12137109310248960
12,137,109,310,248,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12137109310248960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
12137109310248960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12137109310248960:
211 × 3 × 5 × 29 × 372 × 1272 × 617
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 29 × 37 × 37 × 127 × 127 × 617)See below for interesting mathematical facts about the number 12137109310248960 from the Numbermatics database.
Names of 12137109310248960
- Cardinal: 12137109310248960 can be written as Twelve quadrillion, one hundred thirty-seven trillion, one hundred nine billion, three hundred ten million, two hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.213710931024896 × 1016
Factors of 12137109310248960
Divisors of 12137109310248960
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 37 40 48 58 60 64 74 80 87 96 111 116 120 127 128 145 148 160 174 185 192 222 232 240 254 256 290 296 320 348 370 381 384 435 444 464 480 508 512 555 580 592 617 635 640 696 740 762 768 870 888 928 960 1016 1024 1073 1110 1160 1184 1234 1270 1280 1369 1392 1480 1524 1536 1740 1776 1851 1856 1905 1920 2032 2048 2146 2220 2320 2368 2468 2540 2560 2738 2784 2960 3048 3072 3085 3219 3480 3552 3683 3702 3712 3810 3840 4064 4107 4292 4440 4640 4699 4736 4936 5080 5120 5365 5476 5568 5920 6096 6144 6170 6438 6845 6960 7104 7366 7404 7424 7620 7680 8128 8214 8584 8880 9255 9280 9398 9472 9872 10160 10240 10730 10952 11049 11136 11840 12192 12340 12876 13690 13920 14097 14208 14732 14808 14848 15240 15360 16095 16129 16256 16428 17168 17760 17893 18415 18510 18560 18796 18944 19744 20320 20535 21460 21904 22098 22272 22829 23495 23680 24384 24680 25752 27380 27840 28194 28416 29464 29616 29696 30480 30720 32190 32258 32512 32856 34336 35520 35786 36830 37020 37120 37592 37888 39488 39701 40640 41070 42920 43808 44196 44544 45658 46990 47360 48387 48768 49360 51504 53679 54760 55245 55680 56388 56832 58928 59232 59392 60960 64380 64516 65024 65712 68487 68672 70485 71040 71572 73660 74040 74240 75184 75776 78359 78976 79402 80645 81280 82140 85840 87616 88392 89088 89465 91316 93980 94720 96774 97536 98720 103008 107358 109520 110490 111360 112776 113664 114145 117856 118464 119103 121920 128760 129032 130048 131424 136271 136974 137344 140970 142080 143144 147320 148080 148480 150368 156718 157952 158804 161290 162560 164280 171680 173863 175232 176784 178176 178930 182632 187960 189440 193548 195072 197440 198505 206016 214716 219040 220980 222720 225552 227328 228290 235077 235712 236928 238206 241935 243840 257520 258064 260096 262848 268395 272542 273948 274688 281940 284160 286288 294640 296160 296960 300736 313436 315904 317608 322580 325120 328560 342435 343360 347726 350464 353568 357860 365264 375920 378880 387096 390144 391795 394880 397010 408813 412032 429432 438080 441960 445440 451104 456580 467741 470154 471424 473856 476412 483870 487680 515040 516128 521589 525696 536790 545084 547896 549376 563880 568320 572576 589280 592320 595515 596773 601472 626872 631808 635216 645160 650240 657120 662041 681355 684870 686720 695452 700928 707136 715720 730528 751840 774192 780288 783590 789760 794020 817626 824064 844673 858864 869315 876160 883920 890880 902208 913160 935482 940308 942848 947712 952824 967740 975360 1030080 1032256 1043178 1051392 1073580 1090168 1095792 1098752 1127760 1136640 1145152 1175385 1178560 1184640 1191030 1193546 1202944 1253744 1263616 1270432 1290320 1300480 1314240 1324082 1362710 1369740 1373440 1390904 1401856 1403223 1414272 1431440 1461056 1503680 1548384 1567180 1579520 1588040 1635252 1648128 1689346 1717728 1738630 1752320 1767840 1790319 1804416 1826320 1870964 1880616 1885696 1895424 1905648 1935480 1950720 1986123 2044065 2060160 2064512 2086356 2102784 2147160 2180336 2191584 2197504 2255520 2272411 2290304 2338705 2350770 2357120 2369280 2382060 2387092 2405888 2507488 2534019 2540864 2580640 2607945 2628480 2648164 2725420 2739480 2746880 2781808 2803712 2806446 2828544 2862880 2899283 2922112 2983865 3007360 3096768 3134360 3159040 3176080 3270504 3296256 3310205 3378692 3435456 3477260 3504640 3535680 3580638 3608832 3652640 3741928 3761232 3771392 3790848 3811296 3870960 3901440 3972246 4088130 4120320 4129024 4172712 4205568 4223365 4294320 4360672 4383168 4511040 4544822 4580608 4677410 4701540 4714240 4738560 4764120 4774184 4811776 5014976 5042027 5068038 5081728 5161280 5215890 5256960 5296328 5450840 5478960 5493760 5563616 5612892 5657088 5725760 5798566 5844224 5967730 6014720 6193536 6268720 6318080 6352160 6541008 6592512 6620410 6757384 6817233 6870912 6954520 7009280 7016115 7071360 7161276 7217664 7305280 7483856 7522464 7542784 7622592 7741920 7944492 8176260 8240640 8258048 8345424 8411136 8446730 8588640 8697849 8721344 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46175391520 46663959885 47031392640 47130744448 49774890544 50166818816 50952156160 51226994320 51491266080 51630356480 53165313024 53390296445 53810692480 54494923268 54924017152 55410469824 56526338560 58913430560 61142587392 61472393184 62218613180 62708523520 64068355734 64572830976 66456641280 67831606272 68118654085 68655021440 69263087280 69808465920 70696116672 73880626432 74662335816 75250228224 76428234240 76840491480 77445534720 80716038720 81742384902 81963190912 82386025728 84789507840 85424474312 86097107968 88370145840 88608855040 89065973760 92350783040 93327919770 94062785280 94261488896 99549781088 101904312320 102453988640 102982532160 106330626048 106780592890 107621384960 108989846536 109848034304 110820939648 113052677120 117826861120 122944786368 124437226360 125417047040 128136711468 129145661952 132913282560 135663212544 136237308170 137310042880 138526174560 141392233344 147761252864 149324671632 150500456448 152856468480 153680982960 154891069440 160170889335 161432077440 163484769804 163926381824 164772051456 169579015680 170848948624 172194215936 176740291680 177217710080 184701566080 186655839540 188125570560 188522977792 199099562176 204355962255 204907977280 205965064320 213561185780 215242769920 217979693072 219696068608 221641879296 226105354240 235653722240 245889572736 248874452720 250834094080 256273422936 258291323904 265826565120 272474616340 274620085760 277052349120 282784466688 295522505728 298649343264 305712936960 307361965920 320341778670 322864154880 326969539608 327852763648 329544102912 339158031360 341697897248 353480583360 369403132160 373311679080 376251141120 377045955584 395088193693 398199124352 408711924510 409815954560 411930128640 427122371560 430485539840 435959386144 443283758592 471307444480 491779145472 497748905440 512546845872 516582647808 531653130240 544949232680 549240171520 554104698240 565568933376 591045011456 597298686528 614723931840 640683557340 645728309760 653939079216 655705527296 659088205824 678316062720 683395794496 706961166720 738806264320 746623358160 752502282240 754091911168 790176387386 796398248704 817423849020 819631909120 823860257280 854244743120 860971079680 871918772288 886567517184 942614888960 983558290944 995497810880 1025093691744 1089898465360 1098480343040 1108209396480 1131137866752 1185264581079 1194597373056 1229447863680 1281367114680 1291456619520 1307878158432 1311411054592 1366791588992 1413922333440 1477612528640 1493246716320 1580352774772 1592796497408 1634847698040 1639263818240 1647720514560 1708489486240 1743837544576 1773135034368 1885229777920 1967116581888 1975440968465 1990995621760 2050187383488 2179796930720 2216418792960 2262275733504 2370529162158 2389194746112 2458895727360 2562734229360 2582913239040 2615756316864 2733583177984 2827844666880 2955225057280 2986493432640 3160705549544 3185592994816 3269695396080 3278527636480 3295441029120 3416978972480 3487675089152 3770459555840 3934233163776 3950881936930 3981991243520 4100374766976 4359593861440 4432837585920 4741058324316 4778389492224 4917791454720 5125468458720 5231512633728 5467166355968 5655689333760 5926322905395 5972986865280 6321411099088 6371185989632 6539390792160 6557055272960 6833957944960 6975350178304 7901763873860 7963982487040 8200749533952 8719187722880 8865675171840 9482116648632 9556778984448 9835582909440 10250936917440 10463025267456 10934332711936 11311378667520 11852645810790 11945973730560 12642822198176 13078781584320 13667915889920 13950700356608 15803527747720 15927964974080 16401499067904 17438375445760 18964233297264 19113557968896 19671165818880 20501873834880 20926050534912 21868665423872 23705291621580 23891947461120 25285644396352 26157563168640 27335831779840 27901400713216 31607055495440 31855929948160 32802998135808 34876750891520 37928466594528 41003747669760 41852101069824 47410583243160 47783894922240 50571288792704 52315126337280 54671663559680 63214110990880 65605996271616 69753501783040 75856933189056 82007495339520 83704202139648 94821166486320 95567789844480 101142577585408 104630252674560 109343327119360 126428221981760 139507003566080 151713866378112 164014990679040 189642332972640 202285155170816 209260505349120 252856443963520 303427732756224 328029981358080 379284665945280 404570310341632 418521010698240 505712887927040 606855465512448 758569331890560 809140620683264 1011425775854080 1213710931024896 1517138663781120 2022851551708160 2427421862049792 3034277327562240 4045703103416320 6068554655124480 12137109310248960
- Sum of all divisors σ(n): 41678240922208800
- Sum of proper divisors (its aliquot sum) s(n): 29541131611959840
- 12137109310248960 is an abundant number, because the sum of its proper divisors (29541131611959840) is greater than itself. Its abundance is 17404022301710880
Bases of 12137109310248960
- Binary: 1010110001111010100010111110010000100110011000000000002
- Hexadecimal: 0x2B1EA2F9099800
- Base-36: 3BI8V1KG2DC
Squares and roots of 12137109310248960
- 12137109310248960 squared (121371093102489602) is 147309422408931985567697181081600
- 12137109310248960 cubed (121371093102489603) is 1787910562206845182993410798893177119898075136000
-
The
square root of 12137109310248960 is 110168549.5513531757 -
The
cube root of 12137109310248960 is 229811.4984201859
Scales and comparisons
How big is 12137109310248960?- 12,137,109,310,248,960 seconds is equal to 385,922,533 years, 27 weeks, 22 hours, 56 minutes.
-
To count from 1 to 12,137,109,310,248,960 would take you about one billion, one hundred fifty-seven million, seven hundred sixty-seven thousand, six hundred 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 12137109310248960 cubic inches would be around 19151 feet tall.
Recreational maths with 12137109310248960
- 12137109310248960 backwards is 06984201390173121
- The number of decimal digits it has is: 17
- The sum of 12137109310248960's digits is 57
- More coming soon!
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"Number 12137109310248960 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 12137109310248960 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/12137109310248960/
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The information we have on file for 12137109310248960 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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