 187142673466320 190261718024092 191592219548736 194585847979185 204155643781440 207558237844464 219532751566260 224571208159584 234168268337344 237827147530115 239490274435920 249523564621760 259447797305580 263439301879512 276744317125952 280714010199480 285392577036138 292710335421680 299755879600320 311337356766696 319320365914560 329299127349390 345930396407440 351252402506016 374285346932640 380523436048184 389171695958370 415116475688928 428088865554207 439065503132520 449142416319168 475654295060230 478980548871840 518895594611160 526878603759024 561428020398960 570785154072276 585420670843360 622674713533392 658598254698780 691860792814880 702504805012032 713481442590345 748570693865280 761046872096368 778343391916740 830232951377856 856177731108414 878131006265040 951308590120460 957961097743680 1037791189222320 1053757207518048 1122856040797920 1141570308144552 1170841341686720 1245349427066784 1317196509397560 1383721585629760 1426962885180690 1522093744192736 1556686783833480 1712355462216828 1756262012530080 1902617180240920 2075582378444640 2107514415036096 2140444327771035 2245712081595840 2283140616289104 2490698854133568 2634393018795120 2853925770361380 3044187488385472 3113373567666960 3424710924433656 3512524025060160 3805234360481840 4151164756889280 4280888655542070 4566281232578208 5268786037590240 5707851540722760 6226747135333920 6849421848867312 7610468720963680 8561777311084140 9132562465156416 10537572075180480 11415703081445520 12453494270667840 13698843697734624 15220937441927360 17123554622168280 22831406162891040 27397687395469248 34247109244336560 45662812325782080 68494218488673120 136988436977346240
- Sum of all divisors σ(n): 564206530557406464
- Sum of proper divisors (its aliquot sum) s(n): 427218093580060224
- 136988436977346240 is an abundant number, because the sum of its proper divisors (427218093580060224) is greater than itself. Its abundance is 290229656602713984
Bases of 136988436977346240
- Binary: 1111001101010111001000001111101000101111011100110110000002
- Hexadecimal: 0x1E6AE41F45EE6C0
- Base-36: 11GUCJ5ZOKW0
Squares and roots of 136988436977346240
- 136988436977346240 squared (1369884369773462402) is 18765831865496362651366952842137600
- 136988436977346240 cubed (1369884369773462403) is 2570701975834024297514627902920106941314096922624000
-
The
square root of 136988436977346240 is 370119490.1343973267 -
The
cube root of 136988436977346240 is 515499.1697422329
Scales and comparisons
How big is 136988436977346240?- 136,988,436,977,346,240 seconds is equal to 4,355,808,562 years, 42 weeks, 5 days, 10 hours, 24 minutes.
-
To count from 1 to 136,988,436,977,346,240 would take you about thirteen billion, sixty-seven million, four hundred twenty-five thousand, six hundred eighty-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 136988436977346240 cubic inches would be around 42958.3 feet tall.
Recreational maths with 136988436977346240
- 136988436977346240 backwards is 042643779634889631
- 136988436977346240 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 136988436977346240's digits is 90
- More coming soon!
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Cite this page
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"Number 136988436977346240 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 136988436977346240 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/136988436977346240/
Chicago style:
Numbermatics. 2024. "Number 136988436977346240 - Facts about the integer". https://numbermatics.com/n/136988436977346240/
The information we have on file for 136988436977346240 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!
Keywords: Divisors of 136988436977346240, math, Factors of 136988436977346240, curriculum, school, college, exams, university, Prime factorization of 136988436977346240, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-six quadrillion, nine hundred eighty-eight trillion, four hundred thirty-six billion, nine hundred seventy-seven million, three hundred forty-six thousand, two hundred forty.