131742370032000
131,742,370,032,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 131742370032000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
131742370032000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 131742370032000:
27 × 3 × 53 × 7 × 13 × 31 × 157 × 6197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 31 × 157 × 6197)See below for interesting mathematical facts about the number 131742370032000 from the Numbermatics database.
Names of 131742370032000
- Cardinal: 131742370032000 can be written as One hundred thirty-one trillion, seven hundred forty-two billion, three hundred seventy million, thirty-two thousand.
Scientific notation
- Scientific notation: 1.31742370032 × 1014
Factors of 131742370032000
Divisors of 131742370032000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 31 32 35 39 40 42 48 50 52 56 60 62 64 65 70 75 78 80 84 91 93 96 100 104 105 112 120 124 125 128 130 140 150 155 156 157 160 168 175 182 186 192 195 200 208 210 217 224 240 248 250 260 273 280 300 310 312 314 320 325 336 350 364 372 375 384 390 400 403 416 420 434 448 455 465 471 480 496 500 520 525 546 560 600 620 624 628 640 650 651 672 700 728 744 750 775 780 785 800 806 832 840 868 875 896 910 930 942 960 975 992 1000 1040 1050 1085 1092 1099 1120 1200 1209 1240 1248 1256 1300 1302 1344 1365 1400 1456 1488 1500 1550 1560 1570 1600 1612 1625 1664 1680 1736 1750 1820 1860 1884 1920 1950 1984 2000 2015 2041 2080 2100 2170 2184 2198 2240 2275 2325 2355 2400 2418 2480 2496 2512 2600 2604 2625 2688 2730 2800 2821 2912 2976 3000 3100 3120 3140 3200 3224 3250 3255 3297 3360 3472 3500 3640 3720 3768 3875 3900 3925 3968 4000 4030 4082 4160 4200 4340 4368 4396 4480 4550 4650 4710 4800 4836 4867 4875 4960 4992 5024 5200 5208 5250 5425 5460 5495 5600 5642 5824 5952 6000 6045 6123 6197 6200 6240 6280 6448 6500 6510 6594 6720 6825 6944 7000 7280 7440 7536 7750 7800 7850 8000 8060 8164 8320 8400 8463 8680 8736 8792 9100 9300 9420 9600 9672 9734 9750 9920 10048 10075 10205 10400 10416 10500 10850 10920 10990 11200 11284 11375 11625 11648 11775 11904 12000 12090 12246 12394 12400 12480 12560 12896 13000 13020 13188 13440 13650 13888 14000 14105 14287 14560 14601 14880 15072 15500 15600 15700 16000 16120 16275 16328 16485 16800 16926 17360 17472 17584 18200 18591 18600 18840 19344 19468 19500 19625 19840 20096 20150 20410 20800 20832 21000 21700 21840 21980 22400 22568 22750 23250 23550 24000 24180 24335 24492 24788 24800 24960 25120 25792 26000 26040 26376 27125 27300 27475 27776 28000 28210 28574 29120 29202 29760 30144 30225 30615 30985 31000 31200 31400 32240 32550 32656 32970 33600 33852 34069 34125 34720 34944 35168 36400 37182 37200 37680 38688 38936 39000 39250 40300 40820 41600 41664 42000 42315 42861 43379 43400 43680 43960 45136 45500 46500 47100 48000 48360 48670 48984 49576 49600 50240 50375 51025 51584 52000 52080 52752 54250 54600 54950 56000 56420 57148 58240 58404 58875 59520 60288 60450 61230 61970 62000 62400 62800 63271 64480 65100 65312 65940 67200 67704 68138 68250 69440 70336 70525 71435 72800 73005 74364 74400 75360 77376 77872 78000 78500 80561 80600 81375 81640 82425 83328 84000 84630 85722 86758 86800 87360 87920 90272 91000 92955 93000 94200 96720 97340 97968 99152 99200 100480 100750 102050 102207 104000 104160 105504 108500 109200 109900 112000 112840 114296 116808 117750 120900 121675 122460 123940 124000 124800 125600 126542 128960 130137 130200 130624 131880 135408 136276 136500 137375 138880 140672 141050 142870 145600 146010 148728 148800 150720 151125 153075 154752 154925 155744 156000 157000 161122 161200 162750 163280 164850 168000 169260 170345 171444 173516 173600 174720 175840 180544 182000 185910 186000 188400 189813 192107 193440 194680 195936 198304 201500 204100 204414 208000 208320 211008 211575 214305 216895 217000 218400 219800 225680 228592 233616 235500 241683 241800 243350 244920 247880 248000 251200 253084 255125 257920 260274 260400 261248 263760 270816 272552 273000 274750 282100 285740 291200 292020 297456 297600 301440 302250 306150 309850 311488 312000 314000 316355 322244 322400 325500 326560 329700 336000 338520 340690 342888 347032 347200 351680 352625 357175 361088 364000 365025 371820 372000 376800 379626 384214 386880 389360 391872 396608 402805 403000 408200 408828 412125 416640 422016 423150 428610 433790 434000 436800 439600 442897 451360 457184 464775 467232 471000 483366 483600 486700 489840 495760 496000 502400 506168 510250 511035 520548 520800 527520 541632 545104 546000 549500 563927 564200 571480 576321 584040 594912 604500 608375 612300 619700 622976 624000 628000 632710 644488 644800 650685 651000 653120 659400 677040 681380 685776 694064 694400 703360 705250 714350 728000 730050 743640 744000 753600 759252 765375 768428 773760 774625 778720 783744 793216 805610 806000 816400 817656 824250 846300 851725 857220 867580 868000 873600 879200 885794 902720 914368 929550 934464 942000 949065 960535 966732 967200 972929 973400 979680 991520 1012336 1020500 1022070 1041096 1041600 1055040 1057875 1071525 1083264 1084475 1090208 1092000 1099000 1127854 1128400 1142960 1152642 1168080 1189824 1208415 1209000 1216750 1224600 1239400 1256000 1265420 1288976 1289600 1301370 1302000 1306240 1318800 1328691 1344749 1354080 1362760 1371552 1388128 1410500 1428700 1456000 1460100 1487280 1488000 1507200 1518504 1530750 1536856 1549250 1557440 1581775 1611220 1612000 1632800 1635312 1648500 1691781 1692600 1703450 1714440 1735160 1736000 1758400 1771588 1785875 1805440 1825125 1828736 1859100 1868928 1884000 1898130 1921070 1933464 1934400 1945858 1946800 1959360 1983040 2014025 2024672 2041000 2044140 2082192 2083200 2110080 2115750 2143050 2168950 2180416 2184000 2198000 2214485 2255708 2256800 2285920 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18045664 18442272 18591000 18981300 19210700 19334640 19344000 19458580 19468000 19593600 19830400 19979128 20140250 20171235 20246720 20431509 20441400 20821920 21259056 21430500 21515984 21689500 21804160 22144850 22557080 22568000 22859200 23052840 23350296 23361600 23726625 24013375 24168300 24296064 24323225 24492000 24589696 24788000 24973910 25296154 25308400 25551750 25779520 26027400 26376000 26573820 26894980 27068496 27081600 27242012 27255200 27431040 27762560 28196350 28345408 28574000 28816050 29187870 29202000 29745600 29968692 30160799 30210375 30370080 30737120 30935424 31133728 31635500 32224400 32273976 32534250 32656000 32706240 33217275 33618725 33835620 33852000 34052515 34069000 34288800 34703200 34963474 35431760 36091328 36884544 37182000 37460865 37944231 37962600 38421400 38669280 38917160 38936000 39958256 40280500 40342470 40493440 40863018 40882800 41643840 42294525 42518112 42861000 43031968 43379000 44289700 45114160 45136000 45718400 46105680 46700592 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4856861568 4994782000 5059230800 5067014232 5107877250 5244521100 5278139825 5312192340 5314764000 5378996000 5413699200 5448402400 5489265418 5594155840 5666338496 5790873408 5837574000 5881355805 5993738400 6032159800 6071076960 6273446192 6324038500 6333767790 6454795200 6538082880 6555651375 6640240425 6712987008 6756018976 6767124000 6810503000 6992694800 7082923120 7086352000 7238591760 7492173000 7540199750 7588846200 7783432000 7841807740 7991651200 8068494000 8094769280 8172603600 8233898127 8391233760 8445023720 8499507744 8740868500 8853653900 9022832000 9048239700 9221136000 9340118400 9410169288 9486057750 9651455680 9802259675 9989564000 10118461600 10134028464 10215754500 10489042200 10556279650 10624384680 10629528000 10757992000 10896804800 10978530836 11067067375 11188311680 11310299625 11332676992 11581746816 11675148000 11762711610 11987476800 12064319600 12142153920 12546892384 12648077000 12667535580 12909590400 13076165760 13111302750 13280480850 13512037952 13534248000 13621006000 13723163545 13985389600 14165846240 14477183520 14984346000 15080399500 15177692400 15566864000 15683615480 15834419475 16136988000 16345207200 16467796254 16782467520 16890047440 16999015488 17481737000 17707307800 18096479400 18820338576 18972115500 19302911360 19604519350 19979128000 20236923200 20268056928 20431509000 20978084400 21112559300 21248769360 21259056000 21515984000 21793609600 21957061672 22134134750 22620599250 23350296000 23525423220 23974953600 24128639200 24284307840 25093784768 25296154000 25335071160 26222605500 26390699125 26560961700 27024075904 27068496000 27242012000 27446327090 27970779200 28331692480 28954367040 29406779025 29968692000 30160799000 30355384800 31367230960 31668838950 32273976000 32690414400 32935592508 33201202125 33564935040 33780094880 33998030976 34963474000 35414615600 36192958800 37640677152 37944231000 39209038700 39958256000 40473846400 40536113856 40863018000 41169490635 41956168800 42225118600 42497538720 43914123344 44268269500 45241198500 46700592000 47050846440 48257278400 49011298375 50187569536 50592308000 50670142320 52445211000 52781398250 53121923400 54484024000 54892654180 55941558400 56663384960 57908734080 58813558050 59937384000 60321598000 60710769600 62734461920 63337677900 64547952000 65380828800 65871185016 66402404250 67560189760 68615817725 69926948000 70829231200 72385917600 75281354304 75888462000 78418077400 79172097375 81072227712 81726036000 82338981270 83912337600 84450237200 84995077440 87828246688 88536539000 90482397000 94101692880 96514556800 98022596750 101184616000 101340284640 104890422000 105562796500 106243846800 108968048000 109785308360 117627116100 119874768000 120643196000 121421539200 125468923840 126675355800 131742370032 132804808500 135120379520 137231635450 139853896000 141658462400 144771835200 147033895125 150562708608 151776924000 156836154800 158344194750 163452072000 164677962540 167824675200 168900474400 169990154880 175656493376 177073078000 180964794000 188203385760 196045193500 202369232000 202680569280 205847453175 209780844000 211125593000 212487693600 219570616720 235254232200 241286392000 250937847680 253350711600 263484740064 265609617000 274463270900 279707792000 283316924800 289543670400 294067790250 303553848000 313672309600 316688389500 326904144000 329355925080 337800948800 343079088625 351312986752 354146156000 361929588000 376406771520 392090387000 405361138560 411694906350 419561688000 422251186000 424975387200 439141233440 470508464400 482572784000 506701423200 526969480128 531219234000 548926541800 588135580500 607107696000 627344619200 633376779000 658711850160 675601897600 686158177250 708292312000 723859176000 752813543040 784180774000 823389812700 839123376000 844502372000 849950774400 878282466880 941016928800 1013402846400 1029237265875 1053938960256 1062438468000 1097853083600 1176271161000 1254689238400 1266753558000 1317423700320 1372316354500 1416584624000 1447718352000 1568361548000 1646779625400 1689004744000 1756564933760 1882033857600 2026805692800 2058474531750 2124876936000 2195706167200 2352542322000 2533507116000 2634847400640 2744632709000 3136723096000 3293559250800 3378009488000 3764067715200 4116949063500 4249753872000 4391412334400 4705084644000 5067014232000 5269694801280 5489265418000 6273446192000 6587118501600 8233898127000 8782824668800 9410169288000 10134028464000 10978530836000 13174237003200 16467796254000 18820338576000 21957061672000 26348474006400 32935592508000 43914123344000 65871185016000 131742370032000
- Sum of all divisors σ(n): 558472033566720
- Sum of proper divisors (its aliquot sum) s(n): 426729663534720
- 131742370032000 is an abundant number, because the sum of its proper divisors (426729663534720) is greater than itself. Its abundance is 294987293502720
Bases of 131742370032000
- Binary: 111011111010001101010010010101011101001100000002
- Hexadecimal: 0x77D1A92AE980
- Base-36: 1AP5LXMOAO
Squares and roots of 131742370032000
- 131742370032000 squared (1317423700320002) is 17356052061648411681024000000
- 131742370032000 cubed (1317423700320003) is 2286527433000341527566534960672768000000000
-
The
square root of 131742370032000 is 11477907.9118104097 -
The
cube root of 131742370032000 is 50883.2868720831
Scales and comparisons
How big is 131742370032000?- 131,742,370,032,000 seconds is equal to 4,188,999 years, 44 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 131,742,370,032,000 would take you about ten million, four hundred seventy-two thousand, four hundred ninety-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 131742370032000 cubic inches would be around 4240.3 feet tall.
Recreational maths with 131742370032000
- 131742370032000 backwards is 000230073247131
- The number of decimal digits it has is: 15
- The sum of 131742370032000's digits is 33
- More coming soon!
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Cite this page
MLA style:
"Number 131742370032000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 131742370032000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/131742370032000/
Chicago style:
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The information we have on file for 131742370032000 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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