137142427293000
137,142,427,293,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137142427293000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
137142427293000 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 137142427293000:
23 × 33 × 53 × 29 × 37 × 61 × 71 × 1093
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 37 × 61 × 71 × 1093)See below for interesting mathematical facts about the number 137142427293000 from the Numbermatics database.
Names of 137142427293000
- Cardinal: 137142427293000 can be written as One hundred thirty-seven trillion, one hundred forty-two billion, four hundred twenty-seven million, two hundred ninety-three thousand.
Scientific notation
- Scientific notation: 1.37142427293 × 1014
Factors of 137142427293000
Divisors of 137142427293000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 29 30 36 37 40 45 50 54 58 60 61 71 72 74 75 87 90 100 108 111 116 120 122 125 135 142 145 148 150 174 180 183 185 200 213 216 222 225 232 244 250 261 270 284 290 296 300 305 333 348 355 360 366 370 375 426 435 444 450 488 500 522 540 549 555 568 580 600 610 639 666 675 696 710 725 732 740 750 783 852 870 888 900 915 925 999 1000 1044 1065 1073 1080 1093 1098 1110 1125 1160 1220 1278 1305 1332 1350 1420 1450 1464 1480 1500 1525 1566 1647 1665 1704 1740 1769 1775 1800 1830 1850 1917 1998 2059 2088 2130 2146 2175 2186 2196 2220 2250 2257 2440 2556 2610 2627 2664 2700 2745 2775 2840 2900 3000 3050 3132 3195 3219 3279 3294 3330 3375 3480 3538 3550 3625 3660 3700 3834 3915 3996 4118 4260 4292 4331 4350 4372 4392 4440 4500 4514 4575 4625 4995 5112 5220 5254 5307 5325 5365 5400 5465 5490 5550 5800 6100 6177 6264 6390 6438 6525 6558 6588 6660 6750 6771 7076 7100 7250 7320 7400 7625 7668 7830 7881 7992 8235 8236 8325 8520 8584 8662 8700 8744 8845 8875 9000 9028 9150 9250 9585 9657 9837 9990 10295 10440 10508 10614 10650 10730 10875 10930 10980 11100 11285 12200 12354 12780 12876 12993 13050 13116 13135 13176 13320 13500 13542 13725 13875 14152 14200 14500 15250 15336 15660 15762 15921 15975 16095 16395 16470 16472 16650 17324 17400 17690 17750 18056 18300 18500 18531 19170 19314 19575 19674 19980 20313 20590 21016 21228 21300 21460 21655 21750 21860 21960 22200 22570 22875 23643 24708 24975 25560 25752 25986 26100 26232 26270 26535 26625 26825 27000 27084 27325 27450 27750 28971 29000 29511 30500 30885 31320 31524 31697 31842 31950 32190 32625 32790 32940 33300 33855 34648 35380 35500 36600 37000 37062 38340 38628 38979 39150 39348 39405 39960 40441 40626 41175 41180 41625 42456 42600 42920 43310 43500 43720 44225 45140 45750 47286 47763 47925 48285 49185 49416 49950 51475 51972 52200 52540 53070 53250 53650 54168 54650 54900 55500 55593 56425 57942 59022 60939 61000 61770 63048 63394 63684 63900 64380 64965 65250 65453 65580 65675 65880 66600 66673 67710 68625 70760 70929 71000 74124 76183 76680 77256 77603 77958 78300 78696 78810 79605 79875 80475 80882 81252 81975 82350 82360 83250 86620 87000 88450 90280 91500 92655 94572 95091 95526 95850 96570 97875 98370 99900 101565 102950 103944 105080 106140 106500 107300 108275 109300 109800 111000 111186 112850 115884 116937 118044 118215 121323 121878 123540 124875 125599 126788 127368 127800 128760 129930 130500 130906 131160 131350 132675 133346 134125 135420 136625 137250 141858 144855 147555 148248 152366 154425 155206 155916 156600 157620 158485 159210 159750 160247 160950 161764 162504 163950 164700 166500 169275 173240 176900 183000 185310 189144 190182 191052 191700 193140 194895 195750 196359 196740 197025 199800 200019 202205 203130 205875 205900 212280 213000 214600 216550 218600 221125 222372 225700 228549 231768 232809 233874 236088 236430 238815 239625 241425 242646 243756 245925 247080 249750 251198 253576 257375 259860 261000 261812 262700 265350 266692 268250 270840 273250 274500 277965 282125 283716 285273 289710 295110 304695 304732 308850 310412 311832 315240 316970 318420 319500 320494 321900 323528 324825 327265 327900 328375 329400 333000 333365 338550 353800 354645 363969 370620 376797 380364 380915 382104 383400 386280 388015 389790 391500 392718 393480 394050 398025 400038 402375 404410 406260 409875 411750 411800 433100 442250 444744 451400 457098 463275 465618 467748 472860 475455 477630 479250 480741 482850 485292 487512 491850 499500 502396 507825 514750 519720 523624 525400 530700 533384 536500 541375 546500 549000 555930 564250 567432 570546 579420 584685 589077 590220 591075 600057 606615 609390 609464 617700 620824 627995 633940 636840 639000 640988 643800 649650 654530 655800 656750 663375 666730 677100 685647 698427 709290 724275 727938 737775 741240 753594 760728 761830 772125 776030 779580 783000 785436 788100 792425 796050 800076 801235 804750 808820 812520 819750 823500 846375 855819 866200 884500 914196 926550 931236 935496 945720 950910 955260 958500 961482 965700 970584 974475 981795 983700 985125 999000 1000095 1004792 1011025 1015650 1029500 1061400 1073000 1082750 1091907 1093000 1111860 1128500 1130391 1141092 1142745 1158840 1164045 1169370 1172789 1178154 1180440 1182150 1194075 1200114 1207125 1213230 1218780 1229625 1235400 1255990 1267880 1281976 1299300 1309060 1313500 1326750 1333460 1354200 1371294 1389825 1396854 1418580 1426365 1442223 1448550 1455876 1475550 1507188 1523475 1523660 1544250 1552060 1559160 1570872 1576200 1584850 1592100 1600152 1602470 1609500 1617640 1624125 1636325 1639500 1647000 1666825 1692750 1711638 1767231 1769000 1773225 1800171 1819845 1828392 1853100 1862472 1883985 1901820 1904575 1910520 1917000 1922964 1931400 1933517 1940075 1948950 1963590 1967400 1970250 1990125 2000190 2022050 2031300 2056941 2059000 2095281 2165500 2183814 2223720 2250487 2257000 2260782 2282184 2285490 2316375 2328090 2338740 2345578 2356308 2364300 2377275 2388150 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6279950 6339400 6409880 6496500 6545300 6667300 6751461 6771000 6782346 6846552 6856470 6949125 6984270 7036734 7068924 7092900 7131825 7200684 7211115 7242750 7279380 7377750 7400703 7535940 7617375 7618300 7734068 7760300 7795800 7854360 7881000 7924250 7960500 8000760 8012350 8088200 8181625 8227764 8334125 8381124 8558190 8613933 8653338 8735256 8836155 8866125 9000855 9001948 9043128 9099225 9141960 9265500 9294326 9312360 9382312 9419925 9467566 9509100 9522875 9552600 9614820 9657000 9667585 9700375 9744750 9817950 9837000 9867604 10000950 10110250 10156500 10284705 10476405 10555101 10919070 11118600 11252435 11303910 11410920 11427450 11485244 11537784 11601102 11640450 11693700 11727890 11781540 11821500 11886375 11940750 12001140 12018525 12132300 12187800 12334505 12559900 12993000 13090600 13334600 13502922 13564692 13712940 13898250 13941489 13968540 14073468 14137848 14185800 14201349 14263650 14356555 14401368 14422230 14485500 14558760 14617125 14726925 14755500 14801406 15001425 15071880 15165375 15234750 15236600 15468136 15520600 15699875 15848500 15921000 16024700 16363250 16455528 16668250 16762248 16955865 17116380 17141175 17227866 17306676 17401653 17460675 17591835 17672310 17732250 18001710 18003896 18198450 18531000 18588652 18839850 18935132 19018200 19045750 19229640 19335170 19400750 19489500 19635900 19735208 20001900 20030875 20220500 20254383 20313000 20569410 20952810 21110202 21395475 21633345 21838140 22202109 22504870 22607820 22854900 22970488 23202204 23235815 23280900 23387400 23455780 23563080 23643000 23668915 23772750 23881500 24002280 24037050 24264600 24544875 24669010 25002375 25119800 25841799 27005844 27129384 27297675 27425880 27796500 27882978 27937080 28146936 28259775 28402698 28527300 28568625 28713110 28844460 28971000 29002755 29101125 29234250 29319725 29453850 29511000 29602812 30002850 30330750 30469500 31399750 31665303 31697000 32049400 32726500 33336500 33757305 33911730 34232760 34282350 34455732 34613352 34803306 34921350 35183670 35344620 35464500 35659125 36003420 36055575 36396900 37003515 37177304 37679700 37870264 38091500 38670340 38801500 38979000 39271800 40003800 40061750 40441000 40508766 41138820 41824467 41905620 42220404 42604047 42790950 43069665 43266690 43676280 44180775 44404218 45004275 45009740 45215640 45496125 45709800 46404408 46471630 46561800 46911560 47099625 47337830 47545500 47763000 48074100 48337925 49089750 49338020 50004750 51423525 51683598 52204959 52382025 52775505 54011688 54595350 55593000 55765956 56262175 56519550 56805396 57054600 57137250 57426220 57688920 58005510 58202250 58468500 58639450 58907700 59205624 60005700 60092625 60661500 60763149 60939000 61672525 62799500 63330606 65453000 66606327 66673000 67514610 67823460 68564700 68911464 69606612 69707445 69842700 70367340 70689240 70929000 71006745 71318250 71540129 71782775 72006840 72111150 72793800 73634625 74007030 75007125 75359400 76183000 77340680 77525397 77603000 80123500 81017532 82277640 83268019 83648934 83811240 84440808 84779325 85208094 85581900 85705875 86139330 86533380 87008265 87303375 87959175 88361550 88808436 90008550 90019480 90992250 92943260 94199250 94675660 95091000 96148200 96675850 98179500 98676040 100009500 101271915 102847050 103367196 104409918 104764050 105551010 106977375 108166725 109190700 111010545 111531912 112524350 113039100 113610792 114274500 114852440 116011020 116179075 116404500 116937000 117278900 117815400 118344575 120011400 120185250 121323000 121526298 123345050 125473401 125599000 126661212 127812141 129208995 133212654 135029220 135646920 136488375 137129400 137279707 139213224 139414890 139685400 140734680 141298875 142013490 142636500 143080258 143565550 144222300 145013775 146598625 147269250 148014060 150014250 155050794 158326515 160247000 162035064 166536038 167297868 168786525 169558650 170416188 171163800 171411750 172278660 173066760 174016530 174606750 175149971 175918350 176723100 177616872 180017100 180277875 181984500 185017575 185886520 188398500 189351320 193351700 196359000 200019000 202543830 205694100 206734392 208819836 209122335 209528100 211102020 213020235 213954750 214620387 215348325 216333450 218381400 220903875 222021090 225021375 225048700 226078200 228549000 232022040 232358150 232809000 234557800 236689150 240370500 241689625 243052596 246690100 249804057 250946802 253322424 255624282 257117625 258417990 261024795 261910125 263877525 266425308 270058440 272976750 274559414 278829780 281310875 282597750 284026980 285273000 286160516 287131100 288444600 290027550 293197250 294538500 296028120 300028500 303815745 308362625 310101588 316653030 333031635 333072076 334595736 337573050 339117300 340832376 342823500 344557320 348033060 348537225 349213500 350299942 351836700 353446200 355033725 357700645 358913875 360034200 360555750 363969000 370035150 376797000 386703400 387626985 405087660 411388200 411839121 416340095 417639672 418244670 419056200 422204040 423896625 426040470 427909500 429240774 430696650 432666900 435041325 439795875 441807750 444042180 450042750 450097400 464716300 473378300 480741000 483379250 486105192 493380200 499608114 501893604 506359575 511248564 514235250 516835980 522049590 523820250 525449913 527755050 532850616 540833625 545953500 549118828 555052725 557659560 562621750 565195500 568053960 572321032 574262200 580055100 580895375 586394500 589077000 591722875 600057000 607631490 616725250 620203176 627367005 633306060 639060705 643861161 646044975 666063270 666144152 675146100 678234600 685647000 686398535 696066120 697074450 698427000 700599884 703673400 710067450 715401290 717827750 721111500 725068875 740070300 749412171 775253970 791632575 810175320 823678242 832680190 836489340 843932625 847793250 852080940 855819000 858481548 861393300 865333800 870082650 875749855 879591750 883615500 888084360 900085500 925087875 929432600 946756600 966758500 999216228 1003787208 1012719150 1022497128 1028470500 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2509468020 2531797875 2556242820 2575444644 2584179900 2610247950 2627249565 2638775250 2664253080 2745594140 2775263625 2788297800 2840269800 2861605160 2871311000 2900275500 2997648684 3038157450 3101015880 3136835025 3152699478 3166530300 3195303525 3219305805 3230224875 3294712968 3330316350 3330720760 3375730500 3391173000 3431992675 3480330600 3485372250 3502999420 3518367000 3550337250 3577006450 3700351500 3706552089 3747060855 3863166966 3876269850 3958162875 4050876600 4118391210 4163400950 4182446700 4203599304 4260404700 4292407740 4306966500 4326669000 4350413250 4378749275 4440421800 4496473026 4647163000 4729049217 4733783000 4942069452 4996081140 5018936040 5063595750 5079349159 5112485640 5150889288 5168359800 5220495900 5228058375 5254499130 5277550500 5325505875 5365509675 5491188280 5550527250 5800551000 5995297368 6076314900 6177586815 6245101425 6273670050 6305398956 6333060600 6390607050 6438611610 6460449750 6525619875 6660632700 6751461000 6863985350 6970744500 7005998840 7100674500 7154012900 7400703000 7413104178 7494121710 7595393625 7726333932 7752539700 7881748695 7916325750 8236782420 8325790875 8326801900 8364893400 8520809400 8584815480 8613933000 8700826500 8757498550 8942516125 8992946052 9458098434 9657917415 9690674625 9884138904 9992162280 10127191500 10158698318 10295978025 10408502375 10440991800 10456116750 10508998260 10555101000 10651011750 10731019350 11101054500 11241182565 12152629800 12355173630 12490202850 12547340100 12610797912 12781214100 12877223220 12920899500 13051239750 13136247825 13321265400 13727970700 13941489000 14201349000 14308025800 14826208356 14988243420 15190787250 15238047477 15452667864 15505079400 15684175125 15763497390 15832651500 15976517625 16096529025 16473564840 16651581750 16653603800 17159963375 17401653000 17514997100 17885032250 17985892104 18532760445 18735304275 18916196868 19315834830 19381349250 20254383000 20317396636 20591956050 20817004750 20912233500 21017996520 21302023500 21462038700 21893746375 22202109000 22482365130 23645246085 24710347260 24980405700 25094680200 25396745795 25562428200 25754446440 25841799000 26102479500 26272495650 26827548375 27455941400 29652416712 29976486840 30381574500 30476094954 30887934075 31225507125 31368350250 31526994780 31665303000 31953035250 32193058050 33303163500 34319926750 35029994200 35770064500 37065520890 37470608550 37832393736 38631669660 38762698500 39408743475 40634793272 41183912100 41634009500 41824467000 42604047000 42924077400 43787492750 44964730260 45714142431 47290492170 48289587075 49420694520 49960811400 50793491590 51479890125 52204959000 52544991300 53655096750 56205912825 60763149000 60952189908 61775868150 62451014250 62736700500 63053989560 63906070500 64386116100 65681239125 66606327000 68639853500 71540129000 74131041780 74941217100 76190237385 77263339320 77525397000 78817486950 80482645125 82367824200 83268019000 87574985500 89929460520 91428284862 92663802225 93676521375 94580984340 96579174150 101586983180 102959780250 105089982600 107310193500 112411825650 118226230425 121904379816 123551736300 124902028500 125473401000 126983728975 127812141000 128772232200 131362478250 137142427293 137279707000 148262083560 149882434200 152380474770 154439670375 157634973900 160965290250 175149971000 182856569724 185327604450 187353042750 189161968680 193158348300 197043717375 203173966360 205919560500 214620387000 224823651300 228570712155 236452460850 241447935375 247103472600 249804057000 253967457950 262724956500 274284854586 281029564125 304760949540 308879340750 315269947800 321930580500 365713139448 370655208900 374706085500 380951186925 386316696600 394087434750 411839121000 449647302600 457141424310 463319011125 472904921700 482895870750 507934915900 525449913000 548569709172 562059128250 591131152125 609521899080 617758681500 634918644875 643861161000 685712136465 741310417800 749412171000 761902373850 788174869500 914282848620 926638022250 945809843400 965791741500 1015869831800 1097139418344 1124118256500 1142853560775 1182262304250 1235517363000 1269837289750 1371424272930 1523804747700 1576349739000 1828565697240 1853276044500 1904755934625 1931583483000 2248236513000 2285707121550 2364524608500 2539674579500 2742848545860 3047609495400 3428560682325 3706552089000 3809511869250 4571414243100 4729049217000 5079349159000 5485697091720 5714267803875 6857121364650 7619023738500 9142828486200 11428535607750 13714242729300 15238047477000 17142803411625 22857071215500 27428485458600 34285606823250 45714142431000 68571213646500 137142427293000
- Sum of all divisors σ(n): 521101361664000
- Sum of proper divisors (its aliquot sum) s(n): 383958934371000
- 137142427293000 is an abundant number, because the sum of its proper divisors (383958934371000) is greater than itself. Its abundance is 246816507078000
Bases of 137142427293000
- Binary: 111110010111010111101011010100110010101010010002
- Hexadecimal: 0x7CBAF5A99548
- Base-36: 1CM2D0APU0
Squares and roots of 137142427293000
- 137142427293000 squared (1371424272930002) is 18808045363815791307849000000
- 137142427293000 cubed (1371424272930003) is 2579380993830552892481942862722757000000000
-
The
square root of 137142427293000 is 11710782.5226583387 -
The
cube root of 137142427293000 is 51569.2256972753
Scales and comparisons
How big is 137142427293000?- 137,142,427,293,000 seconds is equal to 4,360,704 years, 50 weeks, 6 days, 4 hours, 30 minutes.
-
To count from 1 to 137,142,427,293,000 would take you about ten million, nine hundred one thousand, seven hundred sixty-two 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 137142427293000 cubic inches would be around 4297.4 feet tall.
Recreational maths with 137142427293000
- 137142427293000 backwards is 000392724241731
- 137142427293000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137142427293000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 137142427293000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 137142427293000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/137142427293000/
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Numbermatics. 2024. "Number 137142427293000 - Facts about the integer". https://numbermatics.com/n/137142427293000/
The information we have on file for 137142427293000 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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