135042042024000
135,042,042,024,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 135042042024000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1568 divisors.
135042042024000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred sixty-eight divisors.
Prime factorization of 135042042024000:
26 × 36 × 53 × 19 × 31 × 39313
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 31 × 39313)See below for interesting mathematical facts about the number 135042042024000 from the Numbermatics database.
Names of 135042042024000
- Cardinal: 135042042024000 can be written as One hundred thirty-five trillion, forty-two billion, forty-two million, twenty-four thousand.
Scientific notation
- Scientific notation: 1.35042042024 × 1014
Factors of 135042042024000
Divisors of 135042042024000
- Number of divisors d(n): 1568
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 31 32 36 38 40 45 48 50 54 57 60 62 64 72 75 76 80 81 90 93 95 96 100 108 114 120 124 125 135 144 150 152 155 160 162 171 180 186 190 192 200 216 225 228 240 243 248 250 270 279 285 288 300 304 310 320 324 342 360 372 375 380 400 405 432 450 456 465 475 480 486 496 500 513 540 558 570 576 589 600 608 620 648 675 684 720 729 744 750 760 775 800 810 837 855 864 900 912 930 950 960 972 992 1000 1026 1080 1116 1125 1140 1178 1200 1215 1216 1240 1296 1350 1368 1395 1425 1440 1458 1488 1500 1520 1539 1550 1600 1620 1674 1710 1728 1767 1800 1824 1860 1900 1944 1984 2000 2025 2052 2160 2232 2250 2280 2325 2356 2375 2400 2430 2480 2511 2565 2592 2700 2736 2790 2850 2880 2916 2945 2976 3000 3040 3078 3100 3240 3348 3375 3420 3534 3600 3645 3648 3720 3800 3875 3888 4000 4050 4104 4185 4275 4320 4464 4500 4560 4617 4650 4712 4750 4800 4860 4960 5022 5130 5184 5301 5400 5472 5580 5700 5832 5890 5952 6000 6075 6080 6156 6200 6480 6696 6750 6840 6975 7068 7125 7200 7290 7440 7533 7600 7695 7750 7776 8000 8100 8208 8370 8550 8640 8835 8928 9000 9120 9234 9300 9424 9500 9720 9920 10044 10125 10260 10602 10800 10944 11160 11400 11625 11664 11780 12000 12150 12312 12400 12555 12825 12960 13392 13500 13680 13851 13950 14136 14250 14400 14580 14725 14880 15066 15200 15390 15500 15552 15903 16200 16416 16740 17100 17670 17856 18000 18225 18240 18468 18600 18848 19000 19440 20088 20250 20520 20925 21204 21375 21600 22320 22599 22800 23085 23250 23328 23560 24000 24300 24624 24800 25110 25650 25920 26505 26784 27000 27360 27702 27900 28272 28500 29160 29450 29760 30132 30375 30400 30780 31000 31806 32400 32832 33480 34200 34875 35340 36000 36450 36936 37200 37665 37696 38000 38475 38880 39313 40176 40500 41040 41850 42408 42750 43200 44175 44640 45198 45600 46170 46500 46656 47120 47709 48600 49248 49600 50220 51300 53010 53568 54000 54720 55404 55800 56544 57000 58320 58900 60264 60750 61560 62000 62775 63612 64125 64800 66960 68400 69255 69750 70680 72000 72900 73625 73872 74400 75330 76000 76950 77760 78626 79515 80352 81000 82080 83700 84816 85500 88350 89280 90396 91125 91200 92340 93000 94240 95418 97200 98496 100440 102600 104625 106020 108000 110808 111600 112995 113088 114000 115425 116640 117800 117939 120528 121500 123120 124000 125550 127224 128250 129600 132525 133920 136800 138510 139500 141360 143127 145800 147250 147744 148800 150660 152000 153900 157252 159030 160704 162000 164160 167400 169632 171000 176700 180792 182250 184680 186000 188325 188480 190836 192375 194400 196565 200880 205200 209250 212040 216000 220875 221616 223200 225990 228000 230850 233280 235600 235878 238545 241056 243000 246240 248000 251100 254448 256500 265050 267840 273600 277020 279000 282720 286254 291600 294500 295488 301320 307800 313875 314504 318060 324000 334800 339264 342000 346275 353400 353817 361584 364500 369360 372000 376650 381672 384750 388800 393130 397575 401760 410400 418500 424080 429381 441750 443232 446400 451980 456000 461700 471200 471756 477090 482112 486000 492480 502200 508896 513000 530100 554040 558000 564975 565440 572508 577125 583200 589000 589695 602640 615600 627750 629008 636120 648000 662625 669600 684000 692550 706800 707634 715635 723168 729000 738720 744000 746947 753300 763344 769500 786260 795150 803520 820800 837000 848160 858762 883500 886464 903960 923400 941625 942400 943512 954180 972000 982825 1004400 1017792 1026000 1060200 1061451 1108080 1116000 1129950 1145016 1154250 1166400 1178000 1179390 1192725 1205280 1218703 1231200 1255500 1258016 1272240 1325250 1339200 1368000 1385100 1413600 1415268 1431270 1446336 1458000 1477440 1493894 1506600 1526688 1539000 1572520 1590300 1674000 1696320 1717524 1731375 1767000 1769085 1807920 1846800 1883250 1887024 1908360 1944000 1965650 1987875 2008800 2052000 2120400 2122902 2146905 2216160 2232000 2240841 2259900 2290032 2308500 2356000 2358780 2385450 2410560 2437406 2462400 2511000 2516032 2544480 2650500 2770200 2824875 2827200 2830536 2862540 2916000 2948475 2987788 3013200 3053376 3078000 3145040 3180600 3184353 3348000 3435048 3462750 3534000 3538170 3578175 3615840 3656109 3693600 3734735 3766500 3774048 3816720 3931300 3975750 4017600 4104000 4240800 4245804 4293810 4432320 4481682 4519800 4580064 4617000 4712000 4717560 4770900 4874812 4914125 5022000 5088960 5301000 5307255 5540400 5649750 5661072 5725080 5832000 5896950 5963625 5975576 6026400 6093515 6156000 6290080 6361200 6368706 6696000 6722523 6870096 6925500 7068000 7076340 7156350 7231680 7312218 7387200 7469470 7533000 7548096 7633440 7862600 7951500 8481600 8491608 8587620 8845425 8963364 9039600 9160128 9234000 9435120 9541800 9553059 9749624 9828250 10044000 10602000 10614510 10734525 10968327 11080800 11204205 11299500 11322144 11450160 11793900 11927250 11951152 12052800 12187030 12312000 12580160 12722400 12737412 13445046 13740192 13851000 14136000 14152680 14312700 14624436 14742375 14938940 15066000 15266880 15725200 15903000 15921765 16983216 17175240 17690850 17890875 17926728 18079200 18280545 18468000 18673675 18870240 19083600 19106118 19499248 19656500 20088000 20167569 21204000 21229020 21469050 21936654 22161600 22408410 22599000 22644288 22900320 23155357 23587800 23854500 23902304 24374060 25444800 25474824 26536275 26890092 27480384 27702000 28305360 28625400 28659177 29248872 29484750 29877880 30132000 30467575 31450400 31806000 31843530 32904981 33612615 33966432 34350480 35381700 35781750 35853456 36158400 36561090 36936000 37347350 37740480 38167200 38212236 38998496 39313000 40335138 42408000 42458040 42938100 43873308 44227125 44816820 45198000 45800640 46310714 47175600 47709000 47765295 47804608 48748120 50949648 53072550 53672625 53780184 54841635 55404000 56021025 56610720 57250800 57318354 58497744 58969500 59755760 60264000 60502707 60935150 62900800 63612000 63687060 65809962 67225230 67932864 68700960 69466071 70763400 71563500 71706912 73122180 74694700 76334400 76424472 77996992 78626000 79608825 80670276 84916080 85876200 87746616 88454250 89633640 90396000 91402725 92621428 93368375 94351200 95418000 95530590 97496240 98714943 100837845 101899296 106145100 107345250 107560368 109683270 110808000 112042050 113221440 114501600 114636708 115776785 116995488 117939000 119511520 121005414 121870300 127224000 127374120 131619924 132681375 134450460 137401920 138932142 141526800 143127000 143295885 143413824 146244360 149389400 152337875 152848944 157252000 159217650 161340552 164524905 168063075 169832160 171752400 175493232 176908500 179267280 180792000 181508121 182805450 185242856 186736750 188702400 190836000 191061180 194992480 197429886 201675690 203798592 208398213 212290200 214690500 215120736 219366540 224084100 229003200 229273416 231553570 233990976 235878000 238826475 239023040 242010828 243740600 254748240 263239848 265362750 268900920 274208175 277864284 280105125 283053600 286254000 286591770 292488720 296144829 298778800 302513535 304675750 305697888 314504000 318435300 322681104 329049810 336126150 339664320 343504800 347330355 350986464 353817000 358534560 363016242 365610900 370485712 373473500 381672000 382122360 389984960 394859772 398044125 403351380 416796426 424580400 429381000 430241472 438733080 448168200 457013625 458546832 463107140 471756000 477652950 484021656 487481200 493574715 504189225 509496480 526479696 530725500 537801840 544524363 548416350 555728568 560210250 566107200 572508000 573183540 578883925 584977440 592289658 597557600 605027070 609351500 611395776 625194639 636870600 645362208 658099620 672252300 687009600 694660710 701972928 707634000 716479425 717069120 726032484 731221800 740971424 746947000 764244720 789719544 796088250 806702760 822624525 833592852 840315375 849160800 858762000 877466160 888434487 896336400 907540605 914027250 917093664 926214280 943512000 955305900 968043312 974962400 987149430 1008378450 1018992960 1041991065 1052959392 1061451000 1075603680 1089048726 1096832700 1111457136 1120420500 1145016000 1146367080 1157767850 1169954880 1184579316 1194132375 1195115200 1210054140 1218703000 1250389278 1273741200 1290724416 1316199240 1344504600 1371040875 1389321420 1415268000 1432958850 1452064968 1462443600 1480724145 1481942848 1493894000 1512567675 1528489440 1579439088 1592176500 1613405520 1645249050 1667185704 1680630750 1698321600 1717524000 1736651775 1754932320 1776868974 1792672800 1815081210 1828054500 1834187328 1852428560 1875583917 1910611800 1936086624 1949924800 1974298860 2016756900 2083982130 2105918784 2122902000 2151207360 2178097452 2193665400 2222914272 2240841000 2292734160 2315535700 2369158632 2388264750 2420108280 2437406000 2467873575 2500778556 2520946125 2547482400 2632398480 2689009200 2722621815 2742081750 2778642840 2830536000 2865917700 2894419625 2904129936 2924887200 2961448290 2987788000 3025135350 3056978880 3125973195 3158878176 3184353000 3226811040 3290498100 3334371408 3361261500 3435048000 3473303550 3509864640 3553737948 3582397125 3585345600 3630162420 3656109000 3704857120 3751167834 3821223600 3872173248 3948597720 4033513800 4113122625 4167964260 4245804000 4356194904 4387330800 4442172435 4445828544 4481682000 4537703025 4585468320 4631071400 4738317264 4776529500 4840216560 4874812000 4935747150 5001557112 5041892250 5094964800 5209955325 5264796960 5378018400 5445243630 5484163500 5557285680 5626751751 5731835400 5788839250 5808259872 5849774400 5922896580 5975576000 6050270700 6251946390 6317756352 6368706000 6453622080 6580996200 6668742816 6722523000 6946607100 7107475896 7164794250 7260324840 7312218000 7403620725 7409714240 7502335668 7562838375 7642447200 7897195440 8067027600 8226245250 8335928520 8491608000 8683258875 8712389808 8774661600 8884344870 8963364000 9075406050 9170936640 9262142800 9377919585 9476634528 9553059000 9680433120 9749624000 9871494300 10003114224 10083784500 10419910650 10529593920 10756036800 10890487260 10968327000 11114571360 11253503502 11463670800 11577678500 11616519744 11845793160 12100541400 12339367875 12503892780 12737412000 13161992400 13337485632 13445046000 13613109075 13893214200 14214951792 14329588500 14520649680 14624436000 14807241450 15004671336 15125676750 15284894400 15629865975 15794390880 16134055200 16452490500 16671857040 16880255253 17366517750 17424779616 17549323200 17768689740 17926728000 18150812100 18524285600 18755839170 18953269056 19106118000 19360866240 19742988600 20006228448 20167569000 20839821300 21780974520 21936654000 22210862175 22229142720 22507007004 22688515125 22927341600 23155357000 23691586320 24201082800 24678735750 25007785560 25474824000 26049776625 26323984800 26890092000 27226218150 27786428400 28133758755 28429903584 28659177000 29041299360 29248872000 29614482900 30009342672 30251353500 31259731950 31588781760 32268110400 32904981000 33343714080 33760510506 34733035500 34849559232 35537379480 36301624200 37018103625 37048571200 37511678340 38212236000 39485977200 40012456896 40335138000 41679642600 43561949040 43873308000 44421724350 45014014008 45377030250 45854683200 46310714000 46889597925 47383172640 48402165600 49357471500 50015571120 52099553250 52647969600 53780184000 54452436300 55572856800 56267517510 56859807168 57318354000 58082598720 59228965800 60018685344 60502707000 62519463900 65809962000 66687428160 67521021012 68065545375 69466071000 71074758960 72603248400 74036207250 75023356680 76424472000 78149329875 78971954400 80670276000 83359285200 84401276265 87123898080 87746616000 88843448700 90028028016 90754060500 92621428000 93779195850 94766345280 96804331200 98714943000 100031142240 104199106500 108904872600 111054310875 111145713600 112535035020 114636708000 118457931600 120037370688 121005414000 125038927800 131619924000 135042042024 136131090750 138932142000 140668793775 142149517920 145206496800 148072414500 150046713360 156298659750 157943908800 161340552000 166718570400 168802552530 174247796160 177686897400 180056056032 181508121000 185242856000 187558391700 197429886000 200062284480 208398213000 217809745200 222108621750 225070070040 229273416000 234447989625 236915863200 242010828000 250077855600 263239848000 270084084048 272262181500 277864284000 281337587550 284299035840 290412993600 296144829000 300093426720 312597319500 333437140800 337605105060 355373794800 360112112064 363016242000 375116783400 394859772000 416796426000 422006381325 435619490400 444217243500 450140140080 468895979250 473831726400 484021656000 500155711200 540168168096 544524363000 555728568000 562675175100 592289658000 600186853440 625194639000 675210210120 703343968875 710747589600 726032484000 750233566800 789719544000 833592852000 844012762650 871238980800 888434487000 900280280160 937791958500 1000311422400 1080336336192 1089048726000 1125350350200 1184579316000 1250389278000 1350420420240 1406687937750 1421495179200 1452064968000 1500467133600 1667185704000 1688025525300 1776868974000 1800560560320 1875583917000 2110031906625 2178097452000 2250700700400 2369158632000 2500778556000 2700840840480 2813375875500 3000934267200 3376051050600 3553737948000 3751167834000 4220063813250 4356194904000 4501401400800 5001557112000 5401681680960 5626751751000 6752102101200 7107475896000 7502335668000 8440127626500 9002802801600 11253503502000 13504204202400 15004671336000 16880255253000 22507007004000 27008408404800 33760510506000 45014014008000 67521021012000 135042042024000
- Sum of all divisors σ(n): 544848410895360
- Sum of proper divisors (its aliquot sum) s(n): 409806368871360
- 135042042024000 is an abundant number, because the sum of its proper divisors (409806368871360) is greater than itself. Its abundance is 274764326847360
Bases of 135042042024000
- Binary: 111101011010001111011001111000111010000010000002
- Hexadecimal: 0x7AD1ECF1D040
- Base-36: 1BV9GH5000
Squares and roots of 135042042024000
- 135042042024000 squared (1350420420240002) is 18236353114011782016576000000
- 135042042024000 cubed (1350420420240003) is 2462674363586882330313583656589824000000000
-
The
square root of 135042042024000 is 11620759.0984410309 -
The
cube root of 135042042024000 is 51304.6030957285
Scales and comparisons
How big is 135042042024000?- 135,042,042,024,000 seconds is equal to 4,293,919 years, 11 weeks, 4 days, 12 hours.
-
To count from 1 to 135,042,042,024,000 would take you about ten million, seven hundred thirty-four thousand, seven hundred ninety-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 135042042024000 cubic inches would be around 4275.4 feet tall.
Recreational maths with 135042042024000
- 135042042024000 backwards is 000420240240531
- 135042042024000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135042042024000's digits is 27
- More coming soon!
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"Number 135042042024000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
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Numbermatics. (2024). Number 135042042024000 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/135042042024000/
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The information we have on file for 135042042024000 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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